1 / 4 / PI / r^2 * a * (erf(r / t) - 2 / sqrt(PI) * exp(- r^2 / t^2) * r)

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 57 to 40 computations (29.8% saved)

sample3.9s (47.7%)

Memory
239.9MiB live, 1 972.1MiB allocated
Samples
2.7s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-div: 863.0ms (36.7% of total)
ival-mult: 464.0ms (19.7% of total)
ival-pow2: 287.0ms (12.2% of total)
ival-<=: 259.0ms (11% of total)
ival-exp: 104.0ms (4.4% of total)
ival-erf: 80.0ms (3.4% of total)
ival-sqrt: 76.0ms (3.2% of total)
ival-sub: 47.0ms (2% of total)
ival-and: 45.0ms (1.9% of total)
ival-neg: 45.0ms (1.9% of total)
ival-pi: 44.0ms (1.9% of total)
exact: 32.0ms (1.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain673.0ms (8.2%)

Memory
172.4MiB live, 391.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))
00-0-(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
00-0-(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
00-0-a
00-0-#s(literal 1 binary64)
00-0-t
00-0-(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
00-0-(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a)
00-0-(pow.f64 t #s(literal 2 binary64))
00-0-(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
00-0-(PI.f64)
00-0-(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
00-0-(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64)))
00-0-(pow.f64 r #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-(erf.f64 (/.f64 r t))
00-0-(/.f64 r t)
00-0-(sqrt.f64 (PI.f64))
00-0-#s(literal 2 binary64)
00-0-(neg.f64 (pow.f64 r #s(literal 2 binary64)))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)
00-0-r
00-0-(/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))sensitivity54
Confusion
Predicted +Predicted -
+00
-5251
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-54247
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
97.0ms512×0valid
Compiler

Compiled 355 to 76 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-div: 21.0ms (30.5% of total)
ival-mult: 12.0ms (17.4% of total)
ival-pow2: 12.0ms (17.4% of total)
ival-exp: 6.0ms (8.7% of total)
ival-erf: 5.0ms (7.3% of total)
ival-sqrt: 4.0ms (5.8% of total)
ival-sub: 3.0ms (4.4% of total)
ival-pi: 2.0ms (2.9% of total)
ival-neg: 2.0ms (2.9% of total)
ival-true: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess265.0ms (3.2%)

Memory
-145.6MiB live, 38.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085302
1252284
21103270
35745270
02431
04331
17131
219130
368030
4315530
5616030
0808929
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) #s(literal -2 binary64) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) r)) (/.f64 (/.f64 a (PI.f64)) r))
Symmetry

(negabs a)

(negabs r)

Compiler

Compiled 33 to 24 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify124.0ms (1.5%)

Memory
31.7MiB live, 31.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
cost-diff1
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
cost-diff1
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024149
043149
171149
2191145
3680145
43155145
56160145
08089143
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64))
(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
#s(literal 1 binary64)
#s(literal 4 binary64)
(PI.f64)
(pow.f64 r #s(literal 2 binary64))
r
#s(literal 2 binary64)
a
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
(erf.f64 (/.f64 r t))
(/.f64 r t)
t
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
(neg.f64 (pow.f64 r #s(literal 2 binary64)))
(pow.f64 t #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) #s(literal -2 binary64) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) r)) (/.f64 (/.f64 a (PI.f64)) r))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a)
(*.f64 (/.f64 (/.f64 (/.f64 a (PI.f64)) r) r) #s(literal 1/4 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/4 binary64) r) (*.f64 r (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64))
(/.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(literal 4 binary64)
(PI.f64)
(pow.f64 r #s(literal 2 binary64))
(*.f64 r r)
r
#s(literal 2 binary64)
a
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
(fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) #s(literal -2 binary64) (erf.f64 (/.f64 r t)))
(erf.f64 (/.f64 r t))
(/.f64 r t)
t
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)
(*.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))
(pow.f64 (exp.f64 r) (/.f64 (/.f64 (neg.f64 r) t) t))
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 r) t) t) r)
(neg.f64 (pow.f64 r #s(literal 2 binary64)))
(*.f64 (neg.f64 r) r)
(pow.f64 t #s(literal 2 binary64))
(*.f64 t t)

localize85.0ms (1%)

Memory
-61.4MiB live, 28.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.28125
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a)
accuracy0.3444137695368841
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
accuracy0.4609375
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64)))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
69.0ms256×0valid
Compiler

Compiled 161 to 26 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-neg: 18.0ms (35.9% of total)
ival-div: 11.0ms (21.9% of total)
ival-mult: 6.0ms (12% of total)
ival-pow2: 5.0ms (10% of total)
ival-exp: 3.0ms (6% of total)
ival-erf: 3.0ms (6% of total)
ival-sqrt: 2.0ms (4% of total)
ival-pi: 1.0ms (2% of total)
ival-sub: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
8 → 34
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(sqrt.f64 (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a)
Outputs
(erf (/ r t))
(+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))
(+ (erf (/ r t)) (* r (- (* 2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))))
(+ (erf (/ r t)) (* r (- (* (pow r 2) (- (* -1 (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI))))) (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))))) (* 2 (sqrt (/ 1 (PI)))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/3 (* (/ (pow r 2) (pow t 6)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow t 4)) (sqrt (/ 1 (PI)))))))))
(* 1/4 (/ (* a (erf (/ r t))) (* (pow r 2) (PI))))
(/ (+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI)))) (pow r 2))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))) (pow r 2))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))))) (pow r 2))
(/ 1/4 (* (pow r 2) (PI)))
(* -1 (/ (pow r 2) (pow t 2)))
(* 1/4 (/ a (* (pow r 2) (PI))))
(* -2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI)))))
(* r (- (/ (erf (/ r t)) r) (* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))))
(* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))
(* -1/2 (* (/ (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) r) (sqrt (/ 1 (pow (PI) 3)))))
(/ (+ (* -1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (* r (PI))))) r)
(* -1 (* r (- (* -1 (/ (erf (/ r t)) r)) (* -2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2)))))))))
(* -1 (/ (+ (* -1/4 (/ (* a (erf (/ r t))) (* r (PI)))) (* 1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))) r))
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))
(- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))
(- (+ (erf (/ r t)) (* 2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI)))))) (* 2 (* r (sqrt (/ 1 (PI))))))
(- (+ (erf (/ r t)) (* -1 (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (* r (sqrt (/ 1 (PI)))))))
(- (+ (erf (/ r t)) (* 1/3 (* (/ (pow r 7) (pow t 6)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (* r (sqrt (/ 1 (PI))))) (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI))))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* -1/3 (* (/ (pow r 6) (pow t 6)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI)))))))
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/12 (* (/ (* a (pow r 5)) (pow t 6)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
t
@0
((/ 1 4) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (sqrt (PI)) (/ (/ (/ 1 4) (PI)) (pow r 2)) (/ (neg (pow r 2)) (pow t 2)) (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a))
6.0ms
r
@inf
((/ 1 4) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (sqrt (PI)) (/ (/ (/ 1 4) (PI)) (pow r 2)) (/ (neg (pow r 2)) (pow t 2)) (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a))
5.0ms
r
@0
((/ 1 4) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (sqrt (PI)) (/ (/ (/ 1 4) (PI)) (pow r 2)) (/ (neg (pow r 2)) (pow t 2)) (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a))
4.0ms
a
@0
((/ 1 4) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (sqrt (PI)) (/ (/ (/ 1 4) (PI)) (pow r 2)) (/ (neg (pow r 2)) (pow t 2)) (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a))
4.0ms
t
@inf
((/ 1 4) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (sqrt (PI)) (/ (/ (/ 1 4) (PI)) (pow r 2)) (/ (neg (pow r 2)) (pow t 2)) (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a))

simplify159.0ms (2%)

Memory
43.8MiB live, 43.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921028
1555951
21885893
34770868
08105825
Stop Event
1×iter limit
1×node limit
Counts
34 → 34
Calls
Call 1
Inputs
(erf (/ r t))
(+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))
(+ (erf (/ r t)) (* r (- (* 2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))))
(+ (erf (/ r t)) (* r (- (* (pow r 2) (- (* -1 (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI))))) (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))))) (* 2 (sqrt (/ 1 (PI)))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/3 (* (/ (pow r 2) (pow t 6)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow t 4)) (sqrt (/ 1 (PI)))))))))
(* 1/4 (/ (* a (erf (/ r t))) (* (pow r 2) (PI))))
(/ (+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI)))) (pow r 2))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))) (pow r 2))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))))) (pow r 2))
(/ 1/4 (* (pow r 2) (PI)))
(* -1 (/ (pow r 2) (pow t 2)))
(* 1/4 (/ a (* (pow r 2) (PI))))
(* -2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI)))))
(* r (- (/ (erf (/ r t)) r) (* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))))
(* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))
(* -1/2 (* (/ (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) r) (sqrt (/ 1 (pow (PI) 3)))))
(/ (+ (* -1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (* r (PI))))) r)
(* -1 (* r (- (* -1 (/ (erf (/ r t)) r)) (* -2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2)))))))))
(* -1 (/ (+ (* -1/4 (/ (* a (erf (/ r t))) (* r (PI)))) (* 1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))) r))
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))
(- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))
(- (+ (erf (/ r t)) (* 2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI)))))) (* 2 (* r (sqrt (/ 1 (PI))))))
(- (+ (erf (/ r t)) (* -1 (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (* r (sqrt (/ 1 (PI)))))))
(- (+ (erf (/ r t)) (* 1/3 (* (/ (pow r 7) (pow t 6)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (* r (sqrt (/ 1 (PI))))) (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI))))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* -1/3 (* (/ (pow r 6) (pow t 6)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI)))))))
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/12 (* (/ (* a (pow r 5)) (pow t 6)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
Outputs
(erf (/ r t))
(erf.f64 (/.f64 r t))
(+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))
(fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))
(+ (erf (/ r t)) (* r (- (* 2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -2 binary64)) (-.f64 r (/.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) t) t)) (erf.f64 (/.f64 r t)))
(+ (erf (/ r t)) (* r (- (* (pow r 2) (- (* -1 (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI))))) (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))))) (* 2 (sqrt (/ 1 (PI)))))))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 r r) (fma.f64 (/.f64 r (pow.f64 t #s(literal 4 binary64))) r (/.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal 2 binary64)))) r (erf.f64 (/.f64 r t)))
(* 2 (sqrt (/ 1 (PI))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 t t)) (*.f64 r r) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 r r) (fma.f64 (/.f64 r (pow.f64 t #s(literal 4 binary64))) r (/.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal 2 binary64)))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/3 (* (/ (pow r 2) (pow t 6)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow t 4)) (sqrt (/ 1 (PI)))))))))
(fma.f64 (pow.f64 r #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 r (pow.f64 t #s(literal 6 binary64))) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 t t)) (*.f64 r r) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* 1/4 (/ (* a (erf (/ r t))) (* (pow r 2) (PI))))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))))
(/ (+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI)))) (pow r 2))
(/.f64 (*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) r) #s(literal -1/2 binary64) (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 r r))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))) (pow r 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))))) (pow r 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 r r) (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 a t) (*.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 r (pow.f64 t #s(literal 4 binary64))) r))) (*.f64 #s(literal -1/2 binary64) a))) r)) (*.f64 r r))
(/ 1/4 (* (pow r 2) (PI)))
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r r) (PI.f64)))
(* -1 (/ (pow r 2) (pow t 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 r) t) t) r)
(* 1/4 (/ a (* (pow r 2) (PI))))
(*.f64 (/.f64 a (*.f64 (*.f64 r r) (PI.f64))) #s(literal 1/4 binary64))
(* -2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI)))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(* r (- (/ (erf (/ r t)) r) (* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (erf.f64 (/.f64 r t)) r)) r)
(* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t)))
(* -1/2 (* (/ (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) r) (sqrt (/ 1 (pow (PI) 3)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (/.f64 (/.f64 a r) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))))
(/ (+ (* -1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (* r (PI))))) r)
(/.f64 (*.f64 a (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) #s(literal -1/2 binary64) (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r)) #s(literal 1/4 binary64)))) r)
(* -1 (* r (- (* -1 (/ (erf (/ r t)) r)) (* -2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2)))))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (erf.f64 (/.f64 r t)) r)) r)
(* -1 (/ (+ (* -1/4 (/ (* a (erf (/ r t))) (* r (PI)))) (* 1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))) r))
(/.f64 (*.f64 a (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) #s(literal -1/2 binary64) (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r)) #s(literal 1/4 binary64)))) r)
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(*.f64 (/.f64 (*.f64 (/.f64 a r) #s(literal 1/4 binary64)) (PI.f64)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) (erf.f64 (/.f64 r t))) r))
(- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))
(fma.f64 (*.f64 #s(literal -2 binary64) r) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) (erf.f64 (/.f64 r t)))
(- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))
(fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))
(- (+ (erf (/ r t)) (* 2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI)))))) (* 2 (* r (sqrt (/ 1 (PI))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -2 binary64)) (-.f64 r (/.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) t) t)) (erf.f64 (/.f64 r t)))
(- (+ (erf (/ r t)) (* -1 (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (* r (sqrt (/ 1 (PI)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) t) t) r) (/.f64 (neg.f64 (pow.f64 r #s(literal 5 binary64))) (pow.f64 t #s(literal 4 binary64)))) (erf.f64 (/.f64 r t)))
(- (+ (erf (/ r t)) (* 1/3 (* (/ (pow r 7) (pow t 6)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (* r (sqrt (/ 1 (PI))))) (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 7 binary64)) (pow.f64 t #s(literal 6 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) t) t) r))) (/.f64 (pow.f64 r #s(literal 5 binary64)) (pow.f64 t #s(literal 4 binary64)))) (erf.f64 (/.f64 r t)))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 r r) (fma.f64 (/.f64 r (pow.f64 t #s(literal 4 binary64))) r (/.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal 2 binary64)))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* -1/3 (* (/ (pow r 6) (pow t 6)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 r r) (fma.f64 (/.f64 r (pow.f64 t #s(literal 4 binary64))) r (/.f64 #s(literal -2 binary64) (*.f64 t t))) (fma.f64 (/.f64 (pow.f64 r #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/3 binary64) #s(literal 2 binary64))))
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)))
(+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) (*.f64 (*.f64 (*.f64 (/.f64 a (*.f64 t t)) r) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (/.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 a (*.f64 t t)) r) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/12 (* (/ (* a (pow r 5)) (pow t 6)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/12 binary64) a) (/.f64 (pow.f64 r #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (/.f64 r t)) (/.f64 (*.f64 (*.f64 (pow.f64 r #s(literal 3 binary64)) a) #s(literal -1/4 binary64)) (pow.f64 t #s(literal 4 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r))))

rewrite177.0ms (2.2%)

Memory
-18.4MiB live, 58.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02493
04393
114693
286882
0817480
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 627
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 4 binary64))
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(sqrt.f64 (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a)
Outputs
#s(literal 1/4 binary64)
(*.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 3 binary64))) (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))))) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))))) (-.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 2 binary64))) (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))) #s(literal -1 binary64)) (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (pow.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (pow.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) (erf.f64 (/.f64 r t))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 4 binary64))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t)))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64))))
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(/.f64 (*.f64 a (/.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 r r))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 r a) (*.f64 (*.f64 r #s(literal 4 binary64)) (PI.f64)))))
(/.f64 a (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 4 binary64)) r) r))
(/.f64 #s(literal 1 binary64) (/.f64 r (*.f64 a (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 r r) (PI.f64)) (*.f64 a #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 r a) (*.f64 (*.f64 r #s(literal 4 binary64)) (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 r a) (*.f64 (*.f64 r #s(literal 4 binary64)) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (PI.f64)) a) (*.f64 r r)))
(neg.f64 (*.f64 a (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 r r) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 r r) (PI.f64))) a))
(neg.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (pow.f64 r #s(literal -2 binary64)) a)))
(neg.f64 (/.f64 (*.f64 a (/.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (neg.f64 r) r)))

eval88.0ms (1.1%)

Memory
-7.4MiB live, 68.5MiB allocated
Compiler

Compiled 27 727 to 2 493 computations (91% saved)

prune34.0ms (0.4%)

Memory
39.0MiB live, 39.0MiB allocated
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New63026656
Fresh000
Picked101
Done000
Total63126657
Accuracy
100.0%
Counts
657 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (*.f64 (/.f64 r a) (*.f64 (*.f64 r #s(literal 4 binary64)) (PI.f64))))
99.0%
(/.f64 (/.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r) r)
99.2%
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (*.f64 r r)) (PI.f64))
▶99.2%
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
99.2%
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 r r) (PI.f64)))
99.1%
(/.f64 (*.f64 (*.f64 (pow.f64 r #s(literal -2 binary64)) a) (/.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))))
99.2%
(/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 4 binary64)) r) r))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))) (*.f64 r r)) (*.f64 (*.f64 a (/.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 2 binary64))))))
98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 4 binary64)) r) r) (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))))
99.2%
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) r) (*.f64 a (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r)))
98.9%
(*.f64 (/.f64 (/.f64 (*.f64 a (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r)) (sqrt.f64 r)) (sqrt.f64 r)) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
98.5%
(*.f64 (/.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) r)) (*.f64 (sqrt.f64 (PI.f64)) r)) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
▶99.2%
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
▶99.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
99.1%
(*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (*.f64 (PI.f64) r)))
99.1%
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (*.f64 (neg.f64 r) r) (*.f64 t t)))) r)))
34.5%
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 #s(approx (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 t t)) (*.f64 r r) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) r)))
28.3%
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
74.1%
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
96.4%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 4 binary64)) r) r)) #s(literal -1 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
99.1%
(neg.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 r r) (PI.f64))) (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))))
34.5%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) (*.f64 (*.f64 (*.f64 (/.f64 a (*.f64 t t)) r) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))
▶34.5%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r)))
28.2%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) r) #s(literal -1/2 binary64) (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 r r)))
28.3%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r))))
▶74.1%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
Compiler

Compiled 1 982 to 1 428 computations (28% saved)

simplify174.0ms (2.1%)

Memory
-49.2MiB live, 35.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 r r)
cost-diff0
(*.f64 (*.f64 r r) #s(literal -4 binary64))
cost-diff1
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
cost-diff2
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64)))
cost-diff0
(*.f64 a #s(literal 1/4 binary64))
cost-diff0
(*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))
cost-diff0
(/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r)
cost-diff0
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r))
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r))
cost-diff0
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r)))
cost-diff2
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a))
cost-diff0
(/.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff0
(/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r)
cost-diff0
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))))
cost-diff0
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
cost-diff0
(/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64)))
cost-diff0
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
cost-diff1
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
cost-diff1
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085778
0142775
1267773
2722761
32598761
44361761
08180751
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64)))
(*.f64 a #s(literal 1/4 binary64))
a
#s(literal 1/4 binary64)
(*.f64 (*.f64 r r) (PI.f64))
(*.f64 r r)
r
(PI.f64)
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
(erf.f64 (/.f64 r t))
(/.f64 r t)
t
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
(neg.f64 (pow.f64 r #s(literal 2 binary64)))
(pow.f64 r #s(literal 2 binary64))
(pow.f64 t #s(literal 2 binary64))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r)
(/.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
r
(*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))
(/.f64 a r)
a
(erf.f64 (/.f64 r t))
(/.f64 r t)
t
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r))
(*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t)))
#s(literal 1/4 binary64)
(erf.f64 (/.f64 r t))
(/.f64 r t)
r
t
(/.f64 a (PI.f64))
a
(PI.f64)
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
(*.f64 a (*.f64 r (/.f64 r t)))
(*.f64 r (/.f64 r t))
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 r r)
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
(/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r)
(*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))
(*.f64 a #s(literal 1/4 binary64))
a
#s(literal 1/4 binary64)
(fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64)))
#s(literal -2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))
r
(exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))
(pow.f64 (/.f64 t r) #s(literal -2 binary64))
(/.f64 t r)
t
(erf.f64 (/.f64 r t))
(/.f64 r t)
(*.f64 (PI.f64) r)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 r r) #s(literal -4 binary64))
(*.f64 r r)
r
#s(literal -4 binary64)
(/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64)))
(*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))
a
(fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64)))
#s(literal -2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))
(exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))
(pow.f64 (/.f64 t r) #s(literal -2 binary64))
(/.f64 t r)
t
(erf.f64 (/.f64 r t))
(/.f64 r t)
(neg.f64 (PI.f64))
Outputs
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) (/.f64 r (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 (/.f64 (/.f64 (/.f64 a (PI.f64)) r) r) #s(literal 1/4 binary64)))
(/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 a (PI.f64)) r) r) #s(literal 1/4 binary64))
(*.f64 a #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) a)
a
#s(literal 1/4 binary64)
(*.f64 (*.f64 r r) (PI.f64))
(*.f64 (PI.f64) (*.f64 r r))
(*.f64 r r)
r
(PI.f64)
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
(fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) (/.f64 r (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t)))
(erf.f64 (/.f64 r t))
(/.f64 r t)
t
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) r)
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))
(pow.f64 (exp.f64 r) (/.f64 (/.f64 (neg.f64 r) t) t))
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 r) t) t) r)
(neg.f64 (pow.f64 r #s(literal 2 binary64)))
(*.f64 (neg.f64 r) r)
(pow.f64 r #s(literal 2 binary64))
(*.f64 r r)
(pow.f64 t #s(literal 2 binary64))
(*.f64 t t)
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) r) r) (*.f64 (/.f64 a (PI.f64)) (erf.f64 (/.f64 r t)))))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) r) r) (*.f64 (/.f64 a (PI.f64)) (erf.f64 (/.f64 r t))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r)
(/.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
r
(*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))
(/.f64 a r)
a
(erf.f64 (/.f64 r t))
(/.f64 r t)
t
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 a (fma.f64 (*.f64 (/.f64 r t) r) (/.f64 #s(literal 1/2 binary64) t) #s(literal -1/2 binary64)))) r (*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 1/4 binary64)) (erf.f64 (/.f64 r t)))) (*.f64 r r)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 a (fma.f64 (*.f64 (/.f64 r t) r) (/.f64 #s(literal 1/2 binary64) t) #s(literal -1/2 binary64)))) r (*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 1/4 binary64)) (erf.f64 (/.f64 r t)))) (*.f64 r r))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 a (fma.f64 (*.f64 (/.f64 r t) r) (/.f64 #s(literal 1/2 binary64) t) #s(literal -1/2 binary64)))) r (*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 1/4 binary64)) (erf.f64 (/.f64 r t))))
(*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t)))
(*.f64 (erf.f64 (/.f64 r t)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(erf.f64 (/.f64 r t))
(/.f64 r t)
r
t
(/.f64 a (PI.f64))
a
(PI.f64)
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)
(*.f64 (*.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 r t) r) (/.f64 #s(literal 1/2 binary64) t) #s(literal -1/2 binary64))) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 a (fma.f64 (*.f64 (/.f64 r t) r) (/.f64 #s(literal 1/2 binary64) t) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 a (fma.f64 (*.f64 (/.f64 r t) r) (/.f64 #s(literal 1/2 binary64) t) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
(*.f64 a (*.f64 r (/.f64 r t)))
(*.f64 (*.f64 (/.f64 r t) r) a)
(*.f64 r (/.f64 r t))
(*.f64 (/.f64 r t) r)
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 r r)
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
(*.f64 (fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal -2 binary64) (erf.f64 (/.f64 r t))) (*.f64 (/.f64 (/.f64 (/.f64 a (PI.f64)) r) r) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r)
(*.f64 (*.f64 (/.f64 a r) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal -2 binary64) (erf.f64 (/.f64 r t))))
(*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (*.f64 (erf.f64 (/.f64 r t)) #s(literal 1/4 binary64))) a)
(*.f64 a #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) a)
a
#s(literal 1/4 binary64)
(fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))
(fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal -2 binary64) (erf.f64 (/.f64 r t)))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64)))
#s(literal -2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))
r
(exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))
(pow.f64 (/.f64 t r) #s(literal -2 binary64))
(/.f64 t r)
t
(erf.f64 (/.f64 r t))
(/.f64 r t)
(*.f64 (PI.f64) r)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
(*.f64 (fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal -2 binary64) (erf.f64 (/.f64 r t))) (*.f64 (/.f64 (/.f64 (/.f64 a (PI.f64)) r) r) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64)))
(/.f64 #s(literal -1/4 binary64) (*.f64 r r))
#s(literal 1 binary64)
(*.f64 (*.f64 r r) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 r r))
(*.f64 r r)
r
#s(literal -4 binary64)
(/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64)))
(*.f64 (/.f64 a (neg.f64 (PI.f64))) (fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal -2 binary64) (erf.f64 (/.f64 r t))))
(*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))
(*.f64 (fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal -2 binary64) (erf.f64 (/.f64 r t))) a)
a
(fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))
(fma.f64 (/.f64 (/.f64 r (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal -2 binary64) (erf.f64 (/.f64 r t)))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64)))
#s(literal -2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))
(exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))
(pow.f64 (/.f64 t r) #s(literal -2 binary64))
(/.f64 t r)
t
(erf.f64 (/.f64 r t))
(/.f64 r t)
(neg.f64 (PI.f64))

localize215.0ms (2.6%)

Memory
37.3MiB live, 109.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33203125
(/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64)))
accuracy0.41025225383409386
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
accuracy0.5058975586106522
(pow.f64 (/.f64 t r) #s(literal -2 binary64))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0.2624576809788428
(exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))
accuracy0.32650375976844204
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
accuracy0.5058975586106522
(pow.f64 (/.f64 t r) #s(literal -2 binary64))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0.313163769536884
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a))
accuracy0.40700926611516786
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy41.79621474442476
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r)))
accuracy0.125
(*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))
accuracy0.29525375976844204
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))))
accuracy0.38671875
(/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r)
accuracy16.2767340940051
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
accuracy0.27659123016428755
(/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64)))
accuracy0.29296875
(*.f64 (*.f64 r r) (PI.f64))
accuracy0.3444137695368841
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
143.0ms256×0valid
Compiler

Compiled 746 to 75 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-div: 36.0ms (34% of total)
ival-mult: 36.0ms (34% of total)
ival-exp: 6.0ms (5.7% of total)
ival-pow2: 6.0ms (5.7% of total)
ival-pow: 5.0ms (4.7% of total)
ival-add: 4.0ms (3.8% of total)
ival-sqrt: 4.0ms (3.8% of total)
ival-erf: 3.0ms (2.8% of total)
ival-neg: 2.0ms (1.9% of total)
ival-pi: 1.0ms (0.9% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series110.0ms (1.4%)

Memory
-31.2MiB live, 43.5MiB allocated
Counts
28 → 119
Calls
Call 1
Inputs
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r)
(/.f64 #s(literal 1/4 binary64) (PI.f64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r))
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
(/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r)
(*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))
(*.f64 a #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
(*.f64 (*.f64 r r) #s(literal -4 binary64))
(*.f64 r r)
(sqrt.f64 (PI.f64))
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
(*.f64 (*.f64 r r) (PI.f64))
(*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (/.f64 t r) #s(literal -2 binary64))
(exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))
(/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64)))
Outputs
(erf (/ r t))
(+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))
(+ (erf (/ r t)) (* r (- (* 2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))))
(+ (erf (/ r t)) (* r (- (* (pow r 2) (- (* -1 (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI))))) (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))))) (* 2 (sqrt (/ 1 (PI)))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/3 (* (/ (pow r 2) (pow t 6)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow t 4)) (sqrt (/ 1 (PI)))))))))
(* 1/4 (/ (* a (erf (/ r t))) (* (pow r 2) (PI))))
(/ (+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI)))) (pow r 2))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))) (pow r 2))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))))) (pow r 2))
(* 1/4 (/ a (* (pow r 2) (PI))))
(/ 1/4 (* r (PI)))
(* -1/2 a)
(+ (* -1/2 a) (* 1/2 (/ (* a (pow r 2)) (pow t 2))))
(* 1/4 (/ (* a (erf (/ r t))) (PI)))
(+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI))))
(+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* 1/4 (/ (* a (erf (/ r t))) r))
(/ (+ (* -1/2 (* (* a r) (sqrt (/ 1 (PI))))) (* 1/4 (* a (erf (/ r t))))) r)
(/ (+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI)))))))) r)
(/ (+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (PI)))))))))) r)
(* 1/4 (* a (erf (/ r t))))
(+ (* -1/2 (* (* a r) (sqrt (/ 1 (PI))))) (* 1/4 (* a (erf (/ r t)))))
(+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI))))))))
(+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (PI))))))))))
(/ -1/4 (pow r 2))
(* -4 (pow r 2))
(pow r 2)
(* -1 (/ (pow r 2) (pow t 2)))
(* (pow r 2) (PI))
(/ (* a (erf (/ r t))) r)
(/ (pow r 2) (pow t 2))
1
(+ 1 (/ (pow r 2) (pow t 2)))
(+ 1 (* (pow r 2) (+ (* 1/2 (/ (pow r 2) (pow t 4))) (/ 1 (pow t 2)))))
(+ 1 (* (pow r 2) (+ (* (pow r 2) (+ (* 1/6 (/ (pow r 2) (pow t 6))) (* 1/2 (/ 1 (pow t 4))))) (/ 1 (pow t 2)))))
(* -1 (/ (* a (erf (/ r t))) (PI)))
(+ (* -1 (/ (* a (erf (/ r t))) (PI))) (* 2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* -1 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 2 (* a (sqrt (/ 1 (pow (PI) 3))))))))
(+ (* -1 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* 2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* (pow r 2) (+ (* -2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3)))))))))
(* -2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI)))))
(* r (- (/ (erf (/ r t)) r) (* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))))
(* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))
(* -1/2 (* (/ (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) r) (sqrt (/ 1 (pow (PI) 3)))))
(/ (+ (* -1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (* r (PI))))) r)
(* 1/2 (/ (* a (pow r 2)) (pow t 2)))
(* (pow r 2) (+ (* -1/2 (/ a (pow r 2))) (* 1/2 (/ a (pow t 2)))))
(* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))
(* r (+ (* -1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(* r (+ (* -1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (erf (/ r t))) (* (pow r 3) (PI)))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))
(* (pow r 3) (+ (* -1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(* (pow r 3) (+ (* -1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (erf (/ r t))) (* (pow r 3) (PI)))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* -1/2 (* (/ a (* r (exp (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))
(/ (+ (* -1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (* r (PI))))) r)
(* -1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI)))))
(+ (* -1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))) (* 1/4 (/ (* a (erf (/ r t))) r)))
(* -1/2 (* (/ (* a r) (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI)))))
(* r (+ (* -1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))) (* 1/4 (/ (* a (erf (/ r t))) r))))
(exp (/ (pow r 2) (pow t 2)))
(* 2 (* (/ (* a r) (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3)))))
(* r (+ (* -1 (/ (* a (erf (/ r t))) (* r (PI)))) (* 2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3)))))))
(* -1 (* r (- (* -1 (/ (erf (/ r t)) r)) (* -2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2)))))))))
(* -1 (/ (+ (* -1/4 (/ (* a (erf (/ r t))) (* r (PI)))) (* 1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))) r))
(* -1 (* r (+ (* -1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* -1 (* r (+ (* -1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -1/4 (/ (* a (erf (/ r t))) (* (pow r 3) (PI)))) (* 1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3)))))))))
(* -1 (* (pow r 3) (+ (* -1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* -1 (* (pow r 3) (+ (* -1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -1/4 (/ (* a (erf (/ r t))) (* (pow r 3) (PI)))) (* 1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3)))))))))
(* -1 (/ (+ (* -1/4 (/ (* a (erf (/ r t))) (* r (PI)))) (* 1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3)))))) r))
(* -1 (* r (+ (* -1/4 (/ (* a (erf (/ r t))) r)) (* 1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))))
(* -1 (* r (+ (* -2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3))))) (/ (* a (erf (/ r t))) (* r (PI))))))
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(* a (- (* 1/2 (/ (pow r 2) (pow t 2))) 1/2))
(/ (* a (+ (* 1/4 (/ (erf (/ r t)) (PI))) (* (* r (- (* 1/2 (/ (pow r 2) (pow t 2))) 1/2)) (sqrt (/ 1 (pow (PI) 3)))))) (pow r 2))
(* a (+ (* 1/4 (/ (erf (/ r t)) (PI))) (* (* r (- (* 1/2 (/ (pow r 2) (pow t 2))) 1/2)) (sqrt (/ 1 (pow (PI) 3))))))
(* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* (/ r (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* (/ r (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))) r))
(* 1/4 (* a (+ (erf (/ r t)) (* -2 (* (/ r (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))))
(* 1/4 a)
(* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* (/ r (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))) (PI)))
(* -1 (* a (+ 1/2 (* -1/2 (/ (pow r 2) (pow t 2))))))
(* -1 (/ (* a (+ (* -1/4 (/ (erf (/ r t)) (PI))) (* (* r (+ 1/2 (* -1/2 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))) (pow r 2)))
(* -1 (* a (+ (* -1/4 (/ (erf (/ r t)) (PI))) (* (* r (+ 1/2 (* -1/2 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))))
(- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))
(/ (+ (* -1/2 (* a (pow t 2))) (* 1/2 (* a (pow r 2)))) (pow t 2))
(/ (+ (* 1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* (pow t 2) (+ (* -1/2 (* (/ a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (* (pow r 2) (PI))))))) (pow t 2))
(/ (+ (* 1/2 (* (* a (pow r 3)) (sqrt (/ 1 (pow (PI) 3))))) (* (pow t 2) (+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI)))))) (pow t 2))
(- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))
(- (+ (erf (/ r t)) (* 2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI)))))) (* 2 (* r (sqrt (/ 1 (PI))))))
(- (+ (erf (/ r t)) (* -1 (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (* r (sqrt (/ 1 (PI)))))))
(- (+ (erf (/ r t)) (* 1/3 (* (/ (pow r 7) (pow t 6)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (* r (sqrt (/ 1 (PI))))) (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI))))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* -1/3 (* (/ (pow r 6) (pow t 6)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI)))))))
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/12 (* (/ (* a (pow r 5)) (pow t 6)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(+ (* -1/2 (* (/ a r) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (erf (/ r t))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (+ (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (* (pow r 2) (pow t 4))) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (+ (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (* (pow r 2) (+ (* -1 (pow r 5)) (* 1/2 (pow r 5))))) (+ (* -1/2 (pow r 7)) (* 1/6 (pow r 7))))) (* (pow r 2) (pow t 6))) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (* (pow r 2) (pow t 4))) (sqrt (/ 1 (pow (PI) 3))))))))
(* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) r))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) r)) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI))))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) r)) (+ (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (* r (pow t 4))) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI)))))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) r)) (+ (* 1/2 (* (/ (* a (+ (* -1 (* (pow r 2) (+ (* -1 (pow r 5)) (* 1/2 (pow r 5))))) (+ (* -1/2 (pow r 7)) (* 1/6 (pow r 7))))) (* r (pow t 6))) (sqrt (/ 1 (PI))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (* r (pow t 4))) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI))))))))
(* 1/4 (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))))
(+ (* 1/4 (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI)))))))) (* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (PI))))))
(+ (* 1/4 (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI)))))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (pow t 4)) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (PI)))))))
(+ (* 1/4 (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI)))))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (* (pow r 2) (+ (* -1 (pow r 5)) (* 1/2 (pow r 5))))) (+ (* -1/2 (pow r 7)) (* 1/6 (pow r 7))))) (pow t 6)) (sqrt (/ 1 (PI))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (pow t 4)) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (PI))))))))
(+ 1 (+ (* 1/2 (/ (pow r 4) (pow t 4))) (/ (pow r 2) (pow t 2))))
(+ 1 (+ (* 1/6 (/ (pow r 6) (pow t 6))) (+ (* 1/2 (/ (pow r 4) (pow t 4))) (/ (pow r 2) (pow t 2)))))
(* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (PI)))
(+ (* -2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (PI))))
(+ (* -2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (PI)))))
(+ (* -2 (* (/ (* a (+ (* -1 (* (pow r 2) (+ (* -1 (pow r 5)) (* 1/2 (pow r 5))))) (+ (* -1/2 (pow r 7)) (* 1/6 (pow r 7))))) (pow t 6)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (PI))))))
Calls

9 calls:

TimeVariablePointExpression
27.0ms
a
@0
((- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (* a 1/4) (* (* r r) (PI))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (* (/ (/ 1/4 (PI)) r) (* (/ a r) (erf (/ r t)))) (/ (/ 1/4 (PI)) r) (/ 1/4 (PI)) (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (* a 1/4) (/ 1 (* (* r r) -4)) (* (/ 1 (* (* r r) -4)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI)))) (* (* r r) -4) (* r r) (sqrt (PI)) (/ (neg (pow r 2)) (pow t 2)) (* (* r r) (PI)) (* (/ a r) (erf (/ r t))) (pow (PI) 3) (pow (/ t r) -2) (exp (pow (/ t r) -2)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))))
16.0ms
r
@-inf
((- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (* a 1/4) (* (* r r) (PI))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (* (/ (/ 1/4 (PI)) r) (* (/ a r) (erf (/ r t)))) (/ (/ 1/4 (PI)) r) (/ 1/4 (PI)) (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (* a 1/4) (/ 1 (* (* r r) -4)) (* (/ 1 (* (* r r) -4)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI)))) (* (* r r) -4) (* r r) (sqrt (PI)) (/ (neg (pow r 2)) (pow t 2)) (* (* r r) (PI)) (* (/ a r) (erf (/ r t))) (pow (PI) 3) (pow (/ t r) -2) (exp (pow (/ t r) -2)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))))
10.0ms
t
@inf
((- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (* a 1/4) (* (* r r) (PI))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (* (/ (/ 1/4 (PI)) r) (* (/ a r) (erf (/ r t)))) (/ (/ 1/4 (PI)) r) (/ 1/4 (PI)) (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (* a 1/4) (/ 1 (* (* r r) -4)) (* (/ 1 (* (* r r) -4)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI)))) (* (* r r) -4) (* r r) (sqrt (PI)) (/ (neg (pow r 2)) (pow t 2)) (* (* r r) (PI)) (* (/ a r) (erf (/ r t))) (pow (PI) 3) (pow (/ t r) -2) (exp (pow (/ t r) -2)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))))
10.0ms
r
@inf
((- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (* a 1/4) (* (* r r) (PI))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (* (/ (/ 1/4 (PI)) r) (* (/ a r) (erf (/ r t)))) (/ (/ 1/4 (PI)) r) (/ 1/4 (PI)) (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (* a 1/4) (/ 1 (* (* r r) -4)) (* (/ 1 (* (* r r) -4)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI)))) (* (* r r) -4) (* r r) (sqrt (PI)) (/ (neg (pow r 2)) (pow t 2)) (* (* r r) (PI)) (* (/ a r) (erf (/ r t))) (pow (PI) 3) (pow (/ t r) -2) (exp (pow (/ t r) -2)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))))
9.0ms
t
@0
((- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (* a 1/4) (* (* r r) (PI))) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (* (/ (/ 1/4 (PI)) r) (* (/ a r) (erf (/ r t)))) (/ (/ 1/4 (PI)) r) (/ 1/4 (PI)) (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (* a 1/4) (/ 1 (* (* r r) -4)) (* (/ 1 (* (* r r) -4)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI)))) (* (* r r) -4) (* r r) (sqrt (PI)) (/ (neg (pow r 2)) (pow t 2)) (* (* r r) (PI)) (* (/ a r) (erf (/ r t))) (pow (PI) 3) (pow (/ t r) -2) (exp (pow (/ t r) -2)) (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))))

simplify188.0ms (2.3%)

Memory
54.4MiB live, 54.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04503608
114803362
253273235
080643083
Stop Event
1×iter limit
1×node limit
Counts
119 → 119
Calls
Call 1
Inputs
(erf (/ r t))
(+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))
(+ (erf (/ r t)) (* r (- (* 2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))))
(+ (erf (/ r t)) (* r (- (* (pow r 2) (- (* -1 (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI))))) (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))))) (* 2 (sqrt (/ 1 (PI)))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/3 (* (/ (pow r 2) (pow t 6)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow t 4)) (sqrt (/ 1 (PI)))))))))
(* 1/4 (/ (* a (erf (/ r t))) (* (pow r 2) (PI))))
(/ (+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI)))) (pow r 2))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))) (pow r 2))
(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))))) (pow r 2))
(* 1/4 (/ a (* (pow r 2) (PI))))
(/ 1/4 (* r (PI)))
(* -1/2 a)
(+ (* -1/2 a) (* 1/2 (/ (* a (pow r 2)) (pow t 2))))
(* 1/4 (/ (* a (erf (/ r t))) (PI)))
(+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI))))
(+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* 1/4 (/ (* a (erf (/ r t))) r))
(/ (+ (* -1/2 (* (* a r) (sqrt (/ 1 (PI))))) (* 1/4 (* a (erf (/ r t))))) r)
(/ (+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI)))))))) r)
(/ (+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (PI)))))))))) r)
(* 1/4 (* a (erf (/ r t))))
(+ (* -1/2 (* (* a r) (sqrt (/ 1 (PI))))) (* 1/4 (* a (erf (/ r t)))))
(+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI))))))))
(+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (PI))))))))))
(/ -1/4 (pow r 2))
(* -4 (pow r 2))
(pow r 2)
(* -1 (/ (pow r 2) (pow t 2)))
(* (pow r 2) (PI))
(/ (* a (erf (/ r t))) r)
(/ (pow r 2) (pow t 2))
1
(+ 1 (/ (pow r 2) (pow t 2)))
(+ 1 (* (pow r 2) (+ (* 1/2 (/ (pow r 2) (pow t 4))) (/ 1 (pow t 2)))))
(+ 1 (* (pow r 2) (+ (* (pow r 2) (+ (* 1/6 (/ (pow r 2) (pow t 6))) (* 1/2 (/ 1 (pow t 4))))) (/ 1 (pow t 2)))))
(* -1 (/ (* a (erf (/ r t))) (PI)))
(+ (* -1 (/ (* a (erf (/ r t))) (PI))) (* 2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* -1 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 2 (* a (sqrt (/ 1 (pow (PI) 3))))))))
(+ (* -1 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* 2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* (pow r 2) (+ (* -2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3)))))))))
(* -2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI)))))
(* r (- (/ (erf (/ r t)) r) (* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))))
(* 2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2))))))
(* -1/2 (* (/ (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) r) (sqrt (/ 1 (pow (PI) 3)))))
(/ (+ (* -1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (* r (PI))))) r)
(* 1/2 (/ (* a (pow r 2)) (pow t 2)))
(* (pow r 2) (+ (* -1/2 (/ a (pow r 2))) (* 1/2 (/ a (pow t 2)))))
(* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))
(* r (+ (* -1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(* r (+ (* -1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (erf (/ r t))) (* (pow r 3) (PI)))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))
(* (pow r 3) (+ (* -1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(* (pow r 3) (+ (* -1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (erf (/ r t))) (* (pow r 3) (PI)))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* -1/2 (* (/ a (* r (exp (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))
(/ (+ (* -1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (* r (PI))))) r)
(* -1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI)))))
(+ (* -1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))) (* 1/4 (/ (* a (erf (/ r t))) r)))
(* -1/2 (* (/ (* a r) (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI)))))
(* r (+ (* -1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))) (* 1/4 (/ (* a (erf (/ r t))) r))))
(exp (/ (pow r 2) (pow t 2)))
(* 2 (* (/ (* a r) (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3)))))
(* r (+ (* -1 (/ (* a (erf (/ r t))) (* r (PI)))) (* 2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3)))))))
(* -1 (* r (- (* -1 (/ (erf (/ r t)) r)) (* -2 (* (sqrt (/ 1 (PI))) (exp (* -1 (/ (pow r 2) (pow t 2)))))))))
(* -1 (/ (+ (* -1/4 (/ (* a (erf (/ r t))) (* r (PI)))) (* 1/2 (* (* a (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))) r))
(* -1 (* r (+ (* -1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* -1 (* r (+ (* -1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -1/4 (/ (* a (erf (/ r t))) (* (pow r 3) (PI)))) (* 1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3)))))))))
(* -1 (* (pow r 3) (+ (* -1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(* -1 (* (pow r 3) (+ (* -1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -1/4 (/ (* a (erf (/ r t))) (* (pow r 3) (PI)))) (* 1/2 (* (/ a (pow r 2)) (sqrt (/ 1 (pow (PI) 3)))))))))
(* -1 (/ (+ (* -1/4 (/ (* a (erf (/ r t))) (* r (PI)))) (* 1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3)))))) r))
(* -1 (* r (+ (* -1/4 (/ (* a (erf (/ r t))) r)) (* 1/2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))))
(* -1 (* r (+ (* -2 (* (/ a (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (pow (PI) 3))))) (/ (* a (erf (/ r t))) (* r (PI))))))
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(* a (- (* 1/2 (/ (pow r 2) (pow t 2))) 1/2))
(/ (* a (+ (* 1/4 (/ (erf (/ r t)) (PI))) (* (* r (- (* 1/2 (/ (pow r 2) (pow t 2))) 1/2)) (sqrt (/ 1 (pow (PI) 3)))))) (pow r 2))
(* a (+ (* 1/4 (/ (erf (/ r t)) (PI))) (* (* r (- (* 1/2 (/ (pow r 2) (pow t 2))) 1/2)) (sqrt (/ 1 (pow (PI) 3))))))
(* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* (/ r (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* (/ r (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))) r))
(* 1/4 (* a (+ (erf (/ r t)) (* -2 (* (/ r (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))))
(* 1/4 a)
(* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* (/ r (exp (/ (pow r 2) (pow t 2)))) (sqrt (/ 1 (PI))))))) (PI)))
(* -1 (* a (+ 1/2 (* -1/2 (/ (pow r 2) (pow t 2))))))
(* -1 (/ (* a (+ (* -1/4 (/ (erf (/ r t)) (PI))) (* (* r (+ 1/2 (* -1/2 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))) (pow r 2)))
(* -1 (* a (+ (* -1/4 (/ (erf (/ r t)) (PI))) (* (* r (+ 1/2 (* -1/2 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (pow (PI) 3)))))))
(- (erf (/ r t)) (* 2 (* (* r (exp (* -1 (/ (pow r 2) (pow t 2))))) (sqrt (/ 1 (PI))))))
(/ (+ (* -1/2 (* a (pow t 2))) (* 1/2 (* a (pow r 2)))) (pow t 2))
(/ (+ (* 1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* (pow t 2) (+ (* -1/2 (* (/ a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (* (pow r 2) (PI))))))) (pow t 2))
(/ (+ (* 1/2 (* (* a (pow r 3)) (sqrt (/ 1 (pow (PI) 3))))) (* (pow t 2) (+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI)))))) (pow t 2))
(- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))
(- (+ (erf (/ r t)) (* 2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI)))))) (* 2 (* r (sqrt (/ 1 (PI))))))
(- (+ (erf (/ r t)) (* -1 (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (* 2 (* r (sqrt (/ 1 (PI)))))))
(- (+ (erf (/ r t)) (* 1/3 (* (/ (pow r 7) (pow t 6)) (sqrt (/ 1 (PI)))))) (+ (* -2 (* (/ (pow r 3) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (* r (sqrt (/ 1 (PI))))) (* (/ (pow r 5) (pow t 4)) (sqrt (/ 1 (PI)))))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI))))))
(+ (* -2 (* (/ (pow r 2) (pow t 2)) (sqrt (/ 1 (PI))))) (+ (* -1/3 (* (/ (pow r 6) (pow t 6)) (sqrt (/ 1 (PI))))) (+ (* 2 (sqrt (/ 1 (PI)))) (* (/ (pow r 4) (pow t 4)) (sqrt (/ 1 (PI)))))))
(* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (* -1/4 (* (/ (* a (pow r 3)) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/12 (* (/ (* a (pow r 5)) (pow t 6)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (- (erf (/ r t)) (* 2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))))
(+ (* -1/2 (* (/ a r) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (erf (/ r t))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))
(* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (+ (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (* (pow r 2) (pow t 4))) (sqrt (/ 1 (pow (PI) 3)))))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (* (pow r 2) (PI)))) (+ (* 1/2 (* (/ (* a r) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (* (pow r 2) (+ (* -1 (pow r 5)) (* 1/2 (pow r 5))))) (+ (* -1/2 (pow r 7)) (* 1/6 (pow r 7))))) (* (pow r 2) (pow t 6))) (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (* (pow r 2) (pow t 4))) (sqrt (/ 1 (pow (PI) 3))))))))
(* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) r))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) r)) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI))))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) r)) (+ (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (* r (pow t 4))) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI)))))))
(+ (* 1/4 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) r)) (+ (* 1/2 (* (/ (* a (+ (* -1 (* (pow r 2) (+ (* -1 (pow r 5)) (* 1/2 (pow r 5))))) (+ (* -1/2 (pow r 7)) (* 1/6 (pow r 7))))) (* r (pow t 6))) (sqrt (/ 1 (PI))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (* r (pow t 4))) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI))))))))
(* 1/4 (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))))
(+ (* 1/4 (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI)))))))) (* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (PI))))))
(+ (* 1/4 (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI)))))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (pow t 4)) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (PI)))))))
(+ (* 1/4 (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI)))))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (* (pow r 2) (+ (* -1 (pow r 5)) (* 1/2 (pow r 5))))) (+ (* -1/2 (pow r 7)) (* 1/6 (pow r 7))))) (pow t 6)) (sqrt (/ 1 (PI))))) (+ (* 1/2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (pow t 4)) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (PI))))))))
(+ 1 (+ (* 1/2 (/ (pow r 4) (pow t 4))) (/ (pow r 2) (pow t 2))))
(+ 1 (+ (* 1/6 (/ (pow r 6) (pow t 6))) (+ (* 1/2 (/ (pow r 4) (pow t 4))) (/ (pow r 2) (pow t 2)))))
(* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (PI)))
(+ (* -2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (PI))))
(+ (* -2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (PI)))))
(+ (* -2 (* (/ (* a (+ (* -1 (* (pow r 2) (+ (* -1 (pow r 5)) (* 1/2 (pow r 5))))) (+ (* -1/2 (pow r 7)) (* 1/6 (pow r 7))))) (pow t 6)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -2 (* (/ (* a (+ (* -1 (pow r 5)) (* 1/2 (pow r 5)))) (pow t 4)) (sqrt (/ 1 (pow (PI) 3))))) (+ (* -2 (* (/ (* a (pow r 3)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3))))) (* -1 (/ (* a (+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))) (PI))))))
Outputs
(erf (/ r t))
(erf.f64 (/.f64 r t))
(+ (erf (/ r t)) (* -2 (* r (sqrt (/ 1 (PI))))))
(fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t)))
(+ (erf (/ r t)) (* r (- (* (pow r 2) (- (* -1 (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI))))) (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))))) (* 2 (sqrt (/ 1 (PI)))))))
(fma.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 r (/.f64 r (pow.f64 t #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 t t))))) (*.f64 r r) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t)))
(* 2 (sqrt (/ 1 (PI))))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal 2 binary64)))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow r 2) (+ (* -2 (* (/ 1 (pow t 2)) (sqrt (/ 1 (PI))))) (* (/ (pow r 2) (pow t 4)) (sqrt (/ 1 (PI)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal 2 binary64)) (*.f64 (*.f64 r (/.f64 r (pow.f64 t #s(literal 4 binary64)))) (*.f64 r r))))
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(/ (+ (* 1/4 (/ (* a (erf (/ r t))) (PI))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (pow (PI) 3))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (pow (PI) 3)))))))) (pow r 2))
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(* 1/4 (/ a (* (pow r 2) (PI))))
(*.f64 (/.f64 a (*.f64 (*.f64 r r) (PI.f64))) #s(literal 1/4 binary64))
(/ 1/4 (* r (PI)))
(/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r))
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(+ (* -1/2 a) (* 1/2 (/ (* a (pow r 2)) (pow t 2))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) r) t) (/.f64 r t) #s(literal -1/2 binary64)) a)
(* 1/4 (/ (* a (erf (/ r t))) (PI)))
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(+ (* -1/2 (* (* a r) (sqrt (/ 1 (pow (PI) 3))))) (* 1/4 (/ (* a (erf (/ r t))) (PI))))
(*.f64 a (fma.f64 (/.f64 (erf.f64 (/.f64 r t)) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) r) #s(literal -1/2 binary64))))
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(* 1/4 (/ (* a (erf (/ r t))) r))
(*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a r)) #s(literal 1/4 binary64))
(/ (+ (* -1/2 (* (* a r) (sqrt (/ 1 (PI))))) (* 1/4 (* a (erf (/ r t))))) r)
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(/ (+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* 1/2 (* (/ (* a (pow r 2)) (pow t 2)) (sqrt (/ 1 (PI)))))))) r)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) r) t) (/.f64 r t) #s(literal -1/2 binary64)) a)) r (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r)
(/ (+ (* 1/4 (* a (erf (/ r t)))) (* r (+ (* -1/2 (* a (sqrt (/ 1 (PI))))) (* (pow r 2) (+ (* -1/4 (* (/ (* a (pow r 2)) (pow t 4)) (sqrt (/ 1 (PI))))) (* 1/2 (* (/ a (pow t 2)) (sqrt (/ 1 (PI)))))))))) r)
(/.f64 (fma.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) r) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t)))) (*.f64 (pow.f64 r #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 a t) (*.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 r (/.f64 r (pow.f64 t #s(literal 4 binary64))))))))) r)
(* 1/4 (* a (erf (/ r t))))
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(fma.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) r) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t)))) (*.f64 (pow.f64 r #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 a t) (*.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 r (/.f64 r (pow.f64 t #s(literal 4 binary64)))))))))
(/ -1/4 (pow r 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 r r))
(* -4 (pow r 2))
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(* -1 (/ (pow r 2) (pow t 2)))
(*.f64 (/.f64 (neg.f64 r) t) (/.f64 r t))
(* (pow r 2) (PI))
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(/ (* a (erf (/ r t))) r)
(*.f64 (erf.f64 (/.f64 r t)) (/.f64 a r))
(/ (pow r 2) (pow t 2))
(*.f64 (/.f64 r t) (/.f64 r t))
1
#s(literal 1 binary64)
(+ 1 (/ (pow r 2) (pow t 2)))
(fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64))
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (-.f64 (*.f64 (pow.f64 r #s(literal 7 binary64)) #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 r #s(literal 5 binary64)) #s(literal -1/2 binary64)) r) r)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (pow.f64 r #s(literal 5 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) t) t)))) (/.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))) (PI.f64)))

rewrite202.0ms (2.5%)

Memory
-7.0MiB live, 71.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085474
0142472
1472441
23474441
08154441
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 966
Calls
Call 1
Inputs
(-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r)
(/.f64 #s(literal 1/4 binary64) (PI.f64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r))
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
(/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) r)
(*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))
(*.f64 a #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
(*.f64 (*.f64 r r) #s(literal -4 binary64))
(*.f64 r r)
(sqrt.f64 (PI.f64))
(/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64)))
(*.f64 (*.f64 r r) (PI.f64))
(*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (/.f64 t r) #s(literal -2 binary64))
(exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))
(/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64)))
Outputs
(*.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (erf.f64 (/.f64 r t)) (-.f64 (erf.f64 (/.f64 r t)) (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (erf.f64 (/.f64 r t)) (-.f64 (erf.f64 (/.f64 r t)) (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t)))) (*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64)))) (neg.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (erf.f64 (/.f64 r t)) (-.f64 (erf.f64 (/.f64 r t)) (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) r) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) #s(literal 2 binary64)) (PI.f64))) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))))
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eval390.0ms (4.8%)

Memory
-215.1MiB live, 118.3MiB allocated
Compiler

Compiled 54 878 to 4 592 computations (91.6% saved)

prune71.0ms (0.9%)

Memory
2.2MiB live, 81.9MiB allocated
Pruning

47 alts after pruning (47 fresh and 0 done)

PrunedKeptTotal
New1 063441 107
Fresh18321
Picked505
Done000
Total1 086471 133
Accuracy
100.0%
Counts
1 133 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (/.f64 (*.f64 r r) (*.f64 t t)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
70.6%
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r #s(approx (exp (pow (/ t r) -2)) (fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
34.4%
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) r) t) (/.f64 r t) #s(literal -1/2 binary64)) a)) r (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))))) r) (*.f64 (PI.f64) r))
28.2%
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 #s(literal 1/4 binary64) a))) r) (*.f64 (PI.f64) r))
74.2%
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
99.3%
(/.f64 (*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)) (*.f64 (PI.f64) r))
99.2%
(/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 4 binary64)) r) r))
34.5%
(/.f64 #s(approx (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (fma.f64 (*.f64 (*.f64 r r) (*.f64 (/.f64 a (*.f64 t t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) r))
28.3%
(/.f64 #s(approx (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) r))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 r r)) a) (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))))))
99.2%
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (*.f64 (neg.f64 r) r) (*.f64 t t)))) r)))
34.5%
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 #s(approx (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal 2 binary64)))) r)))
34.6%
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t)))))
28.3%
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
99.1%
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (/.f64 (neg.f64 r) t) (/.f64 r t)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (erf.f64 (/.f64 r t)) r)) r)))
74.2%
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
99.2%
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) r) (/.f64 (/.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) r) (PI.f64)))
99.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (/.f64 (*.f64 r r) (*.f64 t t)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
70.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r #s(approx (exp (pow (/ t r) -2)) (fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
28.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))) (PI.f64))))
74.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (erf.f64 (/.f64 r t))) (PI.f64))))
99.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r)) a (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))))
99.2%
(*.f64 (*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r r) (PI.f64)))) a)
74.1%
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
28.3%
#s(approx (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 (PI.f64) r)) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)))
99.2%
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 (PI.f64) r)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 (exp.f64 (*.f64 (/.f64 (neg.f64 r) t) (/.f64 r t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (erf.f64 (/.f64 r t))) r)))
74.2%
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) r) (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r))))
34.5%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) r)) (*.f64 r r)))
34.4%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (erf.f64 (/.f64 r t)) (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) a) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -3/2 binary64)) r) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) a) r) (/.f64 r t) (*.f64 #s(literal -1/2 binary64) a)))) (*.f64 r r)))
74.1%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 r r)))
74.1%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) (PI.f64))) r))
74.2%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
74.2%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
34.4%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) r) t) (/.f64 r t) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (PI.f64)) #s(literal 1/4 binary64))) a)) (*.f64 r r)))
74.2%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a (PI.f64))) #s(literal 1/4 binary64))) (*.f64 r r)))
74.0%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (pow.f64 (/.f64 r (*.f64 a (erf.f64 (/.f64 r t)))) #s(literal -1 binary64))))
74.0%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (/.f64 (erf.f64 (/.f64 r t)) (/.f64 r a))))
28.3%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r))))
74.1%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (*.f64 a (erf.f64 (/.f64 r t))) (pow.f64 r #s(literal -1 binary64)))))
74.1%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 a (/.f64 (erf.f64 (/.f64 r t)) r))))
74.1%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) r) (PI.f64)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
73.9%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
74.2%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
74.1%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) r)))
74.1%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 a (*.f64 (PI.f64) r))) (erf.f64 (/.f64 r t))))
34.5%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) #s(approx (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) r) t) (/.f64 r t) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 a (*.f64 r r)))))
11.0%
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) #s(approx (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (*.f64 (*.f64 (*.f64 r (/.f64 a (*.f64 t t))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))
Compiler

Compiled 5 623 to 2 094 computations (62.8% saved)

regimes58.0ms (0.7%)

Memory
34.1MiB live, 34.1MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 a (*.f64 (PI.f64) r))) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a (PI.f64))) #s(literal 1/4 binary64))) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 r r)))
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(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (*.f64 (neg.f64 r) r) (*.f64 t t)))) r)))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(/.f64 (*.f64 (*.f64 (pow.f64 r #s(literal -2 binary64)) a) (/.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))))
(*.f64 (/.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) r)) (*.f64 (sqrt.f64 (PI.f64)) r)) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r)) a (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (pow.f64 (exp.f64 r) (/.f64 (/.f64 r t) t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))))
(*.f64 (/.f64 (/.f64 (*.f64 a (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r)) (sqrt.f64 r)) (sqrt.f64 r)) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 4 binary64)) r) r)) #s(literal -1 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r (erf.f64 (/.f64 r t))) (*.f64 r r)) (*.f64 (*.f64 a (/.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (pow.f64 (erf.f64 (/.f64 r t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) r) #s(literal 2 binary64))))))
Outputs
(/.f64 (*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)) (*.f64 (PI.f64) r))
Calls

4 calls:

14.0ms
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
13.0ms
a
13.0ms
t
13.0ms
r
Results
AccuracySegmentsBranch
99.3%1r
99.3%1a
99.3%1t
99.3%1(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
Compiler

Compiled 36 to 33 computations (8.3% saved)

regimes46.0ms (0.6%)

Memory
-51.4MiB live, 27.1MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 a (*.f64 (PI.f64) r))) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a (PI.f64))) #s(literal 1/4 binary64))) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 r r)))
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) r) (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r))))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) #s(approx (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (*.f64 (*.f64 (*.f64 r (/.f64 a (*.f64 t t))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) r) (PI.f64)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 a (/.f64 (erf.f64 (/.f64 r t)) r))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) (PI.f64))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (erf.f64 (/.f64 r t))) (PI.f64))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (/.f64 (erf.f64 (/.f64 r t)) (/.f64 r a))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
#s(approx (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 (PI.f64) r)) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)))
(/.f64 #s(approx (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) r))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 #s(literal 1/4 binary64) a))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t)))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 #s(approx (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal 2 binary64)))) r)))
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r #s(approx (exp (pow (/ t r) -2)) (fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) r) t) (/.f64 r t) #s(literal -1/2 binary64)) a)) r (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))))) r) (*.f64 (PI.f64) r))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r #s(approx (exp (pow (/ t r) -2)) (fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) r)) (*.f64 r r)))
(/.f64 #s(approx (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (fma.f64 (*.f64 (*.f64 r r) (*.f64 (/.f64 a (*.f64 t t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (*.f64 a (erf.f64 (/.f64 r t))) (pow.f64 r #s(literal -1 binary64)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (pow.f64 (/.f64 r (*.f64 a (erf.f64 (/.f64 r t)))) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) r) #s(literal -1/2 binary64) (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 r r)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (*.f64 (neg.f64 r) r) (*.f64 t t)))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (erf.f64 (/.f64 r t)) (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) a) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -3/2 binary64)) r) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) a) r) (/.f64 r t) (*.f64 #s(literal -1/2 binary64) a)))) (*.f64 r r)))
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (/.f64 (*.f64 r r) (*.f64 t t)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) #s(approx (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) r) t) (/.f64 r t) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 a (*.f64 r r)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) r) t) (/.f64 r t) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (PI.f64)) #s(literal 1/4 binary64))) a)) (*.f64 r r)))
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 (PI.f64) r)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 (exp.f64 (*.f64 (/.f64 (neg.f64 r) t) (/.f64 r t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (erf.f64 (/.f64 r t))) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (/.f64 (*.f64 r r) (*.f64 t t)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 #s(approx (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 t t)) (*.f64 r r) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) r)))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (/.f64 (neg.f64 r) t) (/.f64 r t)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (erf.f64 (/.f64 r t)) r)) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) r)) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) (*.f64 (*.f64 (*.f64 (/.f64 a (*.f64 t t)) r) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
(*.f64 (*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 r r) (PI.f64)))) a)
(/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 4 binary64)) r) r))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 r r) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 r r) (PI.f64))) (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (erf.f64 (/.f64 r t)))) (*.f64 (PI.f64) r)))
Outputs
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (*.f64 (neg.f64 r) r) (*.f64 t t)))) r)))
Calls

4 calls:

13.0ms
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
11.0ms
t
10.0ms
a
10.0ms
r
Results
AccuracySegmentsBranch
99.2%1t
99.2%1(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
99.2%1r
99.2%1a
Compiler

Compiled 36 to 33 computations (8.3% saved)

regimes31.0ms (0.4%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 a (*.f64 (PI.f64) r))) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a (PI.f64))) #s(literal 1/4 binary64))) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 r r)))
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) r) (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r))))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) #s(approx (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (*.f64 (*.f64 (*.f64 r (/.f64 a (*.f64 t t))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) r) (PI.f64)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 a (/.f64 (erf.f64 (/.f64 r t)) r))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) (PI.f64))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (erf.f64 (/.f64 r t))) (PI.f64))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (/.f64 (erf.f64 (/.f64 r t)) (/.f64 r a))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
#s(approx (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 (PI.f64) r)) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)))
(/.f64 #s(approx (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) r))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 #s(literal 1/4 binary64) a))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t)))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 #s(approx (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal 2 binary64)))) r)))
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r #s(approx (exp (pow (/ t r) -2)) (fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) r) t) (/.f64 r t) #s(literal -1/2 binary64)) a)) r (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))))) r) (*.f64 (PI.f64) r))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) (/.f64 (*.f64 a (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r #s(approx (exp (pow (/ t r) -2)) (fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64)))) (erf.f64 (/.f64 r t)))) (neg.f64 (PI.f64))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (erf.f64 (/.f64 r t))) (/.f64 a (PI.f64)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 a (*.f64 r (/.f64 r t))) (*.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) r)) (*.f64 r r)))
(/.f64 #s(approx (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (fma.f64 (*.f64 (*.f64 r r) (*.f64 (/.f64 a (*.f64 t t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (*.f64 a (erf.f64 (/.f64 r t))) (pow.f64 r #s(literal -1 binary64)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (pow.f64 (/.f64 r (*.f64 a (erf.f64 (/.f64 r t)))) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) r) #s(literal -1/2 binary64) (*.f64 (/.f64 (erf.f64 (/.f64 r t)) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 r r)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r #s(approx (exp (pow (/ t r) -2)) (fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
Calls

4 calls:

7.0ms
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
7.0ms
t
7.0ms
r
7.0ms
a
Results
AccuracySegmentsBranch
88.5%2r
75.9%2a
74.2%1t
74.2%1(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
Compiler

Compiled 36 to 33 computations (8.3% saved)

regimes7.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 a (*.f64 (PI.f64) r))) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a (PI.f64))) #s(literal 1/4 binary64))) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 r r)))
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) r) (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r))))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) #s(approx (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (*.f64 (*.f64 (*.f64 r (/.f64 a (*.f64 t t))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) r) (PI.f64)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 a (/.f64 (erf.f64 (/.f64 r t)) r))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) (PI.f64))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (erf.f64 (/.f64 r t))) (PI.f64))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (/.f64 (erf.f64 (/.f64 r t)) (/.f64 r a))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
#s(approx (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 (PI.f64) r)) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)))
(/.f64 #s(approx (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) r))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 #s(literal 1/4 binary64) a))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t)))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 #s(approx (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal 2 binary64)))) r)))
Outputs
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t)))))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
Calls

1 calls:

5.0ms
r
Results
AccuracySegmentsBranch
87.5%2r
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 a (*.f64 (PI.f64) r))) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a (PI.f64))) #s(literal 1/4 binary64))) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 r r)))
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) r) (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r))))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) #s(approx (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (*.f64 (*.f64 (*.f64 r (/.f64 a (*.f64 t t))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) r) (PI.f64)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 a (/.f64 (erf.f64 (/.f64 r t)) r))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) (PI.f64))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (erf.f64 (/.f64 r t))) (PI.f64))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (/.f64 (erf.f64 (/.f64 r t)) (/.f64 r a))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
#s(approx (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 (PI.f64) r)) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)))
(/.f64 #s(approx (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r)) #s(literal 1/4 binary64))) (*.f64 (PI.f64) r))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 #s(literal 1/4 binary64) a))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 a r))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))) (PI.f64))))
Outputs
#s(approx (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 (PI.f64) r)) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
Calls

1 calls:

5.0ms
r
Results
AccuracySegmentsBranch
84.0%2r
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 a (*.f64 (PI.f64) r))) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a (PI.f64))) #s(literal 1/4 binary64))) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 r r)))
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) r) (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r))))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) #s(approx (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (*.f64 (*.f64 (*.f64 r (/.f64 a (*.f64 t t))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) r) (PI.f64)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 a (/.f64 (erf.f64 (/.f64 r t)) r))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) (PI.f64))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (erf.f64 (/.f64 r t))) (PI.f64))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (/.f64 (erf.f64 (/.f64 r t)) (/.f64 r a))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
Outputs
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t)))))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
Calls

1 calls:

4.0ms
r
Results
AccuracySegmentsBranch
84.0%2r
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 a (*.f64 (PI.f64) r))) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a (PI.f64))) #s(literal 1/4 binary64))) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 r r)))
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) r) (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r))))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) #s(approx (/ (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (* r r)) (*.f64 (*.f64 (*.f64 r (/.f64 a (*.f64 t t))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) r) (PI.f64)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 a (/.f64 (erf.f64 (/.f64 r t)) r))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t))) (/.f64 #s(literal 1/4 binary64) (PI.f64))) r))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal -4 binary64))) #s(approx (/ (* a (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (neg (PI))) (/.f64 (*.f64 (neg.f64 a) (erf.f64 (/.f64 r t))) (PI.f64))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) r) (/.f64 (erf.f64 (/.f64 r t)) (/.f64 r a))))
Outputs
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
Calls

3 calls:

4.0ms
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
4.0ms
a
4.0ms
r
Results
AccuracySegmentsBranch
74.2%1(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
74.2%1a
74.2%1r
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes11.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) r) (/.f64 a (*.f64 (PI.f64) r))) (erf.f64 (/.f64 r t))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) r)) (*.f64 (/.f64 a r) (erf.f64 (/.f64 r t)))))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 #s(approx (+ (* (* 1/4 (erf (/ r t))) (/ a (PI))) (* (* (+ (* (/ 1/2 t) (* a (* r (/ r t)))) (* -1/2 a)) (sqrt (/ 1 (pow (PI) 3)))) r)) (*.f64 (*.f64 (erf.f64 (/.f64 r t)) (/.f64 a (PI.f64))) #s(literal 1/4 binary64))) (*.f64 r r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 r r)))
#s(approx (* (/ (* a 1/4) (* (* r r) (PI))) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) a) r) (/.f64 (erf.f64 (/.f64 r t)) (*.f64 (PI.f64) r))))
Outputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
Calls

4 calls:

3.0ms
r
3.0ms
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
2.0ms
t
2.0ms
a
Results
AccuracySegmentsBranch
74.2%1r
74.2%1t
74.2%1a
74.2%1(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
Compiler

Compiled 36 to 33 computations (8.3% saved)

regimes6.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (erf.f64 (/.f64 r t))))
Outputs
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
Calls

4 calls:

2.0ms
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
1.0ms
t
1.0ms
a
1.0ms
r
Results
AccuracySegmentsBranch
74.2%1r
74.2%1t
74.2%1a
74.2%1(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 4 binary64)) (PI.f64)) (pow.f64 r #s(literal 2 binary64))) a) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (neg.f64 (pow.f64 r #s(literal 2 binary64))) (pow.f64 t #s(literal 2 binary64))))) r)))
Compiler

Compiled 36 to 33 computations (8.3% saved)

bsearch9.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
0.0027329998355538794
0.003099901170820458
Samples
6.0ms32×0valid
Compiler

Compiled 182 to 138 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (21.7% of total)
ival-mult: 1.0ms (21.7% of total)
ival-pow2: 1.0ms (21.7% of total)
ival-pi: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-erf: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
-85.1MiB live, 1.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
0.0027329998355538794
0.003099901170820458
Samples
3.0ms16×0valid
Compiler

Compiled 216 to 164 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (42.9% of total)
ival-pi: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-erf: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-pow2: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.989351595619906e-5
3.879652263263965e-5
Samples
8.0ms48×0valid
Compiler

Compiled 300 to 231 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30.5% of total)
ival-exp: 1.0ms (15.3% of total)
ival-erf: 1.0ms (15.3% of total)
ival-mult: 1.0ms (15.3% of total)
ival-pow2: 1.0ms (15.3% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.989351595619906e-5
3.879652263263965e-5
Compiler

Compiled 279 to 219 computations (21.5% saved)

simplify70.0ms (0.9%)

Memory
14.7MiB live, 14.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0113535
1175535
2393535
31182531
44338531
57956531
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)) (*.f64 (PI.f64) r))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (*.f64 (neg.f64 r) r) (*.f64 t t)))) r)))
(if (<=.f64 r #s(literal 3458764513820541/1152921504606846976 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r #s(approx (exp (pow (/ t r) -2)) (fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(if (<=.f64 r #s(literal 6456360425798343/2305843009213693952 binary64)) (*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t))))) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(if (<=.f64 r #s(literal 700976274800963/18446744073709551616 binary64)) #s(approx (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 (PI.f64) r)) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r))) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(if (<=.f64 r #s(literal 700976274800963/18446744073709551616 binary64)) (*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))))) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))
Outputs
(/.f64 (*.f64 (fma.f64 (/.f64 r (exp.f64 (pow.f64 (/.f64 t r) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (erf.f64 (/.f64 r t))) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r)) (*.f64 (PI.f64) r))
(*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) (-.f64 (erf.f64 (/.f64 r t)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (*.f64 (neg.f64 r) r) (*.f64 t t)))) r)))
(if (<=.f64 r #s(literal 3458764513820541/1152921504606846976 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 (PI.f64))) (/.f64 r #s(approx (exp (pow (/ t r) -2)) (fma.f64 (/.f64 r t) (/.f64 r t) #s(literal 1 binary64)))) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(if (<=.f64 r #s(literal 6456360425798343/2305843009213693952 binary64)) (*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t))))) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(if (<=.f64 r #s(literal 6456360425798343/2305843009213693952 binary64)) (*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 r r) t) #s(literal -2 binary64))) r (erf.f64 (/.f64 r t))))) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(if (<=.f64 r #s(literal 700976274800963/18446744073709551616 binary64)) #s(approx (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))) (*.f64 (PI.f64) r)) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r))) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(if (<=.f64 r #s(literal 700976274800963/18446744073709551616 binary64)) #s(approx (/ (/ (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) r) (* (PI) r)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))) (erf.f64 (/.f64 r t))) (*.f64 (PI.f64) r)) (/.f64 (*.f64 #s(literal 1/4 binary64) a) r))) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(if (<=.f64 r #s(literal 700976274800963/18446744073709551616 binary64)) (*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (erf.f64 (/.f64 r t))))) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(if (<=.f64 r #s(literal 700976274800963/18446744073709551616 binary64)) (*.f64 (/.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 r r) (PI.f64))) #s(approx (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r)) (fma.f64 (*.f64 #s(literal -2 binary64) r) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))) (erf.f64 (/.f64 r t))))) (/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r)))
(/.f64 (/.f64 #s(approx (* (* a 1/4) (+ (* (/ -2 (sqrt (PI))) (/ r (exp (pow (/ t r) -2)))) (erf (/ r t)))) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t)))) r) (*.f64 (PI.f64) r))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (erf.f64 (/.f64 r t)))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 a (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r (*.f64 (PI.f64) #s(literal 4 binary64))) r)))
#s(approx (* (* (/ (/ (/ 1 4) (PI)) (pow r 2)) a) (- (erf (/ r t)) (* (* (/ 2 (sqrt (PI))) (exp (/ (neg (pow r 2)) (pow t 2)))) r))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (erf.f64 (/.f64 r t))) (*.f64 (*.f64 r r) (PI.f64))))

soundness831.0ms (10.2%)

Memory
33.2MiB live, 33.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085474
0142472
1472441
23474441
08154441
02493
04393
114693
286882
0817480
01921028
1555951
21885893
34770868
08105825
04503608
114803362
253273235
080643083
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 257 to 483 computations (61.6% saved)

preprocess161.0ms (2%)

Memory
-34.6MiB live, 42.2MiB allocated
Remove

(negabs r)

(negabs a)

Compiler

Compiled 1 360 to 444 computations (67.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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