sqrt(1-pow(b,2))/(1+b)

Time bar (total: 3.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 18 to 12 computations (33.3% saved)

sample985.0ms (26.3%)

Memory
88.6MiB live, 568.2MiB allocated
Samples
708.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 523.0ms
ival-pow2: 126.0ms (24.1% of total)
ival-div: 121.0ms (23.1% of total)
ival-sub: 82.0ms (15.7% of total)
ival-sqrt: 60.0ms (11.5% of total)
ival-add: 57.0ms (10.9% of total)
ival-<=: 50.0ms (9.6% of total)
ival-and: 13.0ms (2.5% of total)
exact: 12.0ms (2.3% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain152.0ms (4.1%)

Memory
-76.6MiB live, 55.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
00-0-(pow.f64 b #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))
00-0-(+.f64 #s(literal 1 binary64) b)
00-0-b
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 74 to 28 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow2: 6.0ms (31.2% of total)
ival-sqrt: 4.0ms (20.8% of total)
ival-sub: 3.0ms (15.6% of total)
ival-div: 3.0ms (15.6% of total)
ival-add: 3.0ms (15.6% of total)
exact: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess364.0ms (9.7%)

Memory
-25.6MiB live, 54.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
12621
25820
312620
418920
531420
661820
797120
8147420
9199920
10246120
11298720
12363820
13372620
14373020
15761620
0810
01310
11910
22710
33410
44710
56710
611110
728410
859010
9117510
10210110
11388010
12488610
13525710
14554610
15572110
16580210
17603510
18697110
0810110
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Outputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 b #s(literal -1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify262.0ms (7%)

Memory
49.7MiB live, 49.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 b #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01330
11930
22730
33430
44730
56730
611130
728430
859030
9117530
10210130
11388030
12488630
13525730
14554630
15572130
16580230
17603530
18697130
0810130
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) b)
Outputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 b #s(literal -1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 b b)))
(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 b b))
#s(literal 1 binary64)
(pow.f64 b #s(literal 2 binary64))
(*.f64 b b)
b
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) b)
(-.f64 b #s(literal -1 binary64))

localize71.0ms (1.9%)

Memory
-69.9MiB live, 9.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))
accuracy0.0
(+.f64 #s(literal 1 binary64) b)
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
accuracy0.03515625
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Samples
64.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-pow2: 3.0ms (31.3% of total)
ival-div: 2.0ms (20.9% of total)
ival-sqrt: 2.0ms (20.9% of total)
ival-sub: 1.0ms (10.4% of total)
ival-add: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated
Counts
5 → 30
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))
(pow.f64 b #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) b)
Outputs
1
(+ 1 (* -1 b))
(+ 1 (* b (- (* 1/2 b) 1)))
(+ 1 (* b (- (* b (+ 1/2 (* -1/2 b))) 1)))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* -1/8 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (pow b 2)) 1/8)) 1/2)))
(+ 1 (* -1 (pow b 2)))
(pow b 2)
(+ 1 b)
(sqrt -1)
(+ (sqrt -1) (* -1 (/ (sqrt -1) b)))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))
(- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* -1 (/ (sqrt -1) (pow b 3))) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))) (/ 1/2 (* (pow b 3) (sqrt -1))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1))))))
(* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3)))))
(* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3))))))
(* -1 (pow b 2))
(* (pow b 2) (- (/ 1 (pow b 2)) 1))
b
(* b (+ 1 (/ 1 b)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ (sqrt -1) b))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3))))))
(* -1 (* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
b
@inf
((/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (sqrt (- 1 (pow b 2))) (- 1 (pow b 2)) (pow b 2) (+ 1 b))
1.0ms
b
@-inf
((/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (sqrt (- 1 (pow b 2))) (- 1 (pow b 2)) (pow b 2) (+ 1 b))
1.0ms
b
@0
((/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (sqrt (- 1 (pow b 2))) (- 1 (pow b 2)) (pow b 2) (+ 1 b))

simplify152.0ms (4.1%)

Memory
42.9MiB live, 42.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112390
1301373
2824361
32793332
08455316
Stop Event
1×iter limit
1×node limit
Counts
30 → 29
Calls
Call 1
Inputs
1
(+ 1 (* -1 b))
(+ 1 (* b (- (* 1/2 b) 1)))
(+ 1 (* b (- (* b (+ 1/2 (* -1/2 b))) 1)))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* -1/8 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (pow b 2)) 1/8)) 1/2)))
(+ 1 (* -1 (pow b 2)))
(pow b 2)
(+ 1 b)
(sqrt -1)
(+ (sqrt -1) (* -1 (/ (sqrt -1) b)))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))
(- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* -1 (/ (sqrt -1) (pow b 3))) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))) (/ 1/2 (* (pow b 3) (sqrt -1))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1))))))
(* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3)))))
(* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3))))))
(* -1 (pow b 2))
(* (pow b 2) (- (/ 1 (pow b 2)) 1))
b
(* b (+ 1 (/ 1 b)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ (sqrt -1) b))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3))))))
(* -1 (* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3)))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 b))
(-.f64 #s(literal 1 binary64) b)
(+ 1 (* b (- (* 1/2 b) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (- (* b (+ 1/2 (* -1/2 b))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* -1/8 (pow b 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (pow b 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 b b) #s(literal -1/8 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (* -1 (pow b 2)))
(fma.f64 (neg.f64 b) b #s(literal 1 binary64))
(pow b 2)
(*.f64 b b)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* -1 (/ (sqrt -1) b)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) b) (sqrt.f64 #s(literal -1 binary64))) b))
(- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* -1 (/ (sqrt -1) (pow b 3))) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))) (/ 1/2 (* (pow b 3) (sqrt -1))))
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(* b (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) b (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) b (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ 1 (pow b 2)) 1))
(fma.f64 (neg.f64 b) b #s(literal 1 binary64))
b
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ (sqrt -1) b))
(-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) b) (sqrt.f64 #s(literal -1 binary64))) b) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) b) (sqrt.f64 #s(literal -1 binary64))) b) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* b (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) b)
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) b (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(* -1 (* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3))))))
(fma.f64 b (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(* -1 (* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3)))))))
(neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) b (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)))

rewrite192.0ms (5.1%)

Memory
-23.6MiB live, 53.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
15527
233827
3309727
0915024
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 562
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))
(pow.f64 b #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) b)
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
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(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) b) (neg.f64 (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b b #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b b #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (-.f64 (fma.f64 b b #s(literal 1 binary64)) b) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b #s(literal 1 binary64)) b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 (fma.f64 b b #s(literal 1 binary64)) b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 b b #s(literal 1 binary64)) b))
(/.f64 (-.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))
(/.f64 (+.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 b b #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) b))))
(/.f64 (fma.f64 b b #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b b #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 b #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) b))
(fma.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 b b #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 b #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (fma.f64 b b #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal 1 binary64)) (neg.f64 (fma.f64 b b #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal 1 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 b b #s(literal 1 binary64)) b) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 b b #s(literal 1 binary64)) b) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 b b #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 b #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 b #s(literal 1/4 binary64)) (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 b #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 b b #s(literal 1 binary64)) b) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 b #s(literal 1 binary64)) b #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (+.f64 b #s(literal 1 binary64)) b #s(literal 1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 b #s(literal 1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 (fma.f64 b b #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b b #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 b #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(fma.f64 #s(literal 1 binary64) b #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b #s(literal 1 binary64))) (pow.f64 (-.f64 b #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b b #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b b #s(literal 1 binary64)))))
(-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) b) (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) b)))
(-.f64 (/.f64 (pow.f64 (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 b (-.f64 (pow.f64 b #s(literal 3 binary64)) b) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) b)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) b))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 b) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 b #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 b)) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 #s(literal 1 binary64) b)))))
(+.f64 b #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)))
(+.f64 #s(literal 1 binary64) b)

eval67.0ms (1.8%)

Memory
54.0MiB live, 54.0MiB allocated
Compiler

Compiled 13 205 to 1 842 computations (86.1% saved)

prune56.0ms (1.5%)

Memory
-70.3MiB live, 23.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5818589
Fresh000
Picked101
Done000
Total5828590
Accuracy
100.0%
Counts
590 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) b))
100.0%
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
▶100.0%
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
▶99.4%
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
99.4%
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
▶99.3%
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
98.9%
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
▶97.6%
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
Compiler

Compiled 284 to 198 computations (30.3% saved)

simplify194.0ms (5.2%)

Memory
53.3MiB live, 53.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) b))
cost-diff1
(fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
cost-diff0
(pow.f64 (sqrt.f64 b) #s(literal 4 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64))))
cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041318
069318
1104318
2172318
3443318
41342318
52901318
67326318
08708314
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 b) #s(literal 4 binary64))
(sqrt.f64 b)
b
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) b)
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
#s(literal 1/2 binary64)
b
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
#s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 b b)
b
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) b)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) b))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 b b (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 3 binary64)
(sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) b)
Outputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 b #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 b) #s(literal 4 binary64))
(sqrt.f64 b)
b
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) b)
(+.f64 b #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
#s(literal 1/2 binary64)
b
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (+.f64 b #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (pow b 2))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
(*.f64 b b)
b
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) b)
(+.f64 b #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 6 binary64)) (neg.f64 (fma.f64 b b #s(literal -1 binary64))))) (+.f64 b #s(literal 1 binary64))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 6 binary64)) (neg.f64 (fma.f64 b b #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 b b (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 3 binary64)
(sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (+.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 6 binary64)) (neg.f64 (fma.f64 b b #s(literal -1 binary64)))))
(fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 6 binary64)) (neg.f64 (fma.f64 b b #s(literal -1 binary64))))
(-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) b)
(+.f64 b #s(literal 1 binary64))

localize129.0ms (3.4%)

Memory
-42.0MiB live, 37.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy0.0078125
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy0.03515625
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) b))
accuracy0.1504288086106521
(pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))
accuracy0.0
(*.f64 b b)
accuracy0.00390625
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy0.03515625
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
accuracy0.3643557379566187
#s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
accuracy0.4669533119334843
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
accuracy1.544171737032176
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
accuracy0.0
(sqrt.f64 b)
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64))))
accuracy0.03515625
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
accuracy0.43411655282170275
(pow.f64 (sqrt.f64 b) #s(literal 4 binary64))
Samples
104.0ms256×0valid
Compiler

Compiled 320 to 41 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 46.0ms (53.4% of total)
ival-pow: 10.0ms (11.6% of total)
ival-sqrt: 9.0ms (10.5% of total)
ival-add: 8.0ms (9.3% of total)
ival-div: 6.0ms (7% of total)
ival-sub: 5.0ms (5.8% of total)
ival-pow2: 2.0ms (2.3% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
19 → 83
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 b) #s(literal 4 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
#s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 b b)
(fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) b))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(sqrt.f64 b)
(pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
Outputs
1
(+ 1 (* -1 b))
(+ 1 (* b (- (* 1/2 b) 1)))
(+ 1 (* b (- (* b (+ 1/2 (* -1/2 b))) 1)))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* -1/8 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (pow b 2)) 1/8)) 1/2)))
(+ 1 (* -1 (pow b 2)))
(pow b 2)
-1
(- (* 1/2 b) 1)
(+ 1 (* (pow b 2) (- (* 2 (pow b 4)) 1)))
(+ 1 (* (pow b 2) (- (* (pow b 4) (+ 2 (pow b 2))) 1)))
(+ 1 (* -1 (pow b 6)))
(+ 1 (* (pow b 6) (- (* -3/2 (pow b 2)) 1)))
(+ 1 (* (pow b 6) (- (* (pow b 2) (- (* -3/2 (pow b 2)) 3/2)) 1)))
(sqrt b)
(pow b 6)
(* (pow b 6) (+ 1 (* 3 (pow b 2))))
(* (pow b 6) (+ 1 (* (pow b 2) (+ 3 (* 3 (pow b 2))))))
(* (pow b 6) (+ 1 (* (pow b 2) (+ 3 (* (pow b 2) (+ 3 (pow b 2)))))))
(+ 1 (* -2 (pow b 6)))
(+ 1 (* (pow b 6) (- (* -3 (pow b 2)) 2)))
(+ 1 (* (pow b 6) (- (* (pow b 2) (- (* -3 (pow b 2)) 3)) 2)))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ (sqrt -1) b)))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))
(- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* -1 (/ (sqrt -1) (pow b 3))) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))) (/ 1/2 (* (pow b 3) (sqrt -1))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1))))))
(* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3)))))
(* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3))))))
(* -1 (pow b 2))
(* (pow b 2) (- (/ 1 (pow b 2)) 1))
(* 1/2 (pow b 2))
(* (pow b 2) (- 1/2 (/ 1 b)))
(* (pow b 2) (- (+ 1/2 (/ 1 (pow b 2))) (/ 1 b)))
(* 1/2 b)
(* b (- 1/2 (/ 1 b)))
(* -1/2 (pow b 2))
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2))
(pow b 8)
(* (pow b 8) (+ 1 (* 2 (/ 1 (pow b 2)))))
(* (pow b 8) (- (+ 1 (* 2 (/ 1 (pow b 2)))) (/ 1 (pow b 6))))
(* (pow b 8) (- (+ 1 (+ (* 2 (/ 1 (pow b 2))) (/ 1 (pow b 8)))) (/ 1 (pow b 6))))
(/ (sqrt -1) (pow b 3))
(/ (+ (sqrt -1) (* 3/2 (/ 1 (* (pow b 2) (sqrt -1))))) (pow b 3))
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1))))) (pow b 3))
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/2 (/ (- 11 (* -3/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow b 6) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1)))))) (pow b 3))
(pow b 12)
(* (pow b 12) (+ 1 (* 3 (/ 1 (pow b 2)))))
(* (pow b 12) (+ 1 (+ (* 3 (/ 1 (pow b 2))) (/ 3 (pow b 4)))))
(* (pow b 12) (+ 1 (+ (* 3 (/ 1 (pow b 2))) (+ (/ 1 (pow b 6)) (/ 3 (pow b 4))))))
(/ -1 (pow b 6))
(/ (- (* 3 (/ 1 (pow b 2))) 1) (pow b 6))
(/ (- (* 3 (/ 1 (pow b 2))) (+ 1 (/ 6 (pow b 4)))) (pow b 6))
(/ (- (+ (* 3 (/ 1 (pow b 2))) (* 11 (/ 1 (pow b 6)))) (+ 1 (/ 6 (pow b 4)))) (pow b 6))
(* -1 (pow (sqrt -1) 3))
(+ (* -1 (pow (sqrt -1) 3)) (/ (pow (sqrt -1) 3) b))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow (sqrt -1) 3)) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) b)) (* -1 (pow (sqrt -1) 3))) b)) (* -1 (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sqrt -1) 3)) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) b)) (* -1 (pow (sqrt -1) 3))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) b)) (* -1 (pow (sqrt -1) 3))) b)) (* -1 (pow (sqrt -1) 3)))
(* -1 (* b (pow (sqrt -1) 3)))
(* -1 (* b (+ (* 1/2 (/ 1 (* (pow b 2) (pow (sqrt -1) 3)))) (pow (sqrt -1) 3))))
(* -1 (* b (- (+ (/ 1/2 (* (pow b 2) (pow (sqrt -1) 3))) (pow (sqrt -1) 3)) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 9))))))
(* -1 (* b (- (+ (/ 1/2 (* (pow b 2) (pow (sqrt -1) 3))) (+ (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 15)))) (pow (sqrt -1) 3))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 9)))))))
(* -1 (* (pow b 2) (pow (sqrt -1) 4)))
(* (pow b 2) (- (/ 1 (pow b 2)) (pow (sqrt -1) 4)))
(* (pow b 2) (pow (sqrt -1) 4))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ (sqrt -1) b))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 b)) b))))
(* -1 (* b (- (/ 1 b) 1/2)))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3))))))
(* -1 (* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3)))))))
(* -1 (/ (sqrt -1) (pow b 3)))
(* -1 (/ (+ (sqrt -1) (* 3/2 (/ 1 (* (pow b 2) (sqrt -1))))) (pow b 3)))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1))))) (pow b 3)))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/2 (/ (- 11 (* -3/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow b 6) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1)))))) (pow b 3)))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
b
@-inf
((/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (sqrt (- 1 (pow (sqrt b) 4))) (- 1 (pow (sqrt b) 4)) (pow (sqrt b) 4) (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (+ (* (+ (* 1/2 b) -1) b) 1) (+ (* 1/2 b) -1) (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (sqrt (- 1 (pow b 2))) (+ (* (* b b) -1/2) 1) (* b b) (+ (* (+ (* b b) (pow b 4)) (- (+ (* b b) (pow b 4)) 1)) 1) (/ (* (sqrt (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1))) (sqrt (+ (* (+ (* b b) (pow b 4)) (- (+ (* b b) (pow b 4)) 1)) 1))) (+ 1 b)) (* (sqrt (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1))) (sqrt (+ (* (+ (* b b) (pow b 4)) (- (+ (* b b) (pow b 4)) 1)) 1))) (sqrt (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1))) (sqrt b) (pow (+ (* b b) (pow b 4)) 3) (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1)))
3.0ms
b
@inf
((/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (sqrt (- 1 (pow (sqrt b) 4))) (- 1 (pow (sqrt b) 4)) (pow (sqrt b) 4) (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (+ (* (+ (* 1/2 b) -1) b) 1) (+ (* 1/2 b) -1) (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (sqrt (- 1 (pow b 2))) (+ (* (* b b) -1/2) 1) (* b b) (+ (* (+ (* b b) (pow b 4)) (- (+ (* b b) (pow b 4)) 1)) 1) (/ (* (sqrt (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1))) (sqrt (+ (* (+ (* b b) (pow b 4)) (- (+ (* b b) (pow b 4)) 1)) 1))) (+ 1 b)) (* (sqrt (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1))) (sqrt (+ (* (+ (* b b) (pow b 4)) (- (+ (* b b) (pow b 4)) 1)) 1))) (sqrt (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1))) (sqrt b) (pow (+ (* b b) (pow b 4)) 3) (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1)))
2.0ms
b
@0
((/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (sqrt (- 1 (pow (sqrt b) 4))) (- 1 (pow (sqrt b) 4)) (pow (sqrt b) 4) (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (+ (* (+ (* 1/2 b) -1) b) 1) (+ (* 1/2 b) -1) (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (sqrt (- 1 (pow b 2))) (+ (* (* b b) -1/2) 1) (* b b) (+ (* (+ (* b b) (pow b 4)) (- (+ (* b b) (pow b 4)) 1)) 1) (/ (* (sqrt (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1))) (sqrt (+ (* (+ (* b b) (pow b 4)) (- (+ (* b b) (pow b 4)) 1)) 1))) (+ 1 b)) (* (sqrt (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1))) (sqrt (+ (* (+ (* b b) (pow b 4)) (- (+ (* b b) (pow b 4)) 1)) 1))) (sqrt (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1))) (sqrt b) (pow (+ (* b b) (pow b 4)) 3) (/ (- 1 (pow b 6)) (+ (pow (+ (* b b) (pow b 4)) 3) 1)))

simplify155.0ms (4.1%)

Memory
42.6MiB live, 42.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02961208
18231088
224611054
373961045
080561006
Stop Event
1×iter limit
1×node limit
Counts
83 → 83
Calls
Call 1
Inputs
1
(+ 1 (* -1 b))
(+ 1 (* b (- (* 1/2 b) 1)))
(+ 1 (* b (- (* b (+ 1/2 (* -1/2 b))) 1)))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* -1/8 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (pow b 2)) 1/8)) 1/2)))
(+ 1 (* -1 (pow b 2)))
(pow b 2)
-1
(- (* 1/2 b) 1)
(+ 1 (* (pow b 2) (- (* 2 (pow b 4)) 1)))
(+ 1 (* (pow b 2) (- (* (pow b 4) (+ 2 (pow b 2))) 1)))
(+ 1 (* -1 (pow b 6)))
(+ 1 (* (pow b 6) (- (* -3/2 (pow b 2)) 1)))
(+ 1 (* (pow b 6) (- (* (pow b 2) (- (* -3/2 (pow b 2)) 3/2)) 1)))
(sqrt b)
(pow b 6)
(* (pow b 6) (+ 1 (* 3 (pow b 2))))
(* (pow b 6) (+ 1 (* (pow b 2) (+ 3 (* 3 (pow b 2))))))
(* (pow b 6) (+ 1 (* (pow b 2) (+ 3 (* (pow b 2) (+ 3 (pow b 2)))))))
(+ 1 (* -2 (pow b 6)))
(+ 1 (* (pow b 6) (- (* -3 (pow b 2)) 2)))
(+ 1 (* (pow b 6) (- (* (pow b 2) (- (* -3 (pow b 2)) 3)) 2)))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ (sqrt -1) b)))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))
(- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* -1 (/ (sqrt -1) (pow b 3))) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))) (/ 1/2 (* (pow b 3) (sqrt -1))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1))))))
(* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3)))))
(* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3))))))
(* -1 (pow b 2))
(* (pow b 2) (- (/ 1 (pow b 2)) 1))
(* 1/2 (pow b 2))
(* (pow b 2) (- 1/2 (/ 1 b)))
(* (pow b 2) (- (+ 1/2 (/ 1 (pow b 2))) (/ 1 b)))
(* 1/2 b)
(* b (- 1/2 (/ 1 b)))
(* -1/2 (pow b 2))
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2))
(pow b 8)
(* (pow b 8) (+ 1 (* 2 (/ 1 (pow b 2)))))
(* (pow b 8) (- (+ 1 (* 2 (/ 1 (pow b 2)))) (/ 1 (pow b 6))))
(* (pow b 8) (- (+ 1 (+ (* 2 (/ 1 (pow b 2))) (/ 1 (pow b 8)))) (/ 1 (pow b 6))))
(/ (sqrt -1) (pow b 3))
(/ (+ (sqrt -1) (* 3/2 (/ 1 (* (pow b 2) (sqrt -1))))) (pow b 3))
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1))))) (pow b 3))
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/2 (/ (- 11 (* -3/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow b 6) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1)))))) (pow b 3))
(pow b 12)
(* (pow b 12) (+ 1 (* 3 (/ 1 (pow b 2)))))
(* (pow b 12) (+ 1 (+ (* 3 (/ 1 (pow b 2))) (/ 3 (pow b 4)))))
(* (pow b 12) (+ 1 (+ (* 3 (/ 1 (pow b 2))) (+ (/ 1 (pow b 6)) (/ 3 (pow b 4))))))
(/ -1 (pow b 6))
(/ (- (* 3 (/ 1 (pow b 2))) 1) (pow b 6))
(/ (- (* 3 (/ 1 (pow b 2))) (+ 1 (/ 6 (pow b 4)))) (pow b 6))
(/ (- (+ (* 3 (/ 1 (pow b 2))) (* 11 (/ 1 (pow b 6)))) (+ 1 (/ 6 (pow b 4)))) (pow b 6))
(* -1 (pow (sqrt -1) 3))
(+ (* -1 (pow (sqrt -1) 3)) (/ (pow (sqrt -1) 3) b))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow (sqrt -1) 3)) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) b)) (* -1 (pow (sqrt -1) 3))) b)) (* -1 (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sqrt -1) 3)) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) b)) (* -1 (pow (sqrt -1) 3))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) b)) (* -1 (pow (sqrt -1) 3))) b)) (* -1 (pow (sqrt -1) 3)))
(* -1 (* b (pow (sqrt -1) 3)))
(* -1 (* b (+ (* 1/2 (/ 1 (* (pow b 2) (pow (sqrt -1) 3)))) (pow (sqrt -1) 3))))
(* -1 (* b (- (+ (/ 1/2 (* (pow b 2) (pow (sqrt -1) 3))) (pow (sqrt -1) 3)) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 9))))))
(* -1 (* b (- (+ (/ 1/2 (* (pow b 2) (pow (sqrt -1) 3))) (+ (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 15)))) (pow (sqrt -1) 3))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 9)))))))
(* -1 (* (pow b 2) (pow (sqrt -1) 4)))
(* (pow b 2) (- (/ 1 (pow b 2)) (pow (sqrt -1) 4)))
(* (pow b 2) (pow (sqrt -1) 4))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ (sqrt -1) b))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 b)) b))))
(* -1 (* b (- (/ 1 b) 1/2)))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3))))))
(* -1 (* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3)))))))
(* -1 (/ (sqrt -1) (pow b 3)))
(* -1 (/ (+ (sqrt -1) (* 3/2 (/ 1 (* (pow b 2) (sqrt -1))))) (pow b 3)))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1))))) (pow b 3)))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/2 (/ (- 11 (* -3/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow b 6) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1)))))) (pow b 3)))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 b))
(-.f64 #s(literal 1 binary64) b)
(+ 1 (* b (- (* 1/2 b) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (- (* b (+ 1/2 (* -1/2 b))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* -1/8 (pow b 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (pow b 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 b b) #s(literal -1/8 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (* -1 (pow b 2)))
(fma.f64 (neg.f64 b) b #s(literal 1 binary64))
(pow b 2)
(*.f64 b b)
-1
#s(literal -1 binary64)
(- (* 1/2 b) 1)
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
(+ 1 (* (pow b 2) (- (* 2 (pow b 4)) 1)))
(fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 2 binary64) (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))
(+ 1 (* (pow b 2) (- (* (pow b 4) (+ 2 (pow b 2))) 1)))
(fma.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 b b #s(literal 2 binary64)) (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))
(+ 1 (* -1 (pow b 6)))
(-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))
(+ 1 (* (pow b 6) (- (* -3/2 (pow b 2)) 1)))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow b 6) (- (* (pow b 2) (- (* -3/2 (pow b 2)) 3/2)) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) #s(literal -3/2 binary64)) (*.f64 b b) #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))
(sqrt b)
(sqrt.f64 b)
(pow b 6)
(pow.f64 b #s(literal 6 binary64))
(* (pow b 6) (+ 1 (* 3 (pow b 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 b b) #s(literal 1 binary64)) (pow.f64 b #s(literal 6 binary64)))
(* (pow b 6) (+ 1 (* (pow b 2) (+ 3 (* 3 (pow b 2))))))
(*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal 6 binary64)))
(* (pow b 6) (+ 1 (* (pow b 2) (+ 3 (* (pow b 2) (+ 3 (pow b 2)))))))
(*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)))
(+ 1 (* -2 (pow b 6)))
(fma.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow b 6) (- (* -3 (pow b 2)) 2)))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) #s(literal -2 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow b 6) (- (* (pow b 2) (- (* -3 (pow b 2)) 3)) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) #s(literal -3 binary64)) (*.f64 b b) #s(literal -2 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* -1 (/ (sqrt -1) b)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))
(+.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b)) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
(- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) b)) (+ (* -1 (/ (sqrt -1) (pow b 3))) (+ (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))) (/ (sqrt -1) (pow b 2)))))) (/ 1/2 (* (pow b 3) (sqrt -1))))
(-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(* b (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1))))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (sqrt.f64 #s(literal -1 binary64))) b)
(* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3)))))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) b)
(* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3))))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) b)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (/ 1 (pow b 2)) 1))
(fma.f64 (neg.f64 b) b #s(literal 1 binary64))
(* 1/2 (pow b 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) b) b)
(* (pow b 2) (- 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b)
(* (pow b 2) (- (+ 1/2 (/ 1 (pow b 2))) (/ 1 b)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (- 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
(* -1/2 (pow b 2))
(*.f64 (*.f64 #s(literal -1/2 binary64) b) b)
(* (pow b 2) (- (/ 1 (pow b 2)) 1/2))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))
(pow b 8)
(pow.f64 b #s(literal 8 binary64))
(* (pow b 8) (+ 1 (* 2 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 8 binary64)))
(* (pow b 8) (- (+ 1 (* 2 (/ 1 (pow b 2)))) (/ 1 (pow b 6))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 b #s(literal 8 binary64)))
(* (pow b 8) (- (+ 1 (+ (* 2 (/ 1 (pow b 2))) (/ 1 (pow b 8)))) (/ 1 (pow b 6))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 b #s(literal 8 binary64)))
(/ (sqrt -1) (pow b 3))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (sqrt -1) (* 3/2 (/ 1 (* (pow b 2) (sqrt -1))))) (pow b 3))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1))))) (pow b 3))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -15/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b)) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/2 (/ (- 11 (* -3/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow b 6) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1)))))) (pow b 3))
(/.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 43/16 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b) (/.f64 (/.f64 #s(literal -15/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 3 binary64)))
(pow b 12)
(pow.f64 b #s(literal 12 binary64))
(* (pow b 12) (+ 1 (* 3 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 12 binary64)))
(* (pow b 12) (+ 1 (+ (* 3 (/ 1 (pow b 2))) (/ 3 (pow b 4)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 b b))) (pow.f64 b #s(literal 12 binary64)))
(* (pow b 12) (+ 1 (+ (* 3 (/ 1 (pow b 2))) (+ (/ 1 (pow b 6)) (/ 3 (pow b 4))))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 12 binary64)))
(/ -1 (pow b 6))
(/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 6 binary64)))
(/ (- (* 3 (/ 1 (pow b 2))) 1) (pow b 6))
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 6 binary64)))
(/ (- (* 3 (/ 1 (pow b 2))) (+ 1 (/ 6 (pow b 4)))) (pow b 6))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64)))
(/ (- (+ (* 3 (/ 1 (pow b 2))) (* 11 (/ 1 (pow b 6)))) (+ 1 (/ 6 (pow b 4)))) (pow b 6))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 6 binary64)))
(* -1 (pow (sqrt -1) 3))
(sqrt.f64 #s(literal -1 binary64))
(+ (* -1 (pow (sqrt -1) 3)) (/ (pow (sqrt -1) 3) b))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow (sqrt -1) 3)) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) b)) (* -1 (pow (sqrt -1) 3))) b)) (* -1 (pow (sqrt -1) 3)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) b) (sqrt.f64 #s(literal -1 binary64))) b) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow (sqrt -1) 3)) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) b)) (* -1 (pow (sqrt -1) 3))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) b)) (* -1 (pow (sqrt -1) 3))) b)) (* -1 (pow (sqrt -1) 3)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) b) (sqrt.f64 #s(literal -1 binary64))) b))
(* -1 (* b (pow (sqrt -1) 3)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(* -1 (* b (+ (* 1/2 (/ 1 (* (pow b 2) (pow (sqrt -1) 3)))) (pow (sqrt -1) 3))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (sqrt.f64 #s(literal -1 binary64))) b)
(* -1 (* b (- (+ (/ 1/2 (* (pow b 2) (pow (sqrt -1) 3))) (pow (sqrt -1) 3)) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 9))))))
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 9 binary64))) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 b))
(* -1 (* b (- (+ (/ 1/2 (* (pow b 2) (pow (sqrt -1) 3))) (+ (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 15)))) (pow (sqrt -1) 3))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 9)))))))
(*.f64 (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 15 binary64))) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 9 binary64))) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 b))
(* -1 (* (pow b 2) (pow (sqrt -1) 4)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) b) (neg.f64 b))
(* (pow b 2) (- (/ 1 (pow b 2)) (pow (sqrt -1) 4)))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) b) (neg.f64 b) #s(literal 1 binary64))
(* (pow b 2) (pow (sqrt -1) 4))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) b) b)
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ (sqrt -1) b))
(-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) b)) b) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) b))) (* 1/2 (/ 1 (sqrt -1)))) b))) b)))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) b) (sqrt.f64 #s(literal -1 binary64))) b) (sqrt.f64 #s(literal -1 binary64)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 b)) b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(* -1 (* b (- (/ 1 b) 1/2)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
(* -1 (* b (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) b)
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ 1 (* (pow b 2) (sqrt -1)))))))
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b) (sqrt.f64 #s(literal -1 binary64))) b)
(* -1 (* b (- (+ (sqrt -1) (/ 1/2 (* (pow b 2) (sqrt -1)))) (/ 1/8 (* (pow b 4) (pow (sqrt -1) 3))))))
(*.f64 (+.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) b)
(* -1 (* b (- (+ (sqrt -1) (+ (/ 1/2 (* (pow b 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow b 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow b 4) (pow (sqrt -1) 3)))))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 b))
(* -1 (/ (sqrt -1) (pow b 3)))
(neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))))
(* -1 (/ (+ (sqrt -1) (* 3/2 (/ 1 (* (pow b 2) (sqrt -1))))) (pow b 3)))
(/.f64 (-.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1))))) (pow b 3)))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -15/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b)) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/2 (/ (- 11 (* -3/2 (/ (+ 6 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow b 6) (sqrt -1)))) (/ 3/2 (* (pow b 2) (sqrt -1)))))) (pow b 3)))
(/.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 43/16 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) b) (/.f64 (/.f64 #s(literal -15/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(sqrt.f64 b)

rewrite183.0ms (4.9%)

Memory
-20.1MiB live, 57.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041241
069235
1271235
21924235
08402235
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 497
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 b) #s(literal 4 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
#s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 b b)
(fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) b))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(sqrt.f64 b)
(pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b (-.f64 b #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 b (-.f64 b #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 b (-.f64 b #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (+.f64 b #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 b #s(literal 1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))) (pow.f64 (neg.f64 (+.f64 b #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (pow.f64 (+.f64 b #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 b #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 b #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 b #s(literal 1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 b #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))))) (neg.f64 (neg.f64 (+.f64 b #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))) (neg.f64 (+.f64 b #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 b #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))) (+.f64 b #s(literal 1 binary64))))
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (neg.f64 (+.f64 b #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 b #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (neg.f64 (+.f64 b #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 b b #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (+.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (+.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 b) b))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b b #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 b b #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) b))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 b b #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) b))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 b b #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))))))
(sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 b) b)) #s(literal 1/2 binary64)))
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(fma.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 b #s(literal 18 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 12 binary64))) (pow.f64 b #s(literal 6 binary64))))) (/.f64 (pow.f64 b #s(literal 18 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 12 binary64))) (pow.f64 b #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 12 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 b #s(literal 18 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 12 binary64))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))))

eval78.0ms (2.1%)

Memory
-19.4MiB live, 56.8MiB allocated
Compiler

Compiled 22 119 to 2 613 computations (88.2% saved)

prune11.0ms (0.3%)

Memory
23.3MiB live, 23.3MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5555560
Fresh303
Picked145
Done000
Total5599568
Accuracy
100.0%
Counts
568 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 b #s(literal 1 binary64)))
100.0%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))))) (+.f64 #s(literal 1 binary64) b))
✓100.0%
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
✓99.4%
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
99.4%
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
98.9%
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
✓99.3%
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
99.3%
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b) #s(literal 1 binary64)))
✓97.6%
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
Compiler

Compiled 376 to 184 computations (51.1% saved)

regimes6.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b) #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 b #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 b b (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) b))
Outputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
Calls

2 calls:

3.0ms
b
3.0ms
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Results
AccuracySegmentsBranch
100.0%1b
100.0%1(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b) #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 b #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Outputs
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
Calls

2 calls:

3.0ms
b
2.0ms
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Results
AccuracySegmentsBranch
100.0%1b
100.0%1(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b) #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
(/.f64 #s(approx (sqrt (- 1 (pow b 2))) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
Outputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
b
2.0ms
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Results
AccuracySegmentsBranch
99.4%1b
99.4%1(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b) #s(literal 1 binary64)))
Outputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
b
1.0ms
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Results
AccuracySegmentsBranch
99.3%1b
99.3%1(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow (sqrt b) 4))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
Outputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
Calls

2 calls:

2.0ms
b
1.0ms
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Results
AccuracySegmentsBranch
98.9%1b
98.9%1(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes8.0ms (0.2%)

Memory
-100.5MiB live, 3.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
Outputs
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
Calls

2 calls:

1.0ms
b
1.0ms
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Results
AccuracySegmentsBranch
97.6%1b
97.6%1(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) b))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify85.0ms (2.3%)

Memory
12.0MiB live, 12.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03286
14486
25686
36886
49086
511386
622886
7112586
8278386
9529386
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))
Outputs
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 b) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) b))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) (-.f64 #s(literal 1 binary64) b))
#s(approx (/ (sqrt (- 1 (pow b 2))) (+ 1 b)) #s(literal 1 binary64))

soundness528.0ms (14.1%)

Memory
6.1MiB live, 6.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112390
1301373
2824361
32793332
08455316
0827
01327
15527
233827
3309727
0915024
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 148 to 78 computations (47.3% saved)

preprocess34.0ms (0.9%)

Memory
21.9MiB live, 21.9MiB allocated
Compiler

Compiled 192 to 82 computations (57.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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