(- 1.0 (* (* (* (/ 0.44 y) 1.333333) (* 1.259921 (/ 1.0 z))) (+ (* (* x a) 0.125) (atan2 1.0 (* 0.5 x)))))

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

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

Compiled 57 to 46 computations (19.3% saved)

sample3.3s (46.4%)

Memory
261.5MiB live, 1 860.5MiB allocated
Samples
2.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 602.0ms (37.7% of total)
ival-<=: 269.0ms (16.8% of total)
ival-div: 248.0ms (15.5% of total)
ival-atan2: 214.0ms (13.4% of total)
ival-add: 82.0ms (5.1% of total)
exact: 65.0ms (4.1% of total)
ival-and: 63.0ms (3.9% of total)
ival-sub: 51.0ms (3.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain498.0ms (7.1%)

Memory
118.7MiB live, 257.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-a
00-0-#s(literal 5674179746116263/4503599627370496 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3002399000980393/2251799813685248 binary64)
00-0-#s(literal 7926335344172073/18014398509481984 binary64)
00-0-#s(literal 1/8 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) x)
00-0-(/.f64 #s(literal 1 binary64) z)
00-0-y
00-0-(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
00-0-(*.f64 x a)
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 (*.f64 x a) #s(literal 1/8 binary64))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
00-0-(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
00-0-z
00-0-(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
00-0-(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
00-0-(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
00-0-(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
00-0-x
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
250.0ms512×0valid
Compiler

Compiled 253 to 70 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-div: 189.0ms (85.1% of total)
ival-mult: 21.0ms (9.5% of total)
ival-atan2: 5.0ms (2.3% of total)
ival-sub: 2.0ms (0.9% of total)
ival-add: 2.0ms (0.9% of total)
exact: 2.0ms (0.9% of total)
ival-true: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess185.0ms (2.6%)

Memory
-43.8MiB live, 34.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100308
1365274
21892266
37848266
02225
03421
16819
223719
3152719
4562819
0815417
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal 1 binary64))
Symmetry

(sort y z)

Compiler

Compiled 25 to 22 computations (12% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
Compiler

Compiled 25 to 22 computations (12% saved)

simplify119.0ms (1.7%)

Memory
27.9MiB live, 27.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
cost-diff2
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
cost-diff2
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
cost-diff2
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022112
03496
16890
223790
3152790
4562890
0815486
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
#s(literal 7926335344172073/18014398509481984 binary64)
y
#s(literal 3002399000980393/2251799813685248 binary64)
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
#s(literal 5674179746116263/4503599627370496 binary64)
(/.f64 #s(literal 1 binary64) z)
z
(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 x a) #s(literal 1/8 binary64))
(*.f64 x a)
x
a
#s(literal 1/8 binary64)
(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y))
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
(/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y)
(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
#s(literal 7926335344172073/18014398509481984 binary64)
y
#s(literal 3002399000980393/2251799813685248 binary64)
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)
#s(literal 5674179746116263/4503599627370496 binary64)
(/.f64 #s(literal 1 binary64) z)
z
(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 x a) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 a x))
(*.f64 x a)
(*.f64 a x)
x
a
#s(literal 1/8 binary64)
(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)

localize45.0ms (0.6%)

Memory
19.3MiB live, 19.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.26171875
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
accuracy0.28515625
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
accuracy0.32259750976844204
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
accuracy0.34375
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
Samples
33.0ms256×0valid
Compiler

Compiled 114 to 24 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (50.9% of total)
ival-div: 4.0ms (20.4% of total)
ival-atan2: 2.0ms (10.2% of total)
ival-sub: 1.0ms (5.1% of total)
ival-add: 1.0ms (5.1% of total)
exact: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
5 → 23
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
Outputs
(- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(- (+ 1 (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))
(+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(* x (- (/ 1 x) (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))))))
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(* x (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z))))))
(* -1 (* x (- (* -1 (/ (- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) x)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))))))
(* -1 (* x (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))))))
(/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (* y z))
(/ 23798021318777811490205891164689/40564819207303340847894502572032 y)
(* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z)))
(/ (- y (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) z))) y)
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z)))
1
(+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z))))
(/ 5674179746116263/4503599627370496 z)
(/ (- z (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))) z)
(* a (- (/ 1 a) (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z)))))))
(* a (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z))))))
(* -1 (* a (- (* -1 (/ (- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) a)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))))))
(* -1 (* a (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z)))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))))))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
z
@0
((* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z)) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))))
3.0ms
y
@0
((* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z)) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))))
2.0ms
y
@inf
((* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z)) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))))
2.0ms
y
@-inf
((* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z)) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))))
2.0ms
z
@-inf
((* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z)) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))))

simplify166.0ms (2.4%)

Memory
-45.2MiB live, 32.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084377
1259377
2898377
33263351
46721330
08046306
Stop Event
1×iter limit
1×node limit
Counts
23 → 23
Calls
Call 1
Inputs
(- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(- (+ 1 (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))
(+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(* x (- (/ 1 x) (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))))))
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(* x (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z))))))
(* -1 (* x (- (* -1 (/ (- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) x)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))))))
(* -1 (* x (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))))))
(/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (* y z))
(/ 23798021318777811490205891164689/40564819207303340847894502572032 y)
(* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z)))
(/ (- y (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) z))) y)
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z)))
1
(+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z))))
(/ 5674179746116263/4503599627370496 z)
(/ (- z (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))) z)
(* a (- (/ 1 a) (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z)))))))
(* a (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z))))))
(* -1 (* a (- (* -1 (/ (- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) a)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))))))
(* -1 (* a (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z)))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))))))
Outputs
(- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64))
(- (+ 1 (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z)
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))
(*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
(+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(neg.f64 (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) y))
(* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64))
(* x (- (/ 1 x) (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))))))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z)
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)
(* x (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z))))))
(neg.f64 (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) x)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))))))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z)
(* -1 (* x (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))))))
(neg.f64 (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) y))
(/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (* y z))
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y))
(/ 23798021318777811490205891164689/40564819207303340847894502572032 y)
(/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y)
(* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z)))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) y)
(/ (- y (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) z))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z)
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z)))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) z)
1
#s(literal 1 binary64)
(+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z))))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z)
(/ 5674179746116263/4503599627370496 z)
(/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)
(/ (- z (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))) z)
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z)
(* a (- (/ 1 a) (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z)))))))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z)
(* a (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z))))))
(neg.f64 (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) y))
(* -1 (* a (- (* -1 (/ (- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) a)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))))))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z)
(* -1 (* a (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z)))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))))))
(neg.f64 (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) y))

rewrite418.0ms (5.9%)

Memory
-437.0MiB live, 71.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02269
03453
110947
273847
0833644
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 607
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) (pow.f64 y #s(literal -1 binary64))) #s(literal 7926335344172073/18014398509481984 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) #s(literal -7926335344172073/18014398509481984 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) #s(literal 7926335344172073/18014398509481984 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 3002399000980393/2251799813685248 binary64)) (/.f64 #s(literal 44975451470826655281552935723199/81129638414606681695789005144064 binary64) y))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)) #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(literal 7926335344172073/18014398509481984 binary64)) (/.f64 #s(literal 3002399000980393/2251799813685248 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) z) #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64))
(*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 44975451470826655281552935723199/81129638414606681695789005144064 binary64) y) z) #s(literal 3002399000980393/2251799813685248 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) z) #s(literal 5674179746116263/4503599627370496 binary64))
(*.f64 (/.f64 #s(literal 3002399000980393/2251799813685248 binary64) z) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)))
(*.f64 (/.f64 #s(literal 3002399000980393/2251799813685248 binary64) z) (/.f64 (/.f64 #s(literal 44975451470826655281552935723199/81129638414606681695789005144064 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)))
(*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y)))
(*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)))
(*.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y))
(*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) #s(literal 18014398509481984/7926335344172073 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z))
(*.f64 #s(literal -7926335344172073/18014398509481984 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (/.f64 (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) y))
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) z))
(*.f64 (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z))
(*.f64 #s(literal 3002399000980393/2251799813685248 binary64) (/.f64 (/.f64 #s(literal 44975451470826655281552935723199/81129638414606681695789005144064 binary64) y) z))
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z))
(*.f64 #s(literal 7926335344172073/18014398509481984 binary64) (/.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) y))
(/.f64 (*.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) #s(literal -1 binary64)) (*.f64 y #s(literal -18014398509481984/7926335344172073 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) #s(literal -7926335344172073/18014398509481984 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) #s(literal 7926335344172073/18014398509481984 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) #s(literal 1 binary64)) (*.f64 z #s(literal 4503599627370496/5674179746116263 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)) y)
(/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) y)
(/.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (neg.f64 y))
(/.f64 (/.f64 #s(literal -17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) (*.f64 y #s(literal -18014398509481984/7926335344172073 binary64)))
(/.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) (neg.f64 z))
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y))
(/.f64 (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z) (*.f64 y #s(literal 18014398509481984/7926335344172073 binary64)))
(/.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) z)
(/.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 y #s(literal 40564819207303340847894502572032/23798021318777811490205891164689 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 18014398509481984/7926335344172073 binary64)) (/.f64 #s(literal 17036151601122648018771161431359/10141204801825835211973625643008 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y)))
(/.f64 (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (*.f64 z #s(literal 4503599627370496/5674179746116263 binary64)))
(neg.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 3002399000980393/2251799813685248 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 7926335344172073/18014398509481984 binary64))
(*.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64))
(*.f64 #s(literal -7926335344172073/18014398509481984 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y))
(*.f64 #s(literal 3002399000980393/2251799813685248 binary64) (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y))
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
(*.f64 #s(literal 7926335344172073/18014398509481984 binary64) (/.f64 #s(literal 3002399000980393/2251799813685248 binary64) y))
(pow.f64 (*.f64 y #s(literal 40564819207303340847894502572032/23798021318777811490205891164689 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -3002399000980393/2251799813685248 binary64) (*.f64 y #s(literal -18014398509481984/7926335344172073 binary64)))
(/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) (neg.f64 y))
(/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 40564819207303340847894502572032/23798021318777811490205891164689 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 40564819207303340847894502572032/23798021318777811490205891164689 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 18014398509481984/7926335344172073 binary64)) #s(literal 3002399000980393/2251799813685248 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 40564819207303340847894502572032/23798021318777811490205891164689 binary64)))
(/.f64 #s(literal 3002399000980393/2251799813685248 binary64) (*.f64 y #s(literal 18014398509481984/7926335344172073 binary64)))
(neg.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y))
(*.f64 (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 5674179746116263/4503599627370496 binary64)))
(*.f64 #s(literal -5674179746116263/4503599627370496 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -5674179746116263/4503599627370496 binary64) z))
(*.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 5674179746116263/4503599627370496 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z))
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (*.f64 z #s(literal 4503599627370496/5674179746116263 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -5674179746116263/4503599627370496 binary64) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z #s(literal 4503599627370496/5674179746116263 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 4503599627370496/5674179746116263 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 4503599627370496/5674179746116263 binary64)))
(/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)
(neg.f64 (/.f64 #s(literal -5674179746116263/4503599627370496 binary64) z))
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(+.f64 (*.f64 (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (*.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 a (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)))) (*.f64 (/.f64 #s(literal 23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z))))
(+.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) y)) (*.f64 (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) (*.f64 z y)) a) x))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) (*.f64 z y)) a) x) (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) y)))

eval83.0ms (1.2%)

Memory
-35.1MiB live, 60.3MiB allocated
Compiler

Compiled 18 098 to 1 825 computations (89.9% saved)

prune18.0ms (0.3%)

Memory
26.3MiB live, 26.3MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New60910619
Fresh000
Picked101
Done000
Total61010620
Accuracy
100.0%
Counts
620 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y)) #s(literal 1 binary64))
▶100.0%
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal 1 binary64)))
▶100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
▶98.9%
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
▶88.2%
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
98.9%
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)))
99.9%
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z))
5.8%
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)))
▶88.0%
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
Compiler

Compiled 614 to 494 computations (19.5% saved)

simplify163.0ms (2.3%)

Memory
40.8MiB live, 40.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))
cost-diff0
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y))
cost-diff1
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
cost-diff0
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)
cost-diff0
(*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
cost-diff0
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
cost-diff0
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)
cost-diff0
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
cost-diff0
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
cost-diff0
(/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)
cost-diff2
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048380
070356
1158346
2532344
32493344
45494344
08399341
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)
#s(literal 5674179746116263/4503599627370496 binary64)
z
(*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y)
#s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64)
y
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/8 binary64)
(*.f64 a x)
a
x
(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(literal 1 binary64)
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)
a
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
#s(literal 1 binary64)
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
(*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)
#s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)
z
(/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
#s(literal 1 binary64)
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/8 binary64)
(*.f64 a x)
a
x
(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)
(*.f64 z y)
z
y
Outputs
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal 1 binary64))
(/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)
#s(literal 5674179746116263/4503599627370496 binary64)
z
(*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64))
(/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y)
#s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64)
y
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/8 binary64)
(*.f64 a x)
(*.f64 x a)
a
x
(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) (/.f64 x (*.f64 y z))) a)))
#s(literal 1 binary64)
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a))
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) (/.f64 x (*.f64 y z))) a))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)
(*.f64 (*.f64 #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) (/.f64 x (*.f64 y z))) a)
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64))
(*.f64 #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) (/.f64 x (*.f64 y z)))
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 y z))
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)
a
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) y) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))))
#s(literal 1 binary64)
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) y) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)))
(*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) y) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)
#s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)
z
(/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
(fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) z) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))
(*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/8 binary64)
(*.f64 a x)
(*.f64 x a)
a
x
(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)
(*.f64 z y)
(*.f64 y z)
z
y

localize139.0ms (2%)

Memory
-17.9MiB live, 61.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
accuracy0.0390625
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.078125
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))
accuracy0.2890625
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y))
accuracy0.25
(/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
accuracy0.31478500976844204
(*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
accuracy0.3984375
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)
accuracy5.265875592443451
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
accuracy0.21875
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)
accuracy0.296875
(/.f64 x (*.f64 z y))
accuracy0.3912887695368841
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64))
accuracy61.836412073970955
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a))
accuracy7.661858211729162
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
accuracy0.02734375
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
accuracy0.0390625
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.296875
(*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
accuracy0.33203125
(/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y)
Samples
84.0ms256×0valid
Compiler

Compiled 344 to 45 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 25.0ms (43% of total)
ival-div: 16.0ms (27.5% of total)
const: 8.0ms (13.8% of total)
ival-add: 4.0ms (6.9% of total)
ival-atan2: 3.0ms (5.2% of total)
ival-sub: 2.0ms (3.4% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.8%)

Memory
22.9MiB live, 22.9MiB allocated
Counts
19 → 56
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)
(*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y)
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
(*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (*.f64 z y))
(/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
Outputs
(+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(+ 1 (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))))
(* -23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) y))
(+ (* -23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) y)) (* -23798021318777811490205891164689/324518553658426726783156020576256 (/ (* a x) y)))
(- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(- (+ 1 (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))
(+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z)))
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (atan2 1 (* 1/2 x)))
(+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (* a x)) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (atan2 1 (* 1/2 x))))
(atan2 1 (* 1/2 x))
(+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))
(/ x (* y z))
(/ (atan2 1 (* 1/2 x)) y)
(* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
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(* 1/8 (* a x))
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(/ (- y (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) z))) y)
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1
(+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z))))
(/ (+ z (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))) z)
(/ 5674179746116263/4503599627370496 z)
(/ (- z (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))) z)
(/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z)
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(* -1 (* a (+ (* -1 (/ (atan2 1 (* 1/2 x)) a)) (* -1/8 x))))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
a
@inf
((+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) a) (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (/ (atan2 1 (* 1/2 x)) y)) (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (- 1 (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y))) (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y)) (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (/ x (* z y)) (/ (atan2 1 (* 1/2 x)) y))
8.0ms
x
@0
((+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) a) (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (/ (atan2 1 (* 1/2 x)) y)) (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (- 1 (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y))) (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y)) (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (/ x (* z y)) (/ (atan2 1 (* 1/2 x)) y))
4.0ms
x
@-inf
((+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) a) (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (/ (atan2 1 (* 1/2 x)) y)) (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (- 1 (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y))) (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y)) (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (/ x (* z y)) (/ (atan2 1 (* 1/2 x)) y))
4.0ms
x
@inf
((+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) a) (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (/ (atan2 1 (* 1/2 x)) y)) (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (- 1 (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y))) (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y)) (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (/ x (* z y)) (/ (atan2 1 (* 1/2 x)) y))
4.0ms
y
@0
((+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) a) (* (/ x (* z y)) 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976) (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (* (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (/ (atan2 1 (* 1/2 x)) y)) (/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z) (- 1 (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y))) (/ (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (* z y)) (* (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (/ x (* z y)) (/ (atan2 1 (* 1/2 x)) y))

simplify167.0ms (2.4%)

Memory
-37.2MiB live, 37.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0183830
1566830
21830830
35341792
08266737
Stop Event
1×iter limit
1×node limit
Counts
56 → 56
Calls
Call 1
Inputs
(+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(+ 1 (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))))
(* -23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) y))
(+ (* -23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) y)) (* -23798021318777811490205891164689/324518553658426726783156020576256 (/ (* a x) y)))
(- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(- (+ 1 (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))
(+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z)))
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (atan2 1 (* 1/2 x)))
(+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (* a x)) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (atan2 1 (* 1/2 x))))
(atan2 1 (* 1/2 x))
(+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))
(/ x (* y z))
(/ (atan2 1 (* 1/2 x)) y)
(* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(* x (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))) (+ (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (/ 1 x))))
(* -23798021318777811490205891164689/324518553658426726783156020576256 (/ (* a x) y))
(* x (+ (* -23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) (* x y))) (* -23798021318777811490205891164689/324518553658426726783156020576256 (/ a y))))
(* x (- (/ 1 x) (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))))))
(* x (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z))))))
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (* a x))
(* x (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 a) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) x))))
(* 1/8 (* a x))
(* x (+ (* 1/8 a) (/ (atan2 1 (* 1/2 x)) x)))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) x)) (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))))))
(* -1 (* x (+ (* 23798021318777811490205891164689/324518553658426726783156020576256 (/ a y)) (* 23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) (* x y))))))
(* -1 (* x (- (* -1 (/ (- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) x)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))))))
(* -1 (* x (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))))))
(* -1 (* x (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) x)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 a))))
(* -1 (* x (+ (* -1 (/ (atan2 1 (* 1/2 x)) x)) (* -1/8 a))))
(* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z)))
(/ (+ y (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) z))) y)
(* -23798021318777811490205891164689/40564819207303340847894502572032 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))
(/ -23798021318777811490205891164689/40564819207303340847894502572032 y)
(/ (- y (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) z))) y)
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z)))
1
(+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (* y z))))
(/ (+ z (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))) z)
(/ 5674179746116263/4503599627370496 z)
(/ (- z (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))) z)
(/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z)
(* a (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z)))) (+ (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))) (/ 1 a))))
(* a (+ (* -23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) (* a y))) (* -23798021318777811490205891164689/324518553658426726783156020576256 (/ x y))))
(* a (- (/ 1 a) (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z)))))))
(* a (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z))))))
(* a (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 x) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) a))))
(* a (+ (* 1/8 x) (/ (atan2 1 (* 1/2 x)) a)))
(* -1 (* a (+ (* -1 (/ (+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) a)) (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))))))
(* -1 (* a (+ (* 23798021318777811490205891164689/324518553658426726783156020576256 (/ x y)) (* 23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) (* a y))))))
(* -1 (* a (- (* -1 (/ (- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))) a)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))))))
(* -1 (* a (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* a (* y z)))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z))))))
(* -1 (* a (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) a)) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 x))))
(* -1 (* a (+ (* -1 (/ (atan2 1 (* 1/2 x)) a)) (* -1/8 x))))
Outputs
(+ 1 (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal 1 binary64))
(+ 1 (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))) (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))))
(fma.f64 (/.f64 a (*.f64 y z)) (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) a) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) x)) #s(literal 1 binary64))
(* -23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) y))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64))
(+ (* -23798021318777811490205891164689/40564819207303340847894502572032 (/ (atan2 1 (* 1/2 x)) y)) (* -23798021318777811490205891164689/324518553658426726783156020576256 (/ (* a x) y)))
(fma.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64)))
(- 1 (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(fma.f64 (/.f64 a (*.f64 y z)) (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) a) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) x)) #s(literal 1 binary64))
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z)))
(*.f64 (/.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) z) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z))) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* y z))))
(*.f64 (/.f64 a (*.f64 y z)) (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) a) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) x)))
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(*.f64 (*.f64 (/.f64 a (*.f64 y z)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) x)
(* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64))
(* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (atan2 1 (* 1/2 x)))
(*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (* a x)) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (atan2 1 (* 1/2 x))))
(*.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))
(atan2 1 (* 1/2 x))
(atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))
(fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ (atan2 1 (* 1/2 x)) y)
(/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
(* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ (* a x) (* y z)))
(*.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) z) x) (/.f64 a y))
(* x (+ (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) (* x (* y z)))) (+ (* -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 (/ a (* y z))) (/ 1 x))))
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1
#s(literal 1 binary64)
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(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) y)
(/ (+ z (* -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))) z)
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(/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)
(/ (- z (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) y))) z)
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) y)
(/ 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 z)
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)
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(* a (+ (* 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 x) (* 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 (/ (atan2 1 (* 1/2 x)) a))))
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(*.f64 (fma.f64 #s(literal 1/8 binary64) a (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) x)
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(fma.f64 (/.f64 a (*.f64 y z)) (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) a) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) x)) #s(literal 1 binary64))
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(*.f64 (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) a)) x)
(* -1 (* a (+ (* -1 (/ (atan2 1 (* 1/2 x)) a)) (* -1/8 x))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) a (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) x)

rewrite212.0ms (3%)

Memory
-26.0MiB live, 63.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048304
070280
1287268
22220268
08178265
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 657
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z)
(*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y)
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
#s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
(*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (*.f64 z y))
(/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
Outputs
(*.f64 (fma.f64 #s(literal 2462248124768510259389850983526937459762577996255519431359175364922298408463854787202004315473854103011550267610849204036947219208702701508743/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 18234248825557245119281430468455424511929076810352606417046793740552727966849096292110503160849/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2462248124768510259389850983526937459762577996255519431359175364922298408463854787202004315473854103011550267610849204036947219208702701508743/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)) (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 z #s(literal 182687704666362864775460604089535377456991567872/135034250564652096784517409713844481713474237207 binary64))) #s(literal -2 binary64))) (pow.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 18234248825557245119281430468455424511929076810352606417046793740552727966849096292110503160849/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 y z)) (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 z #s(literal 182687704666362864775460604089535377456991567872/135034250564652096784517409713844481713474237207 binary64))) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)) (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2462248124768510259389850983526937459762577996255519431359175364922298408463854787202004315473854103011550267610849204036947219208702701508743/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 y z)) (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (fma.f64 #s(literal 18234248825557245119281430468455424511929076810352606417046793740552727966849096292110503160849/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 18234248825557245119281430468455424511929076810352606417046793740552727966849096292110503160849/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) #s(literal 1 binary64))) (fma.f64 #s(literal 2462248124768510259389850983526937459762577996255519431359175364922298408463854787202004315473854103011550267610849204036947219208702701508743/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 z #s(literal 182687704666362864775460604089535377456991567872/135034250564652096784517409713844481713474237207 binary64))) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2462248124768510259389850983526937459762577996255519431359175364922298408463854787202004315473854103011550267610849204036947219208702701508743/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z)) (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2462248124768510259389850983526937459762577996255519431359175364922298408463854787202004315473854103011550267610849204036947219208702701508743/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 18234248825557245119281430468455424511929076810352606417046793740552727966849096292110503160849/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) #s(literal 1 binary64))))))
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(fma.f64 (*.f64 #s(literal 1/8 binary64) x) a (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 a #s(literal 1/8 binary64)) x (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (*.f64 a #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 a (*.f64 x #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
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(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z)))
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(pow.f64 (/.f64 y (/.f64 x z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y z) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (/.f64 x y) z)
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (/.f64 x z) y)
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x))
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(neg.f64 (/.f64 (neg.f64 x) (*.f64 y z)))
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(/.f64 #s(literal 1 binary64) (/.f64 y (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y))
(neg.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)))
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eval84.0ms (1.2%)

Memory
-6.4MiB live, 69.5MiB allocated
Compiler

Compiled 25 794 to 2 308 computations (91.1% saved)

prune21.0ms (0.3%)

Memory
29.8MiB live, 29.8MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New6498657
Fresh325
Picked325
Done000
Total65512667
Accuracy
100.0%
Counts
667 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 y z)) #s(literal 1 binary64))
88.2%
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(approx (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a)) #s(literal 1 binary64))
99.9%
(fma.f64 (*.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))
98.9%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
98.9%
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 182687704666362864775460604089535377456991567872/135034250564652096784517409713844481713474237207 binary64))))))
✓88.2%
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
98.9%
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y z)))))
98.9%
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal 1 binary64)))
99.9%
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z))
5.8%
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)))
✓88.0%
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
5.8%
#s(approx (+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (*.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) z) x) (/.f64 a y)))
Compiler

Compiled 940 to 445 computations (52.7% saved)

regimes52.0ms (0.7%)

Memory
34.1MiB live, 34.1MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (*.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) z) x) (/.f64 a y)))
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(approx (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y z)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 182687704666362864775460604089535377456991567872/135034250564652096784517409713844481713474237207 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 y z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z))
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (*.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) z) #s(literal 1 binary64)))
Outputs
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
Calls

12 calls:

4.0ms
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
4.0ms
a
4.0ms
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
4.0ms
(/.f64 #s(literal 1 binary64) z)
4.0ms
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1a
100.0%1(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
100.0%1(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
100.0%1(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
100.0%1(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
100.0%1(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
100.0%1(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
100.0%1(/.f64 #s(literal 1 binary64) z)
100.0%1(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 90 to 112 computations (-24.4% saved)

regimes46.0ms (0.7%)

Memory
-44.3MiB live, 35.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (*.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) z) x) (/.f64 a y)))
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(approx (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y z)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 182687704666362864775460604089535377456991567872/135034250564652096784517409713844481713474237207 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 y z)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y) #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) z))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
Calls

12 calls:

5.0ms
z
4.0ms
y
4.0ms
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
4.0ms
a
4.0ms
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1a
100.0%1(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
100.0%1(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
100.0%1(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
100.0%1(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
100.0%1(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
100.0%1(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
100.0%1(/.f64 #s(literal 1 binary64) z)
100.0%1(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 90 to 112 computations (-24.4% saved)

regimes39.0ms (0.6%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (*.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) z) x) (/.f64 a y)))
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(approx (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y z)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 182687704666362864775460604089535377456991567872/135034250564652096784517409713844481713474237207 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/8 binary64) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 y z)) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y)) #s(literal 1 binary64))
Calls

12 calls:

3.0ms
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
3.0ms
a
3.0ms
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
3.0ms
(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
3.0ms
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1a
99.9%1(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
99.9%1(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
99.9%1(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
99.9%1(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
99.9%1(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
99.9%1(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
99.9%1(/.f64 #s(literal 1 binary64) z)
99.9%1(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 90 to 112 computations (-24.4% saved)

regimes35.0ms (0.5%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (*.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) z) x) (/.f64 a y)))
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(approx (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y z)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) z) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 182687704666362864775460604089535377456991567872/135034250564652096784517409713844481713474237207 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (/.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) z) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
Outputs
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y z)))))
Calls

12 calls:

3.0ms
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
3.0ms
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
3.0ms
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
3.0ms
a
3.0ms
(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
Results
AccuracySegmentsBranch
98.9%1x
98.9%1y
98.9%1z
98.9%1a
98.9%1(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
98.9%1(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
98.9%1(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
98.9%1(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
98.9%1(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
98.9%1(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
98.9%1(/.f64 #s(literal 1 binary64) z)
98.9%1(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 90 to 112 computations (-24.4% saved)

regimes24.0ms (0.3%)

Memory
-57.7MiB live, 21.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (*.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) z) x) (/.f64 a y)))
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(approx (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a)) #s(literal 1 binary64))
Outputs
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(approx (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a)) #s(literal 1 binary64))
Calls

12 calls:

3.0ms
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
2.0ms
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
2.0ms
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
2.0ms
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
2.0ms
(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
Results
AccuracySegmentsBranch
88.2%1x
88.2%1y
88.2%1z
88.2%1a
88.2%1(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
88.2%1(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
88.2%1(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
88.2%1(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
88.2%1(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
88.2%1(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
88.2%1(/.f64 #s(literal 1 binary64) z)
88.2%1(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 90 to 112 computations (-24.4% saved)

regimes21.0ms (0.3%)

Memory
21.0MiB live, 21.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (+ (* (/ 5674179746116263/4503599627370496 z) (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x))))) 1) (*.f64 (*.f64 (/.f64 #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64) z) x) (/.f64 a y)))
Outputs
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
Calls

12 calls:

2.0ms
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
2.0ms
z
2.0ms
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
2.0ms
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
2.0ms
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
88.2%1(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
88.2%1(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
88.2%1(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
88.2%1(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
88.2%1(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
88.2%1(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
88.2%1(/.f64 #s(literal 1 binary64) z)
88.2%1(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
88.2%1x
88.2%1z
88.2%1a
88.2%1y
Compiler

Compiled 90 to 112 computations (-24.4% saved)

regimes16.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated
Accuracy

Total -52.6b remaining (-686.6%)

Threshold costs -52.6b (-686.6%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) a) #s(literal -135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)))
Outputs
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
Calls

12 calls:

1.0ms
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
1.0ms
(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
1.0ms
(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
1.0ms
(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
88.0%1x
88.0%1z
88.0%1a
88.0%1(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
88.0%1(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
88.0%1(*.f64 (*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64)) (*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z)))
88.0%1(*.f64 (/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y) #s(literal 3002399000980393/2251799813685248 binary64))
88.0%1(/.f64 #s(literal 7926335344172073/18014398509481984 binary64) y)
88.0%1(*.f64 #s(literal 5674179746116263/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) z))
88.0%1(/.f64 #s(literal 1 binary64) z)
88.0%1(+.f64 (*.f64 (*.f64 x a) #s(literal 1/8 binary64)) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
88.0%1y
Compiler

Compiled 90 to 112 computations (-24.4% saved)

simplify63.0ms (0.9%)

Memory
18.6MiB live, 18.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062181
1117175
2346175
31868175
46156175
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y z)))))
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(approx (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))
Outputs
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) (*.f64 (/.f64 #s(literal -23798021318777811490205891164689/40564819207303340847894502572032 binary64) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64)) (*.f64 z y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a x) (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (*.f64 z y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 #s(literal 135034250564652096784517409713844481713474237207/182687704666362864775460604089535377456991567872 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y z)))))
(fma.f64 (/.f64 #s(literal 5674179746116263/4503599627370496 binary64) z) #s(approx (* (/ -23798021318777811490205891164689/40564819207303340847894502572032 y) (+ (* 1/8 (* a x)) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x y) #s(literal -23798021318777811490205891164689/324518553658426726783156020576256 binary64)) a)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x)))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 135034250564652096784517409713844481713474237207/1461501637330902918203684832716283019655932542976 binary64)) a)))
#s(approx (- 1 (* (* (* (/ 7926335344172073/18014398509481984 y) 3002399000980393/2251799813685248) (* 5674179746116263/4503599627370496 (/ 1 z))) (+ (* (* x a) 1/8) (atan2 1 (* 1/2 x))))) #s(literal 1 binary64))

soundness1.1s (14.9%)

Memory
-58.6MiB live, 22.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084377
1259377
2898377
33263351
46721330
08046306
0183830
1566830
21830830
35341792
08266737
048304
070280
1287268
22220268
08178265
02269
03453
110947
273847
0833644
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 355 to 227 computations (36.1% saved)

preprocess43.0ms (0.6%)

Memory
28.1MiB live, 28.1MiB allocated
Remove

(sort y z)

Compiler

Compiled 450 to 212 computations (52.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...