Jmat.Real.erfi, branch x less than or equal to 0.5

Time bar (total: 9.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
100%74.9%0%25.1%0%0%0%1
Compiler

Compiled 71 to 30 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-pi: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.3s (23.7%)

Results
1.9s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 735.0ms (45% of total)
ival-div: 336.0ms (20.6% of total)
ival-fabs: 234.0ms (14.3% of total)
ival-add: 116.0ms (7.1% of total)
ival-sqrt: 71.0ms (4.4% of total)
ival-pi: 62.0ms (3.8% of total)
ival-<=: 49.0ms (3% of total)
const: 25.0ms (1.5% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess91.0ms (0.9%)

Algorithm
egg-herbie
Rules
596×fma-neg
516×distribute-lft-neg-out
465×distribute-lft-in
436×neg-sub0
408×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054792
1168576
2389388
32082356
46561356
Stop Event
node limit
Calls
Call 1
Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x)))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))))))
Outputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x)))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))))
(neg.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64)))))
(neg.f64 (fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))) (sqrt.f64 (PI.f64)))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))))
Symmetry

(abs x)

explain315.0ms (3.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-#s(literal 21 binary64)
00-0-(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (fabs.f64 x))
00-0-(sqrt.f64 (PI.f64))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
00-0-(fabs.f64 x)
00-0-(*.f64 (fabs.f64 x) (fabs.f64 x))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 5 binary64))
00-0-(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
00-0-(PI.f64)
00-0-(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
00-0-(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
00-0-(*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 21 binary64))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-#s(literal 3 binary64)
00-0-(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
00-0-#s(literal 1 binary64)
00-0-#s(literal 5 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
Results
130.0ms512×0valid
Compiler

Compiled 880 to 86 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 34.0ms (44.2% of total)
ival-div: 17.0ms (22.1% of total)
ival-add: 12.0ms (15.6% of total)
ival-fabs: 6.0ms (7.8% of total)
ival-sqrt: 4.0ms (5.2% of total)
ival-pi: 2.0ms (2.6% of total)
const: 2.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 161 to 55 computations (65.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
99.5%
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
99.9%
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
Compiler

Compiled 99 to 62 computations (37.4% saved)

simplify470.0ms (4.8%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
cost-diff0
(fabs.f64 x)
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(fabs.f64 x)
cost-diff0
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
cost-diff6528
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x))))
cost-diff6976
(+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x))))
Rules
1396×distribute-lft-out
1024×*-commutative
551×distribute-rgt-in
495×associate-/l*
487×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0422182
11072040
23381564
313431314
426811314
541761314
646191314
746601314
846641314
946641314
1060411314
1169261314
1270961314
1375101314
1477001314
1577861314
1678541314
1778661314
1878871314
1978871314
Stop Event
node limit
Calls
Call 1
Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x))))
#s(literal 2 binary64)
(fabs.f64 x)
x
(*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))
#s(literal 2/3 binary64)
(*.f64 (fabs.f64 x) (*.f64 x x))
(*.f64 x x)
(*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))
#s(literal 1/5 binary64)
(*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
#s(literal 1/21 binary64)
(*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(fabs.f64 x)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(literal 1/5 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 x)
x
(fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(literal 1/5 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
Outputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))))))))
(fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) #s(literal 1/5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x)))) #s(literal 1/21 binary64))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (+.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x))))))))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) #s(literal 1/5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x)))) #s(literal 1/21 binary64))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64)))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))))))
(+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) #s(literal 1/5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x)))) #s(literal 1/21 binary64)))))
(+.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64))))))
(*.f64 (fabs.f64 x) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64)))))
(*.f64 (fabs.f64 x) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x)))) (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(*.f64 (fabs.f64 x) (+.f64 (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64)) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 x) (+.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)))
(*.f64 (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fabs.f64 x)
x
(*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))
(*.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64))))
(*.f64 x (*.f64 (fabs.f64 x) (*.f64 x #s(literal 2/3 binary64))))
(*.f64 x (*.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
#s(literal 2/3 binary64)
(*.f64 (fabs.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (fabs.f64 x)))
(*.f64 x x)
(*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))
(*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x))) (*.f64 x #s(literal 1/5 binary64)))
(*.f64 (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/5 binary64)))
(*.f64 (fabs.f64 x) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/5 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))))
#s(literal 1/5 binary64)
(*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x))))
(*.f64 x (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/21 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))
(*.f64 (fabs.f64 x) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(literal 1/21 binary64)
(*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x)))))
(*.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))
(*.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))))))))
(fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) #s(literal 1/5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x)))) #s(literal 1/21 binary64))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (+.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x))))))))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) #s(literal 1/5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x)))) #s(literal 1/21 binary64))))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64)))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(fabs.f64 x)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal 1/5 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))))))))
(fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) #s(literal 1/5 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fabs.f64 x)))) #s(literal 1/21 binary64))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (+.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/21 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))))
(fabs.f64 x)
x
(fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64)))) (sqrt.f64 (PI.f64)))
(+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal 1/5 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 2/3 binary64)) x #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)

localize268.0ms (2.8%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
accuracy99.9%
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
accuracy99.9%
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.9%
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
accuracy99.9%
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy99.6%
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
accuracy99.9%
(*.f64 (fabs.f64 x) (*.f64 x x))
accuracy99.8%
(*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))
accuracy98.4%
(sqrt.f64 (PI.f64))
Results
160.0ms256×0valid
Compiler

Compiled 495 to 37 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 21.0ms (31.2% of total)
...c/correct-round.rkt:119:19: 12.0ms (17.8% of total)
ival-pow: 9.0ms (13.4% of total)
ival-fma: 8.0ms (11.9% of total)
ival-div: 5.0ms (7.4% of total)
ival-fabs: 5.0ms (7.4% of total)
ival-add: 3.0ms (4.5% of total)
ival-sqrt: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.3%)

Counts
15 → 108
Calls
Call 1
Inputs
#<alt (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x))))>
#<alt (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))>
#<alt (fabs.f64 x)>
#<alt (PI.f64)>
#<alt (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))>
#<alt (pow.f64 x #s(literal 4 binary64))>
#<alt (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))>
#<alt (*.f64 (fabs.f64 x) (*.f64 x x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))>
#<alt (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))>
#<alt (*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (fabs.f64 x))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)))))>
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#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))>
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#<alt (*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
Calls

36 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (fabs x) (fabs (/ (+ (+ (* 1/5 (pow x 4)) (* 1/21 (pow x 6))) (+ (* 2/3 (* x x)) 2)) (sqrt (PI)))))
2.0ms
x
@-inf
(* (fabs x) (fabs (/ (+ (+ (* 1/5 (pow x 4)) (* 1/21 (pow x 6))) (+ (* 2/3 (* x x)) 2)) (sqrt (PI)))))
1.0ms
x
@inf
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* 2/3 (* (fabs x) (* x x)))) (* 1/5 (* (* (fabs x) (* x x)) (* x x)))) (* 1/21 (* (* (* (fabs x) (* x x)) (* x x)) (* x x)))))
1.0ms
x
@inf
(+ (+ (* 2 (fabs x)) (* 2/3 (* (fabs x) (* x x)))) (* 1/5 (* (* (fabs x) (* x x)) (* x x))))
1.0ms
x
@-inf
(+ (+ (* 2 (fabs x)) (* 2/3 (* (fabs x) (* x x)))) (* 1/5 (* (* (fabs x) (* x x)) (* x x))))

rewrite254.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
351×associate-*r*
282×log1p-expm1-u
282×expm1-log1p-u
275×add-cube-cbrt
273×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039522
1620390
Stop Event
node limit
Counts
15 → 347
Calls
Call 1
Inputs
(+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(fabs.f64 x)
(PI.f64)
(fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
(pow.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (fabs.f64 x) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/25 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/25 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/125 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/25 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/125 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/25 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/125 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/25 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/25 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
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(fabs.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (neg.f64 x)))
(fabs.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (PI.f64)))) x))
(fabs.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 x)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))

simplify322.0ms (3.3%)

Algorithm
egg-herbie
Rules
480×fma-neg
382×fma-define
335×*-commutative
307×times-frac
276×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083721372
1191318248
2589118244
Stop Event
node limit
Counts
455 → 501
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (fabs.f64 x))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)))))
(*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 #s(literal 2 binary64) (fabs.f64 x))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/5 binary64) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 1/5 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 #s(literal 1/5 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 #s(literal 1/5 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))
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(fabs.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (neg.f64 x)))
(fabs.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (PI.f64)))) x))
(fabs.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 x)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (fabs.f64 x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fabs.f64 x) #s(literal 2/3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)))))
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fabs.f64 x) #s(literal 2/3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 1/5 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/5 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal 1/5 binary64) (*.f64 x (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/5 binary64) (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal 1/5 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64))) (*.f64 x (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/5 binary64) (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal 1/5 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64))) (*.f64 x (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 1/5 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/5 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal 1/5 binary64) (*.f64 x (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/5 binary64) (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal 1/5 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64))) (*.f64 x (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/5 binary64) (fabs.f64 x) (fma.f64 #s(literal 2/3 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal 1/5 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64))) (*.f64 x (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (fabs.f64 x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (fabs.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (fabs.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (fabs.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2/3 binary64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (fabs.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (fabs.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (fabs.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2/3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
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#s(literal 2 binary64)
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(fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
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(fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
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(fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
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(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))))))

eval146.0ms (1.5%)

Compiler

Compiled 32772 to 3889 computations (88.1% saved)

prune129.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New8455850
Fresh000
Picked303
Done000
Total8485853
Accuracy
100.0%
Counts
853 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(fabs.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
99.5%
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
99.6%
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
39.9%
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
65.4%
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
Compiler

Compiled 178 to 134 computations (24.7% saved)

simplify318.0ms (3.3%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff0
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
cost-diff6656
(fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
cost-diff6656
(fabs.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(fabs.f64 x)
cost-diff0
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
cost-diff0
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
cost-diff0
(*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
cost-diff0
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
Rules
2020×fma-define
816×associate-*r*
575×associate-*l*
502×*-commutative
246×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491297
11231153
23211086
38961033
414701033
522341033
630271033
732021033
832861033
933261033
1033381033
1133381033
1240411033
1340601033
1440601033
1540601033
1653431033
1758991033
1859451033
1959531033
Stop Event
saturated
Calls
Call 1
Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
#s(literal 1/21 binary64)
(*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x))
(*.f64 (fabs.f64 x) (*.f64 x x))
(fabs.f64 x)
(*.f64 x x)
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 7 binary64))
x
#s(literal 7 binary64)
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(fabs.f64 x)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(fabs.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(literal 2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x))))))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal 3 binary64))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 5 binary64)) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 (fabs.f64 x) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal 3 binary64))))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 (*.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 5 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 (fabs.f64 x) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x))))))
(fma.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (fma.f64 (fabs.f64 x) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal 3 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))))
#s(literal 1/21 binary64)
(*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x))))
(*.f64 (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))
(*.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 x (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fabs.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (fabs.f64 x)))
(fabs.f64 x)
(*.f64 x x)
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(*.f64 #s(literal 1/21 binary64) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 7 binary64))
x
#s(literal 7 binary64)
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (fabs.f64 x) (/.f64 (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (fabs.f64 (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (fabs.f64 (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))
(*.f64 (fabs.f64 x) (/.f64 (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))))
(*.f64 (fabs.f64 x) (/.f64 (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(fabs.f64 x)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(fabs.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)))
#s(literal 2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize238.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
accuracy99.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy99.8%
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
accuracy99.8%
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy99.9%
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
accuracy99.9%
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy99.6%
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy100.0%
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
accuracy100.0%
(PI.f64)
accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
accuracy99.9%
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))
accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
accuracy100.0%
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
accuracy99.9%
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
accuracy99.9%
(*.f64 (fabs.f64 x) (*.f64 x x))
accuracy98.4%
(sqrt.f64 (PI.f64))
Results
154.0ms256×0valid
Compiler

Compiled 368 to 44 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 29.0ms (36.7% of total)
ival-pow: 13.0ms (16.4% of total)
ival-fabs: 9.0ms (11.4% of total)
...c/correct-round.rkt:119:19: 8.0ms (10.1% of total)
ival-div: 6.0ms (7.6% of total)
ival-fma: 6.0ms (7.6% of total)
ival-sqrt: 4.0ms (5.1% of total)
ival-add: 2.0ms (2.5% of total)
ival-pi: 1.0ms (1.3% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts
16 → 108
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))>
#<alt (fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (PI.f64))>
#<alt (fabs.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))>
Outputs
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fabs.f64 x)))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (/ 1 (sqrt (PI))) (+ (* 2 x) (* 1/21 (* (* (* (fabs x) (* x x)) (* x x)) (* x x)))))
1.0ms
x
@-inf
(* (/ 1 (sqrt (PI))) (+ (* 2 x) (* 1/21 (* (* (* (fabs x) (* x x)) (* x x)) (* x x)))))
1.0ms
x
@0
(* (sqrt (/ 1 (PI))) (* 1/21 (pow x 7)))
1.0ms
x
@0
(* x (* 2 (sqrt (/ 1 (PI)))))
1.0ms
x
@0
(* (/ 1 (sqrt (PI))) (+ (* 2 x) (* 1/21 (* (* (* (fabs x) (* x x)) (* x x)) (* x x)))))

rewrite141.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
354×associate-*r*
269×log1p-expm1-u
269×expm1-log1p-u
264×add-exp-log
264×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040554
1641392
Stop Event
node limit
Counts
16 → 413
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) x)
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(/.f64 #s(literal 1 binary64) (PI.f64))
(fabs.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) x))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))) (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 x (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
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(pow.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) (sqrt.f64 #s(literal 1/21 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 1/441 binary64)))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/21 binary64)) (pow.f64 x #s(literal 7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 2/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))

simplify284.0ms (2.9%)

Algorithm
egg-herbie
Rules
657×fma-neg
629×associate-*r*
620×associate-*l*
351×exp-prod
336×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076421477
1163818058
2622516706
Stop Event
node limit
Counts
521 → 459
Calls
Call 1
Inputs
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(fabs.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
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(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
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(*.f64 x (+.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))))) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) #s(literal 2 binary64)) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (*.f64 x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/21 binary64) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/21 binary64)) (*.f64 x (pow.f64 x #s(literal 6 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1/21 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) (sqrt.f64 #s(literal 1/21 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 1/441 binary64)))
(fabs.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/21 binary64)) (pow.f64 x #s(literal 7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 2/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 2/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
Outputs
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
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(expm1.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))

eval193.0ms (2%)

Compiler

Compiled 21072 to 3753 computations (82.2% saved)

prune152.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New105161057
Fresh000
Picked505
Done000
Total105661062
Accuracy
100.0%
Counts
1062 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.0%
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
39.9%
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
88.2%
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
88.6%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
65.4%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
46.6%
(fabs.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Compiler

Compiled 140 to 116 computations (17.1% saved)

simplify24.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
cost-diff256
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(pow.f64 x #s(literal 7 binary64))
cost-diff0
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
cost-diff0
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(PI.f64)
cost-diff0
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
Rules
76×fma-define
47×associate-*l*
42×associate-*r*
39×*-commutative
16×distribute-lft-out
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030455
153451
299451
3194442
4308439
5339439
6343439
7344439
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
x
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 7 binary64))
x
#s(literal 7 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2/3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))
#s(literal 2 binary64)
(/.f64 x (sqrt.f64 (PI.f64)))
Outputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2/3 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
x
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/21 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))
#s(literal 1/21 binary64)
(pow.f64 x #s(literal 7 binary64))
x
#s(literal 7 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2/3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))
#s(literal 2 binary64)
(/.f64 x (sqrt.f64 (PI.f64)))

localize353.0ms (3.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
accuracy99.8%
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy99.6%
(/.f64 x (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy100.0%
(PI.f64)
accuracy99.9%
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
accuracy99.9%
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(PI.f64)
accuracy99.6%
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy100.0%
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
accuracy100.0%
(PI.f64)
accuracy99.8%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(PI.f64)
accuracy99.9%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
accuracy99.8%
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))
Results
285.0ms256×0valid
Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-pow: 17.0ms (31% of total)
ival-mult: 16.0ms (29.1% of total)
ival-div: 8.0ms (14.6% of total)
...c/correct-round.rkt:119:19: 7.0ms (12.7% of total)
ival-add: 3.0ms (5.5% of total)
ival-sqrt: 2.0ms (3.6% of total)
ival-pi: 1.0ms (1.8% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
11 → 84
Calls
Call 1
Inputs
#<alt (pow.f64 (PI.f64) #s(literal -1/2 binary64))>
#<alt (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)>
#<alt (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))>
#<alt (pow.f64 x #s(literal 7 binary64))>
#<alt (+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))>
#<alt (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 x (sqrt.f64 (PI.f64)))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* (pow (PI) -1/2) (+ (* 2 x) (* 2/3 (pow x 3))))
0.0ms
x
@-inf
(* (pow (PI) -1/2) (+ (* 2 x) (* 2/3 (pow x 3))))
0.0ms
x
@0
(* (pow (PI) -1/2) (+ (* 2 x) (* 2/3 (pow x 3))))
0.0ms
x
@-inf
(pow x 7)
0.0ms
x
@inf
(+ (/ (* 2/3 (pow x 3)) (sqrt (PI))) (* 2 (/ x (sqrt (PI)))))

rewrite221.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
908×log1p-expm1-u
194×associate-*r*
190×add-cube-cbrt
189×expm1-log1p-u
188×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030268
1465240
26640240
Stop Event
node limit
Counts
11 → 452
Calls
Call 1
Inputs
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
(pow.f64 x #s(literal 7 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)))
(log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
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(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (PI.f64))) (/.f64 (*.f64 x (cbrt.f64 #s(literal 2/3 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))

simplify355.0ms (3.7%)

Algorithm
egg-herbie
Rules
481×*-commutative
459×fma-neg
339×div-sub
307×associate-*r/
307×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084021549
1197020273
2538720237
Stop Event
node limit
Counts
536 → 483
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
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(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (PI.f64))) (/.f64 (*.f64 x (cbrt.f64 #s(literal 2/3 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
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(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
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(fma.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4/9 binary64)) (PI.f64))) (/.f64 (*.f64 x (cbrt.f64 #s(literal 2/3 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 4/9 binary64) (PI.f64)))) (*.f64 x (/.f64 (cbrt.f64 #s(literal 2/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 4/9 binary64) (PI.f64)))) (*.f64 x (/.f64 (cbrt.f64 #s(literal 2/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) #s(literal -1 binary64))
(/.f64 x (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (PI.f64)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 x (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(/.f64 x (sqrt.f64 (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(/.f64 x (sqrt.f64 (PI.f64)))

eval203.0ms (2.1%)

Compiler

Compiled 13123 to 2142 computations (83.7% saved)

prune482.0ms (5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New8433846
Fresh101
Picked055
Done000
Total8448852
Accuracy
100.0%
Counts
852 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.0%
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
39.9%
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
64.9%
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
88.2%
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
65.1%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
88.6%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
65.4%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
88.6%
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
Compiler

Compiled 87 to 70 computations (19.5% saved)

simplify16.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 (sqrt.f64 (PI.f64)) x)
cost-diff0
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
cost-diff0
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(PI.f64)
cost-diff0
(pow.f64 (PI.f64) #s(literal -1/4 binary64))
cost-diff6592
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 1 binary64) (PI.f64))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
Rules
63×associate-*r*
54×fma-define
37×associate-*l*
28×*-commutative
distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025300
154286
2121286
3229286
4294286
5298286
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
x
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2/3 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
#s(literal 2 binary64)
(/.f64 (sqrt.f64 (PI.f64)) x)
(sqrt.f64 (PI.f64))
(PI.f64)
x
Outputs
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
x
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2/3 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(pow.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
#s(literal 2 binary64)
(/.f64 (sqrt.f64 (PI.f64)) x)
(sqrt.f64 (PI.f64))
(PI.f64)
x

localize109.0ms (1.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(PI.f64)
accuracy99.6%
(/.f64 (sqrt.f64 (PI.f64)) x)
accuracy99.6%
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(PI.f64)
accuracy99.7%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x))
accuracy99.5%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy99.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
accuracy99.9%
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
accuracy99.7%
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))
Results
83.0ms256×0valid
Compiler

Compiled 98 to 21 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-div: 24.0ms (44.3% of total)
ival-mult: 10.0ms (18.4% of total)
ival-pow: 10.0ms (18.4% of total)
ival-sqrt: 4.0ms (7.4% of total)
...c/correct-round.rkt:119:19: 4.0ms (7.4% of total)
ival-pi: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series64.0ms (0.7%)

Counts
9 → 72
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 (PI.f64) #s(literal -1/4 binary64))>
#<alt (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))>
#<alt (/.f64 (sqrt.f64 (PI.f64)) x)>
#<alt (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))>
Calls

24 calls:

TimeVariablePointExpression
51.0ms
x
@0
(* (pow (PI) -1/4) (* 2 x))
1.0ms
x
@0
(* x (* (sqrt (/ 1 (PI))) (+ (* 2/3 (pow x 2)) 2)))
1.0ms
x
@inf
(* x (* (sqrt (/ 1 (PI))) (+ (* 2/3 (pow x 2)) 2)))
1.0ms
x
@0
(* (pow (PI) -1/4) (* (pow (PI) -1/4) (* 2 x)))
1.0ms
x
@inf
(* (pow (PI) -1/4) (* 2 x))

rewrite168.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
983×log1p-expm1-u
470×expm1-log1p-u
355×prod-diff
193×associate-*r*
163×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025232
1388188
25137188
Stop Event
node limit
Counts
9 → 227
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (PI.f64) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))
(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x))) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x)))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (exp.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/8 binary64)) (pow.f64 (PI.f64) #s(literal -1/8 binary64)))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(+.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify148.0ms (1.5%)

Algorithm
egg-herbie
Rules
615×associate-/r*
543×fma-define
340×associate-/l*
338×associate-*r*
329×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04829667
110259019
232598502
Stop Event
node limit
Counts
299 → 292
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
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(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) x))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (cbrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(+.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
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(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4/3 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4/3 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64) #s(literal -4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) #s(literal 8 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4/3 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4/3 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) #s(literal -4 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64) #s(literal -4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(+.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(fma.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))

eval94.0ms (1%)

Compiler

Compiled 7683 to 1636 computations (78.7% saved)

prune127.0ms (1.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5174521
Fresh000
Picked213
Done145
Total5209529
Accuracy
100.0%
Counts
529 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (PI.f64)))
65.0%
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
39.9%
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
64.9%
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
64.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))))
64.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))))
88.6%
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
65.4%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
88.6%
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
Compiler

Compiled 473 to 196 computations (58.6% saved)

regimes37.0ms (0.4%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(fabs.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
Outputs
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
Calls

5 calls:

8.0ms
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
7.0ms
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
7.0ms
(fabs.f64 x)
7.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
6.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
99.9%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
99.9%1(fabs.f64 x)
Compiler

Compiled 202 to 81 computations (59.9% saved)

regimes7.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(fabs.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
Outputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64)))))
Outputs
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) x)))
Outputs
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
Outputs
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
88.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -0.4b remaining (-2%)

Threshold costs -0.4b (-2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))))
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
65.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch45.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
1.0215244729424068e-5
1034951649217.2512
Results
34.0ms160×0valid
Compiler

Compiled 322 to 251 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 18.0ms (62.2% of total)
ival-div: 4.0ms (13.8% of total)
ival-add: 2.0ms (6.9% of total)
ival-fabs: 2.0ms (6.9% of total)
ival-pi: 1.0ms (3.5% of total)
ival-sqrt: 1.0ms (3.5% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
1.0215244729424068e-5
1034951649217.2512
Results
29.0ms160×0valid
Compiler

Compiled 332 to 251 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 12.0ms (49.5% of total)
ival-div: 6.0ms (24.8% of total)
ival-add: 2.0ms (8.3% of total)
ival-fabs: 2.0ms (8.3% of total)
ival-pi: 1.0ms (4.1% of total)
ival-sqrt: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
15×*-commutative
+-commutative
1-exp
fabs-div
fabs-mul
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062444
192444
295444
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
Outputs
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 x x))))))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))

soundness1.4s (14.4%)

Rules
983×log1p-expm1-u
657×fma-neg
629×associate-*r*
620×associate-*l*
596×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054792
1168576
2389388
32082356
46561356
083721372
1191318248
2589118244
025232
1388188
25137188
040554
1641392
076421477
1163818058
2622516706
084021549
1197020273
2538720237
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1234 to 332 computations (73.1% saved)

preprocess104.0ms (1.1%)

Remove

(abs x)

Compiler

Compiled 630 to 362 computations (42.5% saved)

end0.0ms (0%)

Profiling

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