Metrics for Jmat.Real.erfi, branch x greater than or equal to 5

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 107 to 71 computations (33.6% 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-exp: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

ival-fabs: 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)

sample5.0s (37.4%)

Results

4.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-div: 1.9s (51.2% of total)

ival-mult: 1.2s (33% of total)

ival-add: 175.0ms (4.7% of total)

ival-exp: 95.0ms (2.5% of total)

const: 90.0ms (2.4% of total)

ival-sqrt: 77.0ms (2.1% of total)

ival-fabs: 57.0ms (1.5% of total)

ival->=: 50.0ms (1.3% of total)

ival-pi: 46.0ms (1.2% of total)

backward-pass: 4.0ms (0.1% of total)

Bogosity

preprocess78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

702×	`times-frac`
682×	`distribute-rgt-in`
667×	`distribute-lft-in`
349×	`distribute-rgt-neg-in`
337×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	1432
1	216	776
2	534	560
3	2417	505

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))))))))

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 3/4 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 #s(literal 15/8 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 15/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64)) (*.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 3/4 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 #s(literal 15/8 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 15/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64)) (*.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 3/4 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 #s(literal 15/8 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 15/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64)) (*.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))))))))
(.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x)))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 3/4 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 #s(literal 15/8 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(.f64 (fma.f64 #s(literal 15/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64)) (*.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))))))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal -15/8 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64))))

Symmetry

(abs x)

explain1.4s (10.3%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))`
-	-	`(.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))`
-	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))`
-	-	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
-	-	`(sqrt.f64 (PI.f64))`
-	-	(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))`
-	-	`(fabs.f64 x)`
-	-	`#s(literal 4 binary64)`
-	-	`(*.f64 (fabs.f64 x) (fabs.f64 x))`
-	-	`(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))`
-	-	`(PI.f64)`
-	-	`#s(literal 15 binary64)`
-	-	`(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))`
-	-	`(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(/.f64 #s(literal 1 binary64) (fabs.f64 x))`
-	-	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))`
-	-	`(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 8 binary64)`
-	-	`(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))`
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`

Results

1.0s

512×

valid

Compiler

Compiled 1174 to 727 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 934.0ms

ival-div: 607.0ms (65% of total)

ival-mult: 262.0ms (28.1% of total)

const: 28.0ms (3% of total)

ival-add: 22.0ms (2.4% of total)

ival-sqrt: 5.0ms (0.5% of total)

ival-pi: 3.0ms (0.3% of total)

ival-exp: 3.0ms (0.3% of total)

ival-fabs: 3.0ms (0.3% of total)

backward-pass: 1.0ms (0.1% of total)

eval5.0ms (0%)

Compiler: Compiled 221 to 138 computations (37.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))

Status

Accuracy

Program

▶

100.0%

(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize413.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
✓	accuracy	98.6%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Rules

2282×	`fma-define`
406×	`distribute-lft-out`
261×	`times-frac`
255×	`associate-*r/`
226×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	506
1	45	506
2	67	506
3	133	506
4	280	506
5	457	506
6	585	506
7	938	506
8	1538	506
9	2955	506
10	3721	506
11	4148	506
12	4254	506
13	4297	506
14	4299	506
15	5593	506
16	5593	506
17	5620	506
18	5620	506
19	5620	506
20	5620	506

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 x x))
(*.f64 x x)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
#s(literal 3/4 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
#s(literal 5 binary64)
(fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))
#s(literal 15/8 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)

Outputs
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (fabs.f64 x)))) (sqrt.f64 (PI.f64))))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))) (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(*.f64 x x)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
#s(literal 3/4 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
#s(literal 5 binary64)
(fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))
#s(literal 15/8 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)

Results

127.0ms

256×

valid

Compiler

Compiled 144 to 81 computations (43.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-div: 36.0ms (36% of total)

ival-pow: 28.0ms (28% of total)

ival-fma: 15.0ms (15% of total)

ival-add: 6.0ms (6% of total)

ival-mult: 5.0ms (5% of total)

const: 4.0ms (4% of total)

ival-exp: 2.0ms (2% of total)

ival-sqrt: 2.0ms (2% of total)

ival-pi: 1.0ms (1% of total)

ival-fabs: 1.0ms (1% of total)

backward-pass: 0.0ms (0% of total)

series30.0ms (0.2%)

Counts

7 → 60

Calls

Call 1

Inputs
#<alt (sqrt.f64 (PI.f64))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))>
#<alt (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))>
#<alt (*.f64 x x)>
#<alt (PI.f64)>

Outputs
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (.f64 #s(literal 5/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (.f64 #s(literal 5/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(pow (/ 1 (fabs x)) 5)
3.0ms	x	@	-inf	(pow (/ 1 (fabs x)) 7)
3.0ms	x	@	inf	(* (/ (exp (* x x)) (sqrt (PI))) (+ (* 3/4 (pow (/ 1 (fabs x)) 5)) (+ (* 15/8 (pow (/ 1 (fabs x)) 7)) (/ (+ 1 (/ 1/2 (* x x))) (fabs x)))))
2.0ms	x	@	0	(* (/ (exp (* x x)) (sqrt (PI))) (+ (* 3/4 (pow (/ 1 (fabs x)) 5)) (+ (* 15/8 (pow (/ 1 (fabs x)) 7)) (/ (+ 1 (/ 1/2 (* x x))) (fabs x)))))
2.0ms	x	@	-inf	(* (/ (exp (* x x)) (sqrt (PI))) (+ (* 3/4 (pow (/ 1 (fabs x)) 5)) (+ (* 15/8 (pow (/ 1 (fabs x)) 7)) (/ (+ 1 (/ 1/2 (* x x))) (fabs x)))))

rewrite280.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1085×	`log1p-expm1-u`
477×	`prod-diff`
165×	`expm1-log1p-u`
163×	`add-exp-log`
163×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	196
1	384	148
2	5079	148

Stop Event

1×	node limit

Counts

7 → 147

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(*.f64 x x)
(PI.f64)

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.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 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5 binary64)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -5 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -5 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -7 binary64)))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -7 binary64))) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 14 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 14 binary64))) (cbrt.f64 (pow.f64 x #s(literal -7 binary64))))
(*.f64 (pow.f64 x #s(literal -7/2 binary64)) (pow.f64 x #s(literal -7/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 7 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 7 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 7 binary64)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 14 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -7 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -7 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -7 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -7 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/4 binary64))) (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/4 binary64)) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (*.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))))
(/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64))))))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (sqrt.f64 (PI.f64))))))
(exp.f64 (*.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 2 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 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-define`
635×	`distribute-lft-in`
605×	`distribute-rgt-in`
401×	`associate-*r/`
305×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	7108
1	754	6922
2	2579	6563

Stop Event

1×	node limit

Counts

207 → 193

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))))
(/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 (PI.f64))))))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (sqrt.f64 (PI.f64))))))
(exp.f64 (*.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 2 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 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 #s(literal 3/2 binary64) (fabs.f64 x))))))) (pow.f64 x #s(literal 2 binary64)))
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(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(+.f64 (PI.f64) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(PI.f64)

eval207.0ms (1.6%)

Compiler: Compiled 7932 to 5027 computations (36.6% saved)

prune82.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	209	4	213
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	4	214

Accuracy

100.0%

Counts

214 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
▶	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))

Compiler

Compiled 71 to 60 computations (15.5% saved)

localize616.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
✓	accuracy	99.2%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
✓	accuracy	99.2%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
✓	accuracy	99.1%	(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))

Rules

544×	`fma-define`
219×	`associate-r`
169×	`associate-*r/`
166×	`associate-l`
120×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	974
1	71	848
2	160	848
3	547	848
4	1399	848
5	1737	848
6	1818	848
7	1883	848
8	1907	848
9	1907	848
10	1987	848
11	2315	848
12	2327	848

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(fabs.f64 x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.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 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(fabs.f64 x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(fabs.f64 x)
x
#s(literal 3 binary64)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #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 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
#s(literal 15/8 binary64)
(pow.f64 (fabs.f64 x) #s(literal 7 binary64))
(fabs.f64 x)
x
#s(literal 7 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
#s(literal 3/4 binary64)
(pow.f64 (fabs.f64 x) #s(literal 5 binary64))
#s(literal 5 binary64)
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(fabs.f64 x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(fabs.f64 x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(fabs.f64 x)
x
#s(literal 3 binary64)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #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 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
#s(literal 15/8 binary64)
(pow.f64 (fabs.f64 x) #s(literal 7 binary64))
(fabs.f64 x)
x
#s(literal 7 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
#s(literal 3/4 binary64)
(pow.f64 (fabs.f64 x) #s(literal 5 binary64))
#s(literal 5 binary64)
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Results

416.0ms

256×

valid

Compiler

Compiled 274 to 180 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-pow: 205.0ms (58.3% of total)

ival-div: 74.0ms (21% of total)

ival-mult: 26.0ms (7.4% of total)

ival-sqrt: 21.0ms (6% of total)

const: 9.0ms (2.6% of total)

ival-add: 8.0ms (2.3% of total)

ival-exp: 6.0ms (1.7% of total)

ival-fabs: 2.0ms (0.6% of total)

ival-pi: 1.0ms (0.3% of total)

backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts

7 → 24

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))>
#<alt (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))>
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))>

Outputs
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ (sqrt (/ 1 (PI))) (* (pow x 2) (fabs x)))
1.0ms	x	@	inf	(/ (sqrt (/ 1 (PI))) (pow (fabs x) 3))
1.0ms	x	@	-inf	(/ (sqrt (/ 1 (PI))) (pow (fabs x) 3))
1.0ms	x	@	0	(/ (sqrt (/ 1 (PI))) (pow (fabs x) 3))
1.0ms	x	@	0	(/ (sqrt (/ 1 (PI))) (* (pow x 2) (fabs x)))

rewrite151.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log1p-expm1-u`
755×	`expm1-log1p-u`
672×	`log-prod`
206×	`expm1-undefine`
206×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	242
1	362	130
2	4584	130

Stop Event

1×	node limit

Counts

7 → 248

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))

Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal -7 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal -7 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal -7 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal -7 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal -7 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))
(*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))
(.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))) (cbrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64)))) (cbrt.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))))
(*.f64 #s(literal -15/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64))
(pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 8/15 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(sqrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal -7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) 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))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (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 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 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 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) 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))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (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 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 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 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) x)
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (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 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 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 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify164.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

470×	`fma-define`
447×	`distribute-lft-neg-in`
358×	`associate-*r/`
286×	`associate-/l*`
249×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	383	7460
1	709	7094
2	1950	6998
3	5769	6924

Stop Event

1×	node limit

Counts

272 → 200

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
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(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (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 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 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 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) x)
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (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 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 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 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
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(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 6 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (pow.f64 x #s(literal 6 binary64)))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 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 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 3 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 x #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))

eval59.0ms (0.4%)

Compiler: Compiled 3432 to 2691 computations (21.6% saved)

prune64.0ms (0.5%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	189	32	221
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	193	32	225

Accuracy

100.0%

Counts

225 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
	1.8%	(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
	1.8%	(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
	1.8%	(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)
	1.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
▶	1.6%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
	1.8%	(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
▶	100.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
	1.7%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
	1.8%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
	1.8%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (sqrt.f64 (PI.f64)) x)))
▶	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)))
	1.7%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 x)))))
	1.6%	(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
	1.7%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.6%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.6%	(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.7%	(.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
	1.8%	(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
	1.7%	(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
	1.8%	(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
▶	1.7%	(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))

Compiler

Compiled 836 to 750 computations (10.3% saved)

localize1.7s (12.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
✓	cost-diff	6400	(exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
✓	cost-diff	12928	(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	80.5%	(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
✓	accuracy	72.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))

Rules

585×	`div-sub`
489×	`associate-r`
295×	`associate-l`
288×	`associate-*r/`
251×	`associate-+r-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	958
1	89	920
2	240	916
3	850	904
4	2047	904
5	2926	904
6	3979	904
7	4948	904
8	7484	904

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #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 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
#s(literal 15/8 binary64)
(pow.f64 x #s(literal 7 binary64))
x
#s(literal 7 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs.f64 x)
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
#s(literal 3/4 binary64)
(pow.f64 (fabs.f64 x) #s(literal 5 binary64))
#s(literal 5 binary64)
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
#s(literal 1/2 binary64)
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 1 binary64)

Outputs
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #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 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
#s(literal 15/8 binary64)
(pow.f64 x #s(literal 7 binary64))
x
#s(literal 7 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs.f64 x)
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
#s(literal 3/4 binary64)
(pow.f64 (fabs.f64 x) #s(literal 5 binary64))
#s(literal 5 binary64)
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(literal 1/2 binary64)
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64))))
(log1p.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 1 binary64)

Results

1.3s	253×	1	valid
4.0ms	3×	0	valid

Compiler

Compiled 298 to 206 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-pow: 639.0ms (53.6% of total)

ival-mult: 224.0ms (18.8% of total)

ival-div: 121.0ms (10.2% of total)

backward-pass: 78.0ms (6.5% of total)

ival-exp: 47.0ms (3.9% of total)

const: 20.0ms (1.7% of total)

ival-add: 19.0ms (1.6% of total)

ival-sqrt: 13.0ms (1.1% of total)

ival-log1p: 11.0ms (0.9% of total)

ival-fabs: 9.0ms (0.8% of total)

ival-pi: 5.0ms (0.4% of total)

ival-cbrt: 4.0ms (0.3% of total)

ival-sub: 3.0ms (0.3% of total)

series15.0ms (0.1%)

Counts

5 → 48

Calls

Call 1

Inputs
#<alt (-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))>
#<alt (cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (cbrt.f64 #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (cbrt.f64 #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (cbrt.f64 #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (cbrt.f64 #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(- (exp (log (+ 1 (/ (* (pow x -3) 1/2) (sqrt (PI)))))) 1)
3.0ms	x	@	-inf	(cbrt (pow (/ (* (pow x -3) 1/2) (sqrt (PI))) 3))
1.0ms	x	@	0	(/ 15/8 (pow x 7))
0.0ms	x	@	inf	(- (exp (log (+ 1 (/ (* (pow x -3) 1/2) (sqrt (PI)))))) 1)
0.0ms	x	@	-inf	(- (exp (log (+ 1 (/ (* (pow x -3) 1/2) (sqrt (PI)))))) 1)

rewrite197.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`log1p-expm1-u`
599×	`prod-diff`
176×	`expm1-log1p-u`
174×	`pow1`
169×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	153
1	434	142
2	5245	142

Stop Event

1×	node limit

Counts

5 → 215

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))

Outputs
(+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -6 binary64))) (.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal -3 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))
(*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))
(.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))) (cbrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64)))) (cbrt.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))))
(*.f64 #s(literal -15/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64))
(pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 8/15 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(sqrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal -7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(+.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))) (sqrt.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) #s(literal 1 binary64)))

simplify335.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

484×	`times-frac`
411×	`fma-define`
407×	`exp-prod`
308×	`associate-/l*`
274×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	11380
1	723	10322
2	2062	10258
3	7562	10258

Stop Event

1×	node limit

Counts

263 → 211

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (cbrt.f64 #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (cbrt.f64 #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (cbrt.f64 #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (cbrt.f64 #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
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(pow.f64 (pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 8/15 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(sqrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal -7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(+.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))) (sqrt.f64 (log1p.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
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(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) #s(literal 1 binary64)))
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eval122.0ms (0.9%)

Compiler: Compiled 4900 to 3686 computations (24.8% saved)

prune79.0ms (0.6%)

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	272	14	286
Fresh	6	21	27
Picked	2	3	5
Done	0	0	0
Total	280	38	318

Accuracy

100.0%

Counts

318 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
	1.7%	(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
	1.8%	(pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
	1.8%	(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
	1.8%	(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
	1.8%	(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)
	1.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
	1.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
	1.6%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
	0.5%	(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
	1.6%	(-.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	1.6%	(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	1.6%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	1.7%	(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
	1.8%	(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
	1.8%	(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
✓	100.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
	1.7%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
	1.8%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (sqrt.f64 (PI.f64)) x)))
	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
✓	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
▶	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 x)))))
	1.7%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
✓	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.6%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.6%	(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.7%	(.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.8%	(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
	1.7%	(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
	1.7%	(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
▶	1.8%	(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
	1.7%	(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64)))

Compiler

Compiled 951 to 861 computations (9.5% saved)

localize523.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
✓	cost-diff	12800	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
✓	cost-diff	12800	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))))
✓	cost-diff	12800	(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
✓	accuracy	97.3%	(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)))
✓	accuracy	97.2%	(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	33.4%	(log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
✓	accuracy	31.9%	(log1p.f64 (pow.f64 x #s(literal 3 binary64)))

Rules

1048×	`fma-define`
632×	`fma-neg`
389×	`times-frac`
379×	`sub-neg`
330×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	573
1	73	549
2	139	527
3	290	515
4	424	515
5	594	515
6	929	515
7	1706	515
8	3522	515
9	4951	515
10	6934	515

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(.f64 (exp.f64 (.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (log.f64 x))
#s(literal 3 binary64)
(log.f64 x)
x
#s(literal -1 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 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

Outputs
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(log.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(.f64 (exp.f64 (.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -3 binary64) (log.f64 x))
(*.f64 #s(literal 3 binary64) (log.f64 x))
#s(literal 3 binary64)
(log.f64 x)
x
#s(literal -1 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 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(pow.f64 x #s(literal 3 binary64))
(log1p.f64 (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
x
#s(literal 3 binary64)

Results

312.0ms

256×

valid

Compiler

Compiled 193 to 142 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-div: 73.0ms (29% of total)

ival-pow: 64.0ms (25.5% of total)

ival-mult: 34.0ms (13.5% of total)

ival-log1p: 18.0ms (7.2% of total)

ival-sqrt: 18.0ms (7.2% of total)

ival-exp: 14.0ms (5.6% of total)

ival-log: 11.0ms (4.4% of total)

ival-expm1: 8.0ms (3.2% of total)

const: 7.0ms (2.8% of total)

ival-sub: 2.0ms (0.8% of total)

ival-pi: 1.0ms (0.4% of total)

backward-pass: 0.0ms (0% of total)

series80.0ms (0.6%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (log1p.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))>
#<alt (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))>
#<alt (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)))>
#<alt (exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))))>
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))>

Outputs
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>

Calls

21 calls:

Time	Variable		Point	Expression
38.0ms	x	@	0	(log (/ (* (pow x -3) 1/2) (sqrt (PI))))
17.0ms	x	@	-inf	(log (/ (* (pow x -3) 1/2) (sqrt (PI))))
7.0ms	x	@	-inf	(log (+ 1 (pow x 3)))
6.0ms	x	@	inf	(log (/ (* (pow x -3) 1/2) (sqrt (PI))))
3.0ms	x	@	0	(log (+ 1 (pow x 3)))

rewrite164.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`log1p-expm1-u`
694×	`expm1-log1p-u`
379×	`prod-diff`
151×	`add-exp-log`
149×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	150
1	385	144
2	4774	144

Stop Event

1×	node limit

Counts

7 → 307

Calls

Call 1

Inputs
(log1p.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(+.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)))) (log.f64 (.f64 x (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))) (fma.f64 (log.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64) (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64))))))))
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(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) 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))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) x) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (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 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal -6 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))

simplify171.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

545×	`distribute-lft-in`
291×	`associate-l`
286×	`associate-r`
244×	`distribute-lft-neg-out`
218×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	550	12079
1	1232	11115
2	4159	10830

Stop Event

1×	node limit

Counts

391 → 351

Calls

Call 1

Inputs
(pow.f64 x #s(literal 3 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) 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))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) x) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (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 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal -6 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))

Outputs
(pow.f64 x #s(literal 3 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64))) #s(literal -1/2 binary64)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -3 binary64) (neg.f64 (log.f64 x)))
(*.f64 #s(literal 3 binary64) (log.f64 x))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(-.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(-.f64 (+.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (fma.f64 #s(literal -3 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(fma.f64 #s(literal -3 binary64) (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(fma.f64 #s(literal -3 binary64) (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(fma.f64 #s(literal -3 binary64) (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(fma.f64 #s(literal -3 binary64) (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(fma.f64 #s(literal -3 binary64) (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
(fma.f64 #s(literal -3 binary64) (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal -3 binary64) (log.f64 x)))
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(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) 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))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) x) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(.f64 (.f64 x (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))))
(.f64 x (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))))
(/.f64 (.f64 x (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) 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))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal -6 binary64))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))

eval107.0ms (0.8%)

Compiler: Compiled 5713 to 4228 computations (26% saved)

prune77.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	341	10	351
Fresh	30	0	30
Picked	4	1	5
Done	3	0	3
Total	378	11	389

Accuracy

100.0%

Counts

389 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.0%	(pow.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) #s(literal 3 binary64))
	72.0%	(/.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
	72.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
✓	1.6%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	72.0%	(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
	72.0%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
	72.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (sqrt.f64 x) #s(literal -6 binary64))))
	72.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
	72.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2 binary64)))))
	85.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (sqrt.f64 (pow.f64 x #s(literal -6 binary64)))))
	100.0%	(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))

Compiler

Compiled 994 to 756 computations (23.9% saved)

regimes46.0ms (0.3%)

Counts

62 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (sqrt.f64 (pow.f64 x #s(literal -6 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (sqrt.f64 x) #s(literal -6 binary64))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 x)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)))
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))

Calls

3 calls:

18.0ms

(fabs.f64 x)

18.0ms

5.0ms

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%	1	`(fabs.f64 x)`

Compiler

Compiled 109 to 72 computations (33.9% saved)

regimes24.0ms (0.2%)

Counts

36 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (sqrt.f64 (pow.f64 x #s(literal -6 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (sqrt.f64 x) #s(literal -6 binary64))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 x)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (sqrt.f64 (pow.f64 x #s(literal -6 binary64)))))

Calls

2 calls:

10.0ms	x
10.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
85.0%	1	`x`
85.0%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes9.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64)) (PI.f64)) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))

Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
72.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
1.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	131
1	39	131

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (sqrt.f64 (pow.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (sqrt.f64 (pow.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)

soundness1.0s (7.6%)

Rules

895×	`fma-define`
863×	`log1p-expm1-u`
755×	`log1p-expm1-u`
755×	`expm1-log1p-u`
702×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	1432
1	216	776
2	534	560
3	2417	505
0	29	150
1	385	144
2	4774	144
0	383	7460
1	709	7094
2	1950	6998
3	5769	6924
0	26	242
1	362	130
2	4584	130
0	381	7108
1	754	6922
2	2579	6563

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 871 to 684 computations (21.5% saved)

preprocess54.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 330 to 238 computations (27.9% saved)

analyze1.0ms (0%)

sample5.0s (37.4%)

preprocess78.0ms (0.6%)

explain1.4s (10.3%)

eval5.0ms (0%)

prune1.0ms (0%)

localize413.0ms (3.1%)

series30.0ms (0.2%)

rewrite280.0ms (2.1%)

simplify128.0ms (1%)

eval207.0ms (1.6%)

prune82.0ms (0.6%)

localize616.0ms (4.6%)

series21.0ms (0.2%)

rewrite151.0ms (1.1%)

simplify164.0ms (1.2%)

eval59.0ms (0.4%)

prune64.0ms (0.5%)

localize1.7s (12.4%)

series15.0ms (0.1%)

rewrite197.0ms (1.5%)

simplify335.0ms (2.5%)

eval122.0ms (0.9%)

prune79.0ms (0.6%)

localize523.0ms (3.9%)

series80.0ms (0.6%)

rewrite164.0ms (1.2%)

simplify171.0ms (1.3%)

eval107.0ms (0.8%)

prune77.0ms (0.6%)

regimes46.0ms (0.3%)

regimes24.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes1.0ms (0%)

simplify3.0ms (0%)

soundness1.0s (7.6%)

preprocess54.0ms (0.4%)

end0.0ms (0%)

Profiling