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)

sample3.0s (35.1%)

Results

2.9s	8198×	body	256	infinite
22.0ms	58×	body	256	valid

Bogosity

preprocess617.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

1046×	`distribute-lft-out`
844×	`unswap-sqr`
732×	`associate-/l*`
718×	`distribute-lft-in`
712×	`associate-+r+`

Problems

255×	No Errors
1×	`(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	58	1071
1	206	579
2	459	417
3	1776	378
4	4587	366
5	5834	354

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 (neg.f64 x))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 (neg.f64 x))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 (neg.f64 x))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))))))

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

Symmetry

(abs x)

Compiler

Compiled 639 to 398 computations (37.7% saved)

eval4.0ms (0%)

Compiler: Compiled 284 to 169 computations (40.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Status

Accuracy

Program

▶

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

▶

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 64 to 48 computations (25% saved)

localize161.0ms (1.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.5%	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓	99.4%	(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
✓	99.2%	(/.f64 1/2 (*.f64 x x))
✓	98.4%	(sqrt.f64 (PI.f64))

Compiler

Compiled 141 to 78 computations (44.7% saved)

series6.0ms (0.1%)

Counts

4 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
1.0ms	x	@	0	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
1.0ms	x	@	0	(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
1.0ms	x	@	-inf	(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
1.0ms	x	@	0	(/.f64 1/2 (*.f64 x x))

rewrite125.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`log-prod`
754×	`log1p-expm1-u`
754×	`expm1-log1p-u`
550×	`pow-prod-down`
452×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	207	55
2	2571	55

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))
(/.f64 1/2 (*.f64 x x))
(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))

Outputs
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(pow.f64 (pow.f64 (PI.f64) 1/6) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(pow.f64 (pow.f64 (PI.f64) 3) 1/6)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (PI.f64))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 1/2 (pow.f64 x -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2)))) 1)
(*.f64 1/2 (pow.f64 x -2))
(.f64 (.f64 1/2 (pow.f64 x -2)) 1)
(.f64 (.f64 1/2 (pow.f64 x -2)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 1/2 (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x -4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 x -2) 1/2)
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 x))
(pow.f64 (*.f64 1/2 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 1/4 (pow.f64 x -4)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)
(pow.f64 (*.f64 (pow.f64 x 2) 2) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 2) 2) 1) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) x)) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) 2)) -1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))
(+.f64 0 (*.f64 3/4 (pow.f64 x -4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))) (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4)))) 1)
(*.f64 3/4 (pow.f64 x -4))
(.f64 (.f64 3/4 (pow.f64 x -4)) 1)
(.f64 (.f64 3/4 (pow.f64 x -4)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 3/4 (pow.f64 x -4)))
(.f64 (cbrt.f64 (.f64 3/4 (pow.f64 x -4))) (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))))
(.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))) (cbrt.f64 (.f64 3/4 (pow.f64 x -4))))
(*.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)) (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)))
(*.f64 -3/4 (/.f64 1 (neg.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 x -4) 3/4)
(*.f64 (pow.f64 x -4) (log.f64 (exp.f64 3/4)))
(pow.f64 (*.f64 3/4 (pow.f64 x -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) 3)
(pow.f64 (/.f64 9/16 (pow.f64 x 8)) 1/2)
(pow.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -4)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)) 2)
(pow.f64 (*.f64 (pow.f64 x 4) 4/3) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 4) 4/3) 1) -1)
(sqrt.f64 (/.f64 9/16 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4)))))
(cbrt.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4))))
(exp.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))))
(exp.f64 (.f64 (log.f64 (.f64 3/4 (pow.f64 x -4))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3/4 (pow.f64 x -4)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 3/4 (pow.f64 x -4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 4/3)) -1))
(log1p.f64 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 2)
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1494×	`log-prod`
1050×	`fma-def`
840×	`unswap-sqr`
664×	`distribute-lft-in`
642×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	2612
1	586	2529
2	1584	2282
3	6518	2282

Stop Event

1×	node limit

Counts

148 → 139

Calls

Call 1

Inputs
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(pow.f64 (pow.f64 (PI.f64) 1/6) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(pow.f64 (pow.f64 (PI.f64) 3) 1/6)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (PI.f64))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 1/2 (pow.f64 x -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2)))) 1)
(*.f64 1/2 (pow.f64 x -2))
(.f64 (.f64 1/2 (pow.f64 x -2)) 1)
(.f64 (.f64 1/2 (pow.f64 x -2)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 1/2 (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x -4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 x -2) 1/2)
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 x))
(pow.f64 (*.f64 1/2 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 1/4 (pow.f64 x -4)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)
(pow.f64 (*.f64 (pow.f64 x 2) 2) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 2) 2) 1) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) x)) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) 2)) -1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))
(+.f64 0 (*.f64 3/4 (pow.f64 x -4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))) (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4)))) 1)
(*.f64 3/4 (pow.f64 x -4))
(.f64 (.f64 3/4 (pow.f64 x -4)) 1)
(.f64 (.f64 3/4 (pow.f64 x -4)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 3/4 (pow.f64 x -4)))
(.f64 (cbrt.f64 (.f64 3/4 (pow.f64 x -4))) (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))))
(.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))) (cbrt.f64 (.f64 3/4 (pow.f64 x -4))))
(*.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)) (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)))
(*.f64 -3/4 (/.f64 1 (neg.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 x -4) 3/4)
(*.f64 (pow.f64 x -4) (log.f64 (exp.f64 3/4)))
(pow.f64 (*.f64 3/4 (pow.f64 x -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) 3)
(pow.f64 (/.f64 9/16 (pow.f64 x 8)) 1/2)
(pow.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -4)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)) 2)
(pow.f64 (*.f64 (pow.f64 x 4) 4/3) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 4) 4/3) 1) -1)
(sqrt.f64 (/.f64 9/16 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4)))))
(cbrt.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4))))
(exp.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))))
(exp.f64 (.f64 (log.f64 (.f64 3/4 (pow.f64 x -4))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3/4 (pow.f64 x -4)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 3/4 (pow.f64 x -4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 4/3)) -1))
(log1p.f64 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 2)
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))

Outputs
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
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(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 3)) 1/3))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 x (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 x (sqrt.f64 (PI.f64)))

eval73.0ms (0.9%)

Compiler: Compiled 4826 to 2777 computations (42.5% saved)

prune19.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	2	140

Accuracy

100.0%

Counts

140 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 128 to 100 computations (21.9% saved)

localize269.0ms (3.2%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 15/8 (pow.f64 x 6))
	99.5%	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
	99.2%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
	99.4%	(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
	99.2%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
✓	90.9%	(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))

Compiler

Compiled 287 to 150 computations (47.7% saved)

series35.0ms (0.4%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
1.0ms	x	@	0	(/.f64 15/8 (pow.f64 x 6))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
0.0ms	x	@	inf	(/.f64 15/8 (pow.f64 x 6))

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`unpow-prod-down`
686×	`log-prod`
599×	`log1p-expm1-u`
598×	`expm1-log1p-u`
458×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	161	32
2	1787	32

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 15/8 (pow.f64 x 6))

Outputs
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) -1)
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 1)
(-.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) (log.f64 (exp.f64 1)))
(*.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) 1)
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) x))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x (PI.f64)) 1/2))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) x))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (PI.f64) x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 x (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2) 3) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) (sqrt.f64 (PI.f64))) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) x) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) (pow.f64 x 2)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 3) 1) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 2) (+.f64 1 (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 2) 1) (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 1))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 2)
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(fma.f64 1 (fma.f64 (sqrt.f64 (PI.f64)) x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) (sqrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) -1)
(+.f64 0 (*.f64 15/8 (pow.f64 x -6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -6)))) 1)
(*.f64 15/8 (pow.f64 x -6))
(.f64 (.f64 15/8 (pow.f64 x -6)) 1)
(.f64 (.f64 15/8 (pow.f64 x -6)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 15/8 (pow.f64 x -6)))
(.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) (cbrt.f64 (.f64 (pow.f64 x -12) 225/64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x -12) 225/64)) (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)) (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)))
(*.f64 -15/8 (/.f64 1 (neg.f64 (pow.f64 x 6))))
(*.f64 -15/8 (pow.f64 (/.f64 1 (neg.f64 (pow.f64 x 6))) 1))
(*.f64 (pow.f64 x -6) 15/8)
(*.f64 (pow.f64 x -6) (log.f64 (exp.f64 15/8)))
(.f64 (pow.f64 1 1/3) (.f64 15/8 (pow.f64 x -6)))
(*.f64 (pow.f64 (cbrt.f64 15/8) 3) (pow.f64 x -6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 2) 3) (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x -12) 225/64) 15/8) 1/3) (cbrt.f64 (pow.f64 x -6)))
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 x -12) 225/64) (cbrt.f64 (.f64 (pow.f64 x -12) 225/64))) 1/3) (cbrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))))
(.f64 (pow.f64 (pow.f64 (.f64 15/8 (pow.f64 x -6)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3))))
(*.f64 (pow.f64 (sqrt.f64 15/8) 2) (pow.f64 x -6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 8/15)) 2) -1) (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)))
(pow.f64 (*.f64 15/8 (pow.f64 x -6)) 1)
(pow.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) 3)
(pow.f64 (*.f64 (pow.f64 x -12) 225/64) 1/2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512) 1/3)
(pow.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)) 2)
(pow.f64 (*.f64 (pow.f64 x 6) 8/15) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 6) 8/15) 1) -1)
(sqrt.f64 (*.f64 (pow.f64 x -12) 225/64))
(log.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512))
(expm1.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -6))))
(exp.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))))
(exp.f64 (.f64 (log.f64 (.f64 15/8 (pow.f64 x -6))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 15/8 (pow.f64 x -6)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 8/15)) -1))
(log1p.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Rules

936×	`log-prod`
692×	`fma-def`
632×	`sqr-pow`
590×	`unswap-sqr`
542×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	256	2396
1	614	2328
2	1580	2316
3	5361	2262

Stop Event

1×	node limit

Counts

108 → 131

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) -1)
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 1)
(-.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) (log.f64 (exp.f64 1)))
(*.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) 1)
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) x))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x (PI.f64)) 1/2))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) x))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (PI.f64) x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 x (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2) 3) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) (sqrt.f64 (PI.f64))) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) x) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) (pow.f64 x 2)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 3) 1) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 2) (+.f64 1 (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 2) 1) (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 1))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 2)
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(fma.f64 1 (fma.f64 (sqrt.f64 (PI.f64)) x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) (sqrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) -1)
(+.f64 0 (*.f64 15/8 (pow.f64 x -6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -6)))) 1)
(*.f64 15/8 (pow.f64 x -6))
(.f64 (.f64 15/8 (pow.f64 x -6)) 1)
(.f64 (.f64 15/8 (pow.f64 x -6)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 15/8 (pow.f64 x -6)))
(.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) (cbrt.f64 (.f64 (pow.f64 x -12) 225/64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x -12) 225/64)) (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)) (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)))
(*.f64 -15/8 (/.f64 1 (neg.f64 (pow.f64 x 6))))
(*.f64 -15/8 (pow.f64 (/.f64 1 (neg.f64 (pow.f64 x 6))) 1))
(*.f64 (pow.f64 x -6) 15/8)
(*.f64 (pow.f64 x -6) (log.f64 (exp.f64 15/8)))
(.f64 (pow.f64 1 1/3) (.f64 15/8 (pow.f64 x -6)))
(*.f64 (pow.f64 (cbrt.f64 15/8) 3) (pow.f64 x -6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 2) 3) (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x -12) 225/64) 15/8) 1/3) (cbrt.f64 (pow.f64 x -6)))
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 x -12) 225/64) (cbrt.f64 (.f64 (pow.f64 x -12) 225/64))) 1/3) (cbrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))))
(.f64 (pow.f64 (pow.f64 (.f64 15/8 (pow.f64 x -6)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3))))
(*.f64 (pow.f64 (sqrt.f64 15/8) 2) (pow.f64 x -6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 8/15)) 2) -1) (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)))
(pow.f64 (*.f64 15/8 (pow.f64 x -6)) 1)
(pow.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) 3)
(pow.f64 (*.f64 (pow.f64 x -12) 225/64) 1/2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512) 1/3)
(pow.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)) 2)
(pow.f64 (*.f64 (pow.f64 x 6) 8/15) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 6) 8/15) 1) -1)
(sqrt.f64 (*.f64 (pow.f64 x -12) 225/64))
(log.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512))
(expm1.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -6))))
(exp.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))))
(exp.f64 (.f64 (log.f64 (.f64 15/8 (pow.f64 x -6))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 15/8 (pow.f64 x -6)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 8/15)) -1))
(log1p.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))

Outputs
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) -1)
(*.f64 x (sqrt.f64 (PI.f64)))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) x))
(*.f64 x (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(*.f64 x (sqrt.f64 (PI.f64)))
(-.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 1)
(*.f64 x (sqrt.f64 (PI.f64)))
(-.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) (log.f64 (exp.f64 1)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) 1)
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) (log.f64 (exp.f64 1)))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 2))))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) x))
(.f64 (cbrt.f64 (PI.f64)) (.f64 x (pow.f64 (PI.f64) 1/6)))
(.f64 x (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x (PI.f64)) 1/2))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (PI.f64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) x))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (.f64 (PI.f64) x) 1/2) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (PI.f64))))
(.f64 (.f64 x (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (cbrt.f64 (PI.f64)) (.f64 x (pow.f64 (PI.f64) 1/6)))
(.f64 x (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(.f64 (.f64 x (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 (PI.f64)) x))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2) 3) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3)) 1/3))
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) (sqrt.f64 (PI.f64))) 1/3) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (PI.f64) (*.f64 (pow.f64 x 2) (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 2) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 (PI.f64)) 3))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 2) (pow.f64 (PI.f64) 3/2))))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) x) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 3))))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) (pow.f64 x 2)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (.f64 (.f64 (PI.f64) (pow.f64 x 2)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 2))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (.f64 (pow.f64 x 2) (.f64 (PI.f64) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 8)))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (PI.f64))) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 3) 1) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 2) (+.f64 1 (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 2) (+.f64 1 (fma.f64 (sqrt.f64 (PI.f64)) x 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (sqrt.f64 (PI.f64)) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (sqrt.f64 (PI.f64)) 1) 2) (+.f64 (*.f64 x (sqrt.f64 (PI.f64))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (sqrt.f64 (PI.f64)) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (sqrt.f64 (PI.f64)) 1) (fma.f64 x (sqrt.f64 (PI.f64)) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 2) 1) (+.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1) 1))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 1)
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 2)
(*.f64 x (sqrt.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 x (sqrt.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(*.f64 x (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 1))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 1) 1))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 3))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(*.f64 x (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(fma.f64 1 (fma.f64 (sqrt.f64 (PI.f64)) x 1) -1)
(*.f64 x (sqrt.f64 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) -1)
(*.f64 x (sqrt.f64 (PI.f64)))
(fma.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) (sqrt.f64 (fma.f64 (sqrt.f64 (PI.f64)) x 1)) -1)
(*.f64 x (sqrt.f64 (PI.f64)))
(+.f64 0 (*.f64 15/8 (pow.f64 x -6)))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -6)))) 1)
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(.f64 (.f64 15/8 (pow.f64 x -6)) 1)
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(.f64 (.f64 15/8 (pow.f64 x -6)) (log.f64 (exp.f64 1)))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(.f64 1 (.f64 15/8 (pow.f64 x -6)))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) (cbrt.f64 (.f64 (pow.f64 x -12) 225/64)))
(.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) (cbrt.f64 (.f64 225/64 (pow.f64 x -12))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x -12) 225/64)) (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)))
(.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) (cbrt.f64 (.f64 225/64 (pow.f64 x -12))))
(*.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)) (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(*.f64 -15/8 (/.f64 1 (neg.f64 (pow.f64 x 6))))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(*.f64 -15/8 (pow.f64 (/.f64 1 (neg.f64 (pow.f64 x 6))) 1))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(*.f64 (pow.f64 x -6) 15/8)
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(*.f64 (pow.f64 x -6) (log.f64 (exp.f64 15/8)))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(.f64 (pow.f64 1 1/3) (.f64 15/8 (pow.f64 x -6)))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(*.f64 (pow.f64 (cbrt.f64 15/8) 3) (pow.f64 x -6))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 2) 3) (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 3))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(.f64 (pow.f64 (sqrt.f64 (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512))) (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512))))
(pow.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 15/8 (pow.f64 x 6)) 3)) 1/6) 4)
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x -12) 225/64) 15/8) 1/3) (cbrt.f64 (pow.f64 x -6)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x -12) 3375/512)) (cbrt.f64 (pow.f64 x -6)))
(.f64 (cbrt.f64 (.f64 3375/512 (pow.f64 x -12))) (cbrt.f64 (pow.f64 x -6)))
(.f64 (pow.f64 (.f64 (.f64 (pow.f64 x -12) 225/64) (cbrt.f64 (.f64 (pow.f64 x -12) 225/64))) 1/3) (cbrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))))
(.f64 (cbrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) (cbrt.f64 (.f64 (.f64 225/64 (pow.f64 x -12)) (cbrt.f64 (.f64 225/64 (pow.f64 x -12))))))
(.f64 (cbrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) (cbrt.f64 (.f64 225/64 (.f64 (pow.f64 x -12) (cbrt.f64 (.f64 225/64 (pow.f64 x -12)))))))
(.f64 (cbrt.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) (cbrt.f64 (.f64 225/64 (.f64 (cbrt.f64 (.f64 225/64 (pow.f64 x -12))) (pow.f64 x -12)))))
(.f64 (pow.f64 (pow.f64 (.f64 15/8 (pow.f64 x -6)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 15/8 (pow.f64 x -6)) 5/2)) (cbrt.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 15/8 (pow.f64 x 6)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 15/8 (pow.f64 x 6)))))
(*.f64 (pow.f64 (sqrt.f64 15/8) 2) (pow.f64 x -6))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 8/15)) 2) -1) (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)))
(.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 8/15)) 2)))
(/.f64 (/.f64 (.f64 1 (cbrt.f64 15/8)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 8/15)) 2)) (pow.f64 x 2))
(/.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 8/15)) 2))
(pow.f64 (*.f64 15/8 (pow.f64 x -6)) 1)
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(pow.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2)) 3)
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x -12) 225/64) 1/2)
(sqrt.f64 (*.f64 225/64 (pow.f64 x -12)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512) 1/3)
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(pow.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)) 2)
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x 6) 8/15) -1)
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(pow.f64 (/.f64 (*.f64 (pow.f64 x 6) 8/15) 1) -1)
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(sqrt.f64 (*.f64 (pow.f64 x -12) 225/64))
(sqrt.f64 (*.f64 225/64 (pow.f64 x -12)))
(log.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -6))))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(exp.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(exp.f64 (.f64 (log.f64 (.f64 15/8 (pow.f64 x -6))) 1))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))) 1) 1))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 15/8) (pow.f64 x 2))) 3))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 15/8 (pow.f64 x -6)))) 1/3))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3))) 2))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 8/15)) -1))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))
(log1p.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))
(*.f64 15/8 (pow.f64 x -6))
(/.f64 15/8 (pow.f64 x 6))

eval464.0ms (5.5%)

Compiler: Compiled 19871 to 11465 computations (42.3% saved)

prune86.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	553	3	556
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	555	3	558

Accuracy

100.0%

Counts

558 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 198 to 156 computations (21.2% saved)

localize548.0ms (6.5%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	99.5%	(/.f64 15/8 (pow.f64 x 6))
✓	99.5%	(*.f64 x (sqrt.f64 (PI.f64)))
	99.2%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
✓	99.5%	(*.f64 (sqrt.f64 (PI.f64)) x)
	99.2%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
	90.9%	(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
✓	99.4%	(.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3)
	99.2%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
✓	90.9%	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))

Compiler

Compiled 456 to 244 computations (46.5% saved)

series51.0ms (0.6%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3)
17.0ms	x	@	-inf	(.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3)
6.0ms	x	@	inf	(.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3)
0.0ms	x	@	inf	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
0.0ms	x	@	0	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))

rewrite127.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`unpow-prod-down`
652×	`log-prod`
517×	`log1p-expm1-u`
517×	`expm1-log1p-u`
462×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	140
1	183	68
2	1861	68

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3)
(*.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 x (sqrt.f64 (PI.f64)))

Outputs
(+.f64 1 (fma.f64 (sqrt.f64 (PI.f64)) x -1))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(*.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) 1)
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) x))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x (PI.f64)) 1/2))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) x))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (PI.f64) x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 x (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(.f64 (pow.f64 (exp.f64 1) (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)) (pow.f64 (exp.f64 1) (*.f64 (log.f64 x) 1)))
(.f64 (pow.f64 (exp.f64 1/3) (.f64 3/2 (log.f64 (PI.f64)))) (pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 x 3))))
(.f64 (pow.f64 (exp.f64 1/3) (.f64 (log.f64 (sqrt.f64 (PI.f64))) 3)) (pow.f64 (exp.f64 1/3) (*.f64 (log.f64 x) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) (sqrt.f64 (PI.f64))) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) x) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) (pow.f64 x 2)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2) 3) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (exp.f64 1))
(/.f64 (pow.f64 (exp.f64 1/3) (exp.f64 (log1p.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (exp.f64 1/3))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 6) 1/6)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1))
(pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (.f64 (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (.f64 (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(pow.f64 (pow.f64 (exp.f64 1) 3) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 1) 1/3) (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 3) 1/3) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) 3) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (.f64 3 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
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(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(exp.f64 (.f64 (log.f64 (exp.f64 1)) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (.f64 (log.f64 (exp.f64 3)) (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(exp.f64 (.f64 (log.f64 (exp.f64 1/3)) (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (PI.f64)) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (PI.f64)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(+.f64 1 (fma.f64 (sqrt.f64 (PI.f64)) x -1))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (exp.f64 1))
(/.f64 (pow.f64 (exp.f64 1/3) (exp.f64 (log1p.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (exp.f64 1/3))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 6) 1/6)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1))
(pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (.f64 (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (.f64 (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(pow.f64 (pow.f64 (exp.f64 1) 3) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 1) 1/3) (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 3) 1/3) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) 3) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (.f64 3 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 1/3) (.f64 3 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(exp.f64 (.f64 (log.f64 (exp.f64 1)) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (.f64 (log.f64 (exp.f64 3)) (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(exp.f64 (.f64 (log.f64 (exp.f64 1/3)) (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (PI.f64)) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (PI.f64)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))

simplify193.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1534×	`fma-def`
1094×	`distribute-lft-in`
1028×	`distribute-rgt-in`
934×	`sqr-pow`
466×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	12604
1	951	12453
2	2448	12369

Stop Event

1×	node limit

Counts

318 → 216

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(+.f64 1 (fma.f64 (sqrt.f64 (PI.f64)) x -1))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(*.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 x (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) 1)
(.f64 (.f64 (sqrt.f64 (PI.f64)) x) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) x))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x (PI.f64)) 1/2))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) x))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (PI.f64) x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 x (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(.f64 (pow.f64 (exp.f64 1) (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)) (pow.f64 (exp.f64 1) (*.f64 (log.f64 x) 1)))
(.f64 (pow.f64 (exp.f64 1/3) (.f64 3/2 (log.f64 (PI.f64)))) (pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 x 3))))
(.f64 (pow.f64 (exp.f64 1/3) (.f64 (log.f64 (sqrt.f64 (PI.f64))) 3)) (pow.f64 (exp.f64 1/3) (*.f64 (log.f64 x) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) (sqrt.f64 (PI.f64))) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (pow.f64 x 2)) x) 1/3) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) (pow.f64 x 2)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
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(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) 3) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (.f64 3 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 1/3) (.f64 3 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(exp.f64 (.f64 (log.f64 (exp.f64 1)) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (.f64 (log.f64 (exp.f64 3)) (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(exp.f64 (.f64 (log.f64 (exp.f64 1/3)) (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (PI.f64)) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (PI.f64)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(+.f64 1 (fma.f64 (sqrt.f64 (PI.f64)) x -1))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (exp.f64 1))
(/.f64 (pow.f64 (exp.f64 1/3) (exp.f64 (log1p.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (exp.f64 1/3))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 6) 1/6)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1))
(pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (.f64 (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (.f64 (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(pow.f64 (pow.f64 (exp.f64 1) 3) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 1) 1/3) (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 3) 1/3) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) 3) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 3))
(pow.f64 (pow.f64 (exp.f64 1/3) (.f64 3 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 1/3) (.f64 3 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(exp.f64 (.f64 (log.f64 (exp.f64 1)) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (.f64 (log.f64 (exp.f64 3)) (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(exp.f64 (.f64 (log.f64 (exp.f64 1/3)) (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (PI.f64)) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 (PI.f64)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (PI.f64)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))

Outputs
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (sqrt.f64 (PI.f64)))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (fabs.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (sqrt.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (exp.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) 2))) (cbrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) 2))) (cbrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))) (sqrt.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))))) (sqrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 x (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 3))
(*.f64 x (sqrt.f64 (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (exp.f64 1)) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (exp.f64 3)) (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (exp.f64 1/3)) (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1/2) (.f64 (log.f64 x) 1)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (log.f64 x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (PI.f64)) 1/2)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 (PI.f64)))))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (PI.f64)) 1/2)))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))
(*.f64 x (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))

eval909.0ms (10.8%)

Compiler: Compiled 43107 to 25927 computations (39.9% saved)

prune222.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	1157	1	1158
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	1158	3	1161

Accuracy

100.0%

Counts

1161 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
✓	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
✓	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
✓	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 196 to 154 computations (21.4% saved)

localize279.0ms (3.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	99.4%	(.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3)
	99.2%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
	90.9%	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))

Compiler

Compiled 176 to 102 computations (42% saved)

eval193.0ms (2.3%)

Compiler: Compiled 10899 to 6445 computations (40.9% saved)

prune54.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	277	3	280

Accuracy

100.0%

Counts

280 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

✓

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

✓

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 426 to 275 computations (35.4% saved)

regimes23.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Outputs

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Calls

3 calls:

8.0ms

(fabs.f64 x)

5.0ms

4.0ms

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

Results

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

Compiler

Compiled 437 to 270 computations (38.2% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Outputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 124 to 76 computations (38.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Outputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 62 to 42 computations (32.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
6×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	358
1	53	358

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Outputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1/3))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 1/3))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))) (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))))

Compiler

Compiled 98 to 77 computations (21.4% saved)

soundness658.0ms (7.8%)

Rules

1494×	`log-prod`
1494×	`log-prod`
1050×	`fma-def`
1050×	`fma-def`
1046×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	1071
1	206	579
2	459	417
3	1776	378
4	4587	366
5	5834	354
0	17	63
1	207	55
2	2571	55
0	17	63
1	207	55
2	2571	55
0	292	2612
1	586	2529
2	1584	2282
3	6518	2282
0	15	32
1	161	32
2	1787	32
0	292	2612
1	586	2529
2	1584	2282
3	6518	2282

Stop Event

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

Compiler

Compiled 1275 to 738 computations (42.1% saved)

end0.0ms (0%)

preprocess100.0ms (1.2%)

Remove: (abs x)
Compiler: Compiled 472 to 322 computations (31.8% saved)

analyze1.0ms (0%)

sample3.0s (35.1%)

preprocess617.0ms (7.3%)

eval4.0ms (0%)

prune2.0ms (0%)

localize161.0ms (1.9%)

series6.0ms (0.1%)

rewrite125.0ms (1.5%)

simplify74.0ms (0.9%)

eval73.0ms (0.9%)

prune19.0ms (0.2%)

localize269.0ms (3.2%)

series35.0ms (0.4%)

rewrite65.0ms (0.8%)

simplify83.0ms (1%)

eval464.0ms (5.5%)

prune86.0ms (1%)

localize548.0ms (6.5%)

series51.0ms (0.6%)

rewrite127.0ms (1.5%)

simplify193.0ms (2.3%)

eval909.0ms (10.8%)

prune222.0ms (2.6%)

localize279.0ms (3.3%)

eval193.0ms (2.3%)

prune54.0ms (0.6%)

regimes23.0ms (0.3%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness658.0ms (7.8%)

end0.0ms (0%)

preprocess100.0ms (1.2%)

Profiling