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)

sample2.8s (39.6%)

Results

2.8s	8212×	body	256	infinite
13.0ms	44×	body	256	valid

Bogosity

preprocess472.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

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

Problems

254×	No Errors
1×	`(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))`
1×	`(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (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 (0.1%)

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)

localize145.0ms (2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 15/8 (pow.f64 x 6))
✓	99.5%	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓	99.1%	(/.f64 1/2 (*.f64 x x))
✓	98.4%	(sqrt.f64 (PI.f64))

Compiler

Compiled 141 to 78 computations (44.7% saved)

series3.0ms (0%)

Counts

4 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 15/8 (pow.f64 x 6))
1.0ms	x	@	0	(/.f64 1/2 (*.f64 x x))
1.0ms	x	@	0	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
1.0ms	x	@	-inf	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
0.0ms	x	@	inf	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))

rewrite224.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`log-prod`
757×	`log1p-expm1-u`
757×	`expm1-log1p-u`
558×	`pow-prod-down`
454×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	208	55
2	2526	55

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))
(/.f64 1/2 (*.f64 x x))
(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (pow.f64 x 6))

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 (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 (.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)))
(+.f64 0 (*.f64 15/8 (pow.f64 x -6)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6))) (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6))))) (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 225/64 (pow.f64 x 12))))
(*.f64 (cbrt.f64 (/.f64 225/64 (pow.f64 x 12))) (/.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 (pow.f64 x -6) 15/8)
(*.f64 (pow.f64 x -6) (log.f64 (exp.f64 15/8)))
(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 225/64 (pow.f64 x 12)) 1/2)
(pow.f64 (pow.f64 (*.f64 15/8 (pow.f64 x -6)) 3) 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 225/64 (pow.f64 x 12)))
(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 (pow.f64 (*.f64 15/8 (pow.f64 x -6)) 3))
(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))))

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1276×	`log-prod`
934×	`fma-def`
658×	`unswap-sqr`
612×	`distribute-lft-in`
584×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	2612
1	608	2529
2	1614	2282
3	6390	2282

Stop Event

1×	node limit

Counts

148 → 140

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 (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 (.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)))
(+.f64 0 (*.f64 15/8 (pow.f64 x -6)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6))) (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6))))) (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 225/64 (pow.f64 x 12))))
(*.f64 (cbrt.f64 (/.f64 225/64 (pow.f64 x 12))) (/.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 (pow.f64 x -6) 15/8)
(*.f64 (pow.f64 x -6) (log.f64 (exp.f64 15/8)))
(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 225/64 (pow.f64 x 12)) 1/2)
(pow.f64 (pow.f64 (*.f64 15/8 (pow.f64 x -6)) 3) 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 225/64 (pow.f64 x 12)))
(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 (pow.f64 (*.f64 15/8 (pow.f64 x -6)) 3))
(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 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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(exp.f64 (log.f64 (*.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))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))) 1) 1))
(*.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))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 15/8 (pow.f64 x -6)))) 1/3))
(*.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))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 8/15)) -1))
(*.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))

eval113.0ms (1.6%)

Compiler: Compiled 4902 to 2798 computations (42.9% saved)

prune23.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	3	141

Accuracy

100.0%

Counts

141 → 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 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) (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) (exp.f64 (log.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 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) (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) (exp.f64 (log.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 202 to 160 computations (20.8% saved)

localize421.0ms (5.9%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	99.7%	(/.f64 15/8 (pow.f64 x 6))
✓	99.5%	(*.f64 x (sqrt.f64 (PI.f64)))
	99.1%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
✓	99.4%	(.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3)
	99.1%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
✓	91.3%	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
✓	99.5%	(*.f64 (sqrt.f64 (PI.f64)) x)
	99.1%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
✓	91.3%	(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))

Compiler

Compiled 470 to 243 computations (48.3% saved)

series61.0ms (0.8%)

Counts

5 → 48

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3)
21.0ms	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)
1.0ms	x	@	-inf	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1/3))
0.0ms	x	@	inf	(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))

rewrite109.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`unpow-prod-down`
652×	`log-prod`
518×	`log1p-expm1-u`
518×	`expm1-log1p-u`
462×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	96
1	188	84
2	1871	84

Stop Event

1×	node limit

Counts

5 → 370

Calls

Call 1

Inputs
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 (sqrt.f64 (PI.f64)) x)
(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 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) (*.f64 3 (log.f64 x))))
(.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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (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 (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 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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2)) (.f64 (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (.f64 (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) 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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3))) (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 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3))) (sqrt.f64 1/3))
(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 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2)) (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (exp.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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)))
(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)
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(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 (exp.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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)))

simplify183.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1410×	`fma-def`
928×	`sqr-pow`
918×	`distribute-lft-in`
852×	`distribute-rgt-in`
596×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	16747
1	948	16539
2	2387	16441

Stop Event

1×	node limit

Counts

418 → 218

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 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 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 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) (*.f64 3 (log.f64 x))))
(.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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (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 (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 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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2)) (.f64 (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (.f64 (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) 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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3))) (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 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3))) (sqrt.f64 1/3))
(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 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2)) (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (exp.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
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(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2)) (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (exp.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (exp.f64 (.f64 1/3 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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)))
(*.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 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))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 -1 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (PI.f64)) x -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 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 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 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64)))) (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 (.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 2))))
(.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 (exp.f64 1) (log.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 2))))))
(.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 x (sqrt.f64 (PI.f64)))
(.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 x (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (exp.f64 1/3) (.f64 3/2 (log.f64 (PI.f64)))) (pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 x))))
(.f64 (pow.f64 (exp.f64 1/3) (.f64 3/2 (log.f64 (PI.f64)))) (pow.f64 (exp.f64 1/3) (*.f64 (log.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 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 (PI.f64) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2)))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 (PI.f64)) 3))))
(.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 x (*.f64 (PI.f64) (pow.f64 x 2)))))
(.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 (.f64 (.f64 (PI.f64) (pow.f64 x 2)) (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))))) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (pow.f64 x 2))) (.f64 (PI.f64) (pow.f64 x 2)))) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(.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 (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 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (exp.f64 1))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) (E.f64))
(/.f64 (pow.f64 (exp.f64 1/3) (exp.f64 (log1p.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (exp.f64 1/3))
(/.f64 (pow.f64 (exp.f64 1/3) (exp.f64 (log1p.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))))) (exp.f64 1/3))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 1)
(*.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 (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)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 2)
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) x) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 6) 1/6)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(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))))
(*.f64 x (sqrt.f64 (PI.f64)))
(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))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 1))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (exp.f64 1/3) (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2)) (.f64 (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) 2)) (.f64 1/3 (cbrt.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (.f64 (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
(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))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 1) 3) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 1) 1/3) (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))
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(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (.f64 (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))
(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))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 1) 3) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 1) 1/3) (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))
(pow.f64 (cbrt.f64 (E.f64)) (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(pow.f64 (pow.f64 (exp.f64 1) (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (pow.f64 (E.f64) (.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 (pow.f64 (exp.f64 1) (.f64 1/3 (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (pow.f64 (E.f64) (.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 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))) 2)) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) (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 x (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(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 x (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(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 x (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(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 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(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 x (sqrt.f64 (PI.f64))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(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 (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))))))) (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)))) (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 x (sqrt.f64 (PI.f64)))))) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (cbrt.f64 (sqrt.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 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3))) (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 (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 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 3) 1/3) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(pow.f64 (cbrt.f64 (exp.f64 3)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(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) (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2)) (.f64 1/3 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(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) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (.f64 1/3 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(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) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(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 3) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (pow.f64 (exp.f64 1/3) 3) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) 2))
(pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2)) (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (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) (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2)) (.f64 3 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3))) (sqrt.f64 (.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 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)))))))
(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) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (.f64 3 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(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 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(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 1/3) (.f64 3 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(pow.f64 (exp.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)) 2))) (cbrt.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(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 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)) 3)))) (sqrt.f64 (.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 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 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)) 3)))
(*.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)))

eval710.0ms (9.9%)

Compiler: Compiled 38329 to 22736 computations (40.7% saved)

prune127.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1020	1	1021
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	1020	4	1024

Accuracy

100.0%

Counts

1024 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (E.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 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) (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) (exp.f64 (log.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 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (E.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 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) (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) (exp.f64 (log.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 278 to 220 computations (20.9% saved)

localize194.0ms (2.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	99.1%	(/.f64 1/2 (*.f64 x x))
	98.4%	(sqrt.f64 (PI.f64))
✓	98.3%	(exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
✓	90.6%	(pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))

Compiler

Compiled 191 to 84 computations (56% saved)

series79.0ms (1.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	(pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
19.0ms	x	@	inf	(pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
15.0ms	x	@	-inf	(pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
0.0ms	x	@	inf	(exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
0.0ms	x	@	0	(exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`log-prod`
676×	`log1p-expm1-u`
676×	`expm1-log1p-u`
536×	`pow-prod-down`
466×	`pow-prod-up`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	182	56
2	1955	50

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))

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

simplify109.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

998×	`exp-prod`
896×	`fma-neg`
784×	`associate-+r+`
720×	`associate-+l+`
532×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	4782
1	556	4507
2	1929	4491
3	6848	4491

Stop Event

1×	node limit

Counts

113 → 121

Calls

Call 1

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

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

eval150.0ms (2.1%)

Compiler: Compiled 8430 to 4575 computations (45.7% saved)

prune39.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	196	4	200

Accuracy

100.0%

Counts

200 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (E.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 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) (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) (exp.f64 (log.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 409 to 278 computations (32% saved)

regimes24.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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) (.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 (log.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 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (E.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))))))

Outputs

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) (E.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))))))

Calls

3 calls:

9.0ms

(*.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))))))

5.0ms

(fabs.f64 x)

5.0ms

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 379 to 240 computations (36.7% saved)

regimes7.0ms (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 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) (.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 (log.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))))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 132 to 82 computations (37.9% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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) (*.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 (log.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))))))

Outputs

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (log.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))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 96 to 61 computations (36.5% 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 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) (*.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) (.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))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 64 to 42 computations (34.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	512
1	62	512

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Compiler

Compiled 139 to 110 computations (20.9% saved)

soundness816.0ms (11.4%)

Rules

1410×	`fma-def`
1276×	`log-prod`
1046×	`distribute-lft-out`
980×	`unpow-prod-down`
934×	`fma-def`

Iterations

Useful iterations: 1 (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	59
1	208	55
2	2526	55
0	17	96
1	188	84
2	1871	84
0	390	16747
1	948	16539
2	2387	16441
0	295	2612
1	608	2529
2	1614	2282
3	6390	2282
0	17	59
1	208	55
2	2526	55

Stop Event

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

Compiler

Compiled 1324 to 786 computations (40.6% saved)

end0.0ms (0%)

preprocess136.0ms (1.9%)

Remove: (abs x)
Compiler: Compiled 556 to 366 computations (34.2% saved)

analyze1.0ms (0%)

sample2.8s (39.6%)

preprocess472.0ms (6.6%)

eval4.0ms (0.1%)

prune2.0ms (0%)

localize145.0ms (2%)

series3.0ms (0%)

rewrite224.0ms (3.1%)

simplify76.0ms (1.1%)

eval113.0ms (1.6%)

prune23.0ms (0.3%)

localize421.0ms (5.9%)

series61.0ms (0.8%)

rewrite109.0ms (1.5%)

simplify183.0ms (2.6%)

eval710.0ms (9.9%)

prune127.0ms (1.8%)

localize194.0ms (2.7%)

series79.0ms (1.1%)

rewrite75.0ms (1%)

simplify109.0ms (1.5%)

eval150.0ms (2.1%)

prune39.0ms (0.5%)

regimes24.0ms (0.3%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

simplify7.0ms (0.1%)

soundness816.0ms (11.4%)

end0.0ms (0%)

preprocess136.0ms (1.9%)

Profiling