Details

analyze12.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
0%	0%	25%	75%	0%	0%	0%	2
0%	0%	12.5%	75%	12.5%	0%	0%	3
0%	0%	6.3%	75%	18.8%	0%	0%	4
0%	0%	3.1%	75%	21.9%	0%	0%	5
0%	0%	1.6%	75%	23.5%	0%	0%	6
0%	0%	0.8%	75%	24.2%	0%	0%	7
0%	0%	0.4%	75%	24.6%	0%	0%	8
33.3%	0.1%	0.2%	75%	24.7%	0%	0%	9
50%	0.1%	0.1%	75%	24.8%	0%	0%	10
71.4%	0.1%	0%	75%	24.9%	0%	0%	11
84.6%	0.1%	0%	75%	24.9%	0%	0%	12

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample4.1s (32.6%)

Results

3.5s	8256×	body	256	valid
496.0ms	1269×	body	256	infinite

Bogosity

preprocess76.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
626×	`associate-*l/_binary64`
454×	`associate-*r/_binary64`
381×	`associate-/l*_binary64`
365×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	321	58
3	1510	52
4	5398	49
5	6315	47
6	7322	47
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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))))))

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

Compiler

Compiled 105 to 70 computations (33.3% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
626×	`associate-*l/_binary64`
454×	`associate-*r/_binary64`
381×	`associate-/l*_binary64`
365×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	321	58
3	1510	52
4	5398	49
5	6315	47
6	7322	47

Stop Event

1×	node limit

Counts

1 → 2

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))))))

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

eval2.0ms (0%)

Compiler: Compiled 134 to 87 computations (35.1% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

1.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
▶	2.8b	(.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))))))

Status

Error

Program

▶

1.3b

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

▶

2.8b

(*.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))))))

Compiler

Compiled 135 to 91 computations (32.6% saved)

localize152.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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))))))
✓	0.5b	(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	2.5b	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

Compiler

Compiled 534 to 328 computations (38.6% saved)

series27.0ms (0.2%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(.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))))))
7.0ms	x	@	inf	(.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))))))
6.0ms	x	@	0	(.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))))))
1.0ms	x	@	-inf	(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
1.0ms	x	@	-inf	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

331×	`add-sqr-sqrt_binary64`
316×	`*-un-lft-identity_binary64`
316×	`pow1_binary64`
311×	`add-cbrt-cube_binary64`
309×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	106
1	711	62

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

Inputs
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(sqrt.f64 (PI.f64))
(*.f64 (/.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))))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) 5)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 x -3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x -2)) 1))))))
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x) (sqrt.f64 (PI.f64))) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) (.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 (.f64 15/8 (pow.f64 (/.f64 1 x) 6)) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 (.f64 15/8 (pow.f64 (/.f64 1 x) 6)) x)))) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 (.f64 15/8 (pow.f64 (/.f64 1 x) 6)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 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x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) 3) (pow.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (.f64 x x) (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (-.f64 (.f64 x x) (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 (.f64 15/8 (pow.f64 (/.f64 1 x) 6)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (*.f64 15/8 (pow.f64 (/.f64 1 x) 6)) x) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))))

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

759×	`associate-l_binary64`
746×	`associate-*l/_binary64`
706×	`times-frac_binary64`
675×	`associate-*r/_binary64`
601×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	900
1	91	828
2	216	828
3	734	828
4	2445	828

Stop Event

1×	node limit

Counts

136 → 105

Calls

Call 1

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

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

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
✓	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 135 to 66 computations (51.1% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (exp.f64 x) x)
1.0ms	x	@	inf	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
1.0ms	x	@	0	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
1.0ms	x	@	-inf	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
1.0ms	x	@	0	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

270×	`add-sqr-sqrt_binary64`
258×	`pow1_binary64`
257×	`*-un-lft-identity_binary64`
255×	`add-log-exp_binary64`
253×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	69
1	537	61

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

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

Inputs

(pow.f64 (exp.f64 x) x)

(/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 2)) (.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (cbrt.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) x) (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 2)) x) (/.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 3) (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 3) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6)))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 (.f64 15/8 (pow.f64 x -6))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (.f64 15/8 (pow.f64 x -6)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 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Outputs

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simplify125.0ms (1%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-/l*_binary64`
442×	`sqr-pow_binary64`
357×	`fma-def_binary64`
348×	`distribute-rgt-out_binary64`
285×	`*-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	71	1001
1	181	888
2	554	736
3	2772	661
4	4655	651
5	5337	651
6	5692	651
7	6546	651
8	7132	635
9	7966	635

Stop Event

1×	node limit

Counts

144 → 138

Calls

Call 1

Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 4))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
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Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4))))
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(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1))
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(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1)))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
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(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x)))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (pow.f64 x 4))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x)))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 4) (fabs.f64 x)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 3/4 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (pow.f64 x 4))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x)))) (.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (pow.f64 x 6)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (/.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))) (pow.f64 x 6)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 4) (fabs.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 15/8 (pow.f64 x 4))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))

eval338.0ms (2.7%)

Compiler: Compiled 21432 to 13165 computations (38.6% saved)

prune134.0ms (1.1%)

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	287	41	328
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	288	42	330

Error

0.3b

Counts

330 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6)))) (.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))))
	7.5b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	48.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
	1.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) -1/2) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))))
	1.2b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6))))))
	2.9b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	55.7b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
	2.0b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.1b	(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (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))))))
▶	2.6b	(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
	3.2b	(exp.f64 (+.f64 (log1p.f64 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
	9.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (+.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))))))
▶	1.3b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	56.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
	1.7b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) 3)
	2.7b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))))))
	1.2b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6))))) (*.f64 x (sqrt.f64 (PI.f64))))
	3.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.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))))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
▶	57.0b	(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
	1.5b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.3b	(/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6))))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
	2.7b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
	1.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (+.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))))))
	3.1b	(exp.f64 (+.f64 (-.f64 (*.f64 x x) (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))
	1.7b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)) (+.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))))))
	41.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
▶	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
	2.9b	(.f64 (.f64 (/.f64 1 (expm1.f64 (log1p.f64 (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))))))
	1.3b	(pow.f64 (sqrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))))) 2)
	9.7b	(.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
▶	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.8b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (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))))))
	1.6b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))))) 3)
	3.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (E.f64) (.f64 x 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))))))
	44.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
✓	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	56.6b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
	57.0b	(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))

Compiler

Compiled 3699 to 2658 computations (28.1% saved)

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2)))
✓	0.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 148 to 81 computations (45.3% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2)))
1.0ms	x	@	-inf	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2)))
1.0ms	x	@	inf	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2)))
1.0ms	x	@	0	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
0.0ms	x	@	-inf	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

297×	`add-sqr-sqrt_binary64`
282×	`pow1_binary64`
281×	`add-log-exp_binary64`
280×	`*-un-lft-identity_binary64`
279×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	66
1	593	56

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs

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

(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2)))

Outputs

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(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) -1) (neg.f64 (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1))))))

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

402×	`fma-def_binary64`
364×	`associate-+l+_binary64`
328×	`distribute-rgt-out_binary64`
322×	`*-commutative_binary64`
285×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	1059
1	192	942
2	607	736
3	3046	634
4	4442	624
5	5238	624
6	5721	624
7	7102	624
8	7767	624

Stop Event

1×	node limit

Counts

122 → 122

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 6) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fabs.f64 x)) (pow.f64 x 6)))
(.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (pow.f64 x 6))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4)))) (.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 21/8 (*.f64 (fabs.f64 x) (pow.f64 x 4)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (.f64 x (pow.f64 x 4))) (/.f64 (/.f64 15/8 x) (pow.f64 x 6))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (.f64 x x)))))))
(fma.f64 21/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (fabs.f64 x) (pow.f64 x 4))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 35/16 (.f64 x (*.f64 x (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (.f64 x (pow.f64 x 4))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 (/.f64 15/8 x) (pow.f64 x 6)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 35/16 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 21/8 (.f64 (fabs.f64 x) (pow.f64 x 4))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 35/16 (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (.f64 x (pow.f64 x 4))) (/.f64 (/.f64 15/8 x) (pow.f64 x 6))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (*.f64 x x)))))))
(fma.f64 3/4 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (*.f64 x (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 3/4 (*.f64 x x))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 6))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (pow.f64 x 6)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 3/4 (pow.f64 (exp.f64 x) x)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 3/4 (.f64 x x)))) (.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (*.f64 x x)))))))
(fma.f64 3/4 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (*.f64 x (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 3/4 (*.f64 x x))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 6))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (pow.f64 x 6)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 3/4 (pow.f64 (exp.f64 x) x)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 3/4 (.f64 x x)))) (.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)
(+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (.f64 x x) (fabs.f64 x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 x) (.f64 (/.f64 x x) x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 4) (fabs.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (*.f64 x x) (fabs.f64 x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (.f64 x x) (fabs.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 1/2 (/.f64 (pow.f64 x 4) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 x x) x) (fma.f64 1/2 (/.f64 (pow.f64 x 4) x) (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (fma.f64 1/2 (pow.f64 x 3) (/.f64 1 x))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 6) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 4) (fabs.f64 x))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (.f64 x x) (fabs.f64 x)))) (.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 6) (fabs.f64 x))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 x x) (fabs.f64 x)) (.f64 1/6 (/.f64 (pow.f64 x 6) (fabs.f64 x))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 4) (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 6) x) (.f64 (/.f64 x x) x)) (fma.f64 1/2 (/.f64 (pow.f64 x 4) x) (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 5) 1/6 x) (fma.f64 1/2 (pow.f64 x 3) (/.f64 1 x))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
✓	0.3b	(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))

Compiler

Compiled 34 to 26 computations (23.5% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
1.0ms	x	@	-inf	(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
1.0ms	x	@	0	(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
0.0ms	x	@	-inf	(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
0.0ms	x	@	inf	(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
378×	`exp-prod_binary64`
318×	`prod-exp_binary64`
275×	`pow2_binary64`
261×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	234	23
2	2761	23

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14))) (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (PI.f64) -1/6) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/4) (*.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (PI.f64) -1/2)) (/.f64 1 (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 1) (/.f64 (pow.f64 (PI.f64) -1/6) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/4) 1) (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (cbrt.f64 x) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 (cbrt.f64 x) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7/2) (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7/2)) (/.f64 (pow.f64 (PI.f64) -1/6) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 -1/2 (log.f64 (PI.f64))) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 -7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 -7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -7 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -7 (log.f64 x)) (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) 1) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 x 14))) (pow.f64 (cbrt.f64 x) 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) -1/2)) 15/8) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 15/8 (neg.f64 (pow.f64 (PI.f64) -1/2))) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)) 225/64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)) 225/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 7 (log.f64 x)) 1)))))))

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

874×	`associate-/l/_binary64`
824×	`unswap-sqr_binary64`
536×	`sqr-pow_binary64`
453×	`*-commutative_binary64`
437×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	420
1	27	348
2	55	348
3	140	348
4	479	348
5	2074	348
6	2300	348
7	2638	348
8	3953	348
9	4064	348
10	4234	348
11	5828	348
12	6180	348
13	6667	348
14	7519	348

Stop Event

1×	node limit

Counts

116 → 96

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
✓	0.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 137 to 77 computations (43.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
1.0ms	x	@	inf	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
1.0ms	x	@	-inf	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
0.0ms	x	@	0	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
0.0ms	x	@	-inf	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64)))

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

287×	`add-sqr-sqrt_binary64`
275×	`pow1_binary64`
274×	`add-log-exp_binary64`
273×	`*-un-lft-identity_binary64`
272×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	64
1	584	56

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs

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

(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64)))

Outputs

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x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) x) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 1) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 1 x) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1))))))

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

402×	`fma-def_binary64`
364×	`associate-+l+_binary64`
328×	`distribute-rgt-out_binary64`
322×	`*-commutative_binary64`
285×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	1059
1	192	942
2	607	736
3	3046	634
4	4442	624
5	5238	624
6	5721	624
7	7102	624
8	7767	624

Stop Event

1×	node limit

Counts

128 → 128

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 6) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fabs.f64 x)) (pow.f64 x 6)))
(.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (pow.f64 x 6))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4)))) (.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 21/8 (*.f64 (fabs.f64 x) (pow.f64 x 4)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (.f64 x (pow.f64 x 4))) (/.f64 (/.f64 15/8 x) (pow.f64 x 6))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (.f64 x x)))))))
(fma.f64 21/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (fabs.f64 x) (pow.f64 x 4))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 35/16 (.f64 x (*.f64 x (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (.f64 x (pow.f64 x 4))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 (/.f64 15/8 x) (pow.f64 x 6)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 35/16 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 21/8 (.f64 (fabs.f64 x) (pow.f64 x 4))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 35/16 (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (.f64 x (pow.f64 x 4))) (/.f64 (/.f64 15/8 x) (pow.f64 x 6))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
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(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
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(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
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(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
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(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (*.f64 x x)))))))
(fma.f64 3/4 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (*.f64 x (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 3/4 (*.f64 x x))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 6))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (pow.f64 x 6)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 3/4 (pow.f64 (exp.f64 x) x)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 3/4 (.f64 x x)))) (.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)
(+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (.f64 x x) (fabs.f64 x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 x) (.f64 (/.f64 x x) x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 4) (fabs.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (*.f64 x x) (fabs.f64 x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (.f64 x x) (fabs.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 1/2 (/.f64 (pow.f64 x 4) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 x x) x) (fma.f64 1/2 (/.f64 (pow.f64 x 4) x) (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (fma.f64 1/2 (pow.f64 x 3) (/.f64 1 x))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 6) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 4) (fabs.f64 x))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (.f64 x x) (fabs.f64 x)))) (.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 6) (fabs.f64 x))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 x x) (fabs.f64 x)) (.f64 1/6 (/.f64 (pow.f64 x 6) (fabs.f64 x))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 4) (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 6) x) (.f64 (/.f64 x x) x)) (fma.f64 1/2 (/.f64 (pow.f64 x 4) x) (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 5) 1/6 x) (fma.f64 1/2 (pow.f64 x 3) (/.f64 1 x))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	0.5b	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 172 to 68 computations (60.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))

0.0ms

inf

(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))

0.0ms

-inf

(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))

rewrite39.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`pow1_binary64`
415×	`add-sqr-sqrt_binary64`
407×	`*-un-lft-identity_binary64`
404×	`add-log-exp_binary64`
404×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	118	6
2	1168	6

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 (/.f64 x 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (fma.f64 x 1/2 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 2 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x x))))))

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

829×	`associate-/l/_binary64`
684×	`fma-def_binary64`
676×	`associate-/r/_binary64`
586×	`associate-/l*_binary64`
393×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	95
1	44	89
2	102	85
3	280	85
4	1063	85
5	2912	85
6	3743	85
7	4692	85

Stop Event

1×	node limit

Counts

35 → 31

Calls

Call 1

Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))

Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (fma.f64 x x (*.f64 1/2 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1)))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 6) 1)))
(fma.f64 x (fma.f64 1/2 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 6) 1))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)

localize86.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
✓	0.3b	(/.f64 1 (pow.f64 (fabs.f64 x) 3))
✓	0.4b	(.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))
✓	2.5b	(exp.f64 (pow.f64 (fabs.f64 x) 2))

Compiler

Compiled 232 to 165 computations (28.9% saved)

series5.0ms (0%)

Counts

4 → 8

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))
1.0ms	x	@	-inf	(.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))
1.0ms	x	@	-inf	(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))
0.0ms	x	@	inf	(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

337×	`add-sqr-sqrt_binary64`
319×	`add-log-exp_binary64`
319×	`pow1_binary64`
318×	`log1p-expm1-u_binary64`
318×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	113
1	710	82

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 x x) (log.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (*.f64 x x) (log.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (pow.f64 x -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 x) 3/2) (pow.f64 (/.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -3 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) 3) (pow.f64 (pow.f64 (PI.f64) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) -1/2) 3) (pow.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 1))))))

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

802×	`associate-/r*_binary64`
703×	`associate-l_binary64`
668×	`associate-*l/_binary64`
607×	`associate-*r/_binary64`
574×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	464
1	75	448
2	169	448
3	568	448
4	2176	448

Stop Event

1×	node limit

Counts

85 → 79

Calls

Call 1

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

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

eval407.0ms (3.3%)

Compiler: Compiled 23492 to 13938 computations (40.7% saved)

prune268.0ms (2.2%)

Pruning

74 alts after pruning (73 fresh and 1 done)

	Pruned	Kept	Total
New	622	60	682
Fresh	23	13	36
Picked	1	0	1
Done	4	1	5
Total	650	74	724

Error

0.2b

Counts

724 → 74

Alt Table

Click to see full alt table

Status	Error	Program
	41.0b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	44.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	1.2b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
▶	1.6b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) 3)
	55.8b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
	57.0b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	1.6b	(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)) (sqrt.f64 (/.f64 1 (PI.f64))))
▶	57.0b	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
	48.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
	57.0b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	1.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.2b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (exp.f64 (.f64 x x)))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.0b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/4))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.9b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.7b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.0b	(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (pow.f64 (E.f64) (.f64 x x))) (sqrt.f64 (/.f64 1 (PI.f64))))
	1.2b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
	2.9b	(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))))) 3) (sqrt.f64 (/.f64 1 (PI.f64))))
	1.2b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))
	55.7b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
	56.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
	1.3b	(.f64 (/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) 1) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 1 x) (pow.f64 (PI.f64) 1/4))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	57.0b	(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
	1.2b	(.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) 1) (sqrt.f64 (/.f64 1 (PI.f64))))
	2.7b	(.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.7b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 3)
	56.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))))
	1.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	9.5b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.7b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))))
	44.4b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
	9.5b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6))))) (*.f64 x (sqrt.f64 (PI.f64))))
▶	1.5b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	55.8b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1))))
	1.3b	(/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6))))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
	9.7b	(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (sqrt.f64 (/.f64 1 (PI.f64))))
	3.4b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.3b	(/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))) (sqrt.f64 (PI.f64)))
	3.0b	(.f64 (exp.f64 (+.f64 (.f64 x x) (log.f64 (fma.f64 15/8 (pow.f64 x -7) (fma.f64 1/2 (pow.f64 x -3) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))))) (sqrt.f64 (/.f64 1 (PI.f64))))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.3b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	7.4b	(.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	56.5b	(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
	1.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.8b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
▶	1.2b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
▶	1.3b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.7b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.1b	(exp.f64 (+.f64 (-.f64 (*.f64 x x) (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))
	7.4b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	41.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.3b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Compiler

Compiled 4758 to 3509 computations (26.3% saved)

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 3/4 (pow.f64 x 4))
✓	0.3b	(.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2)))
✓	0.4b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 144 to 95 computations (34% saved)

series11.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
1.0ms	x	@	inf	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
1.0ms	x	@	0	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
1.0ms	x	@	inf	(.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2)))
1.0ms	x	@	-inf	(.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2)))

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

293×	`add-sqr-sqrt_binary64`
280×	`add-log-exp_binary64`
279×	`pow1_binary64`
278×	`log1p-expm1-u_binary64`
278×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	69
1	603	65

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

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

(*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2)))

(/.f64 3/4 (pow.f64 x 4))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 x x) (log.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 x x) (log.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/4 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))) (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 3/4) (*.f64 x x)) (/.f64 (sqrt.f64 3/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/4 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/4 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 3/4) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27/64 (pow.f64 x 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9/16 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 27/64 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))) 1))))))

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

866×	`times-frac_binary64`
458×	`associate-*l/_binary64`
432×	`associate-/r*_binary64`
427×	`associate-/l*_binary64`
378×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	886
1	166	755
2	510	670
3	1995	652
4	6138	634
5	6820	634
6	7452	634

Stop Event

1×	node limit

Counts

100 → 100

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 3/4 (pow.f64 x 5)) (exp.f64 (.f64 x x))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (.f64 x x)) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (exp.f64 (.f64 x x)))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 3/4 (pow.f64 x 5)) (exp.f64 (.f64 x x))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (.f64 x x)) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (exp.f64 (.f64 x x)))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 x) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (.f64 (pow.f64 x 3) 1/2))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 x) (fma.f64 (pow.f64 x 3) 1/2 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))))
(fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (.f64 (pow.f64 x 3) 1/2))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 5) 1/6) (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 3) 1/2 x) (fma.f64 (pow.f64 x 5) 1/6 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 5) 1/6 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/2 x)))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
✓	0.3b	(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))
1.0ms	x	@	-inf	(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))
0.0ms	x	@	0	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
0.0ms	x	@	-inf	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
809×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	195	23
2	2285	23

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (pow.f64 x 7) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) (cbrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) (sqrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))))))

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

878×	`associate-/l/_binary64`
822×	`unswap-sqr_binary64`
505×	`*-commutative_binary64`
405×	`times-frac_binary64`
399×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	348
1	28	312
2	59	312
3	153	312
4	512	312
5	2242	312
6	2474	312
7	2813	312
8	4124	312
9	4235	312
10	4405	312
11	6053	312
12	6407	312
13	6894	312
14	7763	312

Stop Event

1×	node limit

Counts

58 → 37

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 147 to 67 computations (54.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

0.0ms

inf

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`add-sqr-sqrt_binary64`
267×	`pow1_binary64`
266×	`*-un-lft-identity_binary64`
264×	`add-log-exp_binary64`
262×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	49
1	560	41

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) 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-2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) 1 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) (*.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) (*.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))))))))

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac_binary64`
447×	`associate-*l/_binary64`
436×	`associate-/r*_binary64`
434×	`unswap-sqr_binary64`
432×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	49	619
1	129	511
2	397	447
3	1547	429
4	6042	411
5	7003	401

Stop Event

1×	node limit

Counts

65 → 69

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (/.f64 35/16 (pow.f64 x 3))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (.f64 x x)))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (/.f64 (.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (.f64 x x)) x)) (fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (.f64 x x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))) (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (.f64 x x)))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (/.f64 (.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (.f64 x x)) x)) (fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (.f64 x x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))) (.f64 (exp.f64 (.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	1.0b	(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 146 to 68 computations (53.4% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

331×	`pow1_binary64`
320×	`add-sqr-sqrt_binary64`
312×	`*-un-lft-identity_binary64`
308×	`add-log-exp_binary64`
308×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
1	78	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)) (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (PI.f64) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (pow.f64 (pow.f64 (PI.f64) 5/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (sqrt.f64 (pow.f64 (PI.f64) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1) (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/4)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 5/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 5/6) 1/2) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 1/3) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 5/4) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1) (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1) (-.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1)) (fabs.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1)) (fabs.f64 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1)) (neg.f64 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (PI.f64) 1/4)) (hypot.f64 1 (pow.f64 (PI.f64) 1/4)) -1)))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

63 → 63

Calls

Call 1

Inputs

Outputs

localize113.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) 3)
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 173 to 108 computations (37.6% saved)

series19.0ms (0.2%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) 3)
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))
1.0ms	x	@	inf	(cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`prod-diff_binary64`
256×	`add-sqr-sqrt_binary64`
245×	`add-log-exp_binary64`
244×	`log1p-expm1-u_binary64`
244×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	563	82
2	6516	82

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs

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

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

Outputs

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simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

111 → 111

Calls

Call 1

Inputs

Outputs

eval470.0ms (3.8%)

Compiler: Compiled 23333 to 14215 computations (39.1% saved)

prune459.0ms (3.7%)

Pruning

87 alts after pruning (83 fresh and 4 done)

	Pruned	Kept	Total
New	615	41	656
Fresh	26	42	68
Picked	0	1	1
Done	2	3	5
Total	643	87	730

Error

0.1b

Counts

730 → 87

Alt Table

Click to see full alt table

Status	Error	Program
	3.3b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) -1)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	57.0b	(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	1.6b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) 3)
	55.8b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
	57.0b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	57.0b	(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
	2.6b	(.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
✓	57.0b	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
	48.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
	2.0b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (.f64 x (sqrt.f64 (PI.f64))) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))))))
	1.2b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	57.0b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	2.2b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (exp.f64 (.f64 x x)))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
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	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))) x))
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▶	57.0b	(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
	2.9b	(.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
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	44.4b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
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	56.5b	(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
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	48.1b	(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
▶	1.2b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
✓	1.2b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
✓	1.3b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
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	1.2b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
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	48.1b	(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
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	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	9.7b	(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
	1.2b	(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.8b	(.f64 (neg.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	44.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
	1.3b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
▶	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Compiler

Compiled 5473 to 4028 computations (26.4% saved)

localize140.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))
✓	0.4b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 166 to 95 computations (42.8% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))
1.0ms	x	@	-inf	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
1.0ms	x	@	inf	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))
1.0ms	x	@	0	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
1.0ms	x	@	inf	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))

rewrite127.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

305×	`add-sqr-sqrt_binary64`
290×	`pow1_binary64`
288×	`*-un-lft-identity_binary64`
288×	`add-log-exp_binary64`
286×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	614	56

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs

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

(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))

Outputs

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((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 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x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1))))))

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

573×	`cancel-sign-sub-inv_binary64`
471×	`associate-*l/_binary64`
469×	`associate-/l*_binary64`
454×	`associate-/r*_binary64`
389×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	926
1	184	779
2	612	690
3	2396	672
4	6596	672

Stop Event

1×	node limit

Counts

116 → 118

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(.f64 -1 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 7) 15/8))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (exp.f64 (*.f64 x x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 x x)) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))) (/.f64 (exp.f64 (*.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 x x)) x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 x x)) x)) (fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (exp.f64 (*.f64 x x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 x x)) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))) (/.f64 (exp.f64 (*.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 x x)) x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 x x)) x)) (fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 -1 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x)
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 -1 (+.f64 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -1 x) (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (/.f64 -1 x) x))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) -1/2))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (/.f64 -1 x)) x))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -1 x) (.f64 (pow.f64 x 3) -1/2))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (neg.f64 x) (.f64 (pow.f64 x 5) -1/6))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 5) -1/6 (.f64 (pow.f64 x 3) -1/2)) (-.f64 (/.f64 -1 x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 5) -1/6) (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (/.f64 -1 x)) x)))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))
(.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
✓	0.3b	(/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))
✓	0.3b	(*.f64 (PI.f64) (pow.f64 x 14))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series8.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (PI.f64) (pow.f64 x 14))
1.0ms	x	@	0	(/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))
1.0ms	x	@	inf	(/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))
1.0ms	x	@	inf	(*.f64 (PI.f64) (pow.f64 x 14))
1.0ms	x	@	-inf	(*.f64 (PI.f64) (pow.f64 x 14))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`pow1_binary64`
842×	`add-log-exp_binary64`
842×	`log1p-expm1-u_binary64`
842×	`expm1-log1p-u_binary64`
824×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	197	32
2	2322	32

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(*.f64 (PI.f64) (pow.f64 x 14))
(/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 28) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (pow.f64 x 14) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 14) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 x 14))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 225/64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) (cbrt.f64 (/.f64 50625/4096 (*.f64 (pow.f64 x 28) (pow.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) (*.f64 (cbrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 50625/4096 (*.f64 (pow.f64 x 28) (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1/4) (*.f64 (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1/4) (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -225/64 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 225/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 225/64 (PI.f64)) (/.f64 1 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1/4)) (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))) (cbrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 50625/4096 (*.f64 (pow.f64 x 28) (pow.f64 (PI.f64) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 64/225) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 50625/4096 (*.f64 (pow.f64 x 28) (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) (cbrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1/4) (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (sqrt.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 50625/4096 (*.f64 (pow.f64 x 28) (pow.f64 (PI.f64) 2))))) (sqrt.f64 (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 225/64 1/2) (pow.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 50625/4096 (*.f64 (pow.f64 x 28) (pow.f64 (PI.f64) 2)))) 1/2) (pow.f64 (cbrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 64/225)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 15/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -225/64) (sqrt.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 225/64 (PI.f64))) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -15/8 (neg.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))))

simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

632×	`sqr-pow_binary64`
604×	`times-frac_binary64`
500×	`associate-/r*_binary64`
473×	`*-commutative_binary64`
443×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	360
1	40	324
2	92	324
3	264	324
4	969	324
5	4211	324
6	4887	324
7	5019	324
8	5197	324
9	5391	324
10	5663	324
11	6253	324
12	6678	324
13	7233	324
14	7899	324

Stop Event

1×	node limit

Counts

92 → 73

Calls

Call 1

Inputs
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(/.f64 225/64 (*.f64 (pow.f64 x 14) (PI.f64)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 -15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -15/8) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -15/8 (pow.f64 x 7)))
(.f64 -15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 -15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -15/8) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -15/8 (pow.f64 x 7)))
(.f64 -15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 -15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -15/8) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -15/8 (pow.f64 x 7)))
(.f64 -15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 -15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -15/8) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -15/8 (pow.f64 x 7)))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 3/4 (*.f64 x x))
✓	0.4b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 134 to 72 computations (46.3% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
0.0ms	x	@	0	(/.f64 3/4 (*.f64 x x))
0.0ms	x	@	0	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
0.0ms	x	@	-inf	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
0.0ms	x	@	inf	(/.f64 3/4 (*.f64 x x))

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

443×	`log1p-udef_binary64`
268×	`add-sqr-sqrt_binary64`
254×	`add-log-exp_binary64`
254×	`pow1_binary64`
252×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	536	49
2	7683	49

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 15/8 (pow.f64 x 6))) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) (*.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 15/8 (pow.f64 x 6)))) (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 x (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2))) (*.f64 x (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3)) (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2)) (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) (*.f64 (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 3) (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3)) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2)) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2))) (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) 2))))) (#(struct:change #<rule 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(pow.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 3) (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (+.f64 (-.f64 (*.f64 x x) (log.f64 x)) (*.f64 -1/2 (log.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (+.f64 (-.f64 (*.f64 x x) (log.f64 x)) (*.f64 -1/2 (log.f64 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) -1/2) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 1 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) 2) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) (sqrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 9/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 3/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 3/4) x) (/.f64 (sqrt.f64 3/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/4 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 3/4) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27/64 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 27/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/4 (pow.f64 x -2))) 1))))))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac_binary64`
447×	`associate-/r*_binary64`
445×	`associate-*l/_binary64`
437×	`associate-/l*_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	50	703
1	130	595
2	400	531
3	1556	513
4	6058	495
5	7019	485

Stop Event

1×	node limit

Counts

85 → 79

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (pow.f64 x 2))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 15/8 (pow.f64 (exp.f64 x) x)) (pow.f64 x 7)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 15/8 (pow.f64 (exp.f64 x) x)) (pow.f64 x 7)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))
(/.f64 3/4 (pow.f64 x 2))
(/.f64 3/4 (*.f64 x x))

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (pow.f64 (exp.f64 x) x))
✓	0.7b	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 157 to 79 computations (49.7% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (exp.f64 x) x))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (exp.f64 x) x))

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`pow1_binary64`
511×	`add-sqr-sqrt_binary64`
494×	`add-log-exp_binary64`
494×	`log1p-expm1-u_binary64`
494×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	146	14
2	1428	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)
(cbrt.f64 (pow.f64 (exp.f64 x) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))) 3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)) (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x x) 1/3))))))

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

857×	`associate-/l/_binary64`
622×	`distribute-lft-out_binary64`
379×	`fma-def_binary64`
360×	`distribute-rgt-out_binary64`
356×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	235
1	84	203
2	193	197
3	540	195
4	1969	195
5	3661	195
6	4755	195
7	5965	195

Stop Event

1×	node limit

Counts

66 → 59

Calls

Call 1

Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 4)) (+.f64 (.f64 1/3 (pow.f64 x 2)) (*.f64 1/162 (pow.f64 x 6)))))
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)

Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (fma.f64 x x (*.f64 1/2 (pow.f64 x 4))))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(.f64 1 (exp.f64 (.f64 x x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(.f64 1 (exp.f64 (.f64 x x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(.f64 1 (exp.f64 (.f64 x x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(.f64 1 (exp.f64 (.f64 x x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(.f64 1 (exp.f64 (.f64 x x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(.f64 1 (exp.f64 (.f64 x x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(.f64 1 (exp.f64 (.f64 x x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (pow.f64 1 1/3) (exp.f64 (pow.f64 x 2)))
(.f64 1 (exp.f64 (.f64 x x)))
(pow.f64 (exp.f64 x) x)
1
(+.f64 1 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1/3))
(fma.f64 (*.f64 x x) 1/3 1)
(fma.f64 x (*.f64 x 1/3) 1)
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/18 (pow.f64 x 4) (.f64 (.f64 x x) 1/3)))
(+.f64 1 (fma.f64 (.f64 x x) 1/3 (.f64 (pow.f64 x 4) 1/18)))
(fma.f64 (pow.f64 x 4) 1/18 (fma.f64 (*.f64 x x) 1/3 1))
(fma.f64 x (*.f64 x 1/3) (fma.f64 (pow.f64 x 4) 1/18 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/18) 1/3) 1)
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 4)) (+.f64 (.f64 1/3 (pow.f64 x 2)) (*.f64 1/162 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/18 (pow.f64 x 4) (fma.f64 1/3 (.f64 x x) (.f64 (pow.f64 x 6) 1/162))))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/18 (fma.f64 (.f64 x x) 1/3 (.f64 (pow.f64 x 6) 1/162))))
(+.f64 (fma.f64 (.f64 x x) 1/3 1) (fma.f64 (pow.f64 x 4) 1/18 (.f64 (pow.f64 x 6) 1/162)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/18) 1/3) (fma.f64 (pow.f64 x 6) 1/162 1))
(fma.f64 x (*.f64 x 1/3) (fma.f64 (pow.f64 x 4) 1/18 (fma.f64 (pow.f64 x 6) 1/162 1)))
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (pow.f64 (exp.f64 x) x))
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (pow.f64 (exp.f64 x) x))
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (pow.f64 (exp.f64 x) x))
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (pow.f64 (exp.f64 x) x))
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (pow.f64 (exp.f64 x) x))
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (pow.f64 (exp.f64 x) x))
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (pow.f64 (exp.f64 x) x))
(pow.f64 (exp.f64 (pow.f64 x 2)) 1/3)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(cbrt.f64 (pow.f64 (exp.f64 x) x))

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (pow.f64 (exp.f64 x) x))
✓	0.5b	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 172 to 79 computations (54.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
0.0ms	x	@	0	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
496×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1502	11

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 (*.f64 x x) 1/3)))))))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
536×	`associate-*l/_binary64`
426×	`associate-*r/_binary64`
405×	`*-commutative_binary64`
338×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	62	136
2	131	134
3	351	134
4	1277	134
5	3294	134
6	4320	134
7	7568	134

Stop Event

1×	node limit

Counts

28 → 24

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (.f64 2/9 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 4/81 (pow.f64 x 6)) (*.f64 2/9 (pow.f64 x 4)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)

Outputs
1
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 1)
(fma.f64 2/3 (*.f64 x x) 1)
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (.f64 2/9 (pow.f64 x 4))))
(fma.f64 2/3 (.f64 x x) (+.f64 1 (.f64 2/9 (pow.f64 x 4))))
(fma.f64 2/3 (*.f64 x x) (fma.f64 2/9 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 2/9) 2/3) 1)
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 4/81 (pow.f64 x 6)) (*.f64 2/9 (pow.f64 x 4)))))
(+.f64 (fma.f64 2/3 (.f64 x x) 1) (fma.f64 4/81 (pow.f64 x 6) (.f64 2/9 (pow.f64 x 4))))
(+.f64 (fma.f64 2/3 (.f64 x x) 1) (fma.f64 2/9 (pow.f64 x 4) (.f64 4/81 (pow.f64 x 6))))
(fma.f64 2/3 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 6) (fma.f64 2/9 (pow.f64 x 4) 1)))
(fma.f64 4/81 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) (fma.f64 2/9 (pow.f64 x 4) 1)))
(fma.f64 2/3 (*.f64 x x) (fma.f64 2/9 (pow.f64 x 4) (fma.f64 4/81 (pow.f64 x 6) 1)))
(fma.f64 2/9 (pow.f64 x 4) (fma.f64 4/81 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 1)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))

eval376.0ms (3%)

Compiler: Compiled 23501 to 13593 computations (42.2% saved)

prune206.0ms (1.7%)

Pruning

101 alts after pruning (94 fresh and 7 done)

	Pruned	Kept	Total
New	627	33	660
Fresh	17	61	78
Picked	1	0	1
Done	1	7	8
Total	646	101	747

Error

0.1b

Counts

747 → 101

Alt Table

Click to see full alt table

Status	Error	Program
	3.3b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) -1)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	57.0b	(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
	2.2b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (fabs.f64 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	57.0b	(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
	1.9b	(.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (pow.f64 (exp.f64 x) x) 1/6)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	57.0b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	1.2b	(.f64 (neg.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.0b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	57.0b	(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
	7.9b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))) 3) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	57.0b	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
	48.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
	1.2b	(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (.f64 x (sqrt.f64 (PI.f64))) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))))))
	1.2b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))) x))
	2.9b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x x))) 3) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	57.2b	(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
	57.0b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	2.2b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (exp.f64 (.f64 x x)))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.4b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/3) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.5b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) 2) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	48.1b	(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/4))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	1.2b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (.f64 x x) 1/3)) 3) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
	2.9b	(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	56.5b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.9b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	57.0b	(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
	1.4b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) -1/2)) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
	1.6b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.7b	(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.7b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 1 x) (pow.f64 (PI.f64) 1/4))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))
	1.8b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 3/4 (pow.f64 x -4)))) 1) (/.f64 1/2 (*.f64 x x))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
	3.1b	(.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)))) 3) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	57.0b	(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
	1.9b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 3/4 (pow.f64 x -4))))) (/.f64 1/2 (*.f64 x x))))))
	2.7b	(.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.1b	(.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))))) (.f64 x (sqrt.f64 (PI.f64)))) 1/6) (.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))))) (.f64 x (sqrt.f64 (PI.f64)))) 1/6) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))) 2)))
	57.0b	(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
	2.9b	(.f64 (exp.f64 (+.f64 (.f64 x x) (log.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
	9.5b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.5b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	44.4b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
✓	57.0b	(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
	2.9b	(.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
	2.3b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (exp.f64 (.f64 x x))) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	9.5b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))) 2) (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))) (.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2)))) (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))))
	8.5b	(.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) 1/3) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.9b	(pow.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) 3)
	2.6b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3) 3) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	55.8b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	9.7b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.8b	(.f64 (.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (.f64 x x) 1/3))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) 3)
	1.6b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	44.4b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
	3.0b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))))) (sqrt.f64 (PI.f64))) x)
	1.6b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.4b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.0b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))))) x) (sqrt.f64 (PI.f64)))
	2.3b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	48.1b	(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
	2.1b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))) 3) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	56.5b	(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
	3.3b	(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (+.f64 (-.f64 (.f64 x x) (log.f64 x)) (*.f64 -1/2 (log.f64 (PI.f64))))))
	1.8b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.1b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
✓	1.2b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
✓	1.2b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
✓	1.3b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	56.5b	(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	1.7b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.5b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (.f64 (.f64 x x) 1/3)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	7.4b	(.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.8b	(.f64 (neg.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.0b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/3) 3) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	44.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
	1.3b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Compiler

Compiled 3284 to 2387 computations (27.3% saved)

regimes593.0ms (4.8%)

Counts

177 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))))) (.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))))) (cbrt.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (+.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))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (+.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))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)) (+.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 (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (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))) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.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 (expm1.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (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 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))))) (.f64 x (sqrt.f64 (PI.f64)))) 1/6) (.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))))) (.f64 x (sqrt.f64 (PI.f64)))) 1/6) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))) 2)))

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

Calls

4 calls:

127.0ms	(fabs.f64 x)
95.0ms	(fabs.f64 x)
94.0ms	x
92.0ms	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	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))))))
1.2b	1	`(fabs.f64 x)`
1.2b	1	`(fabs.f64 x)`

Compiler

Compiled 6341 to 3693 computations (41.8% saved)

regimes57.0ms (0.5%)

Counts

56 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (neg.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) -1/2)) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (exp.f64 (+.f64 (.f64 x x) (log.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))

Outputs

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 1261 to 779 computations (38.2% saved)

regimes49.0ms (0.4%)

Counts

48 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (neg.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64)))) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 1013 to 633 computations (37.5% saved)

regimes40.0ms (0.3%)

Counts

42 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 820 to 524 computations (36.1% saved)

regimes35.0ms (0.3%)

Counts

38 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
2.6b	1	`x`

Compiler

Compiled 699 to 462 computations (33.9% saved)

regimes26.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))

Outputs
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
44.4b	1	`x`

Compiler

Compiled 398 to 266 computations (33.2% saved)

regimes63.0ms (0.5%)

Counts

23 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))

Outputs
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
48.1b	1	`x`

Compiler

Compiled 322 to 228 computations (29.2% saved)

regimes29.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
55.8b	1	`x`

Compiler

Compiled 247 to 175 computations (29.1% saved)

regimes45.0ms (0.4%)

Counts

16 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))

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

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
56.5b	1	`x`

Compiler

Compiled 217 to 155 computations (28.6% saved)

regimes22.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)

Outputs
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
57.0b	1	`x`

Compiler

Compiled 136 to 102 computations (25% saved)

regimes20.0ms (0.2%)

Accuracy

Total -0.2b remaining (-0.4%)

Threshold costs -0.2b (-0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (/.f64 1 (.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 -15/8 (/.f64 1 (.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (/.f64 225/64 (-.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))
(sqrt.f64 (-.f64 (+.f64 1 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14)))) 1))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))

Outputs
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
57.0b	1	`x`

Compiler

Compiled 124 to 93 computations (25% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
21×	`+-commutative_binary64`
12×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	406
1	116	406
2	131	406
3	146	404
4	159	404
5	174	404
6	185	404
7	195	404
8	198	404
9	199	404

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))

Outputs
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 x) (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))))
(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -1 (pow.f64 (PI.f64) -1/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -1 (pow.f64 (PI.f64) -1/2))) (neg.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x))))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -1 (pow.f64 (PI.f64) -1/2))) (+.f64 -1 (neg.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x))))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -1 (pow.f64 (PI.f64) -1/2))) (-.f64 -1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.f64 x x)) x)))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(+.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) -1)
(sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))

Compiler

Compiled 272 to 204 computations (25% saved)

soundness523.0ms (4.2%)

Algorithm

2×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
639×	`associate-/l*_binary64`
626×	`associate-*l/_binary64`
454×	`associate-*r/_binary64`
442×	`sqr-pow_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	321	58
3	1510	52
4	5398	49
5	6315	47
6	7322	47
0	71	1001
1	181	888
2	554	736
3	2772	661
4	4655	651
5	5337	651
6	5692	651
7	6546	651
8	7132	635
9	7966	635

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 5046 to 3362 computations (33.4% saved)

end145.0ms (1.2%)

Compiler: Compiled 262 to 167 computations (36.3% saved)

Iter	Nodes	Cost
0	75	406
1	116	406
2	131	406
3	146	404
4	159	404
5	174	404
6	185	404
7	195	404
8	198	404
9	199	404

Iter	Nodes	Cost
0	75	406
1	116	406
2	131	406
3	146	404
4	159	404
5	174	404
6	185	404
7	195	404
8	198	404
9	199	404

Iter	Nodes	Cost
0	75	406
1	116	406
2	131	406
3	146	404
4	159	404
5	174	404
6	185	404
7	195	404
8	198	404
9	199	404