Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12

Compiler

Compiled 71 to 33 computations (53.5% saved)

sample2.0s (21%)

Results

2.0s	8256×	body	256	valid
0.0ms	1×	body	256	invalid

preprocess86.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

745×	`distribute-lft-out_binary64`
585×	`associate-/l*_binary64`
537×	`unswap-sqr_binary64`
452×	`associate-/r*_binary64`
443×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	75
1	74	59
2	251	41
3	1199	37
4	2391	37
5	5155	37
6	5982	37
7	6353	33
8	7840	33
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

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

Compiler

Compiled 69 to 32 computations (53.6% saved)

simplify724.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

745×	`distribute-lft-out_binary64`
585×	`associate-/l*_binary64`
537×	`unswap-sqr_binary64`
452×	`associate-/r*_binary64`
443×	`associate-*r/_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	75
1	74	59
2	251	41
3	1199	37
4	2391	37
5	5155	37
6	5982	37
7	6353	33
8	7840	33

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

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

eval1.0ms (0%)

Compiler: Compiled 90 to 46 computations (48.9% saved)

prune2.0ms (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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
▶	0.5b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))

Status

Error

Program

▶

0.1b

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

▶

0.5b

(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))

Compiler

Compiled 91 to 49 computations (46.2% saved)

localize79.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
✓	0.1b	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
✓	0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 405 to 117 computations (71.1% saved)

series25.0ms (0.3%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
2.0ms	x	@	0	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
2.0ms	x	@	-inf	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
2.0ms	x	@	inf	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
1.0ms	x	@	-inf	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

294×	`add-sqr-sqrt_binary64`
277×	`*-un-lft-identity_binary64`
277×	`pow1_binary64`
276×	`add-cbrt-cube_binary64`
274×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	89
1	619	52

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))
(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))

Outputs
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(fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) -1/2) 3) (pow.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) 3) (pow.f64 (pow.f64 (PI.f64) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5)))) (/.f64 (.f64 (.f64 1/21 x) (pow.f64 x 6)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5)))) (pow.f64 (PI.f64) -1/2) (/.f64 (.f64 (.f64 1/21 x) (pow.f64 x 6)) (sqrt.f64 (PI.f64))))))))

simplify149.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1881×	`fma-def_binary64`
591×	`sqr-pow_binary64`
578×	`associate-l_binary64`
550×	`*-commutative_binary64`
450×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	720
1	57	720
2	138	720
3	428	696
4	1143	696
5	3387	696
6	3768	696
7	3869	696
8	3998	696
9	4196	696
10	4487	696
11	6491	696
12	7005	696
13	7669	696

Stop Event

1×	node limit

Counts

137 → 105

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))

Outputs
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 (/.f64 1 (PI.f64))))

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2/3 (*.f64 x x) 2)
✓	0.1b	(*.f64 1/21 (pow.f64 x 7))
✓	0.3b	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 105 to 68 computations (35.2% saved)

series8.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
1.0ms	x	@	0	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
1.0ms	x	@	inf	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
1.0ms	x	@	0	(*.f64 1/21 (pow.f64 x 7))
0.0ms	x	@	inf	(fma.f64 2/3 (*.f64 x x) 2)

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`log-prod_binary64`
312×	`expm1-udef_binary64`
312×	`log1p-udef_binary64`
308×	`pow1/3_binary64`
280×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	382	46
2	4281	46

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs
(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(*.f64 1/21 (pow.f64 x 7))
(fma.f64 2/3 (*.f64 x x) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) 2) (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) 2) (.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change 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Outputs

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

simplify142.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1669×	`fma-def_binary64`
720×	`sqr-pow_binary64`
439×	`*-commutative_binary64`
439×	`unswap-sqr_binary64`
424×	`cube-prod_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	37	549
1	105	471
2	268	399
3	790	393
4	2105	393
5	2555	393
6	3390	393
7	3556	393
8	3791	393
9	4081	387
10	5506	387
11	6034	387
12	6705	387
13	7552	387

Stop Event

1×	node limit

Counts

104 → 100

Calls

Call 1

Inputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
2
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)

Outputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 x (*.f64 x 2/3) 2)))
(.f64 x (.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (fma.f64 x (.f64 x 2/3) 2)) (.f64 1/5 (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 2/3 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))) (fma.f64 2 x (*.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (*.f64 2 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (.f64 2 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/21 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))) (fma.f64 2 x (*.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (*.f64 2 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (.f64 2 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/21 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))) (fma.f64 2 x (*.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (*.f64 2 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (.f64 2 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))))
2
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(.f64 x (.f64 x 2/3))
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(.f64 x (.f64 x 2/3))
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)

eval198.0ms (2%)

Compiler: Compiled 9151 to 5237 computations (42.8% saved)

prune48.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	222	11	233
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	224	11	235

Error

Counts

235 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	56.2b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
▶	4.6b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
	4.4b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))))
▶	0.8b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	4.5b	(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
	0.5b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
▶	0.5b	(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
	4.5b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
	56.4b	(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
▶	56.4b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
	1.2b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))

Compiler

Compiled 398 to 334 computations (16.1% saved)

localize57.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/21 (pow.f64 x 7))
✓	0.3b	(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1)
✓	0.3b	(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 131 to 86 computations (34.4% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1)
1.0ms	x	@	0	(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))))
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))))
1.0ms	x	@	0	(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1)
1.0ms	x	@	inf	(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1)

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`log-prod_binary64`
338×	`expm1-udef_binary64`
338×	`log1p-udef_binary64`
286×	`log-pow_binary64`
209×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	65
1	423	62
2	4712	62

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs

(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))

(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x 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1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 1 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))) 1))))))

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

484×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`
377×	`associate-l_binary64`
339×	`associate-r_binary64`
253×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	995
1	376	780
2	1277	660
3	4608	633

Stop Event

1×	node limit

Counts

105 → 114

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 11/3780 (.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))))
(.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (.f64 -441/5 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1911/25 (.f64 (/.f64 1 (pow.f64 x 11)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (.f64 -441/5 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 3969/125 (.f64 (/.f64 1 (pow.f64 x 13)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1911/25 (.f64 (/.f64 1 (pow.f64 x 11)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (.f64 -441/5 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (PI.f64)))))))
(.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (.f64 -441/5 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1911/25 (.f64 (/.f64 1 (pow.f64 x 11)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (.f64 -441/5 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 3969/125 (.f64 (/.f64 1 (pow.f64 x 13)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1911/25 (.f64 (/.f64 1 (pow.f64 x 11)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (.f64 -441/5 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (PI.f64)))))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 5)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/135 (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 11/945 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/3 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64)))))))) (pow.f64 x 7))) (.f64 -1 (.f64 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 5))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 13/75 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -21/25 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 13/75 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -21/25 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 21/5 (+.f64 (.f64 13/75 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -21/25 (sqrt.f64 (/.f64 1 (PI.f64)))))) (+.f64 (.f64 91/125 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 9/125 (sqrt.f64 (/.f64 1 (PI.f64)))))) x)) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 (+.f64 (.f64 21/25 (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -13/75 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 3))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (+.f64 (.f64 21/25 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -13/75 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -91/125 (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 -9/125 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 21/5 (+.f64 (.f64 21/25 (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -13/75 (sqrt.f64 (/.f64 1 (PI.f64)))))))) x))))

Outputs
(.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))))
(.f64 (.f64 1/2 (/.f64 1 x)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) x)
(*.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 x 1/2))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6)))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (*.f64 1/180 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (.f64 x -1/6) (/.f64 1/2 x)) (*.f64 1/180 (pow.f64 x 3))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 11/3780 (.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (fma.f64 11/3780 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5)) (fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (.f64 1/180 (pow.f64 x 3)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (*.f64 11/3780 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (.f64 x -1/6) (.f64 1/180 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (.f64 11/3780 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)) (+.f64 (/.f64 1/2 x) (*.f64 11/3780 (pow.f64 x 5)))))
(.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(.f64 21 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 21 (pow.f64 x 7)))
(+.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (.f64 -441/5 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (PI.f64)))))
(fma.f64 21 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7))) (.f64 -441/5 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 9)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 21 (pow.f64 x 7)) (/.f64 -441/5 (pow.f64 x 9))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 -441/5 (pow.f64 x 9)) (/.f64 21 (pow.f64 x 7))))
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(fma.f64 1911/25 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 11))) (fma.f64 21 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7))) (.f64 -441/5 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 9))))))
(fma.f64 1911/25 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 11)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 21 (pow.f64 x 7)) (/.f64 -441/5 (pow.f64 x 9)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 -441/5 (pow.f64 x 9)) (+.f64 (/.f64 21 (pow.f64 x 7)) (/.f64 1911/25 (pow.f64 x 11)))))
(+.f64 (.f64 3969/125 (.f64 (/.f64 1 (pow.f64 x 13)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1911/25 (.f64 (/.f64 1 (pow.f64 x 11)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (.f64 -441/5 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (PI.f64)))))))
(fma.f64 3969/125 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 13))) (fma.f64 1911/25 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 11))) (fma.f64 21 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7))) (.f64 -441/5 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 9)))))))
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(.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(.f64 21 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 21 (pow.f64 x 7)))
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(fma.f64 21 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7))) (.f64 -441/5 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 9)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 21 (pow.f64 x 7)) (/.f64 -441/5 (pow.f64 x 9))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 -441/5 (pow.f64 x 9)) (/.f64 21 (pow.f64 x 7))))
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(fma.f64 1911/25 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 11))) (fma.f64 21 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7))) (.f64 -441/5 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 9))))))
(fma.f64 1911/25 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 11)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 21 (pow.f64 x 7)) (/.f64 -441/5 (pow.f64 x 9)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 -441/5 (pow.f64 x 9)) (+.f64 (/.f64 21 (pow.f64 x 7)) (/.f64 1911/25 (pow.f64 x 11)))))
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(fma.f64 3969/125 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 13))) (fma.f64 1911/25 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 11))) (fma.f64 21 (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7))) (.f64 -441/5 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 9)))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 21 (pow.f64 x 7)) (/.f64 -441/5 (pow.f64 x 9)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 3969/125 (pow.f64 x 13)) (/.f64 1911/25 (pow.f64 x 11)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (/.f64 -441/5 (pow.f64 x 9)) (/.f64 21 (pow.f64 x 7))) (+.f64 (/.f64 3969/125 (pow.f64 x 13)) (/.f64 1911/25 (pow.f64 x 11)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 2 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 2))
(.f64 x (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 2 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) 2/3)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 5)))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (neg.f64 (.f64 (pow.f64 x 5) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) 2/3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/5 (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 2)) (.f64 (pow.f64 x 5) -1/5)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (-.f64 (.f64 x 2) (.f64 (pow.f64 x 5) -1/5)) (.f64 (pow.f64 x 3) -2/3)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/135 (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 11/945 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/3 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64)))))))) (pow.f64 x 7))) (.f64 -1 (.f64 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 5))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -1 (.f64 (pow.f64 x 7) (fma.f64 1/135 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 11/945 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5) 1/3)))) (neg.f64 (.f64 (pow.f64 x 5) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5))))))
(+.f64 (neg.f64 (fma.f64 (pow.f64 x 7) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/15) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 2/105)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 -1/5 (pow.f64 x 5))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) 2/3))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 2)) (.f64 (pow.f64 x 5) -1/5))) (.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/21)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 1/21))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 7) 1/21) (*.f64 (pow.f64 x 5) 1/5)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 5) 1/5) (*.f64 (pow.f64 x 7) 1/21)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 13/75 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -21/25 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -2/3)) (fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 7) 1/21) (.f64 (pow.f64 x 5) 1/5))) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -2/3)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (.f64 (pow.f64 x 3) -2/3)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (.f64 (pow.f64 x 3) 2/3)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 13/75 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -21/25 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 21/5 (+.f64 (.f64 13/75 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -21/25 (sqrt.f64 (/.f64 1 (PI.f64)))))) (+.f64 (.f64 91/125 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 9/125 (sqrt.f64 (/.f64 1 (PI.f64)))))) x)) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -1 (.f64 (pow.f64 x 7) (fma.f64 1/135 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 11/945 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5) 1/3)))) (neg.f64 (.f64 (pow.f64 x 5) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5))))))
(+.f64 (neg.f64 (fma.f64 (pow.f64 x 7) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/15) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 2/105)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 -1/5 (pow.f64 x 5))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) 2/3))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 2)) (.f64 (pow.f64 x 5) -1/5))) (.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/21)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 1/21))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 7) 1/21) (*.f64 (pow.f64 x 5) 1/5)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 5) 1/5) (*.f64 (pow.f64 x 7) 1/21)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 (+.f64 (.f64 21/25 (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -13/75 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 3))))
(fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -2/3)) (fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 7) 1/21) (.f64 (pow.f64 x 5) 1/5))) (.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -2/3)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (.f64 (pow.f64 x 3) -2/3)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (.f64 (pow.f64 x 3) 2/3)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (+.f64 (.f64 21/25 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -13/75 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -91/125 (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 -9/125 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 21/5 (+.f64 (.f64 21/25 (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 -13/75 (sqrt.f64 (/.f64 1 (PI.f64)))))))) x))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -1 (.f64 (pow.f64 x 7) (fma.f64 1/135 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 11/945 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5) 1/3)))) (neg.f64 (.f64 (pow.f64 x 5) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5))))))
(+.f64 (neg.f64 (fma.f64 (pow.f64 x 7) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/15) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 2/105)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 -1/5 (pow.f64 x 5))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) 2/3))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 2)) (.f64 (pow.f64 x 5) -1/5))) (.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/21)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2))))

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))

Compiler

Compiled 32 to 24 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
1.0ms	x	@	inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	181	10
2	2049	10

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	15	156
2	22	156
3	24	156

Stop Event

1×

saturated

Counts

26 → 16

Calls

Call 1

Inputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
	0.1b	(*.f64 1/21 (pow.f64 x 7))

Compiler

Compiled 42 to 33 computations (21.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
1.0ms	x	@	inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`pow1_binary64`
894×	`add-log-exp_binary64`
893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
108×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	228	13
2	2541	13

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (*.f64 (pow.f64 x 14) 1/441)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 3/2) (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3) (pow.f64 (/.f64 1 (PI.f64)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64))))))))))

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
629×	`sqr-pow_binary64`
547×	`fabs-mul_binary64`
499×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	192
1	22	192
2	40	192
3	84	192
4	216	192
5	735	192
6	965	192
7	1290	192
8	2573	192
9	2674	192
10	2834	192
11	3040	192
12	3343	192
13	3771	192
14	4332	192
15	5010	192
16	5866	192
17	6526	192
18	7083	192
19	7645	192

Stop Event

1×	node limit

Counts

27 → 17

Calls

Call 1

Inputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))

localize44.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))
✓	0.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
✓	0.1b	(*.f64 1/5 (pow.f64 x 5))

Compiler

Compiled 67 to 53 computations (20.9% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
1.0ms	x	@	inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
1.0ms	x	@	0	(*.f64 1/5 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 1/5 (pow.f64 x 5))
0.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log-prod_binary64`
359×	`pow2_binary64`
348×	`pow-prod-down_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	314	41
2	3415	41

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(*.f64 1/5 (pow.f64 x 5))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/5 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 1/25) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/5 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/5) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 1/25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -4/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -4/5)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)) (*.f64 (*.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (pow.f64 x 7))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (pow.f64 x 7)) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2) (*.f64 (*.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/21 (pow.f64 x 7)) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/21 (pow.f64 x 7)) 1) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2)) (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3) (pow.f64 (*.f64 1/5 (pow.f64 x 5)) 3)) (+.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 2) (-.f64 (*.f64 (pow.f64 x 10) 1/25) (*.f64 (*.f64 1/21 (pow.f64 x 7)) (*.f64 1/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 2) (*.f64 (pow.f64 x 10) 1/25)) (-.f64 (*.f64 1/21 (pow.f64 x 7)) (*.f64 1/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5)) (exp.f64 (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 5)))) (exp.f64 (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/21 (pow.f64 x 7))) (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 1))))))

simplify176.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

788×	`sqr-pow_binary64`
654×	`cube-prod_binary64`
574×	`associate-l_binary64`
513×	`fabs-mul_binary64`
483×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	483
1	44	402
2	90	402
3	204	402
4	540	402
5	1702	402
6	2251	402
7	2889	402
8	3007	402
9	3180	402
10	3399	402
11	3731	402
12	4191	402
13	4790	402
14	5541	402
15	6475	402
16	6981	402
17	7465	402
18	7865	402

Stop Event

1×	node limit

Counts

93 → 79

Calls

Call 1

Inputs
(.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 1/5 (pow.f64 x 5))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(*.f64 1/21 (pow.f64 x 7))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(*.f64 1/21 (pow.f64 x 7))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))

Outputs
(.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (pow.f64 x 5) (.f64 1/5 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/5 (pow.f64 x 5)))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 1/21))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 1/21))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(*.f64 1/5 (pow.f64 x 5))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))
(*.f64 1/21 (pow.f64 x 7))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))
(*.f64 1/21 (pow.f64 x 7))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7))))
	0.1b	(*.f64 1/21 (pow.f64 x 7))
✓	0.3b	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 75 to 55 computations (26.7% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7))))
1.0ms	x	@	0	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
1.0ms	x	@	inf	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
1.0ms	x	@	-inf	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
0.0ms	x	@	inf	(fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7))))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary64`
382×	`pow2_binary64`
265×	`expm1-udef_binary64`
265×	`log1p-udef_binary64`
261×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	321	42
2	3607	42

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7))))

Outputs

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1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 1) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/4) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3) (pow.f64 (PI.f64) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/5 (pow.f64 x 5)) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/5 (pow.f64 x 5)) 1) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 x 2)) (*.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 5)) 3) (pow.f64 (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)) 3)) (+.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 5)) 2) (-.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)) 2) (*.f64 (*.f64 1/5 (pow.f64 x 5)) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 5)) 2) (pow.f64 (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)) 2)) (-.f64 (*.f64 1/5 (pow.f64 x 5)) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (exp.f64 (*.f64 1/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (exp.f64 (*.f64 1/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/5 (pow.f64 x 5))) (+.f64 1 (expm1.f64 (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 1))))))

simplify165.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

788×	`sqr-pow_binary64`
603×	`associate-l_binary64`
584×	`fma-def_binary64`
528×	`cube-prod_binary64`
477×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	573
1	67	504
2	148	438
3	332	438
4	720	438
5	2035	438
6	2839	438
7	3477	438
8	3595	438
9	3768	438
10	3987	438
11	4319	438
12	4779	438
13	5378	438
14	6130	438
15	7064	438
16	7570	438

Stop Event

1×	node limit

Counts

94 → 88

Calls

Call 1

Inputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(*.f64 1/21 (pow.f64 x 7))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(*.f64 1/21 (pow.f64 x 7))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))

Outputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 x (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (.f64 1/5 (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 2 x)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (.f64 1/5 (pow.f64 x 5)))) (.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 2 x))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (.f64 1/5 (pow.f64 x 5)))) (.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 2 x))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 1/21))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (.f64 1/5 (pow.f64 x 5)))) (.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 2 x))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (.f64 1/5 (pow.f64 x 5)))) (.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 2 x))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 1/21))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (.f64 1/5 (pow.f64 x 5)))) (.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 2 x))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 1/5 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (.f64 1/5 (pow.f64 x 5)))) (.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 2 x))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5)))
(fma.f64 2 x (*.f64 1/5 (pow.f64 x 5)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 2 x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 2 x)))
(*.f64 1/21 (pow.f64 x 7))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 2 x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 2 x)))
(*.f64 1/21 (pow.f64 x 7))
(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
(fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 2 x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 2 x)))

eval269.0ms (2.8%)

Compiler: Compiled 9973 to 7403 computations (25.8% saved)

prune97.0ms (1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	404	14	418
Fresh	6	0	6
Picked	1	0	1
Done	2	2	4
Total	413	16	429

Error

Counts

429 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2)))))
	4.9b	(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)) (+.f64 (/.f64 1/2 x) (*.f64 11/3780 (pow.f64 x 5))))) -1))
✓	4.6b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
	4.4b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (-.f64 (.f64 x 2) (.f64 (pow.f64 x 5) -1/5)) (.f64 (pow.f64 x 3) -2/3))))
▶	4.9b	(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
	4.5b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
	4.9b	(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x))) -1))
	56.4b	(fabs.f64 (pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1))
	59.7b	(fabs.f64 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))))
	56.4b	(fabs.f64 (pow.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))) 1))
▶	5.0b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	59.7b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
▶	56.2b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
▶	56.4b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
✓	56.4b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
	60.2b	(fabs.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 3)))

Compiler

Compiled 478 to 414 computations (13.4% saved)

localize67.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 x 7) 1/21)
✓	0.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2))))
✓	0.1b	(*.f64 (pow.f64 x 5) 1/5)
✓	0.1b	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 139 to 111 computations (20.1% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2))))
1.0ms	x	@	0	(*.f64 (pow.f64 x 3) 2/3)
1.0ms	x	@	inf	(*.f64 (pow.f64 x 3) 2/3)
1.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 2/3)
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2))))

rewrite118.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`expm1-udef_binary64`
434×	`log1p-udef_binary64`
262×	`add-sqr-sqrt_binary64`
249×	`add-log-exp_binary64`
249×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	57
1	544	52
2	7070	52

Stop Event

1×	node limit

Counts

4 → 74

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) 2/3)
(*.f64 (pow.f64 x 5) 1/5)
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2))))
(*.f64 (pow.f64 x 7) 1/21)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8/27 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4/9 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 3) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 8/27 (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 5) 1/5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 5) 1/5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 x 5) 1/5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/5) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 x 5) 1/5) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/25 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 5) 1/5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 x 5) 1/5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x 5) 1/5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 5) 1/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 x 5) 1/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 5) 1/5)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 x 5) 1/5) (pow.f64 (PI.f64) -1/2)) (.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64))) 1) (.f64 (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21))) (pow.f64 (PI.f64) -1/2)) (.f64 (.f64 x 2) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 (pow.f64 x 5) 1/5)) (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (.f64 (pow.f64 x 3) 2/3) (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)))) (.f64 (pow.f64 (PI.f64) -1/2) (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 3) (pow.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) 3)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 2) (.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (-.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 2) (pow.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) 2)) (.f64 (sqrt.f64 (PI.f64)) (-.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 3) (pow.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) 3)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 2) (.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (-.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21))))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 2) (pow.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) 2)) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64))) 3) (pow.f64 (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64))) 3)) (+.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64)))) (-.f64 (.f64 (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64))))) (-.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 3) (pow.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) 3)) (pow.f64 (PI.f64) -1/2)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 2) (.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (-.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 2) (pow.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) 2)) (pow.f64 (PI.f64) -1/2)) (-.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 3) (pow.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) 3))) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 2) (.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (-.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) -1/2) (-.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) 2) (pow.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) 2))) (-.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (PI.f64)) 3/2) (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/5 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 5) 1/5 (.f64 (pow.f64 x 7) 1/21)) (pow.f64 (PI.f64) -1/2) (/.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (sqrt.f64 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 7) 1/21))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 7) 1/21) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 x 7) 1/21)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 x 7) 1/21)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/9261 (pow.f64 (pow.f64 x 7) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/441 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 7) 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/9261 (pow.f64 (pow.f64 x 7) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x 7) 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 7) 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 x 7) 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (pow.f64 x 7) 1/21)) 1))))))

simplify147.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1205×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
594×	`cube-prod_binary64`
429×	`fabs-mul_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	37	714
1	98	636
2	259	564
3	797	558
4	1884	558
5	2061	558
6	2262	558
7	2704	558
8	3583	558
9	3726	552
10	4480	552
11	4866	552
12	5462	552
13	6335	552
14	7442	552

Stop Event

1×	node limit

Counts

122 → 92

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))

Outputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 x (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)))
(.f64 x (.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)) (*.f64 1/5 (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (.f64 x 2))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (.f64 1/5 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (fma.f64 x 2 (fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/21 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (*.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (.f64 1/5 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (fma.f64 x 2 (fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/21 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (*.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (.f64 1/5 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (fma.f64 x 2 (fma.f64 1/21 (pow.f64 x 7) (*.f64 1/5 (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/21 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (*.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
1.0ms	x	@	inf	(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
0.0ms	x	@	-inf	(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
707×	`add-log-exp_binary64`
707×	`log1p-expm1-u_binary64`
707×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	147	10
2	1896	10

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	15	156
2	22	156
3	24	156

Stop Event

1×

saturated

Counts

53 → 43

Calls

Call 1

Inputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/21 (pow.f64 x 7))
✓	0.1b	(/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))
1.0ms	x	@	inf	(/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))
1.0ms	x	@	-inf	(/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
887×	`add-log-exp_binary64`
887×	`log1p-expm1-u_binary64`
887×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	194	13
2	2392	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/21 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/21 (*.f64 (pow.f64 x 7) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 7) (*.f64 1/21 (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 14) 1/441) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 14) 1/441) (PI.f64))) (cbrt.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (*.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) (*.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 7) -1/21) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 7) 1) (/.f64 1/21 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) 1) (/.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) 1) (/.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/21 (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 x 7) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 7) (cbrt.f64 (PI.f64))) (/.f64 1/21 (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (*.f64 1/21 (pow.f64 x 7)) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) (cbrt.f64 (PI.f64))) (/.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/21 (pow.f64 (PI.f64) 1/4)) (/.f64 (pow.f64 x 7) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 7) (pow.f64 (PI.f64) 1/4)) (/.f64 1/21 (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (*.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 x 14) 1/441) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))))

simplify133.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
629×	`sqr-pow_binary64`
547×	`fabs-mul_binary64`
499×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	192
1	22	192
2	40	192
3	84	192
4	216	192
5	735	192
6	965	192
7	1290	192
8	2573	192
9	2674	192
10	2834	192
11	3040	192
12	3343	192
13	3771	192
14	4332	192
15	5010	192
16	5866	192
17	6526	192
18	7083	192
19	7645	192

Stop Event

1×	node limit

Counts

54 → 44

Calls

Call 1

Inputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1)
✓	0.3b	(.f64 x (+.f64 (.f64 1/180 (*.f64 x x)) -1/6))
✓	0.4b	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 102 to 61 computations (40.2% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1)
1.0ms	x	@	-inf	(pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1)
1.0ms	x	@	0	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6))))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6))))
1.0ms	x	@	inf	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6))))

rewrite118.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`log-prod_binary64`
524×	`fma-def_binary64`
306×	`expm1-udef_binary64`
306×	`log1p-udef_binary64`
291×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	366	54
2	4969	54

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (*.f64 x (+.f64 (*.f64 1/180 (*.f64 x x)) -1/6))))

(*.f64 x (+.f64 (*.f64 1/180 (*.f64 x x)) -1/6))

(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (*.f64 x (+.f64 (*.f64 1/180 (*.f64 x x)) -1/6)))) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 x)) (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (fma.f64 x (*.f64 x 1/180) -1/6) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 x)) 1) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (fma.f64 x (fma.f64 x (*.f64 x 1/180) -1/6) (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (fma.f64 x (fma.f64 x (*.f64 x 1/180) -1/6) (/.f64 1/2 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) 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simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def_binary64`
726×	`fma-neg_binary64`
619×	`times-frac_binary64`
618×	`cancel-sign-sub-inv_binary64`
481×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1037
1	306	831
2	1002	718
3	3949	710

Stop Event

1×	node limit

Counts

184 → 181

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 -1/6 x)
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(*.f64 1/180 (pow.f64 x 3))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(*.f64 1/180 (pow.f64 x 3))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 5)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/135 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/3 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))))) (pow.f64 x 7))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 5))))))
(.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (/.f64 (+.f64 (.f64 -162000 (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 16200 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 7)))))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 30 (+.f64 (.f64 -162000 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 16200 (sqrt.f64 (/.f64 1 (PI.f64)))))) (.f64 486000 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 9))) (.f64 -1 (/.f64 (+.f64 (.f64 -162000 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 16200 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 7))))))
(.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 162000 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -16200 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 162000 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -486000 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 30 (/.f64 (+.f64 (.f64 162000 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -16200 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 9))) (.f64 -16200 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))))

Outputs
(.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))))
(.f64 (.f64 1/2 (/.f64 1 x)) (sqrt.f64 (PI.f64)))
(*.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (.f64 1/180 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (fma.f64 1/180 (pow.f64 x 3) (.f64 x -1/6))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (.f64 1/180 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (fma.f64 1/180 (pow.f64 x 3) (.f64 x -1/6))))
(.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))
(.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 (sqrt.f64 (PI.f64)) 1/180))
(+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (.f64 1/180 (pow.f64 x 3))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/180 (pow.f64 x 3) (.f64 x -1/6)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (.f64 1/180 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (fma.f64 1/180 (pow.f64 x 3) (.f64 x -1/6))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (.f64 1/180 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (fma.f64 1/180 (pow.f64 x 3) (.f64 x -1/6))))
(.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))
(.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 (sqrt.f64 (PI.f64)) 1/180))
(+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (.f64 1/180 (pow.f64 x 3))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/180 (pow.f64 x 3) (.f64 x -1/6)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (.f64 1/180 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (fma.f64 1/180 (pow.f64 x 3) (.f64 x -1/6))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/180 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (fma.f64 1/180 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3)) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (.f64 1/180 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (fma.f64 1/180 (pow.f64 x 3) (.f64 x -1/6))))
(*.f64 -1/6 x)
(*.f64 x -1/6)
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(fma.f64 -1/6 x (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 x -1/6 (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(fma.f64 -1/6 x (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 x -1/6 (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(fma.f64 -1/6 x (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 x -1/6 (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))
(*.f64 1/180 (pow.f64 x 3))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(fma.f64 -1/6 x (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 x -1/6 (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(fma.f64 -1/6 x (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 x -1/6 (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(fma.f64 -1/6 x (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 x -1/6 (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))
(*.f64 1/180 (pow.f64 x 3))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(fma.f64 -1/6 x (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 x -1/6 (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(fma.f64 -1/6 x (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 x -1/6 (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))
(+.f64 (.f64 -1/6 x) (.f64 1/180 (pow.f64 x 3)))
(fma.f64 -1/6 x (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 x -1/6 (*.f64 1/180 (pow.f64 x 3)))
(fma.f64 1/180 (pow.f64 x 3) (*.f64 x -1/6))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 x (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) 2/3)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 5)))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5) (pow.f64 x 5)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) 2/3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 -1/5 (pow.f64 x 5))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (*.f64 (pow.f64 x 5) -1/5)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (*.f64 (pow.f64 x 5) 1/5)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/135 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/3 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))))) (pow.f64 x 7))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1 (.f64 (+.f64 (.f64 -2/9 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/45 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 5))))))
(fma.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -1 (.f64 (fma.f64 1/135 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5) 1/3)) (pow.f64 x 7)) (fma.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (neg.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/5) (pow.f64 x 5))))))
(+.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) 2/3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 -1/5 (pow.f64 x 5)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 1/135 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/15)) (neg.f64 (pow.f64 x 7))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (.f64 (pow.f64 x 5) -1/5))) (.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -8/135) (pow.f64 x 7)))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 x 2 (.f64 (pow.f64 x 3) 2/3)) (.f64 (pow.f64 x 5) 1/5)) (.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 8/135)))
(.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 180 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 3)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 180 (pow.f64 x 3)))
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(fma.f64 5400 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 180 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 3))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5))))
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(fma.f64 5400 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (fma.f64 180 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 3)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -145800) (pow.f64 x 7)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5)))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 7) -145800)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5))) (/.f64 145800 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 180 (pow.f64 x 3)) (+.f64 (/.f64 145800 (pow.f64 x 7)) (/.f64 5400 (pow.f64 x 5)))))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 30 (+.f64 (.f64 -162000 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 16200 (sqrt.f64 (/.f64 1 (PI.f64)))))) (.f64 486000 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 9))) (.f64 -1 (/.f64 (+.f64 (.f64 -162000 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 16200 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 7))))))
(fma.f64 5400 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (fma.f64 180 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (fma.f64 30 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -145800) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 486000)) (pow.f64 x 9)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -145800) (pow.f64 x 7))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5)))) (-.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 486000 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -4374000))) (pow.f64 x 9)) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 7) -145800))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5))) (/.f64 145800 (pow.f64 x 7)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -3888000) (pow.f64 x 9)))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5))) (/.f64 145800 (pow.f64 x 7))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 3888000) (pow.f64 x 9)))
(.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 180 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 3)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 180 (pow.f64 x 3)))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 5400 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 180 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 3))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5))))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 162000 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -16200 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 5400 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (fma.f64 180 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 3)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -145800) (pow.f64 x 7)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5)))) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 7) -145800)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5))) (/.f64 145800 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 180 (pow.f64 x 3)) (+.f64 (/.f64 145800 (pow.f64 x 7)) (/.f64 5400 (pow.f64 x 5)))))
(+.f64 (.f64 5400 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 180 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 162000 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -486000 (.f64 (/.f64 1 (pow.f64 x 9)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 30 (/.f64 (+.f64 (.f64 162000 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -16200 (sqrt.f64 (/.f64 1 (PI.f64))))) (pow.f64 x 9))) (.f64 -16200 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))))
(fma.f64 5400 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (fma.f64 180 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 3)) (fma.f64 162000 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) (fma.f64 -486000 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 9))) (fma.f64 30 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 145800) (pow.f64 x 9)) (.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) -16200))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5)))) (+.f64 (fma.f64 -486000 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 9)) (.f64 30 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 9) 145800)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) 145800)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5))) (/.f64 145800 (pow.f64 x 7)))) (fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -486000 (pow.f64 x 9)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 4374000) (pow.f64 x 9))))
(+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 145800) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 30 (pow.f64 x 9)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -486000 (pow.f64 x 9)) (+.f64 (/.f64 180 (pow.f64 x 3)) (/.f64 5400 (pow.f64 x 5))))))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/21 (pow.f64 x 7))
✓	0.1b	(/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))
	0.1b	(*.f64 1/5 (pow.f64 x 5))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 65 to 49 computations (24.6% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

(/.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))

1.0ms

inf

(/.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))

1.0ms

(/.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
379×	`pow2_binary64`
310×	`fma-def_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	311	20
2	3856	20

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (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 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2) (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (*.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 1) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2) (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 3) (pow.f64 (PI.f64) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) 1))))))

simplify163.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

788×	`sqr-pow_binary64`
654×	`cube-prod_binary64`
604×	`fabs-mul_binary64`
507×	`associate-l_binary64`
469×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	336
1	39	273
2	83	255
3	187	255
4	473	255
5	1529	255
6	2095	255
7	2745	255
8	2864	255
9	3037	255
10	3256	255
11	3588	255
12	4048	255
13	4649	255
14	5401	255
15	6331	255
16	6841	255
17	7331	255
18	7731	255

Stop Event

1×	node limit

Counts

51 → 46

Calls

Call 1

Inputs
(.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))

Outputs
(.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/5 (pow.f64 x 5)))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))
(+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))

eval288.0ms (3%)

Compiler: Compiled 12171 to 8987 computations (26.2% saved)

prune104.0ms (1.1%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	556	11	567
Fresh	6	3	9
Picked	0	1	1
Done	3	3	6
Total	565	18	583

Error

Counts

583 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	56.4b	(fabs.f64 (pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1))
	59.7b	(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
✓	0.1b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2)))))
	4.9b	(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)) (+.f64 (/.f64 1/2 x) (*.f64 11/3780 (pow.f64 x 5))))) -1))
▶	4.6b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
	56.2b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
▶	56.4b	(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
▶	4.9b	(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1))
	5.4b	(fabs.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
	56.4b	(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
	4.5b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2))))
	5.0b	(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
✓	4.9b	(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
▶	4.5b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
✓	5.0b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
✓	56.2b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	59.7b	(fabs.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 14) 1/441) (PI.f64))))
	56.4b	(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7))))

Compiler

Compiled 462 to 397 computations (14.1% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (*.f64 x x)) 2))
✓	0.1b	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))
✓	0.2b	(.f64 2/3 (.f64 x x))

Compiler

Compiled 69 to 44 computations (36.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))
1.0ms	x	@	inf	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))
1.0ms	x	@	-inf	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))
0.0ms	x	@	0	(.f64 2/3 (.f64 x x))
0.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (*.f64 x x)) 2))

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
401×	`prod-diff_binary64`
330×	`pow2_binary64`
231×	`pow1/3_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	281	38
2	3539	38

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs
(.f64 2/3 (.f64 x x))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (*.f64 x x)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/9 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/27 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/3 (*.f64 x x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (*.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (*.f64 x x))) (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2) (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 8/27 (pow.f64 (*.f64 x x) 3) 8)) (-.f64 (fma.f64 4/9 (pow.f64 x 4) 4) (*.f64 (*.f64 x x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 4/9 (pow.f64 x 4) -4)) (fma.f64 2/3 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (*.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64))) x (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (*.f64 x x)) (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2 (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (*.f64 x x))))))))

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-1/2) (*.f64 x (sqrt.f64 2/3))) (*.f64 x (sqrt.f64 2/3)) (/.f64 2 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 2/3 x)) x (/.f64 2 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 1 (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) -1/2)) (/.f64 2 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2/3 (*.f64 x x)) (sqrt.f64 (pow.f64 (PI.f64) -1/2))) (sqrt.f64 (pow.f64 (PI.f64) -1/2)) (/.f64 2 (sqrt.f64 (PI.f64))))))))

simplify190.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1138×	`sqr-pow_binary64`
676×	`pow-sqr_binary64`
664×	`cube-prod_binary64`
570×	`fabs-mul_binary64`
380×	`unpow3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	666
1	51	540
2	113	504
3	274	504
4	828	504
5	1262	504
6	1822	504
7	1938	504
8	2088	504
9	2275	504
10	2530	504
11	2864	504
12	3271	504
13	3801	504
14	4463	504
15	5291	504
16	5690	504
17	6058	504
18	6392	504
19	6640	504
20	6862	504

Stop Event

1×	node limit

Counts

155 → 132

Calls

Call 1

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

Outputs
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 x (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2)))
(*.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))
(.f64 2/3 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 x x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 2/3))
(.f64 2/3 (.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 x (.f64 x (*.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))
(.f64 2/3 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 x x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 2/3))
(.f64 2/3 (.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 x (.f64 x (*.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)
0.0ms	x	@	inf	(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)
0.0ms	x	@	-inf	(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)

rewrite154.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
628×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	148	10
2	1778	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	15	156
2	22	156
3	24	156

Stop Event

1×

saturated

Counts

35 → 25

Calls

Call 1

Inputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))
✓	0.1b	(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))
0.0ms	x	@	0	(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
0.0ms	x	@	inf	(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
0.0ms	x	@	-inf	(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
0.0ms	x	@	inf	(/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`pow1_binary64`
853×	`add-log-exp_binary64`
853×	`log1p-expm1-u_binary64`
853×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	194	23
2	2323	23

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/21 (pow.f64 x 7))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 x 7)) 1/21) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/21 (neg.f64 (pow.f64 x 7))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (pow.f64 x 14) (PI.f64)) 1/441))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/21) (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))))))))))

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

simplify152.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
629×	`sqr-pow_binary64`
544×	`fabs-mul_binary64`
498×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	348
1	22	348
2	40	348
3	83	348
4	215	348
5	726	348
6	953	348
7	1278	348
8	2561	348
9	2662	348
10	2821	348
11	3027	348
12	3336	348
13	3764	348
14	4330	348
15	5008	348
16	5864	348
17	6528	348
18	7087	348
19	7645	348

Stop Event

1×	node limit

Counts

75 → 55

Calls

Call 1

Inputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (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))) (pow.f64 x 7))
(*.f64 (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))) (pow.f64 x 7))
(*.f64 (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))) (pow.f64 x 7))
(*.f64 (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))) (pow.f64 x 7))

Outputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7)))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1)
✓	0.3b	(*.f64 x -1/6)
✓	0.4b	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 56 to 38 computations (32.1% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6)))
1.0ms	x	@	inf	(pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1)
1.0ms	x	@	inf	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6)))
1.0ms	x	@	-inf	(pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1)
1.0ms	x	@	0	(pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1)

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`log-prod_binary64`
431×	`pow-prod-down_binary64`
336×	`pow2_binary64`
325×	`fma-def_binary64`
230×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	267	33
2	3521	33

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6)))
(*.f64 x -1/6)
(pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 x)) (*.f64 x (*.f64 -1/6 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/6 (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 x)) 1) (*.f64 (*.f64 x (*.f64 -1/6 (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (fma.f64 x -1/6 (/.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (fma.f64 x -1/6 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (fma.f64 x -1/6 (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (fma.f64 x -1/6 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simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1946×	`fma-def_binary64`
537×	`associate-/l*_binary64`
505×	`associate-/r*_binary64`
401×	`associate-/l/_binary64`
390×	`unswap-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	60	792
1	158	588
2	472	514
3	1665	514
4	2988	514
5	4888	514
6	5090	514
7	5389	514
8	5963	510
9	7844	510

Stop Event

1×	node limit

Counts

140 → 128

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2/27 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -54 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -162 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -54 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -54 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -162 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -54 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))))

Outputs
(.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1/2 x))
(*.f64 1/2 (/.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 x (.f64 (sqrt.f64 (PI.f64)) -1/6))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 x (.f64 (sqrt.f64 (PI.f64)) -1/6))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (.f64 -1/6 (.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 1/2 (.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 x -1/6 (/.f64 1/2 x)))
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x 2))
(.f64 x (.f64 2 (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 2 (*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)))
(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 2/9 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (.f64 2/9 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (fma.f64 x 2 (*.f64 2/9 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/9 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (*.f64 2/9 (pow.f64 x 5))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2/27 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 2/9 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/27 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x 2) (.f64 2/27 (pow.f64 x 7)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/9 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 2/27 (pow.f64 x 7) (.f64 x 2)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/9 (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (fma.f64 2/9 (pow.f64 x 5) (*.f64 2/27 (pow.f64 x 7)))))
(.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -6 x))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -18 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -6 x)))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 -6 (/.f64 -18 (.f64 x x))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -54 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -54 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 -18 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -6 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -54 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -54 (pow.f64 x 5)) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -6 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (+.f64 (/.f64 -54 (pow.f64 x 5)) (/.f64 -6 x))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -162 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -54 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -162 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) (fma.f64 -54 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 -18 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -54 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -6 x) (/.f64 -162 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -54 (pow.f64 x 5))) (+.f64 (/.f64 -162 (pow.f64 x 7)) (/.f64 -6 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 -54 (pow.f64 x 5)) (/.f64 -6 x)) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -162 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (+.f64 (/.f64 -162 (pow.f64 x 7)) (+.f64 (/.f64 -54 (pow.f64 x 5)) (/.f64 -6 x)))))
(.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -6 x))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 -18 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -6 x)))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 -6 (/.f64 -18 (.f64 x x))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -54 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -54 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 -18 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -6 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -54 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -54 (pow.f64 x 5)) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -6 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (+.f64 (/.f64 -54 (pow.f64 x 5)) (/.f64 -6 x))))
(+.f64 (.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -162 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -54 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -18 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 -6 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 -162 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) (fma.f64 -54 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 -18 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -54 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -6 x) (/.f64 -162 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -54 (pow.f64 x 5))) (+.f64 (/.f64 -162 (pow.f64 x 7)) (/.f64 -6 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 -54 (pow.f64 x 5)) (/.f64 -6 x)) (+.f64 (/.f64 -18 (pow.f64 x 3)) (/.f64 -162 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 -18 (pow.f64 x 3)) (+.f64 (/.f64 -162 (pow.f64 x 7)) (+.f64 (/.f64 -54 (pow.f64 x 5)) (/.f64 -6 x)))))

localize96.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (pow.f64 x 7))
✓	0.1b	(*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))
✓	0.2b	(pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 60 to 44 computations (26.7% saved)

series11.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))
1.0ms	x	@	0	(pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1)
1.0ms	x	@	-inf	(pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1)
1.0ms	x	@	inf	(pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1)
0.0ms	x	@	0	(*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
314×	`pow2_binary64`
313×	`pow-prod-down_binary64`
234×	`pow-to-exp_binary64`
220×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	275	27
2	3086	27

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs
(pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1)
(*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))
(/.f64 1 (pow.f64 x 7))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/21 (/.f64 (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 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -1/6) (cbrt.f64 (*.f64 1/441 (pow.f64 (*.f64 (PI.f64) (pow.f64 x -14)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/441 (pow.f64 (*.f64 (PI.f64) (pow.f64 x -14)) -1))) (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/21 (*.f64 (pow.f64 x 7) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 7) (pow.f64 (PI.f64) -1/2)) 1/21)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -1/4) (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))))) (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 21 (pow.f64 x 7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 7) (pow.f64 (PI.f64) -1/2)) 21)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -1/4) (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/441 (pow.f64 (*.f64 (PI.f64) (pow.f64 x -14)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 441 (*.f64 (PI.f64) (pow.f64 x -14))) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 21 (pow.f64 x 7)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 21 (pow.f64 x 7)))) -1/2) 2))))))

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

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

simplify118.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

824×	`unswap-sqr_binary64`
652×	`*-commutative_binary64`
645×	`associate-/l/_binary64`
556×	`sqr-pow_binary64`
480×	`associate-/r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	348
1	28	312
2	56	312
3	131	312
4	413	312
5	1736	312
6	2633	312
7	3171	312
8	4500	312
9	4631	312
10	4810	312
11	5748	312
12	6098	312
13	6761	312
14	7362	312

Stop Event

1×	node limit

Counts

140 → 119

Calls

Call 1

Inputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))

Outputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 x 7) (.f64 1/21 (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))

eval267.0ms (2.7%)

Compiler: Compiled 9021 to 6315 computations (30% saved)

prune183.0ms (1.9%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	564	7	571
Fresh	4	5	9
Picked	1	0	1
Done	2	6	8
Total	571	18	589

Error

Counts

589 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2)))))
	4.9b	(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)) (+.f64 (/.f64 1/2 x) (*.f64 11/3780 (pow.f64 x 5))))) -1))
	5.0b	(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
✓	4.9b	(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
✓	4.6b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
	4.7b	(fabs.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 x -1/6 (/.f64 1/2 x))))
	56.2b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
	5.4b	(fabs.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
	56.4b	(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
	60.1b	(fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))
	59.7b	(fabs.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))))
	59.7b	(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
✓	4.5b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
✓	5.0b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	56.4b	(fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))
✓	56.2b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	59.7b	(fabs.f64 (exp.f64 (.f64 (log.f64 (.f64 441 (*.f64 (PI.f64) (pow.f64 x -14)))) -1/2)))
	56.4b	(fabs.f64 (pow.f64 (.f64 21 (.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) -1))

Compiler

Compiled 262 to 224 computations (14.5% saved)

regimes174.0ms (1.8%)

Counts

45 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))))
(fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))
(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(fabs.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 14) 1/441) (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 x -1/6 (/.f64 1/2 x))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x))) -1))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (.f64 21 (.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) -1))
(fabs.f64 (pow.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))) 1))
(fabs.f64 (exp.f64 (.f64 (log.f64 (.f64 441 (*.f64 (PI.f64) (pow.f64 x -14)))) -1/2)))
(fabs.f64 (pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1))
(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (-.f64 (.f64 x 2) (.f64 (pow.f64 x 5) -1/5)) (.f64 (pow.f64 x 3) -2/3))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)) (+.f64 (/.f64 1/2 x) (*.f64 11/3780 (pow.f64 x 5))))) -1))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2)))))
(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) 3)))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Outputs
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2)))))

Calls

5 calls:

64.0ms	(fabs.f64 x)
24.0ms	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
23.0ms	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
21.0ms	(+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
21.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))`
0.1b	1	`(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))`
0.1b	1	`(+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))`
0.1b	1	`(fabs.f64 x)`

Compiler

Compiled 894 to 568 computations (36.5% saved)

regimes79.0ms (0.8%)

Counts

35 → 2

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))))
(fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))
(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(fabs.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 14) 1/441) (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 x -1/6 (/.f64 1/2 x))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x))) -1))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (.f64 21 (.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) -1))
(fabs.f64 (pow.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))) 1))
(fabs.f64 (exp.f64 (.f64 (log.f64 (.f64 441 (*.f64 (PI.f64) (pow.f64 x -14)))) -1/2)))
(fabs.f64 (pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1))
(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (-.f64 (.f64 x 2) (.f64 (pow.f64 x 5) -1/5)) (.f64 (pow.f64 x 3) -2/3))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)) (+.f64 (/.f64 1/2 x) (*.f64 11/3780 (pow.f64 x 5))))) -1))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))

Outputs

(fabs.f64 (/.f64 (+.f64 (*.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))

(fabs.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (-.f64 (*.f64 x 2) (*.f64 (pow.f64 x 5) -1/5)) (*.f64 (pow.f64 x 3) -2/3))))

Calls

1 calls:

65.0ms

Results

Error	Segments	Branch
0.2b	2	`x`

Compiler

Compiled 437 to 318 computations (27.2% saved)

bsearch38.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	-19506.27793367079	-2.060050974742854e-6

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes37.0ms (0.4%)

Counts

31 → 2

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))))
(fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))
(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(fabs.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 14) 1/441) (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 x -1/6 (/.f64 1/2 x))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x))) -1))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (.f64 21 (.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) -1))
(fabs.f64 (pow.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))) 1))
(fabs.f64 (exp.f64 (.f64 (log.f64 (.f64 441 (*.f64 (PI.f64) (pow.f64 x -14)))) -1/2)))
(fabs.f64 (pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1))
(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))

Outputs
(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
0.3b	2	`x`

Compiler

Compiled 355 to 255 computations (28.2% saved)

bsearch39.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	-19506.27793367079	-2.060050974742854e-6

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes41.0ms (0.4%)

Counts

29 → 2

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))))
(fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))
(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(fabs.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 14) 1/441) (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 x -1/6 (/.f64 1/2 x))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x -1/6))) -1))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 x -1/6) (/.f64 1/2 x))) -1))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x (fma.f64 2/3 (*.f64 x x) 2))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(fabs.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 1/2 x) (.f64 x (+.f64 (.f64 1/180 (.f64 x x)) -1/6)))) -1))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (.f64 21 (.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) -1))
(fabs.f64 (pow.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64)))) 1))
(fabs.f64 (exp.f64 (.f64 (log.f64 (.f64 441 (*.f64 (PI.f64) (pow.f64 x -14)))) -1/2)))
(fabs.f64 (pow.f64 (.f64 21 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) -1))

Outputs
(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.4b	2	`x`

Compiler

Compiled 319 to 229 computations (28.2% saved)

bsearch39.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	-19506.27793367079	-2.060050974742854e-6

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes20.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))))
(fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))
(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))

Outputs
(fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.4b	2	`x`

Compiler

Compiled 108 to 75 computations (30.6% saved)

bsearch40.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
40.0ms	-19506.27793367079	-2.060050974742854e-6

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes57.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (*.f64 1/21 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64)))))

Outputs
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
4.5b	1	`x`

Compiler

Compiled 90 to 63 computations (30% saved)

regimes8.0ms (0.1%)

Accuracy

Total -55.9b remaining (-1208.9%)

Threshold costs -55.9b (-1208.9%)

Counts

7 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))

Outputs
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
4.6b	1	`x`

Compiler

Compiled 66 to 45 computations (31.8% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

122×	`distribute-rgt-neg-in_binary64`
101×	`cancel-sign-sub-inv_binary64`
81×	`sub-neg_binary64`
71×	`distribute-lft-neg-out_binary64`
69×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	297
1	115	297
2	146	297
3	158	297
4	171	297
5	211	297
6	242	297
7	258	297
8	269	297
9	286	297
10	308	297
11	343	297
12	369	297
13	400	297
14	445	297
15	487	297
16	517	297
17	536	297
18	557	297
19	599	297
20	654	297
21	717	297
22	788	297
23	879	297
24	965	297
25	1023	297
26	1049	297
27	1052	297

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (-.f64 (.f64 x 2) (.f64 (pow.f64 x 5) -1/5)) (.f64 (pow.f64 x 3) -2/3)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (*.f64 x x)) 2)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))

Outputs
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 x 2)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 2)) (+.f64 (.f64 (pow.f64 x 5) 1/5) (*.f64 (pow.f64 x 7) 1/21)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (-.f64 (.f64 x 2) (.f64 (pow.f64 x 5) -1/5)) (.f64 (pow.f64 x 3) -2/3)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (-.f64 (-.f64 (.f64 x 2) (.f64 (pow.f64 x 5) -1/5)) (.f64 (pow.f64 x 3) -2/3)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 5) 1/5))))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (.f64 x x)))))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/5) (.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 -2 (.f64 -2/3 (.f64 x x)))))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (*.f64 x x)) 2)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (*.f64 x x)))))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 -2 (.f64 -2/3 (*.f64 x x)))))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2)))))
(if (<=.f64 x -167557651583605/8589934592) (fabs.f64 (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (.f64 x x)))))))
(if (<=.f64 x -167557651583605/8589934592) (/.f64 1/21 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (.f64 x x)))))))
(if (<=.f64 x -167557651583605/8589934592) (/.f64 1/21 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 -2 (.f64 -2/3 (.f64 x x)))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 2/3 (.f64 x x))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 -2 (.f64 -2/3 (.f64 x x))))))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 2 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))

Compiler

Compiled 194 to 159 computations (18% saved)

soundness493.0ms (5.1%)

Algorithm

2×	egg-herbie

Rules

745×	`distribute-lft-out_binary64`
585×	`associate-/l*_binary64`
537×	`unswap-sqr_binary64`
484×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	75
1	74	59
2	251	41
3	1199	37
4	2391	37
5	5155	37
6	5982	37
7	6353	33
8	7840	33
0	132	995
1	376	780
2	1277	660
3	4608	633

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 6290 to 4073 computations (35.2% saved)

end199.0ms (2%)

Compiler: Compiled 187 to 137 computations (26.7% saved)