Details

analyze4.0ms (0%)

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)

sample2.1s (19.6%)

Results

2.1s	8256×	body	256	valid
0.0ms	2×	body	256	invalid

preprocess121.0ms (1.1%)

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)

simplify85.0ms (0.8%)

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)

prune4.0ms (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

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(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))))
▶	0.4b	(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))))))

Status

Error

Program

▶

0.8b

(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))))

▶

0.4b

(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))))))

Compiler

Compiled 91 to 49 computations (46.2% saved)

localize75.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)))
✓	0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓	0.3b	(.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)))
✓	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 405 to 117 computations (71.1% saved)

series10.0ms (0.1%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.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 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 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)))
1.0ms	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 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`log-prod_binary64`
318×	`pow1/3_binary64`
316×	`expm1-udef_binary64`
316×	`log1p-udef_binary64`
287×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	49
1	451	28
2	4700	28

Stop Event

1×	node limit

Counts

4 → 74

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))
(.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)))
(.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)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 6) (.f64 x 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21)))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) (.f64 x 1/21))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 3) 2/3))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 3) 2/3))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 x 3) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 3) 2/3)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 x 3) 2/3)))))))) (#(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 (pow.f64 (.f64 (pow.f64 x 3) 2/3) 3) 1/3)))) (#(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 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 x 3) 2/3)))))) (#(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 (pow.f64 (.f64 (pow.f64 x 3) 2/3) 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 0 (.f64 (pow.f64 x 5) 1/5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5))) (cbrt.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5))))) (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 (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 (pow.f64 (.f64 (pow.f64 x 5) 1/5) 3) 1/3)))) (#(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 (sqrt.f64 (.f64 (pow.f64 x 5) 1/5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/25 (pow.f64 (pow.f64 x 5) 2)))))) (#(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))))))

simplify167.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1083×	`sqr-pow_binary64`
672×	`cube-prod_binary64`
626×	`fabs-mul_binary64`
624×	`unswap-sqr_binary64`
378×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	324
1	34	324
2	70	324
3	145	324
4	331	324
5	971	324
6	1409	324
7	2358	324
8	2512	324
9	2759	324
10	3074	324
11	3555	324
12	4234	324
13	5128	324
14	5772	324
15	6281	324
16	6688	324
17	7067	324
18	7287	324

Stop Event

1×	node limit

Counts

110 → 77

Calls

Call 1

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

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

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)
✓	0.3b	(*.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	@	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	@	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))
1.0ms	x	@	inf	(fma.f64 2/3 (*.f64 x x) 2)

rewrite110.0ms (1%)

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

simplify193.0ms (1.8%)

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)

eval260.0ms (2.5%)

Compiler: Compiled 8338 to 4300 computations (48.4% saved)

prune96.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	190	13	203
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	192	13	205

Error

Counts

205 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(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))))
	55.2b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
▶	1.3b	(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)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
	55.5b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
▶	0.4b	(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)))) (pow.f64 (PI.f64) -1/2)))
	55.5b	(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
	54.8b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (.f64 x (.f64 x 2/3)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
▶	6.4b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
	1.2b	(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 0 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))
	1.9b	(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))))
	0.7b	(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))
▶	6.2b	(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))))))
▶	6.7b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))

Compiler

Compiled 554 to 434 computations (21.7% saved)

localize54.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 109 to 74 computations (32.1% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	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)))) (pow.f64 (PI.f64) -1/2))
0.0ms	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)))) (pow.f64 (PI.f64) -1/2))
0.0ms	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)))) (pow.f64 (PI.f64) -1/2))
0.0ms	x	@	0	(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))))
0.0ms	x	@	inf	(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))))

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log-prod_binary64`
325×	`expm1-udef_binary64`
325×	`log1p-udef_binary64`
320×	`pow1/3_binary64`
289×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	57
1	402	57
2	4332	57

Stop Event

1×	node limit

Counts

2 → 54

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)))) (pow.f64 (PI.f64) -1/2))

(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))))

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

simplify170.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1200×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
594×	`cube-prod_binary64`
433×	`fabs-mul_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	654
1	124	552
2	309	492
3	819	492
4	1843	492
5	2025	492
6	2226	492
7	2668	492
8	3547	492
9	3690	492
10	4410	492
11	4796	492
12	5392	492
13	6265	492
14	7376	492

Stop Event

1×	node limit

Counts

78 → 81

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

localize27.0ms (0.3%)

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)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	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))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x))

rewrite82.0ms (0.8%)

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))))))))))

simplify16.0ms (0.2%)

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))

localize73.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 60 to 43 computations (28.3% saved)

series14.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2)))
1.0ms	x	@	0	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2)))
1.0ms	x	@	inf	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2)))
1.0ms	x	@	0	(*.f64 x 2/3)
1.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (.f64 x 2/3) 2))

rewrite122.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log-prod_binary64`
446×	`prod-exp_binary64`
403×	`exp-prod_binary64`
354×	`pow-prod-down_binary64`
284×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	243	43
2	2784	43

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify215.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	717
1	56	573
2	114	555
3	259	555
4	818	555
5	1261	555
6	1821	555
7	1937	555
8	2087	555
9	2277	555
10	2532	555
11	2866	555
12	3275	555
13	3804	555
14	4470	555
15	5298	555
16	5701	555
17	6069	555
18	6407	555
19	6653	555
20	6875	555

Stop Event

1×	node limit

Counts

182 → 151

Calls

Call 1

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

localize46.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.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)))))
✓	0.1b	(*.f64 1/5 (pow.f64 x 5))
✓	0.1b	(fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))

Compiler

Compiled 87 to 68 computations (21.8% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))
1.0ms	x	@	inf	(fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))
1.0ms	x	@	-inf	(fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))
1.0ms	x	@	-inf	(.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)))))
1.0ms	x	@	0	(.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)))))

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`log-prod_binary64`
390×	`pow2_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`
268×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	357	45
2	3793	45

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))
(*.f64 1/5 (pow.f64 x 5))
(.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)))))

Outputs

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

((#(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 1/25 (pow.f64 x 10)) 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 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 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) (log.f64 1/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 1/5)) 1))))))

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

simplify165.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
663×	`fma-def_binary64`
633×	`associate-l_binary64`
596×	`unswap-sqr_binary64`
518×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	555
1	62	488
2	153	432
3	413	420
4	918	420
5	2238	420
6	2783	420
7	3781	420
8	3895	420
9	4068	420
10	4287	420
11	4896	420
12	5348	420
13	5932	420
14	6672	420
15	7596	420

Stop Event

1×	node limit

Counts

97 → 86

Calls

Call 1

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

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

localize60.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 2/3 (*.f64 x x) 2)
	0.3b	(*.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)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))
✓	1.0b	(cbrt.f64 (pow.f64 (PI.f64) 3/2))

Compiler

Compiled 115 to 79 computations (31.3% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))

1.0ms

(/.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 (pow.f64 (PI.f64) 3/2)))

0.0ms

-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)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`log-prod_binary64`
338×	`expm1-udef_binary64`
338×	`log1p-udef_binary64`
283×	`log-pow_binary64`
209×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	426	35
2	4748	35

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(/.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 (pow.f64 (PI.f64) 3/2)))

Outputs

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

((#(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)))) (/.f64 1 (sqrt.f64 (PI.f64))))))) (#(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))))) (/.f64 1 (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 (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 (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 (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 1 (sqrt.f64 (PI.f64)))))))) (#(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))))) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(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 (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) 1) (/.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))))) (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 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) 1) (/.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))))) (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 x (fma.f64 2/3 (*.f64 x x) 2) (*.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) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) 2) (cbrt.f64 (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 (/.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))))) (cbrt.f64 (PI.f64))) (/.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))))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (PI.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 (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) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) 2) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.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))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 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2) (*.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) (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))))))

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1177×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
594×	`cube-prod_binary64`
432×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	462
1	95	384
2	249	312
3	732	306
4	1715	300
5	2521	300
6	2722	300
7	3164	300
8	4043	300
9	4186	300
10	4413	300
11	4868	300
12	5464	300
13	6337	300
14	7446	300

Stop Event

1×	node limit

Counts

74 → 77

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))))))))

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

eval451.0ms (4.3%)

Compiler: Compiled 11829 to 8636 computations (27% saved)

prune184.0ms (1.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	487	18	505
Fresh	5	3	8
Picked	1	0	1
Done	4	0	4
Total	497	21	518

Error

Counts

518 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
	6.4b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
	55.5b	(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
	0.7b	(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))
	6.8b	(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
▶	7.1b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	6.4b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
	54.8b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	60.1b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
	3.4b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)))) (pow.f64 (PI.f64) -1/2)))
	59.5b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
	60.2b	(fabs.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
	7.3b	(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))) (sqrt.f64 (PI.f64)))) 3))
▶	55.5b	(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
	1.2b	(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 0 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))
▶	1.9b	(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))))
▶	55.2b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
	6.7b	(fabs.f64 (.f64 (.f64 2 x) (pow.f64 (PI.f64) -1/2)))
	6.2b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
▶	0.4b	(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)))) (pow.f64 (PI.f64) -1/2)))
	55.2b	(fabs.f64 (.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2)))

Compiler

Compiled 786 to 638 computations (18.8% saved)

localize108.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(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))))
✓	0.1b	(.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)))) (pow.f64 (PI.f64) -1/2))
✓	0.2b	(.f64 2/3 (.f64 x x))
	0.3b	(*.f64 1/21 (pow.f64 x 7))

Compiler

Compiled 119 to 81 computations (31.9% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite121.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`log-prod_binary64`
395×	`prod-diff_binary64`
356×	`expm1-udef_binary64`
356×	`log1p-udef_binary64`
292×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	64
1	435	64
2	4895	64

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

(*.f64 2/3 (*.f64 x x))

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

(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))))

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

simplify190.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1722×	`fma-def_binary64`
720×	`sqr-pow_binary64`
449×	`*-commutative_binary64`
439×	`unswap-sqr_binary64`
424×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	738
1	131	636
2	321	576
3	872	576
4	2283	576
5	2735	576
6	3570	576
7	3736	576
8	3971	576
9	4264	576
10	5624	576
11	6152	576
12	6825	576
13	7671	576

Stop Event

1×	node limit

Counts

104 → 98

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

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

localize19.0ms (0.2%)

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)

series3.0ms (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)))
1.0ms	x	@	-inf	(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))

rewrite73.0ms (0.7%)

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))))))))))

simplify19.0ms (0.2%)

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))

localize43.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))
1.0ms	x	@	inf	(.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))
1.0ms	x	@	-inf	(.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))

rewrite126.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
857×	`add-log-exp_binary64`
857×	`log1p-expm1-u_binary64`
857×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	214	14
2	2363	14

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))

Outputs

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

simplify191.0ms (1.8%)

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

25 → 15

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)))))

localize66.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 55 computations (20.3% saved)

series9.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`log-prod_binary64`
398×	`pow2_binary64`
317×	`fma-def_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	331	35
2	3897	35

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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simplify196.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

788×	`sqr-pow_binary64`
654×	`cube-prod_binary64`
567×	`associate-l_binary64`
512×	`fabs-mul_binary64`
463×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	357
1	41	294
2	87	276
3	207	276
4	547	276
5	1705	276
6	2239	276
7	2877	276
8	2995	276
9	3169	276
10	3388	276
11	3720	276
12	4180	276
13	4779	276
14	5531	276
15	6465	276
16	6969	276
17	7455	276
18	7851	276

Stop Event

1×	node limit

Counts

108 → 102

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 1/21 (pow.f64 x 7))
(*.f64 1/21 (pow.f64 x 7))

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

localize62.0ms (0.6%)

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))))
	0.3b	(*.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)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(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	@	0	(fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7))))

rewrite100.0ms (0.9%)

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

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

simplify193.0ms (1.8%)

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)))

eval307.0ms (2.9%)

Compiler: Compiled 10107 to 7740 computations (23.4% saved)

prune153.0ms (1.4%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	468	11	479
Fresh	6	10	16
Picked	1	0	1
Done	1	3	4
Total	476	24	500

Error

Counts

500 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(fabs.f64 (/.f64 (+.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 x 2)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	1.9b	(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	1.2b	(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 0 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))
▶	0.4b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
	57.5b	(fabs.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) -1) (.f64 (pow.f64 x 14) 1/441))))
	6.4b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
	60.2b	(fabs.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)))
	0.7b	(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))
	6.8b	(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
	55.6b	(fabs.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 7) (.f64 1/21 (pow.f64 (PI.f64) -1/2)))) 3))
✓	7.1b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	6.4b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
▶	54.8b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	60.1b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
	59.5b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
	6.2b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
✓	55.5b	(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
	7.3b	(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))) (sqrt.f64 (PI.f64)))) 3))
✓	0.4b	(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)))) (pow.f64 (PI.f64) -1/2)))
▶	55.1b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	1.8b	(fabs.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)))) -1))
	7.1b	(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
▶	6.7b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
▶	55.5b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))

Compiler

Compiled 804 to 659 computations (18% saved)

localize84.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2))
	0.1b	(*.f64 1/5 (pow.f64 x 5))
✓	0.2b	(*.f64 2/3 (pow.f64 x 3))
	0.3b	(*.f64 1/21 (pow.f64 x 7))

Compiler

Compiled 141 to 113 computations (19.9% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`fma-neg_binary64`
427×	`expm1-udef_binary64`
427×	`log1p-udef_binary64`
253×	`add-sqr-sqrt_binary64`
243×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	39
1	525	39
2	6564	39

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 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 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(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 2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) (pow.f64 (PI.f64) -1/2)) (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.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 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (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 (fma.f64 x 2 (*.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2)) (*.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 x 2)) (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 x 2 (*.f64 1/5 (pow.f64 x 5)))) (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) 3)) (pow.f64 (PI.f64) -1/2)) (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (-.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) 2)) (pow.f64 (PI.f64) -1/2)) (-.f64 (*.f64 x 2) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) 3))) (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (-.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) 2))) (-.f64 (*.f64 x 2) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))))) (pow.f64 (PI.f64) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) -1) (pow.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) -1/2)) (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) 3) (pow.f64 (pow.f64 (PI.f64) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) -1/2) 3) (pow.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 2 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2))) 1))))))

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1177×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
594×	`cube-prod_binary64`
432×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	462
1	95	384
2	249	312
3	732	306
4	1715	300
5	2521	300
6	2722	300
7	3164	300
8	4043	300
9	4186	300
10	4413	300
11	4868	300
12	5464	300
13	6337	300
14	7446	300

Stop Event

1×	node limit

Counts

50 → 53

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))))))))

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

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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite55.0ms (0.5%)

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))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

series2.0ms (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)))
0.0ms	x	@	-inf	(/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))

rewrite60.0ms (0.6%)

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))))))))))

simplify141.0ms (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

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)))))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 49 computations (24.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.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)))

0.0ms

-inf

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

rewrite71.0ms (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))))))

simplify173.0ms (1.6%)

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))))

localize121.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/5 (pow.f64 x 5))
✓	0.1b	(.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))
	0.2b	(*.f64 2/3 (pow.f64 x 3))
	0.3b	(*.f64 1/21 (pow.f64 x 7))

Compiler

Compiled 108 to 87 computations (19.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

0.0ms

-inf

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`fma-def_binary64`
365×	`expm1-udef_binary64`
365×	`log1p-udef_binary64`
344×	`fma-neg_binary64`
297×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	28
1	452	28
2	5440	28

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)) (*.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) (*.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 (fma.f64 1/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (pow.f64 (PI.f64) -1/2)) (*.f64 (*.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/5 (pow.f64 x 5))) (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 2/3 (pow.f64 x 3) (*.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 (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) 3)) (pow.f64 (PI.f64) -1/2)) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 1/25)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) 2)) (pow.f64 (PI.f64) -1/2)) (-.f64 (*.f64 1/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 (pow.f64 (pow.f64 x 5) 3) 1/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) 3))) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 1/25)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (-.f64 (*.f64 (pow.f64 x 10) 1/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) 2))) (-.f64 (*.f64 1/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)) 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 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) -1) (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) -1/2)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) 3) (pow.f64 (pow.f64 (PI.f64) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) -1/2) 3) (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2) (*.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.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 fma.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/5 (pow.f64 x 5)) (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 2/3 (pow.f64 x 3) (*.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 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (pow.f64 (PI.f64) -1/2) (*.f64 (*.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))))))

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

741×	`cube-prod_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
573×	`fabs-mul_binary64`
447×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	432
1	61	369
2	153	309
3	424	297
4	1016	297
5	1441	297
6	1669	297
7	2111	297
8	2990	297
9	3133	297
10	3360	297
11	3746	297
12	4342	297
13	5215	297
14	6322	297
15	7155	297
16	7883	297

Stop Event

1×	node limit

Counts

43 → 41

Calls

Call 1

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

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

eval387.0ms (3.7%)

Compiler: Compiled 8397 to 6539 computations (22.1% saved)

prune135.0ms (1.3%)

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	409	6	415
Fresh	4	12	16
Picked	0	1	1
Done	1	6	7
Total	414	25	439

Error

Counts

439 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(fabs.f64 (/.f64 (+.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 x 2)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	1.9b	(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	1.2b	(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 0 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))
✓	0.4b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
	55.5b	(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
	6.4b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
	60.2b	(fabs.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)))
	0.7b	(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))
	55.5b	(fabs.f64 (pow.f64 (*.f64 21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) -1))
	55.5b	(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
	6.8b	(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
✓	7.1b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	6.4b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
✓	54.8b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	60.1b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
	59.5b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
	6.2b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
	7.1b	(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
	7.3b	(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))) (sqrt.f64 (PI.f64)))) 3))
✓	0.4b	(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)))) (pow.f64 (PI.f64) -1/2)))
✓	55.1b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	57.5b	(fabs.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 14) 1/441) (PI.f64))))
	57.5b	(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
✓	6.7b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
✓	55.5b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))

Compiler

Compiled 418 to 343 computations (17.9% saved)

regimes298.0ms (2.8%)

Counts

50 → 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 (.f64 2 x) (pow.f64 (PI.f64) -1/2)))
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
(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 (.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (*.f64 21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) -1))
(fabs.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) -1) (.f64 (pow.f64 x 14) 1/441))))
(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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 7) (.f64 1/21 (pow.f64 (PI.f64) -1/2)))) 3))
(fabs.f64 (.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2)))
(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 (fma.f64 1/5 (pow.f64 x 5) (.f64 x 2)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
(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 x (.f64 x 2/3)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(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 (.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)))) (pow.f64 (PI.f64) -1/2)))
(fabs.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)))) -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)))) (sqrt.f64 (PI.f64))))
(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)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 2 (fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))) (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) (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)))) (pow.f64 (PI.f64) -1/2)))
(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)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(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 (/.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 0 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))
(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 (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)))) (pow.f64 (PI.f64) -1/2)))

Calls

5 calls:

62.0ms	(+.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))))
56.0ms	x
51.0ms	(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))))))
51.0ms	(fabs.f64 x)
32.0ms	(.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)))))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	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))))))`
0.4b	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)))))`
0.4b	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))))`
0.4b	1	`(fabs.f64 x)`

Compiler

Compiled 1040 to 669 computations (35.7% saved)

regimes80.0ms (0.8%)

Counts

40 → 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 (.f64 2 x) (pow.f64 (PI.f64) -1/2)))
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
(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 (.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (*.f64 21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) -1))
(fabs.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) -1) (.f64 (pow.f64 x 14) 1/441))))
(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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 7) (.f64 1/21 (pow.f64 (PI.f64) -1/2)))) 3))
(fabs.f64 (.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2)))
(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 (fma.f64 1/5 (pow.f64 x 5) (.f64 x 2)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
(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 x (.f64 x 2/3)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(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))))

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

Calls

1 calls:

46.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 541 to 403 computations (25.5% saved)

regimes68.0ms (0.6%)

Counts

35 → 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 (.f64 2 x) (pow.f64 (PI.f64) -1/2)))
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
(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 (.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (*.f64 21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) -1))
(fabs.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) -1) (.f64 (pow.f64 x 14) 1/441))))
(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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 7) (.f64 1/21 (pow.f64 (PI.f64) -1/2)))) 3))
(fabs.f64 (.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2)))
(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 (fma.f64 1/5 (pow.f64 x 5) (.f64 x 2)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))

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

Calls

1 calls:

39.0ms

Results

Error	Segments	Branch
1.9b	1	`x`

Compiler

Compiled 435 to 326 computations (25.1% saved)

regimes76.0ms (0.7%)

Counts

27 → 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 (.f64 2 x) (pow.f64 (PI.f64) -1/2)))
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
(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 (.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (*.f64 21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) -1))
(fabs.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) -1) (.f64 (pow.f64 x 14) 1/441))))
(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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))

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 x (.f64 x 2/3)) 2))))

Calls

1 calls:

56.0ms

Results

Error	Segments	Branch
1.2b	2	`x`

Compiler

Compiled 292 to 213 computations (27.1% saved)

bsearch83.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
82.0ms	-9.068106199060766	-1.1855478169717801

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes65.0ms (0.6%)

Counts

25 → 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 (.f64 2 x) (pow.f64 (PI.f64) -1/2)))
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
(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 (.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (sqrt.f64 (PI.f64))))
(fabs.f64 (pow.f64 (*.f64 21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) -1))
(fabs.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) -1) (.f64 (pow.f64 x 14) 1/441))))

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 x (.f64 x 2/3)) 2))))

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
1.5b	2	`x`

Compiler

Compiled 261 to 189 computations (27.6% saved)

bsearch43.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	-9.068106199060766	-1.1855478169717801

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes17.0ms (0.2%)

Counts

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.5b	2	`x`

Compiler

Compiled 98 to 68 computations (30.6% saved)

bsearch81.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
80.0ms	-9.068106199060766	-1.1855478169717801

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes10.0ms (0.1%)

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
6.4b	1	`x`

Compiler

Compiled 89 to 62 computations (30.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -53.7b remaining (-801.7%)

Threshold costs -53.7b (-801.7%)

Counts

8 → 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 (.f64 2 x) (pow.f64 (PI.f64) -1/2)))
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
6.7b	1	`x`

Compiler

Compiled 74 to 51 computations (31.1% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
14×	`fabs-mul_binary64`
7×	`+-commutative_binary64`
7×	`fabs-div_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	298
1	112	298
2	126	298

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(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)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x -5104889962380769/562949953421312) (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 x (.f64 x 2/3)) 2)))))
(if (<=.f64 x -5104889962380769/562949953421312) (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 x (*.f64 x 2/3)) 2)))))
(if (<=.f64 x -5104889962380769/562949953421312) (fabs.f64 (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (*.f64 x 2/3)) 2)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 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 (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)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (.f64 x 2) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3)))))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (+.f64 (.f64 x 2) (+.f64 (.f64 1/21 (pow.f64 x 7)) (*.f64 1/5 (pow.f64 x 5)))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x -5104889962380769/562949953421312) (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 x (.f64 x 2/3)) 2)))))
(if (<=.f64 x -5104889962380769/562949953421312) (fabs.f64 (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 1/5 (pow.f64 x 5))) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 x (.f64 x 2/3)))))))
(if (<=.f64 x -5104889962380769/562949953421312) (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 x (*.f64 x 2/3)) 2)))))
(if (<=.f64 x -5104889962380769/562949953421312) (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 x (*.f64 x 2/3)))))))
(if (<=.f64 x -5104889962380769/562949953421312) (fabs.f64 (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (*.f64 x 2/3)) 2)))))
(if (<=.f64 x -5104889962380769/562949953421312) (fabs.f64 (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 x (*.f64 x 2/3)))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 2 (.f64 x (.f64 x 2/3))))))
(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)))

Compiler

Compiled 197 to 161 computations (18.3% saved)

soundness317.0ms (3%)

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

Compiler

Compiled 4179 to 2267 computations (45.8% saved)

end139.0ms (1.3%)

Compiler: Compiled 189 to 140 computations (25.9% saved)