Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.9%	25.1%	0%	0%	0%	0
0%	0%	74.9%	25.1%	0%	0%	0%	1
50%	37.5%	37.5%	25.1%	0%	0%	0%	2
66.7%	37.5%	18.7%	25.1%	18.7%	0%	0%	3
83.3%	46.8%	9.4%	25.1%	18.7%	0%	0%	4
91.7%	51.5%	4.7%	25.1%	18.7%	0%	0%	5
95.7%	51.5%	2.3%	25.1%	21.1%	0%	0%	6
97.8%	52.7%	1.2%	25.1%	21.1%	0%	0%	7
98.9%	53.3%	0.6%	25.1%	21.1%	0%	0%	8
99.5%	53.3%	0.3%	25.1%	21.4%	0%	0%	9
99.7%	53.4%	0.1%	25.1%	21.4%	0%	0%	10
99.9%	53.5%	0.1%	25.1%	21.4%	0%	0%	11
99.9%	53.5%	0%	25.1%	21.4%	0%	0%	12

Compiler

Compiled 71 to 33 computations (53.5% saved)

sample2.0s (21.6%)

Results

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

Bogosity

preprocess113.0ms (1.2%)

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)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	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))))))
▶	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))))

Status

Error

Program

▶

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))))))

▶

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))))

Compiler

Compiled 91 to 49 computations (46.2% saved)

localize82.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
✓	0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓	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)

series9.0ms (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 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0ms	x	@	0	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log-prod_binary64`
385×	`pow-unpow_binary64`
382×	`pow2_binary64`
270×	`pow1/3_binary64`
266×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	40
1	386	25
2	4035	25

Stop Event

1×	node limit

Counts

4 → 80

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

simplify175.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
680×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	288
1	25	288
2	52	288
3	108	288
4	238	288
5	659	288
6	951	288
7	1587	288
8	1695	288
9	1857	288
10	2070	288
11	2400	288
12	2856	288
13	3455	288
14	4209	288
15	5141	288
16	5649	288
17	6139	288
18	6539	288
19	6861	288
20	7019	288

Stop Event

1×	node limit

Counts

116 → 83

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))
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)

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))
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2/3 (*.f64 x x) 2)
✓	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)))
✓	0.3b	(*.f64 1/21 (pow.f64 x 7))
	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
2.0ms	x	@	inf	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
1.0ms	x	@	0	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
1.0ms	x	@	0	(*.f64 1/21 (pow.f64 x 7))
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 1/21 (pow.f64 x 7))

rewrite100.0ms (1.1%)

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7))) (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/21 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/21 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/21 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/21 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 14) 1/441))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/21 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 7 (log.f64 x) (log.f64 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 1/21)) 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)))) (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 (fma.f64 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 (pow.f64 (PI.f64) 1/4)) (/.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)))))) (#(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) (pow.f64 (PI.f64) 1/4)) (/.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) 1/4)))))) (#(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 (/.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) 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)))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.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) (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 (/.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)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.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) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.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 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))))))
((#(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))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7))) (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 14) 1/441))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 7 (log.f64 x) (log.f64 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 1/21)) 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)))) (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 (fma.f64 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 (pow.f64 (PI.f64) 1/4)) (/.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)))))) (#(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) (pow.f64 (PI.f64) 1/4)) (/.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) 1/4)))))) (#(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 (/.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) 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)))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.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) (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 (/.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)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.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) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.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 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))))))

((#(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))))))

simplify151.0ms (1.7%)

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)

eval288.0ms (3.2%)

Compiler: Compiled 11632 to 5682 computations (51.2% saved)

prune103.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	237	15	252
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	239	15	254

Error

Counts

254 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(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))))
▶	0.5b	(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))))))
	0.8b	(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))
	57.3b	(fabs.f64 (.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))))))
▶	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))))
	57.6b	(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))))
	58.0b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
	1.4b	(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)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
	58.0b	(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
	57.3b	(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))))
▶	3.4b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
	3.2b	(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))))))
	3.4b	(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
▶	3.5b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))

Compiler

Compiled 642 to 510 computations (20.6% saved)

localize177.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
	0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓	0.4b	(*.f64 x 1/21)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 320 to 135 computations (57.8% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite118.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 x 1/21)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 1/21)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/21))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/42)) (log.f64 (pow.f64 (exp.f64 x) 1/42)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/21) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/21)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 1/21)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x 1/21)) (+.f64 1 (*.f64 x 1/21))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x 1/21)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 1/21)) (+.f64 1 (*.f64 x 1/21))) 1) (+.f64 (+.f64 1 (*.f64 x 1/21)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/21) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/21) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9261 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/21)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/21)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/21)))) (sqrt.f64 (log.f64 (*.f64 x 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/21))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/21) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/21))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/21) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/9261 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 1/21))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/21))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/21))) 2))))))

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

37 → 26

Calls

Call 1

Inputs
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)

Outputs
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)
(*.f64 1/21 x)

localize39.0ms (0.4%)

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)

series5.0ms (0.1%)

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))

rewrite98.0ms (1.1%)

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))))))))))

simplify18.0ms (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))

localize37.0ms (0.4%)

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)

series13.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2)))
2.0ms	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	@	inf	(*.f64 x 2/3)
1.0ms	x	@	0	(*.f64 x 2/3)

rewrite130.0ms (1.4%)

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

simplify256.0ms (2.8%)

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)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 55 computations (26.7% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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))))
0.0ms	x	@	inf	(fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7))))

rewrite84.0ms (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)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3) (pow.f64 (PI.f64) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 1))))))

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

simplify166.0ms (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)))

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 2/3 (.f64 x x))
✓	0.3b	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
	0.3b	(*.f64 1/21 (pow.f64 x 7))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 115 to 75 computations (34.8% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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)))) (sqrt.f64 (PI.f64)))
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)))) (sqrt.f64 (PI.f64)))
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)))) (sqrt.f64 (PI.f64)))
0.0ms	x	@	inf	(.f64 2/3 (.f64 x x))
0.0ms	x	@	0	(.f64 2/3 (.f64 x x))

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`log-prod_binary64`
419×	`prod-diff_binary64`
343×	`expm1-udef_binary64`
343×	`log1p-udef_binary64`
284×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	38
1	415	38
2	4846	38

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1670×	`fma-def_binary64`
720×	`sqr-pow_binary64`
439×	`unswap-sqr_binary64`
437×	`*-commutative_binary64`
424×	`cube-prod_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	36	546
1	102	468
2	264	396
3	797	390
4	2135	390
5	2585	390
6	3420	390
7	3586	390
8	3821	390
9	4111	384
10	5536	384
11	6064	384
12	6735	384
13	7579	384

Stop Event

1×	node limit

Counts

76 → 69

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 2/3 (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))

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

eval290.0ms (3.2%)

Compiler: Compiled 14764 to 9572 computations (35.2% saved)

prune104.0ms (1.1%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	501	18	519
Fresh	7	3	10
Picked	0	1	1
Done	3	1	4
Total	511	23	534

Error

Counts

534 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	58.0b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
	60.1b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
	3.4b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
	57.3b	(fabs.f64 (.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))))))
	1.7b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
▶	3.9b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
▶	3.4b	(fabs.f64 (.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))))
	3.9b	(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (sqrt.f64 (PI.f64))))
	57.6b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
	59.8b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
	3.8b	(fabs.f64 (+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2)))
	3.2b	(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))))))
	59.9b	(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))))
	0.8b	(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
	57.6b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
▶	0.6b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 0 (.f64 (pow.f64 x 3) 2/3))) (.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)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
✓	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))))
▶	60.1b	(fabs.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))))
	3.4b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
▶	57.3b	(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))))
	5.0b	(fabs.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))) 3)))
✓	3.5b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))

Compiler

Compiled 786 to 638 computations (18.8% saved)

localize86.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
✓	0.1b	(*.f64 (pow.f64 x 3) 2/3)
	0.4b	(*.f64 x 1/21)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 296 to 151 computations (49% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
498×	`add-sqr-sqrt_binary64`
476×	`add-log-exp_binary64`
476×	`log1p-expm1-u_binary64`
476×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1323	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify167.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	15	84
2	32	84
3	56	84
4	114	84
5	326	84
6	1180	84
7	1869	84
8	1956	84
9	2089	84
10	2247	84
11	2486	84
12	2808	84
13	3231	84
14	3733	84
15	4335	84
16	5057	84
17	5378	84
18	5664	84
19	5886	84
20	6064	84
21	6144	84
22	7084	84

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

53 → 43

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 45 to 35 computations (22.2% saved)

series5.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`pow1_binary64`
873×	`add-log-exp_binary64`
872×	`log1p-expm1-u_binary64`
872×	`expm1-log1p-u_binary64`
853×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	230	27
2	2500	27

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify171.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
473×	`fabs-mul_binary64`
449×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	20	156
2	37	156
3	63	156
4	122	156
5	335	156
6	1204	156
7	1893	156
8	1980	156
9	2113	156
10	2271	156
11	2509	156
12	2831	156
13	3255	156
14	3757	156
15	4358	156
16	5080	156
17	5403	156
18	5689	156
19	5911	156
20	6089	156
21	6171	156
22	7111	156

Stop Event

1×	node limit

Counts

58 → 47

Calls

Call 1

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

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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))
✓	0.2b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
	0.3b	(*.f64 x 2/3)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 73 to 46 computations (37% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
0.0ms	x	@	inf	(.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
0.0ms	x	@	-inf	(.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`log-prod_binary64`
394×	`exp-prod_binary64`
306×	`pow-prod-down_binary64`
278×	`pow2_binary64`
196×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	228	31
2	2705	31

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))

Outputs

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

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

simplify191.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	582
1	50	456
2	111	420
3	261	420
4	752	420
5	1163	420
6	1727	420
7	1843	420
8	1993	420
9	2183	420
10	2438	420
11	2770	420
12	3177	420
13	3704	420
14	4370	420
15	5200	420
16	5601	420
17	5967	420
18	6301	420
19	6547	420
20	6771	420

Stop Event

1×	node limit

Counts

116 → 103

Calls

Call 1

Inputs
(*.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))))))
(.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))))))

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

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 99 to 68 computations (31.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.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)))

1.0ms

-inf

(/.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)))

1.0ms

inf

(/.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)))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log-prod_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
301×	`pow1/3_binary64`
271×	`pow3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	30
1	363	29
2	4157	27

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.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)))

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

simplify135.0ms (1.5%)

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

50 → 48

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)))))

eval285.0ms (3.1%)

Compiler: Compiled 11225 to 7539 computations (32.8% saved)

prune84.0ms (0.9%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	460	7	467
Fresh	4	12	16
Picked	0	1	1
Done	3	3	6
Total	467	23	490

Error

Counts

490 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	58.0b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
▶	60.1b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
	57.3b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 (pow.f64 x 3) 2/3))) (pow.f64 (PI.f64) -1/2)))
▶	0.3b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 0 (.f64 (pow.f64 x 3) 2/3))) (.f64 (/.f64 1 5) (.f64 (.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))
✓	3.9b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	1.7b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
✓	3.4b	(fabs.f64 (.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))))
	60.1b	(fabs.f64 (.f64 2/3 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
	3.9b	(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
▶	3.5b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
	3.8b	(fabs.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64))))
▶	3.9b	(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (sqrt.f64 (PI.f64))))
▶	57.6b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
	59.8b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
	3.2b	(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))))))
	59.9b	(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64)))))))
	0.8b	(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
	57.6b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	1.9b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
✓	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))))
	3.4b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
✓	57.3b	(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))))
	5.0b	(fabs.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))) 3)))

Compiler

Compiled 721 to 599 computations (16.9% saved)

localize90.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 0 (.f64 (pow.f64 x 3) 2/3))) (.f64 (/.f64 1 5) (.f64 (.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (.f64 (pow.f64 x 6) (.f64 x 1/21)))))
	0.1b	(*.f64 (pow.f64 x 3) 2/3)
	0.4b	(*.f64 x 1/21)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 248 to 174 computations (29.8% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (+.f64 0 (*.f64 (pow.f64 x 3) 2/3))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (*.f64 (pow.f64 x 6) (*.f64 x 1/21)))))

2.0ms

-inf

(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (+.f64 0 (*.f64 (pow.f64 x 3) 2/3))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (*.f64 (pow.f64 x 6) (*.f64 x 1/21)))))

1.0ms

(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (+.f64 0 (*.f64 (pow.f64 x 3) 2/3))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (*.f64 (pow.f64 x 6) (*.f64 x 1/21)))))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

310×	`add-sqr-sqrt_binary64`
294×	`pow1_binary64`
293×	`add-log-exp_binary64`
292×	`*-un-lft-identity_binary64`
292×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	50
1	693	36

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (+.f64 0 (*.f64 (pow.f64 x 3) 2/3))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (*.f64 (pow.f64 x 6) (*.f64 x 1/21)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64))) 1) (*.f64 (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3)) (pow.f64 (PI.f64) -1/2)) (*.f64 (fma.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))) (*.f64 (pow.f64 x 7) 1/21)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))) (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))) (*.f64 (pow.f64 x 7) 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))))) 2) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 3) (*.f64 (pow.f64 (pow.f64 x 7) 3) 1/9261)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (*.f64 (*.f64 (pow.f64 x 7) 1/21) (-.f64 (*.f64 (pow.f64 x 7) 1/21) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (pow.f64 (*.f64 (pow.f64 x 7) 1/21) 2)) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (*.f64 (pow.f64 x 7) 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 3) (*.f64 (pow.f64 (pow.f64 x 7) 3) 1/9261))) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (*.f64 (*.f64 (pow.f64 x 7) 1/21) (-.f64 (*.f64 (pow.f64 x 7) 1/21) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (pow.f64 (*.f64 (pow.f64 x 7) 1/21) 2))) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (-.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (*.f64 (pow.f64 x 7) 1/21))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 3) (*.f64 (pow.f64 (pow.f64 x 7) 3) 1/9261)) 1) (*.f64 (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (*.f64 (*.f64 (pow.f64 x 7) 1/21) (-.f64 (*.f64 (pow.f64 x 7) 1/21) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (pow.f64 (*.f64 (pow.f64 x 7) 1/21) 2)) 1) (*.f64 (-.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (*.f64 (pow.f64 x 7) 1/21)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 3) (*.f64 (pow.f64 (pow.f64 x 7) 3) 1/9261)) -1) (*.f64 (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (*.f64 (*.f64 (pow.f64 x 7) 1/21) (-.f64 (*.f64 (pow.f64 x 7) 1/21) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))))) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (pow.f64 (*.f64 (pow.f64 x 7) 1/21) 2)) -1) (*.f64 (-.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (*.f64 (pow.f64 x 7) 1/21)) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64))) 3) (pow.f64 (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64))) 3)) (+.f64 (*.f64 (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64)))) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64))))) (-.f64 (/.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 3) (*.f64 (pow.f64 (pow.f64 x 7) 3) 1/9261)) (pow.f64 (PI.f64) -1/2)) (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (*.f64 (*.f64 (pow.f64 x 7) 1/21) (-.f64 (*.f64 (pow.f64 x 7) 1/21) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (pow.f64 (*.f64 (pow.f64 x 7) 1/21) 2)) (pow.f64 (PI.f64) -1/2)) (-.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (*.f64 (pow.f64 x 7) 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 3) (*.f64 (pow.f64 (pow.f64 x 7) 3) 1/9261))) (+.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (*.f64 (*.f64 (pow.f64 x 7) 1/21) (-.f64 (*.f64 (pow.f64 x 7) 1/21) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (-.f64 (pow.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) 2) (pow.f64 (*.f64 (pow.f64 x 7) 1/21) 2))) (-.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (*.f64 (pow.f64 x 7) 1/21)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) -1) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) -1/2) 3) (pow.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) 3) (pow.f64 (pow.f64 (PI.f64) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 7) 1/21 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12))))))) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 1/5 (*.f64 x (cbrt.f64 (pow.f64 x 12)))))) (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 x 7) 1/21) (sqrt.f64 (PI.f64))))))))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

726×	`fma-def_binary64`
561×	`distribute-rgt-in_binary64`
556×	`distribute-lft-in_binary64`
395×	`*-commutative_binary64`
328×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	523
1	92	424
2	280	364
3	1234	352
4	4237	352

Stop Event

1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify11.0ms (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))

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 55 to 33 computations (40% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
501×	`prod-exp_binary64`
402×	`exp-prod_binary64`
373×	`pow-prod-down_binary64`
263×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	225	26
2	2656	26

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify208.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1138×	`sqr-pow_binary64`
769×	`cube-prod_binary64`
676×	`pow-sqr_binary64`
668×	`fabs-mul_binary64`
465×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	384
1	36	384
2	77	384
3	200	384
4	626	384
5	846	384
6	1276	384
7	1387	384
8	1537	384
9	1724	384
10	1977	384
11	2311	384
12	2718	384
13	3247	384
14	3909	384
15	4739	384
16	5138	384
17	5504	384
18	5846	384
19	6092	384
20	6314	384
21	7544	384
22	7960	384

Stop Event

1×	node limit

Counts

96 → 76

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 38 computations (28.3% saved)

series5.0ms (0.1%)

Counts

3 → 15

Calls

9 calls:

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

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
350×	`pow-prod-down_binary64`
326×	`pow2_binary64`
303×	`fma-def_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	264	35
2	3359	35

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (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 x x)) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (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 x x)) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (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 x x)) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) 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 x x)) 2) (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (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 x x))) 2) (*.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (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 x x)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (*.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (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 x x))) (/.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 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) 1) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (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 x x)) (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) (+.f64 x x))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (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) (+.f64 x x)) (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 x x))) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (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 x x)) (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 x x)) 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 x x)) (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 x x)) (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 x x)) (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 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) 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 x x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (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 x x)) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) (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 x x)) (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 x x)) (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 x x)) 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 x x)) (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 x x)) (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 x x)) (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 x x)) (sqrt.f64 (PI.f64)))) 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 (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 pow.f64 (*.f64 1/125 (pow.f64 x 15)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/25 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/125 (pow.f64 x 15)))))) (#(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 (log.f64 (*.f64 1/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/5 (pow.f64 x 5))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (*.f64 x x)) (fma.f64 2 x (*.f64 -1/5 (pow.f64 x 5)))) (/.f64 (*.f64 1/25 (pow.f64 x 10)) (fma.f64 2 x (*.f64 -1/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) 2) (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/125 (pow.f64 x 15) (*.f64 8 (pow.f64 x 3))) (/.f64 1 (-.f64 (fma.f64 4 (*.f64 x x) (*.f64 1/25 (pow.f64 x 10))) (*.f64 (+.f64 x x) (*.f64 1/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 1/25 (pow.f64 x 10))) (/.f64 1 (fma.f64 2 x (*.f64 -1/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4 (*.f64 x x) (*.f64 1/25 (pow.f64 x 10))) (*.f64 (+.f64 x x) (*.f64 1/5 (pow.f64 x 5)))) (fma.f64 1/125 (pow.f64 x 15) (*.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 x (*.f64 -1/5 (pow.f64 x 5))) (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 1/25 (pow.f64 x 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/125 (pow.f64 x 15) (*.f64 8 (pow.f64 x 3))) (-.f64 (fma.f64 4 (*.f64 x x) (*.f64 1/25 (pow.f64 x 10))) (*.f64 (+.f64 x x) (*.f64 1/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/125 (pow.f64 x 15) (*.f64 8 (pow.f64 x 3))) (fma.f64 1/25 (pow.f64 x 10) (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 (+.f64 x x) (*.f64 1/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 1/25 (pow.f64 x 10))) (fma.f64 2 x (*.f64 -1/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/125 (pow.f64 x 15) (*.f64 8 (pow.f64 x 3)))) (neg.f64 (-.f64 (fma.f64 4 (*.f64 x x) (*.f64 1/25 (pow.f64 x 10))) (*.f64 (+.f64 x x) (*.f64 1/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 1/25 (pow.f64 x 10)))) (neg.f64 (fma.f64 2 x (*.f64 -1/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/25 (pow.f64 x 10)) (*.f64 4 (*.f64 x x))) (-.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4 (*.f64 x x) (*.f64 1/25 (pow.f64 x 10))) (*.f64 (+.f64 x x) (*.f64 1/5 (pow.f64 x 5)))) (fma.f64 1/125 (pow.f64 x 15) (*.f64 8 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 x (*.f64 -1/5 (pow.f64 x 5))) (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 1/25 (pow.f64 x 10)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 1/5) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 5)))) (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/5 (pow.f64 x 5) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 1/5 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/5 (pow.f64 x 5)) 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/5 (pow.f64 x 5)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/5 (pow.f64 x 5))) (cbrt.f64 (*.f64 1/25 (pow.f64 x 10))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/25 (pow.f64 x 10))) (cbrt.f64 (*.f64 1/5 (pow.f64 x 5))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 1/5) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/5) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 1/5) (pow.f64 x 5/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 1/5) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/5 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/5 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/5 (pow.f64 x 5)))))))

simplify143.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
749×	`cube-prod_binary64`
629×	`sqr-pow_binary64`
499×	`unpow3_binary64`
492×	`cube-mult_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	324
1	33	261
2	67	243
3	134	243
4	300	243
5	903	243
6	1173	243
7	1498	243
8	2781	243
9	2882	243
10	3042	243
11	3249	243
12	3556	243
13	3984	243
14	4546	243
15	5222	243
16	6080	243
17	6742	243
18	7301	243
19	7865	243

Stop Event

1×	node limit

Counts

131 → 124

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 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 1/5 (.f64 (pow.f64 x 5) (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 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 1/5 (.f64 (pow.f64 x 5) (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 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 2 x)
(*.f64 1/5 (pow.f64 x 5))
(*.f64 1/5 (pow.f64 x 5))

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

localize41.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 67 to 53 computations (20.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	314	34
2	3414	34

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/21 (pow.f64 x 7)) (*.f64 1/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/5 (pow.f64 x 5)) 1) (*.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) (*.f64 1/21 (pow.f64 x 7))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 5)) 3) (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3)) (+.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 5)) 2) (-.f64 (*.f64 1/441 (pow.f64 x 14)) (*.f64 (*.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 5)) 2) (*.f64 1/441 (pow.f64 x 14))) (-.f64 (*.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/21) (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 (*.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 (*.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) (*.f64 1/21 (pow.f64 x 7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) 1))))))

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

simplify180.0ms (2%)

Algorithm

1×	egg-herbie

Rules

788×	`sqr-pow_binary64`
654×	`cube-prod_binary64`
578×	`associate-l_binary64`
511×	`fabs-mul_binary64`
471×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	483
1	44	402
2	90	402
3	205	402
4	542	402
5	1726	402
6	2265	402
7	2903	402
8	3022	402
9	3196	402
10	3415	402
11	3747	402
12	4207	402
13	4808	402
14	5559	402
15	6489	402
16	6991	402
17	7477	402
18	7873	402

Stop Event

1×	node limit

Counts

76 → 62

Calls

Call 1

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

eval323.0ms (3.5%)

Compiler: Compiled 11442 to 8183 computations (28.5% saved)

prune88.0ms (1%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	485	9	494
Fresh	3	11	14
Picked	1	0	1
Done	2	6	8
Total	491	26	517

Error

Counts

517 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	58.0b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
	57.3b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 (pow.f64 x 3) 2/3))) (pow.f64 (PI.f64) -1/2)))
✓	0.3b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 0 (.f64 (pow.f64 x 3) 2/3))) (.f64 (/.f64 1 5) (.f64 (.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))
✓	3.9b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	57.6b	(fabs.f64 (+.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/5 (pow.f64 x 5))) (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7)))))
✓	3.4b	(fabs.f64 (.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))))
	3.4b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
	60.1b	(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
✓	3.5b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
	3.8b	(fabs.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64))))
	3.2b	(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))))))
	59.9b	(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64)))))))
	60.2b	(fabs.f64 (/.f64 (*.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (PI.f64))))
	60.1b	(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
	57.6b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))))
	5.2b	(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
	0.8b	(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
	57.6b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	4.5b	(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
	1.9b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
✓	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))))
	57.7b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (pow.f64 (cbrt.f64 (.f64 1/21 (pow.f64 x 7))) 3))))
	59.8b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
✓	57.3b	(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))))
	5.0b	(fabs.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))) 3)))
	3.9b	(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))

Compiler

Compiled 442 to 369 computations (16.5% saved)

regimes178.0ms (2%)

Counts

51 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 2/3 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(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 (*.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (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 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2)))
(fabs.f64 (.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))) 3)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fabs.f64 (/.f64 (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 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/5 (pow.f64 x 5))) (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7)))))
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (pow.f64 (cbrt.f64 (.f64 1/21 (pow.f64 x 7))) 3))))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 (pow.f64 x 3) 2/3))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.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))))))
(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 2 (*.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 0 (.f64 (pow.f64 x 3) 2/3))) (.f64 (/.f64 1 5) (.f64 (.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 0 (.f64 (pow.f64 x 3) 2/3))) (.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 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 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (+.f64 0 (*.f64 (pow.f64 x 3) 2/3))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (*.f64 (pow.f64 x 6) (*.f64 x 1/21))))))

Calls

5 calls:

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)))))
31.0ms	(fabs.f64 x)
31.0ms	(+.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))))
30.0ms	(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))))))
24.0ms	x

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	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))))))`
0.3b	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)))))`
0.3b	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))))`
0.3b	1	`(fabs.f64 x)`

Compiler

Compiled 1138 to 709 computations (37.7% saved)

regimes48.0ms (0.5%)

Counts

46 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 2/3 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(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 (*.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (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 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2)))
(fabs.f64 (.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))) 3)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fabs.f64 (/.f64 (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 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/5 (pow.f64 x 5))) (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7)))))
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (pow.f64 (cbrt.f64 (.f64 1/21 (pow.f64 x 7))) 3))))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 (pow.f64 x 3) 2/3))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.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))))))
(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 2 (*.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))

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

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 706 to 499 computations (29.3% saved)

regimes63.0ms (0.7%)

Counts

43 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 2/3 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(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 (*.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (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 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2)))
(fabs.f64 (.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))) 3)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fabs.f64 (/.f64 (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 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/5 (pow.f64 x 5))) (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7)))))
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (pow.f64 (cbrt.f64 (.f64 1/21 (pow.f64 x 7))) 3))))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 (pow.f64 x 3) 2/3))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.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))))))
(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 2 (*.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))

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

Calls

1 calls:

45.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 634 to 449 computations (29.2% saved)

regimes34.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 2/3 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(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 (*.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (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 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2)))
(fabs.f64 (.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))) 3)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fabs.f64 (/.f64 (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 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/5 (pow.f64 x 5))) (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7)))))
(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))))

Outputs
(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))))

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 491 to 344 computations (29.9% saved)

regimes67.0ms (0.7%)

Counts

32 → 2

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 2/3 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(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 (*.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (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 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2)))
(fabs.f64 (.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))) 3)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))

Outputs

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

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

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
0.7b	2	`x`

Compiler

Compiled 414 to 287 computations (30.7% saved)

bsearch55.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
54.0ms	-1787.138185799516	-0.006740584605401994

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes50.0ms (0.5%)

Counts

31 → 2

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 2/3 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(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 (*.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (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 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (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 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2)))
(fabs.f64 (.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))) 3)))
(fabs.f64 (/.f64 (+.f64 (.f64 2 x) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) x) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))))
(fabs.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))

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:

39.0ms

Results

Error	Segments	Branch
0.7b	2	`x`

Compiler

Compiled 394 to 271 computations (31.2% saved)

bsearch56.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
55.0ms	-1787.138185799516	-0.006740584605401994

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes31.0ms (0.3%)

Counts

20 → 2

Calls

Call 1

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

Outputs
(fabs.f64 (/.f64 (*.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:

24.0ms

Results

Error	Segments	Branch
0.9b	2	`x`

Compiler

Compiled 220 to 148 computations (32.7% saved)

bsearch61.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	-1787.138185799516	-0.006740584605401994

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes11.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 2/3 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(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 (*.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (PI.f64))))

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
3.4b	1	`x`

Compiler

Compiled 127 to 82 computations (35.4% saved)

regimes14.0ms (0.2%)

Accuracy

Total -56.9b remaining (-1623.2%)

Threshold costs -56.9b (-1623.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 2/3 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(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:

11.0ms

Results

Error	Segments	Branch
3.5b	1	`x`

Compiler

Compiled 103 to 65 computations (36.9% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
10×	`fabs-mul_binary64`
9×	`+-commutative_binary64`
8×	`fabs-div_binary64`
2×	`+-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	364
1	137	364
2	152	364

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 0 (.f64 (pow.f64 x 3) 2/3))) (.f64 (/.f64 1 5) (.f64 (.f64 (pow.f64 x 3) (fabs.f64 x)) (fabs.f64 x)))) (+.f64 0 (.f64 (pow.f64 x 6) (.f64 x 1/21))))))
(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
(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 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x -7859916862916293/4398046511104) (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 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(if (<=.f64 x -7859916862916293/4398046511104) (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 -7859916862916293/4398046511104) (fabs.f64 (/.f64 (.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)))))
(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 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 0 (.f64 (pow.f64 x 3) 2/3))) (.f64 (/.f64 1 5) (.f64 (.f64 (pow.f64 x 3) (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 (pow.f64 x 3) 2/3)) (.f64 1/5 (.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (pow.f64 x 3))))) (.f64 (pow.f64 x 6) (.f64 x 1/21)))))
(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
(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 2 (.f64 2/3 (.f64 x x))) (*.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 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x -7859916862916293/4398046511104) (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 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(if (<=.f64 x -7859916862916293/4398046511104) (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 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))))
(if (<=.f64 x -7859916862916293/4398046511104) (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 -7859916862916293/4398046511104) (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 -7859916862916293/4398046511104) (fabs.f64 (/.f64 (.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 -7859916862916293/4398046511104) (fabs.f64 (/.f64 (.f64 1/21 (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 240 to 193 computations (19.6% saved)

soundness0.0ms (0%)

end156.0ms (1.7%)

Compiler: Compiled 231 to 167 computations (27.7% saved)