Details

analyze4.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 71 to 33 computations (53.5% saved)

sample1.8s (17.1%)

Results

1.8s	8256×	body	256	valid
0.0ms	1×	body	256	invalid

preprocess88.0ms (0.8%)

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)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
▶	0.5b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))

Status

Error

Program

▶

0.2b

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

▶

0.5b

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

Compiler

Compiled 91 to 49 computations (46.2% saved)

localize73.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 405 to 117 computations (71.1% saved)

series16.0ms (0.2%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
4.0ms	x	@	0	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
3.0ms	x	@	inf	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
2.0ms	x	@	-inf	(.f64 (/.f64 2 3) (.f64 (*.f64 (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)))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	80
1	619	49

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify149.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1881×	`fma-def_binary64`
591×	`sqr-pow_binary64`
585×	`associate-l_binary64`
562×	`*-commutative_binary64`
429×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	684
1	57	684
2	138	684
3	429	660
4	1145	660
5	3389	660
6	3770	660
7	3872	660
8	4002	660
9	4200	660
10	4491	660
11	6502	660
12	7016	660
13	7680	660

Stop Event

1×	node limit

Counts

142 → 110

Calls

Call 1

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

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

localize83.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 105 to 68 computations (35.2% saved)

series10.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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)))
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)))
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 1/21 (pow.f64 x 7))
1.0ms	x	@	inf	(fma.f64 2/3 (*.f64 x x) 2)

rewrite141.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

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

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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 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) (log1p.f64 -20/21)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -20/21)) 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))))))

simplify195.0ms (1.9%)

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)

eval191.0ms (1.8%)

Compiler: Compiled 12028 to 6421 computations (46.6% saved)

prune50.0ms (0.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	262	14	276
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	264	14	278

Error

Counts

278 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	54.9b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))))
▶	0.1b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	55.0b	(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
▶	0.5b	(fabs.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64))))
	1.2b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
	54.6b	(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))))
▶	5.7b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
	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 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
	55.0b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
	0.5b	(fabs.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))))))
▶	5.5b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))))
▶	6.1b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))

Compiler

Compiled 552 to 454 computations (17.8% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 109 to 74 computations (32.1% saved)

series3.0ms (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 (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))
1.0ms	x	@	inf	(.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))
0.0ms	x	@	-inf	(.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2))
0.0ms	x	@	inf	(fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))
0.0ms	x	@	0	(fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)) (*.f64 (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/5 (pow.f64 x 5))) (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) -1/2)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) -1/2)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) -1/2)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) -1/2)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) -1/2)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (*.f64 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simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

78 → 81

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 24 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

26 → 16

Calls

Call 1

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

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

localize28.0ms (0.3%)

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)))
✓	0.4b	(*.f64 x 2/3)

Compiler

Compiled 60 to 43 computations (28.3% saved)

series9.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	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 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2)))
1.0ms	x	@	0	(*.f64 x 2/3)
0.0ms	x	@	-inf	(*.f64 x 2/3)

rewrite79.0ms (0.7%)

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 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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))))))

simplify227.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

182 → 151

Calls

Call 1

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

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

localize62.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 87 to 68 computations (21.8% saved)

series8.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5)))))
1.0ms	x	@	inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5)))))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5)))))
0.0ms	x	@	0	(fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))
0.0ms	x	@	inf	(fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

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

simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	555
1	62	488
2	153	432
3	414	420
4	920	420
5	2236	420
6	2781	420
7	3780	420
8	3895	420
9	4067	420
10	4286	420
11	4891	420
12	5343	420
13	5928	420
14	6665	420
15	7591	420

Stop Event

1×	node limit

Counts

97 → 86

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

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

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/5 (pow.f64 x 5))
	0.1b	(fma.f64 2/3 (pow.f64 x 3) (*.f64 1/5 (pow.f64 x 5)))
✓	0.3b	(/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 121 to 89 computations (26.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

0.0ms

inf

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

809×	`log-prod_binary64`
335×	`expm1-udef_binary64`
335×	`log1p-udef_binary64`
280×	`log-pow_binary64`
246×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	34
1	429	31
2	4672	31

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))) (sqrt.f64 (PI.f64)))

Outputs

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

simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 51

Calls

Call 1

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

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

eval303.0ms (2.9%)

Compiler: Compiled 12025 to 8960 computations (25.5% saved)

prune95.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	497	13	510
Fresh	3	6	9
Picked	1	0	1
Done	4	0	4
Total	505	19	524

Error

Counts

524 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.5b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	5.7b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
	59.5b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
▶	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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	55.0b	(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
▶	0.1b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
	0.9b	(fabs.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (.f64 2/3 (pow.f64 x 3)))) (sqrt.f64 (PI.f64))))
	55.0b	(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
	59.9b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
	1.2b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
	5.5b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
	0.5b	(fabs.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (.f64 1/5 (pow.f64 x 5))))))))
	6.1b	(fabs.f64 (.f64 (.f64 2 x) (pow.f64 (PI.f64) -1/2)))
▶	5.7b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
	54.6b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	0.5b	(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
	54.9b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
▶	6.1b	(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))

Compiler

Compiled 674 to 562 computations (16.6% saved)

localize126.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 141 to 113 computations (19.9% saved)

series5.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite143.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify155.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

50 → 53

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

53 → 43

Calls

Call 1

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

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

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (*.f64 x 2/3)) 2))
✓	0.1b	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2)))
✓	0.1b	(.f64 x (.f64 x 2/3))
	0.4b	(*.f64 x 2/3)

Compiler

Compiled 69 to 50 computations (27.5% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log-prod_binary64`
388×	`prod-diff_binary64`
334×	`pow2_binary64`
235×	`pow1/3_binary64`
234×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	281	38
2	3545	38

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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

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

simplify209.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

155 → 132

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))
✓	0.3b	(/.f64 x (sqrt.f64 (PI.f64)))
	0.4b	(*.f64 x 2/3)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 59 to 33 computations (44.1% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))
1.0ms	x	@	-inf	(/.f64 x (sqrt.f64 (PI.f64)))
0.0ms	x	@	-inf	(.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))
0.0ms	x	@	0	(/.f64 x (sqrt.f64 (PI.f64)))
0.0ms	x	@	0	(.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))

rewrite109.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
371×	`exp-prod_binary64`
362×	`prod-exp_binary64`
298×	`pow-prod-down_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	209	24
2	2561	24

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

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

simplify158.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
749×	`cube-prod_binary64`
629×	`sqr-pow_binary64`
500×	`unpow3_binary64`
450×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	426
1	34	363
2	78	345
3	186	345
4	398	345
5	958	345
6	1252	345
7	1581	345
8	2863	345
9	2964	345
10	3124	345
11	3330	345
12	3637	345
13	4065	345
14	4629	345
15	5309	345
16	6163	345
17	6825	345
18	7382	345
19	7948	345

Stop Event

1×	node limit

Counts

125 → 108

Calls

Call 1

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

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

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 55 computations (26.7% saved)

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 x 2 (*.f64 1/21 (pow.f64 x 7)))
0.0ms	x	@	-inf	(fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	321	35
2	3607	35

Stop Event

1×	node limit

Counts

2 → 69

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

simplify175.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

788×	`sqr-pow_binary64`
590×	`fma-def_binary64`
545×	`associate-l_binary64`
528×	`cube-prod_binary64`
471×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	525
1	59	450
2	134	402
3	317	390
4	685	390
5	1884	390
6	2683	390
7	3339	390
8	3457	390
9	3630	390
10	3849	390
11	4181	390
12	4641	390
13	5240	390
14	5989	390
15	6923	390
16	7431	390
17	7917	390

Stop Event

1×	node limit

Counts

93 → 83

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

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

eval285.0ms (2.7%)

Compiler: Compiled 12004 to 8518 computations (29% saved)

prune213.0ms (2%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	593	9	602
Fresh	5	9	14
Picked	1	0	1
Done	0	4	4
Total	599	22	621

Error

Counts

621 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.5b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	6.5b	(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
	5.7b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
	59.5b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
▶	0.2b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)))) (pow.f64 (PI.f64) -1/2)))
▶	54.6b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	55.0b	(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
▶	54.9b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
	54.8b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	0.5b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	55.0b	(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
✓	0.1b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
	0.9b	(fabs.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 2 x (.f64 2/3 (pow.f64 x 3)))) (sqrt.f64 (PI.f64))))
	1.2b	(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -1))
✓	6.1b	(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
✓	5.7b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
	1.2b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	59.9b	(fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))
▶	6.1b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
▶	59.9b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2/3 (.f64 x x)))))
	5.5b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
	1.8b	(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))))))

Compiler

Compiled 672 to 569 computations (15.3% saved)

localize83.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)))) (pow.f64 (PI.f64) -1/2))
	0.1b	(*.f64 2/3 (pow.f64 x 3))
✓	0.2b	(pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)
✓	16.2b	(cbrt.f64 (*.f64 1/21 (pow.f64 x 7)))

Compiler

Compiled 170 to 140 computations (17.6% saved)

series12.0ms (0.1%)

Counts

3 → 6

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)))) (pow.f64 (PI.f64) -1/2))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)
1.0ms	x	@	0	(cbrt.f64 (*.f64 1/21 (pow.f64 x 7)))
1.0ms	x	@	-inf	(.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)))) (pow.f64 (PI.f64) -1/2))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`expm1-udef_binary64`
440×	`log1p-udef_binary64`
263×	`add-sqr-sqrt_binary64`
253×	`add-log-exp_binary64`
253×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	48
1	572	48
2	6880	48

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(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 *.f64 1/21 (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 7) 1/21)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/21 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (cbrt.f64 (pow.f64 x 7)) 1/21))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/21) (*.f64 (cbrt.f64 (pow.f64 x 7)) (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1/6) (*.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1/6) (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) 1/21))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/21) 3) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441))) 3) (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/21 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/21 (pow.f64 x 7/2)) (pow.f64 x 7/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) 1) (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (cbrt.f64 1/21)) (cbrt.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)))) (cbrt.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1/6)) (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1/6))))) (#(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 (*.f64 (pow.f64 (pow.f64 x 7) 3) 1/9261))))) (#(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 (log.f64 (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/21 (pow.f64 x 7))) 1))))))

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

simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	164
1	55	143
2	138	123
3	366	119
4	821	119
5	1983	119
6	2783	119
7	3455	119
8	3571	119
9	3743	119
10	3962	119
11	4294	119
12	4754	119
13	5355	119
14	6109	119
15	7041	119
16	7549	119

Stop Event

1×	node limit

Counts

85 → 87

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 25

Calls

Call 1

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

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

localize23.0ms (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))))
✓	0.1b	(.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)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	225	33
2	2655	33

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

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

simplify234.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1138×	`sqr-pow_binary64`
769×	`cube-prod_binary64`
676×	`pow-sqr_binary64`
674×	`fabs-mul_binary64`
392×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	468
1	37	468
2	79	468
3	211	468
4	672	468
5	894	468
6	1324	468
7	1435	468
8	1585	468
9	1775	468
10	2028	468
11	2360	468
12	2767	468
13	3295	468
14	3955	468
15	4781	468
16	5184	468
17	5548	468
18	5888	468
19	6136	468
20	6364	468
21	7594	468

Stop Event

1×	node limit

Counts

134 → 104

Calls

Call 1

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

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 55 computations (20.3% saved)

series30.0ms (0.3%)

Counts

2 → 15

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))
1.0ms	x	@	inf	(.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2))
1.0ms	x	@	0	(.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2))
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2))
0.0ms	x	@	inf	(+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7)))

rewrite103.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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

simplify170.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

108 → 102

Calls

Call 1

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

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

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 108 to 87 computations (19.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

43 → 41

Calls

Call 1

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

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

eval531.0ms (5%)

Compiler: Compiled 10385 to 8242 computations (20.6% saved)

prune229.0ms (2.2%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	474	5	479
Fresh	4	9	13
Picked	0	1	1
Done	2	6	8
Total	480	21	501

Error

Counts

501 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.5b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	5.7b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
✓	54.9b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
	54.8b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
	0.5b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	55.0b	(fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
	54.9b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)) (pow.f64 (PI.f64) -1/2)))
✓	0.1b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
	6.5b	(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
	55.0b	(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
	1.2b	(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -1))
✓	6.1b	(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
✓	5.7b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
	1.2b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	59.5b	(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) 1))
✓	54.6b	(fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	59.9b	(fabs.f64 (.f64 x (+.f64 0 (.f64 (*.f64 x x) (/.f64 2/3 (sqrt.f64 (PI.f64)))))))
✓	6.1b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
	5.5b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2)))
	1.8b	(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))))))
	59.9b	(fabs.f64 (.f64 x (/.f64 (.f64 2/3 (*.f64 x x)) (sqrt.f64 (PI.f64)))))

Compiler

Compiled 335 to 284 computations (15.2% saved)

regimes460.0ms (4.4%)

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

Outputs
(fabs.f64 (.f64 (fma.f64 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)))

Calls

5 calls:

110.0ms	x
94.0ms	(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))))))
44.0ms	(.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)))))
43.0ms	(+.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))))
41.0ms	(fabs.f64 x)

Results

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

Compiler

Compiled 947 to 606 computations (36% saved)

regimes109.0ms (1%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

1 calls:

55.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 511 to 370 computations (27.6% saved)

regimes40.0ms (0.4%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 326 to 236 computations (27.6% saved)

regimes36.0ms (0.3%)

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.3b	2	`x`

Compiler

Compiled 286 to 205 computations (28.3% saved)

bsearch59.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
58.0ms	-150.60384961446277	-0.005505333190974521

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes54.0ms (0.5%)

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

46.0ms

Results

Error	Segments	Branch
0.3b	2	`x`

Compiler

Compiled 256 to 182 computations (28.9% saved)

bsearch156.0ms (1.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
155.0ms	-150.60384961446277	-0.005505333190974521

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes35.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.5b	2	`x`

Compiler

Compiled 236 to 166 computations (29.7% saved)

bsearch61.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	-150.60384961446277	-0.005505333190974521

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes32.0ms (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 (.f64 2 x) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 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 x (.f64 x (.f64 x (.f64 2/3 (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 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 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))

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

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.5b	2	`x`

Compiler

Compiled 220 to 153 computations (30.5% saved)

bsearch59.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	-150.60384961446277	-0.005505333190974521

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes49.0ms (0.5%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

38.0ms

Results

Error	Segments	Branch
0.5b	2	`x`

Compiler

Compiled 180 to 127 computations (29.4% saved)

bsearch78.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
78.0ms	-150.60384961446277	-0.005505333190974521

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes26.0ms (0.2%)

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

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
5.7b	1	`x`

Compiler

Compiled 126 to 83 computations (34.1% saved)

regimes25.0ms (0.2%)

Accuracy

Total -54.1b remaining (-884.2%)

Threshold costs -54.1b (-884.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
6.1b	1	`x`

Compiler

Compiled 111 to 72 computations (35.1% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`fabs-mul_binary64`
15×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`fabs-div_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	408
1	126	408
2	146	408

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2))) (fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2))) (fabs.f64 (.f64 x (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))) (fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2))))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))

Outputs
(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (.f64 x 2) (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3)))))))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x 2))) (sqrt.f64 (PI.f64))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (.f64 x 2) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2))) (fabs.f64 (.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 1/5 (pow.f64 x 5))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (.f64 x 2) (+.f64 (.f64 1/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2))) (fabs.f64 (.f64 x (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 1/5 (pow.f64 x 5))))) (fabs.f64 (.f64 x (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))) (fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))) (fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 x (.f64 x 2/3)) 2)))))
(if (<=.f64 x -1324725470711439/8796093022208) (fabs.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))) (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 272 to 222 computations (18.4% saved)

soundness282.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 4179 to 2267 computations (45.8% saved)

end220.0ms (2.1%)

Compiler: Compiled 262 to 197 computations (24.8% saved)