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)

sample1.9s (19.6%)

Results

1.8s	8256×	body	256	valid
2.0ms	3×	body	256	invalid

preprocess96.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 69 to 32 computations (53.6% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval2.0ms (0%)

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

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
▶	0.6b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))

Status

Error

Program

▶

0.1b

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

▶

0.6b

(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)

localize144.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
✓	0.1b	(.f64 (/.f64 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)))))
✓	0.2b	(.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)

series19.0ms (0.2%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	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)))))
1.0ms	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)))

rewrite83.0ms (0.9%)

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

simplify167.0ms (1.8%)

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

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

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series16.0ms (0.2%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(fma.f64 2/3 (*.f64 x x) 2)
1.0ms	x	@	0	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
1.0ms	x	@	inf	(/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
1.0ms	x	@	-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))

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

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

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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))))))

simplify140.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 9 (0.0ms)

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

Stop Event

1×	node limit

Counts

104 → 100

Calls

Call 1

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

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

eval323.0ms (3.4%)

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

prune60.0ms (0.6%)

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
	0.6b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
	57.1b	(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)))
	57.3b	(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
	56.8b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (.f64 x (.f64 x 2/3)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
▶	3.9b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
	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))))
	3.9b	(fabs.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 2 (.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))))
	0.5b	(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) -1))
▶	57.1b	(fabs.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)))))))
	57.3b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
	3.8b	(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))))))
▶	4.0b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
▶	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))))

Compiler

Compiled 536 to 446 computations (16.8% saved)

localize64.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(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	@	0	(fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))
0.0ms	x	@	inf	(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	50
1	402	50
2	4332	50

Stop Event

1×	node limit

Counts

2 → 53

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

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

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1202×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
594×	`cube-prod_binary64`
429×	`fabs-mul_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	627
1	108	541
2	274	477
3	806	471
4	1843	471
5	2024	471
6	2225	471
7	2667	471
8	3546	471
9	3689	465
10	4440	465
11	4826	465
12	5422	465
13	6295	465
14	7402	465

Stop Event

1×	node limit

Counts

77 → 76

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

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 24 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

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 3 expressions with local error:

New	Error	Program
✓	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)

series38.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	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)

rewrite74.0ms (0.8%)

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	41
1	243	35
2	2784	35

Stop Event

1×	node limit

Counts

3 → 100

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))

Outputs

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

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

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

simplify192.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	630
1	52	504
2	112	468
3	259	468
4	796	468
5	1229	468
6	1791	468
7	1907	468
8	2057	468
9	2244	468
10	2499	468
11	2831	468
12	3238	468
13	3766	468
14	4434	468
15	5260	468
16	5659	468
17	6025	468
18	6363	468
19	6611	468
20	6835	468

Stop Event

1×	node limit

Counts

136 → 112

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))))))

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

localize33.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	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)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	321	24
2	3607	24

Stop Event

1×	node limit

Counts

1 → 39

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)))

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 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 1) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> 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(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))))))

simplify172.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

788×	`sqr-pow_binary64`
598×	`cube-prod_binary64`
597×	`fma-def_binary64`
520×	`associate-l_binary64`
487×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	408
1	54	345
2	129	285
3	312	273
4	652	273
5	1811	273
6	2621	273
7	3295	273
8	3412	273
9	3585	273
10	3804	273
11	4136	273
12	4596	273
13	5196	273
14	5950	273
15	6886	273
16	7394	273
17	7884	273

Stop Event

1×	node limit

Counts

51 → 49

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)))))))

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

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 100 to 79 computations (21% saved)

series7.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary64`
388×	`pow2_binary64`
270×	`pow-unpow_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	337	46
2	3749	46

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/5) (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/5 (pow.f64 x 5)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/25 (.f64 (/.f64 1 (PI.f64)) (pow.f64 x 10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/25 (.f64 (/.f64 1 (PI.f64)) (pow.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5) (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.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 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (/.f64 1 (PI.f64)) (pow.f64 x 14)) 1/441) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (/.f64 1 (PI.f64)) (pow.f64 x 14)) 1/441))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1 (PI.f64)) (pow.f64 x 10)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 15) (pow.f64 (PI.f64) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 15)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 15) (pow.f64 (PI.f64) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 15)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1 (PI.f64)) (pow.f64 x 14)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 21) (pow.f64 (PI.f64) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 21) (pow.f64 (PI.f64) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))))))

simplify160.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	312
1	25	312
2	43	312
3	81	312
4	194	312
5	633	312
6	924	312
7	1562	312
8	1671	312
9	1833	312
10	2046	312
11	2376	312
12	2832	312
13	3430	312
14	4182	312
15	5118	312
16	5628	312
17	6114	312
18	6514	312
19	6834	312
20	6996	312

Stop Event

1×	node limit

Counts

106 → 84

Calls

Call 1

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

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

eval244.0ms (2.6%)

Compiler: Compiled 9566 to 7075 computations (26% saved)

prune74.0ms (0.8%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	416	12	428
Fresh	6	3	9
Picked	1	0	1
Done	1	3	4
Total	424	18	442

Error

Counts

442 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	3.9b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
	0.6b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
▶	57.3b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
	56.8b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (.f64 x (.f64 x 2/3)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
▶	3.8b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 x (fma.f64 x (*.f64 x 2/3) 2))) (pow.f64 (PI.f64) -1/2)))
✓	3.9b	(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
	57.3b	(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))))
▶	0.1b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x (fma.f64 2/3 (.f64 x x) 2)) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	4.3b	(fabs.f64 (+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
✓	4.0b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
	60.0b	(fabs.f64 (.f64 x (.f64 x (.f64 (.f64 2/3 x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
▶	3.9b	(fabs.f64 (.f64 x (+.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 x (.f64 x 2/3))) (*.f64 (pow.f64 (PI.f64) -1/2) 2))))
	57.1b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
	32.8b	(fabs.f64 (exp.f64 (log.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))))))
	58.7b	(fabs.f64 (+.f64 (.f64 1/5 (.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/21 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (pow.f64 x 14))))))
▶	4.4b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
✓	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))))

Compiler

Compiled 567 to 464 computations (18.2% saved)

localize107.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (fma.f64 2/3 (.f64 x x) 2))
	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) (+.f64 (.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 121 to 82 computations (32.2% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite128.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log-prod_binary64`
398×	`fma-def_binary64`
354×	`expm1-udef_binary64`
354×	`log1p-udef_binary64`
291×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	433	43
2	4983	43

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1202×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
594×	`cube-prod_binary64`
435×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	579
1	100	493
2	258	429
3	764	423
4	1788	417
5	2612	417
6	2813	417
7	3255	417
8	4134	417
9	4277	417
10	4504	417
11	4938	417
12	5534	417
13	6407	417
14	7518	417

Stop Event

1×	node limit

Counts

66 → 61

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

53 → 43

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify128.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

27 → 17

Calls

Call 1

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

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

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 2/3))
✓	0.1b	(.f64 x (+.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 x (.f64 x 2/3))) (*.f64 (pow.f64 (PI.f64) -1/2) 2)))
✓	0.2b	(.f64 (pow.f64 (PI.f64) -1/2) (.f64 x (*.f64 x 2/3)))
	0.4b	(*.f64 x 2/3)

Compiler

Compiled 81 to 58 computations (28.4% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`log-prod_binary64`
539×	`fma-def_binary64`
363×	`pow2_binary64`
282×	`pow-unpow_binary64`
254×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	289	39
2	3804	39

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

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

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

simplify186.0ms (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	19	582
1	46	519
2	102	501
3	257	501
4	827	501
5	1277	501
6	1837	501
7	1953	501
8	2103	501
9	2290	501
10	2545	501
11	2879	501
12	3286	501
13	3813	501
14	4471	501
15	5297	501
16	5702	501
17	6070	501
18	6406	501
19	6656	501
20	6878	501

Stop Event

1×	node limit

Counts

145 → 119

Calls

Call 1

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

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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (fma.f64 x (.f64 x 2/3) 2))
✓	0.0b	(fma.f64 1/5 (pow.f64 x 5) (.f64 x (fma.f64 x (.f64 x 2/3) 2)))
✓	0.1b	(.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 x (fma.f64 x (*.f64 x 2/3) 2))) (pow.f64 (PI.f64) -1/2))
	0.4b	(*.f64 x 2/3)

Compiler

Compiled 79 to 56 computations (29.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite110.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
379×	`pow-prod-down_binary64`
377×	`pow2_binary64`
262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	315	54
2	3458	54

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify157.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
664×	`fma-def_binary64`
636×	`associate-l_binary64`
596×	`unswap-sqr_binary64`
525×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	690
1	71	609
2	167	555
3	413	555
4	904	555
5	2225	555
6	2770	555
7	3769	555
8	3883	555
9	4055	555
10	4274	555
11	4883	555
12	5335	555
13	5920	555
14	6659	555
15	7585	555

Stop Event

1×	node limit

Counts

108 → 91

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

eval354.0ms (3.7%)

Compiler: Compiled 10068 to 7480 computations (25.7% saved)

prune99.0ms (1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	460	12	472
Fresh	5	5	10
Picked	1	0	1
Done	5	2	7
Total	471	19	490

Error

Counts

490 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	4.4b	(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
▶	58.9b	(fabs.f64 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))))
▶	58.9b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (sqrt.f64 (.f64 (pow.f64 x 14) 1/441))))
	3.9b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
	0.6b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
✓	57.3b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
▶	4.0b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
	60.0b	(fabs.f64 (.f64 x (.f64 x (.f64 (.f64 2/3 x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
▶	0.1b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
▶	0.8b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	57.3b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
	57.1b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
	3.9b	(fabs.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x 2/3) 2)) (pow.f64 (PI.f64) -1/2)))
	57.4b	(fabs.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 7) (/.f64 1/21 (sqrt.f64 (PI.f64))))) 3))
✓	4.4b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	3.8b	(fabs.f64 (.f64 (+.f64 (.f64 x (fma.f64 x (.f64 x 2/3) 2)) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2)))
	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))))
	56.8b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x (.f64 x (.f64 x 2/3))) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	3.9b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (pow.f64 (PI.f64) -1/2)))

Compiler

Compiled 574 to 480 computations (16.4% saved)

localize80.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 132 to 90 computations (31.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x (+.f64 (.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) (+.f64 (.f64 x (+.f64 (.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) (+.f64 (.f64 x (+.f64 (.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 x (+.f64 (.f64 2/3 (*.f64 x x)) 2))
0.0ms	x	@	0	(.f64 2/3 (.f64 x x))

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`fma-def_binary64`
388×	`expm1-udef_binary64`
388×	`log1p-udef_binary64`
315×	`fma-neg_binary64`
230×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	471	50
2	5731	50

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify146.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1702×	`fma-def_binary64`
720×	`sqr-pow_binary64`
446×	`*-commutative_binary64`
439×	`unswap-sqr_binary64`
424×	`cube-prod_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	39	663
1	107	577
2	270	513
3	813	507
4	2215	507
5	2675	507
6	3510	507
7	3676	507
8	3911	507
9	4204	501
10	5615	501
11	6143	501
12	6814	501
13	7661	501

Stop Event

1×	node limit

Counts

119 → 105

Calls

Call 1

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

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

localize12.0ms (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)

rewrite73.0ms (0.8%)

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))))))))))

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

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))

localize45.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 x 14) 1/441)
✓	0.0b	(.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))
✓	5.5b	(sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441)))

Compiler

Compiled 47 to 37 computations (21.3% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))
1.0ms	x	@	inf	(.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))
1.0ms	x	@	0	(sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441)))
1.0ms	x	@	inf	(*.f64 (pow.f64 x 14) 1/441)
1.0ms	x	@	inf	(sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441)))

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
370×	`exp-prod_binary64`
364×	`prod-exp_binary64`
286×	`pow-prod-down_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	230	31
2	2615	31

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441)))
(.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))
(*.f64 (pow.f64 x 14) 1/441)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.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 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 1/6) (cbrt.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 1/4) (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))) 1/21)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/194481 (pow.f64 x 28)) (pow.f64 (PI.f64) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/441) (/.f64 (pow.f64 x 14) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/441) (/.f64 (pow.f64 x 14) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/441) (/.f64 (pow.f64 x 14) (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/441) (/.f64 (pow.f64 x 14) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 (pow.f64 x 14) 1/441)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 14) (/.f64 (PI.f64) 1/441))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/441 (/.f64 (PI.f64) (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 14) 1/441) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x 14) 1/441) 3) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 x 14) 1/441)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))))) (sqrt.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/194481 (pow.f64 x 28)) (pow.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/441) (/.f64 (pow.f64 x 14) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))))))))) (#(struct:change #<rule 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(log.f64 (*.f64 (pow.f64 x 14) 1/441)) 1) (*.f64 (log.f64 (PI.f64)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441)) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441)) 1) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 1/2) (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 1) (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (*.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 1/2) (*.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 1) (*.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (*.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 1/2) (*.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 1) (*.f64 (log.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 14) 1/441))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/441) (pow.f64 x 14))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/441) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/441) (pow.f64 x 14)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/441) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 14) 1/441))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 14) 1/441) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x 14) 1/441)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/194481 (pow.f64 x 28)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 14) 1/441) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/21 (pow.f64 x 7)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/194481 (pow.f64 x 28)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/441) (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 14) 1/441))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 14) 1/441) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 14) 1/441)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 14) 1/441)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 x 14) 1/441))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/21 (pow.f64 x 7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441)) 1) 1))))))

simplify146.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1040×	`*-commutative_binary64`
801×	`associate-/r/_binary64`
737×	`associate-/r*_binary64`
733×	`associate-*r/_binary64`
522×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	408
1	38	408
2	80	408
3	208	408
4	731	408
5	1608	408
6	4676	408
7	5171	408
8	5691	408
9	6079	408
10	6334	408
11	6692	408
12	7789	408

Stop Event

1×	node limit

Counts

166 → 136

Calls

Call 1

Inputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 -1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))

Outputs
(.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 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 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 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 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 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 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 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 -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 (pow.f64 x 7) -1/21))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/21))
(.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 (pow.f64 x 7) -1/21))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/21))
(.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 (pow.f64 x 7) -1/21))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/21))
(.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 (pow.f64 x 7) -1/21))
(.f64 (pow.f64 x 7) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -1/21))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))
(*.f64 1/441 (pow.f64 x 14))

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (pow.f64 x 14) 1/441)
✓	0.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (sqrt.f64 (.f64 (pow.f64 x 14) 1/441)))
✓	5.5b	(sqrt.f64 (*.f64 (pow.f64 x 14) 1/441))

Compiler

Compiled 50 to 40 computations (20% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (*.f64 (pow.f64 x 14) 1/441))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 (pow.f64 x 14) 1/441))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 (pow.f64 x 14) 1/441))
0.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (sqrt.f64 (.f64 (pow.f64 x 14) 1/441)))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (sqrt.f64 (.f64 (pow.f64 x 14) 1/441)))

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
437×	`prod-exp_binary64`
372×	`exp-prod_binary64`
333×	`pow-prod-down_binary64`
276×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	249	20
2	2744	20

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (pow.f64 x 14) 1/441))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (sqrt.f64 (.f64 (pow.f64 x 14) 1/441)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7))) 2)) (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 *.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 (*.f64 1/21 (pow.f64 x 7))) (cbrt.f64 (*.f64 (pow.f64 x 14) 1/441)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/21 (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 (*.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 pow.f64 (*.f64 (pow.f64 x 14) 1/441) 1/2)))) (#(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 (E.f64) (log.f64 (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/194481 (pow.f64 x 28)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 6) 1/6)))) (#(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 (pow.f64 x 14) 1/441)) 3/2)))) (#(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 (sqrt.f64 (*.f64 1/21 (pow.f64 x 7))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (pow.f64 x 14) 1/441)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/21 (pow.f64 x 7)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/21 (pow.f64 x 7))))) (sqrt.f64 (log.f64 (*.f64 1/21 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/21 (pow.f64 x 7)))))) (#(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 (log.f64 (*.f64 1/21 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441)) 1/2))))) (#(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/21 (pow.f64 x 7)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/21 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 14) 1/441)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/21 (pow.f64 x 7))) 1) 1))))))

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

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
749×	`cube-prod_binary64`
629×	`sqr-pow_binary64`
483×	`associate-l_binary64`
450×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	276
1	29	276
2	58	276
3	139	276
4	391	276
5	1326	276
6	1593	276
7	1918	276
8	3201	276
9	3302	276
10	3461	276
11	3667	276
12	3974	276
13	4402	276
14	4967	276
15	5646	276
16	6506	276
17	7172	276
18	7733	276

Stop Event

1×	node limit

Counts

106 → 88

Calls

Call 1

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

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

localize48.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 86 to 67 computations (22.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
349×	`fma-def_binary64`
307×	`expm1-udef_binary64`
307×	`log1p-udef_binary64`
303×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	25
1	372	25
2	4311	25

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

simplify160.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

788×	`sqr-pow_binary64`
598×	`cube-prod_binary64`
597×	`fma-def_binary64`
520×	`associate-l_binary64`
487×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	408
1	54	345
2	129	285
3	312	273
4	652	273
5	1811	273
6	2621	273
7	3295	273
8	3412	273
9	3585	273
10	3804	273
11	4136	273
12	4596	273
13	5196	273
14	5950	273
15	6886	273
16	7394	273
17	7884	273

Stop Event

1×	node limit

Counts

36 → 34

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)))))))

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

eval262.0ms (2.8%)

Compiler: Compiled 8675 to 6774 computations (21.9% saved)

prune78.0ms (0.8%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	464	9	473
Fresh	3	9	12
Picked	0	1	1
Done	3	3	6
Total	470	22	492

Error

Counts

492 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	3.9b	(fabs.f64 (.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
	0.6b	(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))))
✓	4.0b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
	59.0b	(fabs.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))))))
	59.0b	(fabs.f64 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (expm1.f64 (log1p.f64 (.f64 (pow.f64 x 14) 1/441))))))
	60.0b	(fabs.f64 (.f64 x (.f64 x (.f64 (.f64 2/3 x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
	57.3b	(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7))))
✓	0.1b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
✓	0.8b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	4.4b	(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
	57.1b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))) (pow.f64 (PI.f64) -1/2)))
	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))))
	58.9b	(fabs.f64 (pow.f64 (cbrt.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64)))) 3/2))
	56.8b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x (.f64 x (.f64 x 2/3))) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
	59.0b	(fabs.f64 (exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 x 14) 1/441) (PI.f64))) 1/2)))
	3.9b	(fabs.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x 2/3) 2)) (pow.f64 (PI.f64) -1/2)))
✓	4.4b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	57.3b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
	3.8b	(fabs.f64 (.f64 (+.f64 (.f64 x (fma.f64 x (.f64 x 2/3) 2)) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2)))
	58.8b	(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))) 1/21))
	59.0b	(fabs.f64 (pow.f64 (exp.f64 1/2) (log.f64 (*.f64 1/441 (/.f64 (pow.f64 x 14) (PI.f64))))))
	3.9b	(fabs.f64 (.f64 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (pow.f64 (PI.f64) -1/2)))

Compiler

Compiled 330 to 279 computations (15.5% saved)

regimes167.0ms (1.8%)

Counts

49 → 1

Calls

Call 1

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

Calls

5 calls:

31.0ms	(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))))))
29.0ms	(fabs.f64 x)
28.0ms	(+.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))))
27.0ms	(.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)))))
26.0ms	x

Results

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

Compiler

Compiled 992 to 651 computations (34.4% saved)

regimes35.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 459 to 344 computations (25.1% saved)

regimes77.0ms (0.8%)

Counts

33 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

63.0ms

Results

Error	Segments	Branch
0.7b	2	`x`

Compiler

Compiled 397 to 296 computations (25.4% saved)

bsearch85.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
84.0ms	-6.922269893730041	-0.3968501202846383

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes59.0ms (0.6%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

1 calls:

36.0ms

Results

Error	Segments	Branch
0.8b	2	`x`

Compiler

Compiled 348 to 258 computations (25.9% saved)

bsearch46.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	-6.922269893730041	-0.3968501202846383

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes37.0ms (0.4%)

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

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.9b	2	`x`

Compiler

Compiled 267 to 197 computations (26.2% saved)

bsearch46.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
46.0ms	-6.922269893730041	-0.3968501202846383

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes28.0ms (0.3%)

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

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.9b	2	`x`

Compiler

Compiled 172 to 125 computations (27.3% saved)

bsearch45.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	-6.922269893730041	-0.3968501202846383

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes34.0ms (0.4%)

Counts

16 → 2

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (.f64 x (.f64 (.f64 2/3 x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))) 1/21))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 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)))))

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.9b	2	`x`

Compiler

Compiled 159 to 116 computations (27% saved)

bsearch56.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
56.0ms	-6.922269893730041	-0.3968501202846383

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes39.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

Inputs
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 2 x)))
(fabs.f64 (.f64 x (.f64 x (.f64 (.f64 2/3 x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 x 14) (PI.f64))) 1/21))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (pow.f64 x 14) 1/441))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/21 (pow.f64 x 7))))
(fabs.f64 (.f64 1/21 (.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fabs.f64 (.f64 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)) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
1.0b	2	`x`

Compiler

Compiled 147 to 109 computations (25.9% saved)

bsearch72.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
72.0ms	-6.922269893730041	-0.3968501202846383

Compiler

Compiled 72 to 34 computations (52.8% saved)

regimes14.0ms (0.1%)

Accuracy

Total -56.1b remaining (-1407%)

Threshold costs -56.1b (-1407%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
4.0b	1	`x`

Compiler

Compiled 55 to 37 computations (32.7% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`fabs-mul_binary64`
16×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`fabs-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	356
1	112	356
2	130	356

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (.f64 (fma.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 x (fma.f64 x (.f64 x 2/3) 2)) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (+.f64 (.f64 x (fma.f64 x (.f64 x 2/3) 2)) (*.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (.f64 x (fma.f64 x (.f64 x 2/3) 2)) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 x (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)))
(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) (+.f64 (.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 x 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
(fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 x 5) (+.f64 (.f64 1/21 (pow.f64 x 7)) (*.f64 x 2)))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (.f64 (fma.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 x (fma.f64 x (.f64 x 2/3) 2)) (.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (.f64 x (fma.f64 x (.f64 x 2/3) 2)) (.f64 1/5 (pow.f64 x 5))))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (+.f64 (.f64 x (fma.f64 x (.f64 x 2/3) 2)) (*.f64 1/5 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (.f64 x (fma.f64 x (.f64 x 2/3) 2)) (*.f64 1/5 (pow.f64 x 5))))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3))) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.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 2/3 (pow.f64 x 3))))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (.f64 x (fma.f64 x (.f64 x 2/3) 2)) (pow.f64 (PI.f64) -1/2))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 x (fma.f64 x (.f64 x 2/3) 2)))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 x (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)))
(if (<=.f64 x -3896891514245077/562949953421312) (fabs.f64 (/.f64 (.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))) (fabs.f64 (.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))))
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 2 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))

Compiler

Compiled 236 to 188 computations (20.3% saved)

soundness367.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 4179 to 2267 computations (45.8% saved)

end185.0ms (1.9%)

Compiler: Compiled 227 to 164 computations (27.8% saved)