Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 71 to 33 computations (53.5% saved)

sample1.6s (18.8%)

Results

1.6s	8256×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess78.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 69 to 32 computations (53.6% saved)

simplify73.0ms (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 → 7

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))))

eval3.0ms (0%)

Compiler: Compiled 250 to 129 computations (48.4% saved)

prune8.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	5	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	5	8

Error

Counts

8 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 322 to 212 computations (34.2% saved)

localize59.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 277 to 71 computations (74.4% saved)

series17.0ms (0.2%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
2.0ms	x	@	-inf	(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
1.0ms	x	@	0	(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
1.0ms	x	@	inf	(.f64 1/21 (.f64 (fabs.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))))
1.0ms	x	@	-inf	(.f64 1/21 (.f64 (fabs.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))))

Compiler

Compiled 348 to 288 computations (17.2% saved)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`log-prod_binary64`
377×	`pow-prod-down_binary64`
355×	`pow-unpow_binary64`
302×	`pow2_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	292	25
2	3575	22

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 1/6) (cbrt.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 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) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3) 1/6)))) (#(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 (PI.f64)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (PI.f64))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 12) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 8)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 6) 4/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 2/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))))))
((#(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 pow.f64 (.f64 1/21 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/441 (pow.f64 (.f64 x x) 7)) 1/2)))) (#(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 1/441 (pow.f64 (.f64 x 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 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 (.f64 (sqrt.f64 1/21) (pow.f64 x 7/2))) 2))))))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

628×	`log-prod_binary64`
369×	`sqr-pow_binary64`
314×	`exp-prod_binary64`
310×	`unswap-sqr_binary64`
275×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	259	1147
1	572	1093
2	1444	890
3	4644	827

Stop Event

1×	node limit

Counts

132 → 125

Calls

Call 1

Inputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 (/.f64 1 x) -4)
(pow.f64 (/.f64 1 x) -4)
(pow.f64 (/.f64 1 x) -4)
(pow.f64 (/.f64 1 x) -4)
(pow.f64 (/.f64 -1 x) -4)
(pow.f64 (/.f64 -1 x) -4)
(pow.f64 (/.f64 -1 x) -4)
(pow.f64 (/.f64 -1 x) -4)
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) -2) (fabs.f64 x)))
(.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) -2) (fabs.f64 x)))
(.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) -2) (fabs.f64 x)))
(.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) -2) (fabs.f64 x)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -2)))
(.f64 1/21 (.f64 (fabs.f64 x) (pow.f64 x 6)))
(.f64 1/21 (.f64 (fabs.f64 x) (pow.f64 x 6)))
(.f64 1/21 (.f64 (fabs.f64 x) (pow.f64 x 6)))
(.f64 1/21 (.f64 (fabs.f64 x) (pow.f64 x 6)))
(.f64 1/21 (.f64 (pow.f64 (/.f64 1 x) -6) (fabs.f64 x)))
(.f64 1/21 (.f64 (pow.f64 (/.f64 1 x) -6) (fabs.f64 x)))
(.f64 1/21 (.f64 (pow.f64 (/.f64 1 x) -6) (fabs.f64 x)))
(.f64 1/21 (.f64 (pow.f64 (/.f64 1 x) -6) (fabs.f64 x)))
(.f64 1/21 (.f64 (pow.f64 (/.f64 -1 x) -6) (fabs.f64 x)))
(.f64 1/21 (.f64 (pow.f64 (/.f64 -1 x) -6) (fabs.f64 x)))
(.f64 1/21 (.f64 (pow.f64 (/.f64 -1 x) -6) (fabs.f64 x)))
(.f64 1/21 (.f64 (pow.f64 (/.f64 -1 x) -6) (fabs.f64 x)))
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(pow.f64 (pow.f64 (PI.f64) 3) 1/6)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(pow.f64 (pow.f64 (PI.f64) 1/6) 3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (PI.f64))) 2))
(+.f64 0 (pow.f64 x 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)
(pow.f64 x 4)
(pow.f64 (*.f64 x x) 2)
(pow.f64 (pow.f64 x 4) 1)
(pow.f64 (pow.f64 x 6) 2/3)
(pow.f64 (pow.f64 x 12) 1/3)
(pow.f64 (pow.f64 x 8) 1/2)
(pow.f64 (pow.f64 x 3) 4/3)
(pow.f64 (*.f64 x (cbrt.f64 x)) 3)
(pow.f64 (cbrt.f64 x) 12)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 6)
(pow.f64 (sqrt.f64 x) 8)
(sqrt.f64 (pow.f64 x 8))
(log.f64 (exp.f64 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))
(cbrt.f64 (pow.f64 x 12))
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(exp.f64 (log.f64 (pow.f64 x 4)))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 4)) 1))
(exp.f64 (*.f64 (log.f64 x) 4))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 12)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 x))) 3))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(+.f64 0 (*.f64 1/21 (pow.f64 x 7)))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1)
(pow.f64 (.f64 1/441 (pow.f64 (.f64 x x) 7)) 1/2)
(pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) 2)
(sqrt.f64 (.f64 1/441 (pow.f64 (.f64 x x) 7)))
(log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 7)))))
(cbrt.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 7))))
(log1p.f64 (expm1.f64 (*.f64 1/21 (pow.f64 x 7))))
(exp.f64 (log.f64 (*.f64 1/21 (pow.f64 x 7))))
(exp.f64 (.f64 (log.f64 (.f64 1/21 (pow.f64 x 7))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/21 (pow.f64 x 7)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/21 (pow.f64 x 7)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/21) (pow.f64 x 7/2))) 2))

Outputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 (/.f64 1 x) -4)
(pow.f64 x 4)
(pow.f64 (/.f64 1 x) -4)
(pow.f64 x 4)
(pow.f64 (/.f64 1 x) -4)
(pow.f64 x 4)
(pow.f64 (/.f64 1 x) -4)
(pow.f64 x 4)
(pow.f64 (/.f64 -1 x) -4)
(pow.f64 x 4)
(pow.f64 (/.f64 -1 x) -4)
(pow.f64 x 4)
(pow.f64 (/.f64 -1 x) -4)
(pow.f64 x 4)
(pow.f64 (/.f64 -1 x) -4)
(pow.f64 x 4)
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 2/3 (.f64 x (*.f64 x (fabs.f64 x))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 2/3 (.f64 x (*.f64 x (fabs.f64 x))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 2/3 (.f64 x (*.f64 x (fabs.f64 x))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 2/3 (.f64 x (*.f64 x (fabs.f64 x))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) -2) (fabs.f64 x)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 2/3 (.f64 x (*.f64 x (fabs.f64 x))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) -2) (fabs.f64 x)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 2/3 (.f64 x (*.f64 x (fabs.f64 x))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) -2) (fabs.f64 x)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 2/3 (.f64 x (*.f64 x (fabs.f64 x))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) -2) (fabs.f64 x)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 2/3 (.f64 x (*.f64 x (fabs.f64 x))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -2)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 2/3 (.f64 x (*.f64 x (fabs.f64 x))))
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(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/21 (pow.f64 x 7)))) 1/3))
(.f64 1/21 (.f64 (fabs.f64 x) (pow.f64 x 6)))
(.f64 (fabs.f64 x) (.f64 (pow.f64 x 6) 1/21))
(.f64 x (.f64 1/21 (pow.f64 x 6)))
(*.f64 1/21 (pow.f64 x 7))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/21 (pow.f64 x 7)))) 3))
(.f64 1/21 (.f64 (fabs.f64 x) (pow.f64 x 6)))
(.f64 (fabs.f64 x) (.f64 (pow.f64 x 6) 1/21))
(.f64 x (.f64 1/21 (pow.f64 x 6)))
(*.f64 1/21 (pow.f64 x 7))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/21) (pow.f64 x 7/2))) 2))
(.f64 1/21 (.f64 (fabs.f64 x) (pow.f64 x 6)))
(.f64 (fabs.f64 x) (.f64 (pow.f64 x 6) 1/21))
(.f64 x (.f64 1/21 (pow.f64 x 6)))
(*.f64 1/21 (pow.f64 x 7))

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.2%)

Counts

3 → 32

Calls

9 calls:

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

Compiler

Compiled 520 to 431 computations (17.1% saved)

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

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

Outputs

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((#(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))))))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

724×	`fma-def_binary64`
482×	`unswap-sqr_binary64`
412×	`distribute-rgt-in_binary64`
400×	`distribute-lft-in_binary64`
286×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	2526
1	620	2446
2	1979	2350

Stop Event

1×	node limit

Counts

112 → 163

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7))
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 (/.f64 1 x) -2))
(+.f64 (*.f64 2/3 (pow.f64 (/.f64 1 x) -2)) 2)
(+.f64 (*.f64 2/3 (pow.f64 (/.f64 1 x) -2)) 2)
(+.f64 (*.f64 2/3 (pow.f64 (/.f64 1 x) -2)) 2)
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(+.f64 2 (*.f64 2/3 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 2 (*.f64 2/3 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 2 (*.f64 2/3 (pow.f64 (/.f64 -1 x) -2)))
(+.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))))
(+.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)))))))
(+.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)))))))
(-.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)
(.f64 (fma.f64 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))
(.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)
(.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))))
(.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))))
(.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)))))
(.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)))
(.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)))))
(.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)))
(.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)))))
(.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)))))
(.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))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) 1) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (*.f64 1/21 (pow.f64 x 7))))) (pow.f64 (PI.f64) 1/4)))
(pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))) 2)
(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)
(pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) 3) (pow.f64 (PI.f64) 3/2)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) 2) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))) 3))
(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)))
(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)))))
(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)))))
(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)))))
(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))
(+.f64 0 (*.f64 1/21 (pow.f64 x 7)))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1)
(pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 14) 1/441))
(log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 7)))))
(cbrt.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 7))))
(log1p.f64 (expm1.f64 (*.f64 1/21 (pow.f64 x 7))))
(exp.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -20/21)))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -20/21)) 1))
(+.f64 2 (.f64 2/3 (.f64 x x)))
(+.f64 (.f64 2/3 (.f64 x x)) 2)
(+.f64 0 (fma.f64 2/3 (*.f64 x x) 2))
(+.f64 (.f64 (.f64 2/3 (*.f64 x x)) 1) 2)
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (*.f64 x x) 2))) 1)
(.f64 (fma.f64 2/3 (.f64 x x) 2) 1)
(.f64 1 (fma.f64 2/3 (.f64 x x) 2))
(.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(.f64 (sqrt.f64 (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(/.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))))
(/.f64 (fma.f64 (.f64 2/3 (.f64 x x)) (.f64 2/3 (.f64 x x)) -4) (fma.f64 2/3 (*.f64 x x) -2))
(pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 1)
(pow.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(exp.f64 (log.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(exp.f64 (.f64 (log.f64 (fma.f64 2/3 (.f64 x x) 2)) 1))

Outputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) 2))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2/3 (pow.f64 x 3)) (sqrt.f64 (PI.f64))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2/3 (sqrt.f64 (PI.f64))) (pow.f64 x 3)))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 1/5 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 1/5 (sqrt.f64 (PI.f64))) (pow.f64 x 5))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (fma.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 1/21 (pow.f64 (/.f64 1 x) -7)) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))
(fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))
(fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 1/21 (pow.f64 (/.f64 1 x) -7)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 1/21 (pow.f64 (/.f64 1 x) -7)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (fma.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 1/5 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -5)))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7)))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))
(fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 -2/3 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -3)))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (/.f64 -1 x) -3) (/.f64 (sqrt.f64 (PI.f64)) -2/3))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 -2/3 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -3))))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (/.f64 -1 x) -3) (/.f64 (sqrt.f64 (PI.f64)) -2/3)))))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -2))
(.f64 x (.f64 x 2/3))
(+.f64 (*.f64 2/3 (pow.f64 (/.f64 1 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 (/.f64 1 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 (/.f64 1 x) -2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(.f64 (neg.f64 x) (.f64 x -2/3))
(+.f64 2 (*.f64 2/3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 2/3 (pow.f64 (/.f64 -1 x) -2) 2)
(fma.f64 (neg.f64 x) (*.f64 x -2/3) 2)
(+.f64 2 (*.f64 2/3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 2/3 (pow.f64 (/.f64 -1 x) -2) 2)
(fma.f64 (neg.f64 x) (*.f64 x -2/3) 2)
(+.f64 2 (*.f64 2/3 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 2/3 (pow.f64 (/.f64 -1 x) -2) 2)
(fma.f64 (neg.f64 x) (*.f64 x -2/3) 2)
(+.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))))
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
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(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7))))) 1) -1)
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (/.f64 (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)))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) 2) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))))
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))))
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))) 3))
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 2/3 (.f64 x x) 2) (.f64 1/21 (pow.f64 x 7)))) 3) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) 3) (pow.f64 (PI.f64) 3/2)))
(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)))))
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(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)))))
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(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)))))
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(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))
(/.f64 (fma.f64 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 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64)))
(+.f64 0 (*.f64 1/21 (pow.f64 x 7)))
(*.f64 1/21 (pow.f64 x 7))
(+.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)))))
(+.f64 (*.f64 2 (log.f64 (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)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))))
(+.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)))))
(*.f64 1/21 (pow.f64 x 7))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 7)))) 1)
(*.f64 1/21 (pow.f64 x 7))
(pow.f64 (*.f64 1/21 (pow.f64 x 7)) 1)
(*.f64 1/21 (pow.f64 x 7))
(pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3) 1/3)
(*.f64 1/21 (pow.f64 x 7))
(pow.f64 (cbrt.f64 (*.f64 1/21 (pow.f64 x 7))) 3)
(*.f64 1/21 (pow.f64 x 7))
(pow.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 7/2)) 2)
(*.f64 1/21 (pow.f64 x 7))
(sqrt.f64 (*.f64 (pow.f64 x 14) 1/441))
(fabs.f64 (*.f64 1/21 (pow.f64 x 7)))
(log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 7)))
(*.f64 1/21 (pow.f64 x 7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 7)))))
(*.f64 1/21 (pow.f64 x 7))
(cbrt.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 7)) 3))
(*.f64 1/21 (pow.f64 x 7))
(expm1.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 7))))
(*.f64 1/21 (pow.f64 x 7))
(log1p.f64 (expm1.f64 (*.f64 1/21 (pow.f64 x 7))))
(*.f64 1/21 (pow.f64 x 7))
(exp.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -20/21)))
(*.f64 (pow.f64 x 7) (exp.f64 (log1p.f64 -20/21)))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -20/21)) 1))
(exp.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -20/21)))
(*.f64 (pow.f64 x 7) (exp.f64 (log1p.f64 -20/21)))
(+.f64 2 (.f64 2/3 (.f64 x x)))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.f64 (.f64 2/3 (.f64 x x)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.f64 0 (fma.f64 2/3 (*.f64 x x) 2))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.f64 (.f64 (.f64 2/3 (*.f64 x x)) 1) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(+.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)))))
(+.f64 (.f64 2 (log.f64 (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)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 2/3) 2)))))
(+.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)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (.f64 x x) 2)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 2/3) 2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (*.f64 x x) 2))) 1)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(.f64 (fma.f64 2/3 (.f64 x x) 2) 1)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(.f64 1 (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(.f64 (sqrt.f64 (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(/.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))))
(/.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 2 (.f64 2/3 (*.f64 x x))))))
(/.f64 (fma.f64 8/27 (pow.f64 (.f64 x x) 3) 8) (+.f64 (-.f64 4 (.f64 (.f64 x x) 4/3)) (.f64 (.f64 (.f64 x x) (*.f64 x x)) 4/9)))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (+.f64 (fma.f64 (pow.f64 x 4) 4/9 4) (.f64 (.f64 x x) -4/3)))
(/.f64 (fma.f64 (.f64 2/3 (.f64 x x)) (.f64 2/3 (.f64 x x)) -4) (fma.f64 2/3 (*.f64 x x) -2))
(/.f64 (+.f64 -4 (.f64 (.f64 (.f64 x x) (.f64 x x)) 4/9)) (fma.f64 2/3 (*.f64 x x) -2))
(/.f64 (fma.f64 (pow.f64 x 4) 4/9 -4) (fma.f64 x (*.f64 x 2/3) -2))
(pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 1)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(pow.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3) 1/3)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 3)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(log.f64 (exp.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(cbrt.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(expm1.f64 (log1p.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(log1p.f64 (expm1.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(exp.f64 (log.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)
(exp.f64 (.f64 (log.f64 (fma.f64 2/3 (.f64 x x) 2)) 1))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 x (*.f64 x 2/3) 2)

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
✓	0.1b	(*.f64 1/21 (pow.f64 x 6))
✓	0.3b	(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 112 to 70 computations (37.5% saved)

series16.0ms (0.2%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
1.0ms	x	@	inf	(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
1.0ms	x	@	inf	(*.f64 1/21 (pow.f64 x 6))
1.0ms	x	@	-inf	(*.f64 1/21 (pow.f64 x 6))
1.0ms	x	@	0	(*.f64 1/21 (pow.f64 x 6))

Compiler

Compiled 350 to 305 computations (12.9% saved)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`log-prod_binary64`
317×	`pow2_binary64`
286×	`pow-prod-down_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	300	28
2	3475	28

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(*.f64 1/21 (pow.f64 x 6))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/21 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/21 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) 1/441) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/21)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/21)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 1/441))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/21 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/21 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/21 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/21 (pow.f64 x 6)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/21))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/21))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/21 (pow.f64 x 6)) (*.f64 1/5 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/5 (pow.f64 x 4)) (*.f64 1/21 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/5 (pow.f64 x 4)) 1) (*.f64 1/21 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 4)) 3) (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3)) (+.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 4)) 2) (-.f64 (*.f64 (pow.f64 x 12) 1/441) (*.f64 (*.f64 1/5 (pow.f64 x 4)) (*.f64 1/21 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 4)) 2) (*.f64 (pow.f64 x 12) 1/441)) (-.f64 (*.f64 1/5 (pow.f64 x 4)) (*.f64 1/21 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)) (exp.f64 (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6)))) (exp.f64 (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/5 (pow.f64 x 4))) (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 2))))))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

778×	`fma-def_binary64`
514×	`unswap-sqr_binary64`
430×	`distribute-rgt-in_binary64`
396×	`distribute-lft-in_binary64`
270×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	1455
1	609	1377
2	2018	1356

Stop Event

1×	node limit

Counts

116 → 129

Calls

Call 1

Inputs
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(*.f64 1/5 (pow.f64 x 4))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(+.f64 (.f64 1/5 (pow.f64 (/.f64 1 x) -4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6)))
(+.f64 (.f64 1/5 (pow.f64 (/.f64 1 x) -4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6)))
(+.f64 (.f64 1/5 (pow.f64 (/.f64 1 x) -4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6)))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(+.f64 (.f64 1/21 (pow.f64 (/.f64 -1 x) -6)) (.f64 1/5 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/21 (pow.f64 (/.f64 -1 x) -6)) (.f64 1/5 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/21 (pow.f64 (/.f64 -1 x) -6)) (.f64 1/5 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 0 (/.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 1)
(*.f64 x (pow.f64 (PI.f64) -1/2))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 1)
(*.f64 1 (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (.f64 x x) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (pow.f64 (PI.f64) -1/2)))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 (PI.f64) -1/2)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) -1/2) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 x (pow.f64 (PI.f64) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 x) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) -1/4) (/.f64 x (pow.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 (PI.f64) 1/4)))
(pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) 1)
(pow.f64 (/.f64 (*.f64 x x) (PI.f64)) 1/2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (PI.f64) 3/2)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (/.f64 (*.f64 x x) (PI.f64)))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) -1))
(+.f64 0 (*.f64 1/21 (pow.f64 x 6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 6)))) 1)
(pow.f64 (*.f64 1/21 (pow.f64 x 6)) 1)
(pow.f64 (*.f64 (pow.f64 x 12) 1/441) 1/2)
(pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3) 1/3)
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/21)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/21)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/441))
(log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6)))))
(cbrt.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 6))))
(log1p.f64 (expm1.f64 (*.f64 1/21 (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 1/21 (pow.f64 x 6))))
(exp.f64 (.f64 (log.f64 (.f64 1/21 (pow.f64 x 6))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/21 (pow.f64 x 6)))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (cbrt.f64 1/21))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/21))) 2))
(+.f64 (.f64 1/21 (pow.f64 x 6)) (.f64 1/5 (pow.f64 x 4)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(+.f64 0 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))
(+.f64 (.f64 (.f64 1/5 (pow.f64 x 4)) 1) (*.f64 1/21 (pow.f64 x 6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 3) (pow.f64 (.f64 1/21 (pow.f64 x 6)) 3)) (+.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/441) (.f64 (.f64 1/5 (pow.f64 x 4)) (*.f64 1/21 (pow.f64 x 6))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 2) (.f64 (pow.f64 x 12) 1/441)) (-.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))))
(pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 1)
(pow.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)) (exp.f64 (.f64 1/5 (pow.f64 x 4)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/21 (pow.f64 x 6)))) (exp.f64 (*.f64 1/5 (pow.f64 x 4)))))
(log.f64 (.f64 (exp.f64 (.f64 1/5 (pow.f64 x 4))) (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6))))))
(cbrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))))) 2))

Outputs
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(*.f64 1/5 (pow.f64 x 4))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(*.f64 1/21 (pow.f64 (/.f64 1 x) -6))
(+.f64 (.f64 1/5 (pow.f64 (/.f64 1 x) -4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6)))
(fma.f64 1/5 (pow.f64 (/.f64 1 x) -4) (*.f64 1/21 (pow.f64 (/.f64 1 x) -6)))
(fma.f64 1/21 (pow.f64 (/.f64 1 x) -6) (*.f64 1/5 (pow.f64 x 4)))
(+.f64 (.f64 1/5 (pow.f64 (/.f64 1 x) -4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6)))
(fma.f64 1/5 (pow.f64 (/.f64 1 x) -4) (*.f64 1/21 (pow.f64 (/.f64 1 x) -6)))
(fma.f64 1/21 (pow.f64 (/.f64 1 x) -6) (*.f64 1/5 (pow.f64 x 4)))
(+.f64 (.f64 1/5 (pow.f64 (/.f64 1 x) -4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6)))
(fma.f64 1/5 (pow.f64 (/.f64 1 x) -4) (*.f64 1/21 (pow.f64 (/.f64 1 x) -6)))
(fma.f64 1/21 (pow.f64 (/.f64 1 x) -6) (*.f64 1/5 (pow.f64 x 4)))
(*.f64 1/21 (pow.f64 (/.f64 -1 x) -6))
(+.f64 (.f64 1/21 (pow.f64 (/.f64 -1 x) -6)) (.f64 1/5 (pow.f64 (/.f64 -1 x) -4)))
(fma.f64 1/21 (pow.f64 (/.f64 -1 x) -6) (*.f64 1/5 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/21 (pow.f64 (/.f64 -1 x) -6)) (.f64 1/5 (pow.f64 (/.f64 -1 x) -4)))
(fma.f64 1/21 (pow.f64 (/.f64 -1 x) -6) (*.f64 1/5 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/21 (pow.f64 (/.f64 -1 x) -6)) (.f64 1/5 (pow.f64 (/.f64 -1 x) -4)))
(fma.f64 1/21 (pow.f64 (/.f64 -1 x) -6) (*.f64 1/5 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 0 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 1)
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 x (pow.f64 (PI.f64) -1/2))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 1)
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 1 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (.f64 x x) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 x (/.f64 (PI.f64) x))))
(.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (/.f64 x (PI.f64)) x)))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 x (/.f64 (PI.f64) x))))
(.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (/.f64 x (PI.f64)) x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (pow.f64 (PI.f64) -1/2)))
(*.f64 x (pow.f64 (PI.f64) -1/2))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 (PI.f64) -1/2)))
(*.f64 x (pow.f64 (PI.f64) -1/2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) -1/2) x)
(*.f64 x (pow.f64 (PI.f64) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 x (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 x (pow.f64 (PI.f64) 1/6)))
(/.f64 (/.f64 x (pow.f64 (PI.f64) 1/6)) (cbrt.f64 (PI.f64)))
(/.f64 x (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 x) (pow.f64 (PI.f64) 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 x (pow.f64 (PI.f64) 1/6)))
(/.f64 (/.f64 x (pow.f64 (PI.f64) 1/6)) (cbrt.f64 (PI.f64)))
(/.f64 x (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) -1/4) (/.f64 x (pow.f64 (PI.f64) 1/4)))
(/.f64 (pow.f64 (PI.f64) -1/4) (/.f64 (pow.f64 (PI.f64) 1/4) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 x (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(/.f64 x (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4)))
(pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) 1)
(/.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (*.f64 x x) (PI.f64)) 1/2)
(sqrt.f64 (/.f64 x (/.f64 (PI.f64) x)))
(sqrt.f64 (*.f64 (/.f64 x (PI.f64)) x))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) 3) 1/3)
(/.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) 3)
(/.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64)))) 2)
(/.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) -1)
(/.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (PI.f64) 3/2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (PI.f64) 3/2)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1) -1)
(/.f64 x (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(sqrt.f64 (/.f64 (*.f64 x x) (PI.f64)))
(sqrt.f64 (/.f64 x (/.f64 (PI.f64) x)))
(sqrt.f64 (*.f64 (/.f64 x (PI.f64)) x))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 x (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) 3))
(/.f64 x (sqrt.f64 (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))) 1))
(/.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 1/3))
(/.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 3))
(/.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (PI.f64))))) 2))
(/.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) -1))
(/.f64 x (sqrt.f64 (PI.f64)))
(+.f64 0 (*.f64 1/21 (pow.f64 x 6)))
(*.f64 1/21 (pow.f64 x 6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))
(*.f64 1/21 (pow.f64 x 6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 6)))) 1)
(*.f64 1/21 (pow.f64 x 6))
(pow.f64 (*.f64 1/21 (pow.f64 x 6)) 1)
(*.f64 1/21 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x 12) 1/441) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/441))
(pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3) 1/3)
(*.f64 1/21 (pow.f64 x 6))
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/21)) 3)
(*.f64 1/21 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/21)) 2)
(*.f64 1/21 (pow.f64 x 6))
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/441))
(log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))
(*.f64 1/21 (pow.f64 x 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6)))))
(*.f64 1/21 (pow.f64 x 6))
(cbrt.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3))
(*.f64 1/21 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 6))))
(*.f64 1/21 (pow.f64 x 6))
(log1p.f64 (expm1.f64 (*.f64 1/21 (pow.f64 x 6))))
(*.f64 1/21 (pow.f64 x 6))
(exp.f64 (log.f64 (*.f64 1/21 (pow.f64 x 6))))
(*.f64 1/21 (pow.f64 x 6))
(exp.f64 (.f64 (log.f64 (.f64 1/21 (pow.f64 x 6))) 1))
(*.f64 1/21 (pow.f64 x 6))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/21 (pow.f64 x 6)))) 1/3))
(*.f64 1/21 (pow.f64 x 6))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (cbrt.f64 1/21))) 3))
(*.f64 1/21 (pow.f64 x 6))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/21))) 2))
(*.f64 1/21 (pow.f64 x 6))
(+.f64 (.f64 1/21 (pow.f64 x 6)) (.f64 1/5 (pow.f64 x 4)))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(+.f64 0 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 1/5 (pow.f64 x 4)) 1) (*.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 1)
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))) 1)
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(.f64 1 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 3) (pow.f64 (.f64 1/21 (pow.f64 x 6)) 3)) (+.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/441) (.f64 (.f64 1/5 (pow.f64 x 4)) (*.f64 1/21 (pow.f64 x 6))))))
(/.f64 (+.f64 (.f64 1/9261 (pow.f64 (pow.f64 x 6) 3)) (.f64 1/125 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 2) (-.f64 (.f64 (pow.f64 x 12) 1/441) (.f64 (.f64 1/5 (pow.f64 x 4)) (*.f64 1/21 (pow.f64 x 6))))))
(/.f64 (fma.f64 1/125 (pow.f64 x 12) (.f64 1/9261 (pow.f64 (pow.f64 x 6) 3))) (+.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 2) (fma.f64 (pow.f64 x 12) 1/441 (.f64 (.f64 (pow.f64 x 4) 1/105) (neg.f64 (pow.f64 x 6))))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/125 (.f64 1/9261 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 (pow.f64 x 12) 1/441 (fma.f64 (.f64 (pow.f64 x 4) -1/105) (pow.f64 x 6) (*.f64 (pow.f64 x 8) 1/25))))
(/.f64 (-.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 2) (.f64 (pow.f64 x 12) 1/441)) (-.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 2) (.f64 (pow.f64 x 12) 1/441)) (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 -1/21 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 (.f64 1/5 (pow.f64 x 4)) 2) (.f64 (pow.f64 x 12) -1/441)) (fma.f64 1/5 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/21)))
(/.f64 (fma.f64 (pow.f64 x 12) -1/441 (.f64 (pow.f64 x 8) 1/25)) (fma.f64 1/5 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/21)))
(pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 1)
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 2) 1/2)
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 3) 1/3)
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 3)
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2)
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 2))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(log.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(log.f64 (.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)) (exp.f64 (.f64 1/5 (pow.f64 x 4)))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/21 (pow.f64 x 6)))) (exp.f64 (*.f64 1/5 (pow.f64 x 4)))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(log.f64 (.f64 (exp.f64 (.f64 1/5 (pow.f64 x 4))) (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6))))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 3))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(exp.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4)))) 1))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 1/3))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))))) 3))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (.f64 1/5 (pow.f64 x 4))))) 2))
(fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
	0.1b	(*.f64 1/21 (pow.f64 x 6))
✓	0.3b	(/.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)))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 125 to 84 computations (32.8% saved)

series8.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

(/.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)))))

2.0ms

-inf

(/.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)))))

2.0ms

inf

(/.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)))))

Compiler

Compiled 344 to 296 computations (14% saved)

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`prod-diff_binary64`
328×	`expm1-udef_binary64`
328×	`log1p-udef_binary64`
223×	`add-sqr-sqrt_binary64`
213×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	35
1	460	33
2	5801	33

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(/.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)))))

Outputs

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

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

479×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`
397×	`associate-/l*_binary64`
338×	`fma-neg_binary64`
223×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	2242
1	378	2042
2	1432	1914
3	7837	1914

Stop Event

1×	node limit

Counts

55 → 59

Calls

Call 1

Inputs
(/.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 (pow.f64 x 2) 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 (pow.f64 x 2) 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 (pow.f64 x 2) 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 (pow.f64 x 2) 2)))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 -1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 -1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 -1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 -1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))) 1)
(.f64 x (/.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)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))) 1)
(.f64 1 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.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)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) (sqrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.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)) (sqrt.f64 (PI.f64)))))
(.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.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)))))
(.f64 (/.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)) (sqrt.f64 (PI.f64))) x)
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.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)))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) (pow.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)) 2)))) (/.f64 x (cbrt.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))))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (PI.f64) (pow.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)) 2)))) (/.f64 (sqrt.f64 x) (cbrt.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))))))
(.f64 (/.f64 1 (sqrt.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))))) (/.f64 x (sqrt.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))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.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))))) (/.f64 (cbrt.f64 x) (sqrt.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))))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 x (/.f64 1 (+.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 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 x) (/.f64 1 (+.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 (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 x) (/.f64 1 (+.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 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.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)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (PI.f64) (pow.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)) 2)))) (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(.f64 (/.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 (/.f64 x 1) (/.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)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 x (neg.f64 (sqrt.f64 (PI.f64)))) (neg.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))))
(pow.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))) 1)
(pow.f64 (pow.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) 3)
(pow.f64 (sqrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (+.f64 (fma.f64 1/5 (pow.f64 x 4) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2)))) -1)
(neg.f64 (/.f64 x (/.f64 (neg.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)))))
(sqrt.f64 (pow.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))) 2))
(fabs.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (neg.f64 x) (/.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 (neg.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(fabs.f64 (/.f64 x (/.f64 (neg.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)))))
(log.f64 (pow.f64 (exp.f64 x) (/.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)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.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))) 3)))
(expm1.f64 (log1p.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) 1))

Outputs
(/.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 (pow.f64 x 2) 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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(/.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 (pow.f64 x 2) 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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(/.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 (pow.f64 x 2) 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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(/.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 (pow.f64 x 2) 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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 -1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.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 1 (pow.f64 (/.f64 -1 x) 2)) 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))) (+.f64 2 (/.f64 2/3 (pow.f64 (/.f64 -1 x) 2)))))))
(/.f64 x (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 (/.f64 (neg.f64 x) -1) x) 2))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 -1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.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 1 (pow.f64 (/.f64 -1 x) 2)) 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))) (+.f64 2 (/.f64 2/3 (pow.f64 (/.f64 -1 x) 2)))))))
(/.f64 x (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 (/.f64 (neg.f64 x) -1) x) 2))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 -1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.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 1 (pow.f64 (/.f64 -1 x) 2)) 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))) (+.f64 2 (/.f64 2/3 (pow.f64 (/.f64 -1 x) 2)))))))
(/.f64 x (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 (/.f64 (neg.f64 x) -1) x) 2))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 2/3 (/.f64 1 (pow.f64 (/.f64 -1 x) 2)) 2) (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))))))
(/.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 1 (pow.f64 (/.f64 -1 x) 2)) 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))) (+.f64 2 (/.f64 2/3 (pow.f64 (/.f64 -1 x) 2)))))))
(/.f64 x (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 (/.f64 (neg.f64 x) -1) x) 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))) 1)
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 x (/.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)) (sqrt.f64 (PI.f64))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))) 1)
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 1 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) 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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.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)) (sqrt.f64 (PI.f64)))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) (sqrt.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.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)) (sqrt.f64 (PI.f64)))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
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(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 x (/.f64 (neg.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)))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))) 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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (neg.f64 x) (/.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)))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(fabs.f64 (neg.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 x (/.f64 (neg.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)))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 x) (/.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)) (sqrt.f64 (PI.f64)))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))) 3))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.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))) 3)))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64))))) 1))
(/.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)))))
(.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 x (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 x (sqrt.f64 (PI.f64))))

localize68.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 184 to 94 computations (48.9% saved)

series15.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.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)))
3.0ms	x	@	-inf	(/.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)))
3.0ms	x	@	0	(/.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)))
1.0ms	x	@	-inf	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
1.0ms	x	@	inf	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))

Compiler

Compiled 832 to 573 computations (31.1% saved)

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log-prod_binary64`
308×	`expm1-udef_binary64`
308×	`log1p-udef_binary64`
274×	`prod-diff_binary64`
255×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	84
1	404	51
2	4751	51

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

(/.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)))

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

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

Outputs

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

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

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

598×	`unswap-sqr_binary64`
567×	`fma-def_binary64`
428×	`associate-/l*_binary64`
337×	`distribute-rgt-in_binary64`
331×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	2950
1	616	2536
2	2048	2158

Stop Event

1×	node limit

Counts

106 → 142

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (fabs.f64 x) 2) (fabs.f64 x))) (*.f64 2 (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 1/5 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 x 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1/5 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 x 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/21 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 x 4))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (.f64 2/3 (/.f64 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (PI.f64)))))))
(+.f64 (.f64 1/5 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 x 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/21 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 x 4))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (.f64 2/3 (/.f64 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (PI.f64)))))))
(.f64 1/21 (/.f64 (.f64 (fabs.f64 x) (*.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) -4))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/5 (/.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (.f64 (pow.f64 (fabs.f64 x) 2) (fabs.f64 x))) (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) -4))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/5 (/.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (.f64 (pow.f64 (fabs.f64 x) 2) (fabs.f64 x))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/21 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) -4))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (fabs.f64 x)) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
(+.f64 (.f64 1/5 (/.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (.f64 (pow.f64 (fabs.f64 x) 2) (fabs.f64 x))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/21 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) -4))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (fabs.f64 x)) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
(.f64 1/21 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (*.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -4))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/21 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -4))) (sqrt.f64 (PI.f64)))) (.f64 1/5 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 -1 x) -2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/21 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -4))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 -1 x) -2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (fabs.f64 x)) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
(+.f64 (.f64 1/21 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -4))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 -1 x) -2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (fabs.f64 x)) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)))
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 x 4)))
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 x 4)))
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 x 4)))
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 x 4)))
(.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) -4)))
(.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) -4)))
(.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) -4)))
(.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) -4)))
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -4)))
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -4)))
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -4)))
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (pow.f64 (/.f64 -1 x) -4)))
(+.f64 0 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64))))) 1)
(.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (pow.f64 (PI.f64) -1/2))
(.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64))) 1)
(.f64 1 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) 2) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) 2) (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) 2) (.f64 (cbrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) (pow.f64 (PI.f64) -1/2)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) (.f64 (sqrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) (pow.f64 (PI.f64) -1/2)))
(.f64 (neg.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) 1) (/.f64 (sqrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (pow.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2))))) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))))) (pow.f64 (PI.f64) 1/4)))
(pow.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64))) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))))) -1)
(neg.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) 2) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) 3) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 1/21 (.f64 x (pow.f64 x 6)) (fma.f64 (.f64 x (pow.f64 x 4)) 1/5 (fma.f64 (pow.f64 x 3) 2/3 (.f64 x 2)))) (sqrt.f64 (PI.f64)))) 1))
(+.f64 0 (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 2/3) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 2/3) 3) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 4/9 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 2/3))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 2/3)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 2/3)) 1))
(+.f64 0 (*.f64 x (pow.f64 x 6)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 x 6))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 x 6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 x 6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 x 6)))) 1)
(pow.f64 (*.f64 x (pow.f64 x 6)) 1)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 x 6)) 3) 1/3)
(pow.f64 (.f64 (cbrt.f64 x) (.f64 x x)) 3)
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 3)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 x 6)) 2))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 x 6)))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 x 6)) 3))
(cbrt.f64 (.f64 (pow.f64 x 6) (pow.f64 (.f64 x (pow.f64 x 4)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (pow.f64 x 4)) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 x 6))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 x 6))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 x 6))) 1))

Outputs
(/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (fabs.f64 x) 2) (fabs.f64 x))) (*.f64 2 (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) 2)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (fabs.f64 x) (+.f64 2 (.f64 2/3 (*.f64 x x)))) (sqrt.f64 (PI.f64)))
(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))
(+.f64 (.f64 1/5 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 x 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (PI.f64))))))
(fma.f64 1/5 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 2/3 (/.f64 (pow.f64 (fabs.f64 x) 3) (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))
(fma.f64 1/5 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (pow.f64 x 4)) (fma.f64 2/3 (/.f64 (pow.f64 (fabs.f64 x) 3) (sqrt.f64 (PI.f64))) (.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 1/5 (sqrt.f64 (PI.f64))) (pow.f64 x 5))))
(+.f64 (.f64 1/5 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 x 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/21 (/.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 x 4))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (.f64 2/3 (/.f64 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (PI.f64)))))))
(fma.f64 1/5 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 1/21 (/.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 x 4)) (sqrt.f64 (PI.f64))) (fma.f64 2/3 (/.f64 (pow.f64 (fabs.f64 x) 3) (sqrt.f64 (PI.f64))) (.f64 2 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))))
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(cbrt.f64 (.f64 (pow.f64 (.f64 x (pow.f64 x 4)) 3) (pow.f64 x 6)))
(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 x 4))
(*.f64 (fabs.f64 x) (pow.f64 x 6))
(pow.f64 x 7)
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 x 6))))
(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 x 4))
(*.f64 (fabs.f64 x) (pow.f64 x 6))
(pow.f64 x 7)
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 x 6))))
(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 x 4))
(*.f64 (fabs.f64 x) (pow.f64 x 6))
(pow.f64 x 7)
(exp.f64 (log.f64 (*.f64 x (pow.f64 x 6))))
(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 x 4))
(*.f64 (fabs.f64 x) (pow.f64 x 6))
(pow.f64 x 7)
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 x 6))) 1))
(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 x 4))
(*.f64 (fabs.f64 x) (pow.f64 x 6))
(pow.f64 x 7)

eval513.0ms (6%)

Compiler: Compiled 28575 to 16789 computations (41.2% saved)

prune211.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	839	10	849
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	844	10	854

Error

Counts

854 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(.f64 (/.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)) (sqrt.f64 (PI.f64))) x)
	53.6b	(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x (.f64 x (.f64 x 2/3)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
▶	0.7b	(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))))
▶	7.1b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	54.2b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 (/.f64 1 x) -7)) (sqrt.f64 (PI.f64))))
	0.5b	(fabs.f64 (/.f64 (neg.f64 x) (/.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)))))
▶	7.0b	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
▶	54.2b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7))))
▶	0.1b	(fabs.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))
	54.1b	(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))

Compiler

Compiled 334 to 274 computations (18% saved)

localize59.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
	0.1b	(*.f64 1/21 (pow.f64 x 6))
✓	0.1b	(.f64 x (/.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)) (sqrt.f64 (PI.f64))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 123 to 83 computations (32.5% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

Compiler

Compiled 306 to 240 computations (21.6% saved)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`prod-diff_binary64`
320×	`expm1-udef_binary64`
320×	`log1p-udef_binary64`
301×	`fma-def_binary64`
264×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	33
1	409	33
2	4870	31

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

567×	`log-prod_binary64`
442×	`associate-l_binary64`
424×	`associate-r_binary64`
248×	`div-sub_binary64`
237×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1178
1	335	1178
2	1037	1178
3	5610	1178

Stop Event

1×	node limit

Counts

36 → 66

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))))) 1)
(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2)))))
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))))
(/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) 1) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(/.f64 (.f64 (neg.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) x) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 1)
(pow.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 1))

Outputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2/3 (pow.f64 x 3)) (sqrt.f64 (PI.f64))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2/3 (sqrt.f64 (PI.f64))) (pow.f64 x 3)))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 x 3) (/.f64 2/3 (sqrt.f64 (PI.f64)))))
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(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 1))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))

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)

series6.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 96 to 84 computations (12.5% saved)

rewrite47.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

389×	`associate-/l*_binary64`
365×	`log-div_binary64`
363×	`associate-*l/_binary64`
333×	`log-prod_binary64`
299×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	662
1	274	662
2	950	662
3	4417	634

Stop Event

1×	node limit

Counts

53 → 54

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 1)
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 2 (.f64 x (pow.f64 (PI.f64) -1/2)))
(.f64 x (.f64 2 (pow.f64 (PI.f64) -1/2)))
(.f64 (.f64 2 x) (pow.f64 (PI.f64) -1/2))
(.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(.f64 1 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 2) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 2 x) 2) (PI.f64))) (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (.f64 (cbrt.f64 (.f64 2 x)) (pow.f64 (PI.f64) -1/2)))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 x)) (.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (PI.f64) -1/2)))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 2 x))
(*.f64 (/.f64 x 1) (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 2 (cbrt.f64 (PI.f64))) (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 x (cbrt.f64 (PI.f64))) (/.f64 2 (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (.f64 2 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 2 (pow.f64 (PI.f64) 1/4)) (/.f64 x (pow.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 x (pow.f64 (PI.f64) 1/4)) (/.f64 2 (pow.f64 (PI.f64) 1/4)))
(.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (.f64 2 x) (pow.f64 (PI.f64) 1/4)))
(.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)))
(pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 2 x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 2) (PI.f64)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))

Outputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 1)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 2 (.f64 x (pow.f64 (PI.f64) -1/2)))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 2 x))
(.f64 x (.f64 2 (pow.f64 (PI.f64) -1/2)))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 2 x))
(.f64 2 (.f64 x (pow.f64 (PI.f64) -1/2)))
(.f64 (.f64 2 x) (pow.f64 (PI.f64) -1/2))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 2 x))
(.f64 2 (.f64 x (pow.f64 (PI.f64) -1/2)))
(.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 1 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 2) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 2) (PI.f64))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (.f64 (.f64 x x) 4) (PI.f64))))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (.f64 (.f64 x x) 4) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 2 x) 2) (PI.f64))) (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 2) (PI.f64))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (.f64 (.f64 x x) 4) (PI.f64))))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (.f64 (.f64 x x) 4) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (.f64 (cbrt.f64 (.f64 2 x)) (pow.f64 (PI.f64) -1/2)))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 2 x))
(.f64 2 (.f64 x (pow.f64 (PI.f64) -1/2)))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 2 x)) (.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (PI.f64) -1/2)))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 2 x))
(.f64 2 (.f64 x (pow.f64 (PI.f64) -1/2)))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 2 x))
(.f64 2 (.f64 x (pow.f64 (PI.f64) -1/2)))
(*.f64 (/.f64 x 1) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 2 (cbrt.f64 (PI.f64))) (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 2 (*.f64 (/.f64 (cbrt.f64 (PI.f64)) x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 x (cbrt.f64 (PI.f64))) (/.f64 2 (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 2 (cbrt.f64 (PI.f64))) (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 2 (*.f64 (/.f64 (cbrt.f64 (PI.f64)) x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (.f64 2 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 2 (cbrt.f64 (PI.f64))) (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 2 (*.f64 (/.f64 (cbrt.f64 (PI.f64)) x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 x) (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 2 (cbrt.f64 (PI.f64))) (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 2 (*.f64 (/.f64 (cbrt.f64 (PI.f64)) x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 2 (pow.f64 (PI.f64) 1/4)) (/.f64 x (pow.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 2 x) (pow.f64 (PI.f64) 1/2))
(*.f64 (/.f64 x (pow.f64 (PI.f64) 1/4)) (/.f64 2 (pow.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 2 (pow.f64 (PI.f64) 1/4)) (/.f64 x (pow.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 2 x) (pow.f64 (PI.f64) 1/2))
(.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (.f64 2 x) (pow.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 2 (pow.f64 (PI.f64) 1/4)) (/.f64 x (pow.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 2 x) (pow.f64 (PI.f64) 1/2))
(.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)))
(*.f64 (/.f64 2 (pow.f64 (PI.f64) 1/4)) (/.f64 x (pow.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 2 x) (pow.f64 (PI.f64) 1/2))
(pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 3)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 2)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 2 x)) -1)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 2) (PI.f64)))
(sqrt.f64 (/.f64 (.f64 (.f64 x x) 4) (PI.f64)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (/.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (*.f64 (/.f64 8 (pow.f64 (PI.f64) 3/2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 32 computations (28.9% saved)

series28.0ms (0.3%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7)))
4.0ms	x	@	-inf	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7))
4.0ms	x	@	inf	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7))
4.0ms	x	@	0	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7))
2.0ms	x	@	inf	(pow.f64 (/.f64 -1 x) -7)

Compiler

Compiled 1252 to 1132 computations (9.6% saved)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
405×	`exp-prod_binary64`
293×	`pow2_binary64`
259×	`pow-prod-down_binary64`
202×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	242	36
2	2960	33

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

576×	`unswap-sqr_binary64`
474×	`associate-/r*_binary64`
458×	`times-frac_binary64`
457×	`fma-def_binary64`
374×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	2243
1	663	2144
2	2160	2089

Stop Event

1×	node limit

Counts

146 → 158

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 0 (pow.f64 (neg.f64 x) 7))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7))) 1)
(*.f64 -1 (pow.f64 x 7))
(*.f64 (pow.f64 (neg.f64 x) 7) 1)
(*.f64 1 (pow.f64 (neg.f64 x) 7))
(*.f64 (pow.f64 (pow.f64 x -2) -7/6) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 14)) (pow.f64 (pow.f64 x -2) -7/6))
(*.f64 (pow.f64 (neg.f64 x) 7/2) (pow.f64 (neg.f64 x) 7/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -7) (pow.f64 (pow.f64 x -2) -7/6))
(sqrt.f64 (pow.f64 (neg.f64 x) 14))
(log.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (neg.f64 x) 7))))
(cbrt.f64 (pow.f64 (/.f64 -1 x) -21))
(expm1.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7)))
(log1p.f64 (expm1.f64 (pow.f64 (neg.f64 x) 7)))
(exp.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -1 x) -21)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) -7/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 x -2) -7/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 x) 7/2)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) -7/2) 2))
(+.f64 0 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 1)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) -7)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) -7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 (neg.f64 x) 7))))
(*.f64 (pow.f64 (neg.f64 x) -7) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 x -2) -7/6) -2) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 x -2) -7/6)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (pow.f64 x -2) -7/6)))
(*.f64 (pow.f64 (/.f64 -1 x) 7/2) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7/2)))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 1)
(pow.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 3)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) 2)
(pow.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (neg.f64 x) 7))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 1) 1))
(+.f64 0 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) 1)
(*.f64 (pow.f64 (neg.f64 x) 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 1)
(*.f64 1 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(*.f64 (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) (cbrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(*.f64 (cbrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(*.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(*.f64 1/21 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(*.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) -1/21)
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 x) 7))
(*.f64 (/.f64 -1/21 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (pow.f64 (neg.f64 x) 7)))
(.f64 (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1) (pow.f64 (neg.f64 x) 7))
(.f64 (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (pow.f64 (pow.f64 x -2) -7/6))
(.f64 (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 x) 7/2)) (pow.f64 (neg.f64 x) 7/2))
(pow.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 1)
(pow.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 1/2)
(pow.f64 (pow.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 2)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) -21) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) -21) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))) (sqrt.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))))
(sqrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(log.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))))
(cbrt.f64 (pow.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(log1p.f64 (expm1.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(exp.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) -21)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 1) 1))

Outputs
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(+.f64 0 (pow.f64 (neg.f64 x) 7))
(pow.f64 (neg.f64 x) 7)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7))) 1)
(pow.f64 (neg.f64 x) 7)
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 (pow.f64 (neg.f64 x) 7) 1)
(pow.f64 (neg.f64 x) 7)
(*.f64 1 (pow.f64 (neg.f64 x) 7))
(pow.f64 (neg.f64 x) 7)
(*.f64 (pow.f64 (pow.f64 x -2) -7/6) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 14)) (pow.f64 (pow.f64 x -2) -7/6))
(*.f64 (pow.f64 (pow.f64 x -2) -7/6) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(*.f64 (pow.f64 (neg.f64 x) 7/2) (pow.f64 (neg.f64 x) 7/2))
(pow.f64 (neg.f64 x) 7)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -7) (pow.f64 (pow.f64 x -2) -7/6))
(*.f64 (pow.f64 (pow.f64 x -2) -7/6) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -7))
(sqrt.f64 (pow.f64 (neg.f64 x) 14))
(pow.f64 (neg.f64 x) 7)
(log.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))
(pow.f64 (neg.f64 x) 7)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (neg.f64 x) 7))))
(pow.f64 (neg.f64 x) 7)
(cbrt.f64 (pow.f64 (/.f64 -1 x) -21))
(pow.f64 (/.f64 -1 x) -7)
(expm1.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7)))
(pow.f64 (neg.f64 x) 7)
(log1p.f64 (expm1.f64 (pow.f64 (neg.f64 x) 7)))
(pow.f64 (neg.f64 x) 7)
(exp.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))
(pow.f64 (neg.f64 x) 7)
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 1))
(pow.f64 (neg.f64 x) 7)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -1 x) -21)) 1/3))
(cbrt.f64 (pow.f64 (/.f64 -1 x) -21))
(pow.f64 (/.f64 -1 x) -7)
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) -7/2))
(pow.f64 (pow.f64 x -2) -7/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 x -2) -7/6)) 3))
(pow.f64 (pow.f64 x -2) -7/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 x) 7/2)) 2))
(pow.f64 (neg.f64 x) 7)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7))
(cbrt.f64 (pow.f64 (/.f64 -1 x) -21))
(pow.f64 (/.f64 -1 x) -7)
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 1) 1))
(pow.f64 (neg.f64 x) 7)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) -7/2) 2))
(cbrt.f64 (pow.f64 (/.f64 -1 x) -21))
(pow.f64 (/.f64 -1 x) -7)
(+.f64 0 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 1)
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
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(sqrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(sqrt.f64 (*.f64 (/.f64 1/441 (PI.f64)) (pow.f64 (neg.f64 x) 14)))
(sqrt.f64 (*.f64 (pow.f64 (neg.f64 x) 14) (/.f64 1/441 (PI.f64))))
(log.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(cbrt.f64 (pow.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 3))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(expm1.f64 (log1p.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(log1p.f64 (expm1.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(exp.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 1))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) 1/3))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) 3))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))) 2))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) -21)) -1))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 1) 1))
(/.f64 -1/21 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 24 computations (50% saved)

series20.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
7.0ms	x	@	inf	(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
2.0ms	x	@	0	(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
1.0ms	x	@	0	(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))
1.0ms	x	@	inf	(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))

Compiler

Compiled 1931 to 1536 computations (20.5% saved)

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
397×	`exp-prod_binary64`
273×	`pow-prod-down_binary64`
264×	`pow2_binary64`
184×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	214	31
2	2764	31

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

951×	`fma-def_binary64`
507×	`unswap-sqr_binary64`
474×	`distribute-rgt-in_binary64`
247×	`log-prod_binary64`
194×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	3349
1	904	2958
2	2826	2915

Stop Event

1×	node limit

Counts

140 → 220

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(*.f64 1/2 (sqrt.f64 (PI.f64)))
(+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2))))
(+.f64 (.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2)))))
(+.f64 (.f64 -1/54 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 6))) (+.f64 (.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2))))))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2))))
(+.f64 (.f64 27/2 (.f64 (pow.f64 (/.f64 1 x) 6) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (.f64 -81/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 8))) (+.f64 (.f64 27/2 (.f64 (pow.f64 (/.f64 1 x) 6) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2))))))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2))))
(+.f64 (.f64 27/2 (.f64 (pow.f64 (/.f64 -1 x) 6) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))))
(+.f64 (.f64 27/2 (.f64 (pow.f64 (/.f64 -1 x) 6) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 4))) (+.f64 (.f64 -81/2 (.f64 (pow.f64 (/.f64 -1 x) 8) (sqrt.f64 (PI.f64)))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2))))))
(+.f64 0 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 2/3 (.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 2/3 (.f64 x x))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2/3 (.f64 x x) 2)) (/.f64 x (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2/3 (.f64 x x) 2)) (/.f64 x (sqrt.f64 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 2/3 (.f64 x x) 2)) (/.f64 x (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 2/3 (.f64 x x) 2)) (/.f64 x (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))) 1)
(.f64 x (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 (.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(.f64 1 (.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 2)) (cbrt.f64 (.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64))) x)
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 2/3 (.f64 x x) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 (pow.f64 (PI.f64) -1/2) (/.f64 x (/.f64 1 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) -2) (/.f64 x (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (.f64 x x) 2) 2)))) (cbrt.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (.f64 x x) 2) 2)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)) -1/2) (/.f64 x (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))))
(.f64 (/.f64 x 1) (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 x (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 1) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) 2)) (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (sqrt.f64 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (fma.f64 2/3 (.f64 x x) 2)))
(pow.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(pow.f64 (pow.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))) 3)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (fma.f64 2/3 (.f64 x x) 2))) -1)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (fma.f64 2/3 (.f64 x x) 2))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))))
(neg.f64 (/.f64 x (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 2/3 (*.f64 x x) 2))))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2/3 (*.f64 x x) 2)) (/.f64 x (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64)))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (fma.f64 2/3 (*.f64 x x) 2)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 2/3 (.f64 x x) 2) (/.f64 x (sqrt.f64 (PI.f64))))) 1) 1))
(exp.f64 (-.f64 (.f64 (log.f64 x) 1) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))))
(exp.f64 (-.f64 (log.f64 x) (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))) 1)))
(fma.f64 (.f64 2/3 (.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 2/3 (.f64 x x)) (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2))
(+.f64 0 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))) 1)
(.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)) 1)
(.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (.f64 x x) 2) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) (/.f64 1 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (/.f64 1 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 (/.f64 1 (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) -2) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) 2)) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (pow.f64 (fma.f64 2/3 (.f64 x x) 2) -1/2) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 2/3 (.f64 x x) 2))) (/.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)) 1)
(pow.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))) 2)
(pow.f64 (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))) 1) 1))
(exp.f64 (-.f64 (.f64 (log.f64 (PI.f64)) 1/2) (log.f64 (fma.f64 2/3 (.f64 x x) 2))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (log.f64 (fma.f64 2/3 (.f64 x x) 2))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (PI.f64))) (.f64 (log.f64 (fma.f64 2/3 (.f64 x x) 2)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (PI.f64)) 1/2) (.f64 (log.f64 (fma.f64 2/3 (*.f64 x x) 2)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (.f64 (log.f64 (fma.f64 2/3 (*.f64 x x) 2)) 1)))

Outputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(.f64 x (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64))))
(.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(.f64 x (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64))))
(.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(.f64 x (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64))))
(.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2/3 (pow.f64 (/.f64 1 x) -3)) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2/3 (pow.f64 (/.f64 1 x) -3)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2/3 (pow.f64 (/.f64 1 x) -3)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2/3 (pow.f64 (/.f64 1 x) -3)) (sqrt.f64 (PI.f64))))
(*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(*.f64 1/2 (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) 1/2)
(+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2))))
(fma.f64 1/2 (sqrt.f64 (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))
(fma.f64 (sqrt.f64 (PI.f64)) 1/2 (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 x x) -1/6)))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 1/2 (.f64 -1/6 (*.f64 x x))))
(+.f64 (.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2)))))
(fma.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4)) (fma.f64 1/2 (sqrt.f64 (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 (PI.f64)) (.f64 x x)))))
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(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 x x) -1/6) (.f64 (sqrt.f64 (PI.f64)) (+.f64 1/2 (.f64 1/18 (pow.f64 x 4)))))
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(.f64 x (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64))))
(.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))
(fma.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 2/3 (.f64 x x)) (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(.f64 x (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64))))
(.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))
(+.f64 0 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))) 1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (fma.f64 2/3 (.f64 x x) 2)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)) 1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (.f64 x x) 2) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) (/.f64 1 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)) (/.f64 1 (fma.f64 2/3 (*.f64 x x) 2)))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (pow.f64 (PI.f64) 1/6)))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (pow.f64 (PI.f64) 1/6)))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (/.f64 1 (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (fma.f64 2/3 (.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 (/.f64 1 (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)) (/.f64 1 (fma.f64 2/3 (*.f64 x x) 2)))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (pow.f64 (PI.f64) 1/6)))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (pow.f64 (PI.f64) 1/6)))
(.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (fma.f64 2/3 (.f64 x x) 2)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) -2) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)) -2)) (cbrt.f64 (fma.f64 x (*.f64 x 2/3) 2)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2/3) 2)) 2))
(.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) 2)) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (.f64 (pow.f64 (PI.f64) 1/4) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2))
(/.f64 (/.f64 (pow.f64 (PI.f64) 1/2) (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) 2))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)) 2))
(.f64 (pow.f64 (fma.f64 2/3 (.f64 x x) 2) -1/2) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (pow.f64 (fma.f64 x (.f64 x 2/3) 2) -1/2) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 2/3 (.f64 x x) 2))) (/.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 x (.f64 x 2/3) 2))) (/.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)) 1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(pow.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2)) 1/2)
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2)))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)) 3) 1/3)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))) 3)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))) 2)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(pow.f64 (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))) -1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 3)))
(pow.f64 (/.f64 (/.f64 (fma.f64 2/3 (*.f64 x x) 2) (sqrt.f64 (PI.f64))) 1) -1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)))))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2)))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)) 3))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) 1))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2)))) 1/3))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))) 3))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2)))) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 2/3 (.f64 x x) 2) (sqrt.f64 (PI.f64)))) -1))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))) 1) 1))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (-.f64 (.f64 (log.f64 (PI.f64)) 1/2) (log.f64 (fma.f64 2/3 (.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (log.f64 (fma.f64 2/3 (.f64 x x) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (PI.f64))) (.f64 (log.f64 (fma.f64 2/3 (.f64 x x) 2)) 1)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (-.f64 (.f64 (log.f64 (PI.f64)) 1/2) (.f64 (log.f64 (fma.f64 2/3 (*.f64 x x) 2)) 1)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (.f64 (log.f64 (fma.f64 2/3 (*.f64 x x) 2)) 1)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))

localize35.0ms (0.4%)

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)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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)))

2.0ms

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

2.0ms

-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)))

Compiler

Compiled 267 to 210 computations (21.3% saved)

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	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 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (*.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 1) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/4) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3) (pow.f64 (PI.f64) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 1))))))

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-/r/_binary64`
521×	`distribute-rgt-in_binary64`
511×	`distribute-lft-in_binary64`
446×	`fma-def_binary64`
287×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1536
1	344	1471
2	860	1471
3	3249	1464

Stop Event

1×	node limit

Counts

51 → 103

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(+.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))))
(+.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)))))))
(+.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)))))))
(-.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)
(.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))
(.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)
(.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))))
(.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))))
(.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)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2)))) 2) (.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2)))) (pow.f64 (PI.f64) -1/2)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2)))) (.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2)))) (pow.f64 (PI.f64) -1/2)))
(.f64 (neg.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2)))) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2))))
(.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))))
(.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))))
(.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)))
(.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)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2)))) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (pow.f64 (PI.f64) 1/6)))
(.f64 (pow.f64 (PI.f64) -1/4) (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2))) (pow.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x 2)))) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) (pow.f64 (PI.f64) 1/4)))
(pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64))) 1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) (PI.f64)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3) (pow.f64 (PI.f64) 3/2)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (neg.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 2) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2)))) -3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) 3) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (*.f64 x 2))) (sqrt.f64 (PI.f64)))))
(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)))))
(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)))))
(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))

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

eval383.0ms (4.5%)

Compiler: Compiled 17660 to 11884 computations (32.7% saved)

prune231.0ms (2.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	887	16	903
Fresh	3	2	5
Picked	1	0	1
Done	3	1	4
Total	894	19	913

Error

Counts

913 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.1b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	54.2b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 (/.f64 1 x) -7)) (sqrt.f64 (PI.f64))))
▶	7.0b	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
	60.0b	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (.f64 x 2/3)))))
	60.0b	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (/.f64 1 x) x) 3/2))))
	7.3b	(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
	54.2b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 x -2) -7/2))))
▶	54.1b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))))
	54.7b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (expm1.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7))))))
▶	56.5b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)))))
	58.1b	(fabs.f64 (/.f64 -1/21 (exp.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))))
	58.7b	(fabs.f64 (/.f64 -1/21 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))))
	0.3b	(fabs.f64 (.f64 (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
▶	6.7b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
	54.1b	(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
	0.2b	(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 (/.f64 1 x) -4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
▶	0.1b	(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
	54.1b	(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
	57.9b	(fabs.f64 (sqrt.f64 (*.f64 (pow.f64 (neg.f64 x) 14) (/.f64 1/441 (PI.f64)))))

Compiler

Compiled 510 to 441 computations (13.5% saved)

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/21 (pow.f64 x 6))
✓	0.1b	(.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64))))
✓	0.1b	(*.f64 1/5 (pow.f64 x 4))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 133 to 92 computations (30.8% saved)

series7.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64))))
1.0ms	x	@	-inf	(.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64))))
1.0ms	x	@	0	(.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64))))
1.0ms	x	@	inf	(*.f64 1/5 (pow.f64 x 4))
1.0ms	x	@	0	(*.f64 1/5 (pow.f64 x 4))

Compiler

Compiled 406 to 328 computations (19.2% saved)

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`fma-def_binary64`
350×	`expm1-udef_binary64`
350×	`log1p-udef_binary64`
337×	`fma-neg_binary64`
213×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	441	38
2	5593	38

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/5 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/5 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) 1/125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 12) 1/125))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/5 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/5 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 x) (log.f64 1/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 1/5)) 1))))))

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

573×	`log-prod_binary64`
556×	`associate-l_binary64`
520×	`associate-r_binary64`
237×	`times-frac_binary64`
216×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1355
1	415	1355
2	1209	1355
3	6524	1355

Stop Event

1×	node limit

Counts

57 → 87

Calls

Call 1

Inputs
(*.f64 1/5 (pow.f64 (/.f64 1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 -1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 -1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 -1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 -1 x) -4))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/5 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 1/5 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/5 (pow.f64 x 4))) 3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/5)) 2)
(pow.f64 (*.f64 (pow.f64 x 12) 1/125) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/25))
(log.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 x 12) 1/125))
(expm1.f64 (log1p.f64 (*.f64 1/5 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 1/5 (pow.f64 x 4))))
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 1/5)))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 1/5)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))))) 1)
(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2)))))
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))))
(/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) 1) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(/.f64 (.f64 (neg.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) x) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 1)
(pow.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 1))

Outputs
(*.f64 1/5 (pow.f64 (/.f64 1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 -1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 -1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 -1 x) -4))
(*.f64 1/5 (pow.f64 (/.f64 -1 x) -4))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 2/3 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2/3 (sqrt.f64 (PI.f64))) (pow.f64 x 3)))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2/3 (sqrt.f64 (PI.f64))) (pow.f64 x 3))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))
(fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64)))))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))
(fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))
(fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7)))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))))
(fma.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64))) (fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7)))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7)))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))
(fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7))))
(fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7)))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 -2/3 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -3)))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 -2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -3))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))))
(fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (/.f64 -2/3 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -3))))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))) (fma.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 -2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/5 (pow.f64 x 4)))) 1)
(*.f64 1/5 (pow.f64 x 4))
(pow.f64 (*.f64 1/5 (pow.f64 x 4)) 1)
(*.f64 1/5 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 1/5 (pow.f64 x 4))) 3)
(*.f64 1/5 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/5)) 2)
(*.f64 1/5 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 12) 1/125) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 12) 1/125))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/25))
(log.f64 (pow.f64 (exp.f64 1/5) (pow.f64 x 4)))
(*.f64 1/5 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/5 (pow.f64 x 4)))))
(*.f64 1/5 (pow.f64 x 4))
(cbrt.f64 (*.f64 (pow.f64 x 12) 1/125))
(expm1.f64 (log1p.f64 (*.f64 1/5 (pow.f64 x 4))))
(*.f64 1/5 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 1/5 (pow.f64 x 4))))
(*.f64 1/5 (pow.f64 x 4))
(exp.f64 (fma.f64 4 (log.f64 x) (log.f64 1/5)))
(*.f64 1/5 (pow.f64 x 4))
(exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 1/5)) 1))
(*.f64 1/5 (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))))) 1)
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) 1) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 x (/.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))))
(.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (neg.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) x) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 1)
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 3) 1/3)
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 3)
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 2)
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 2))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 3))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))) 3)))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))) 3) (pow.f64 x 3)))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (*.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 1))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 1/21 (pow.f64 x 6) (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 96 to 84 computations (12.5% saved)

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

689×	`log-prod_binary64`
436×	`associate-l_binary64`
392×	`associate-r_binary64`
329×	`distribute-rgt-neg-out_binary64`
327×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	361
1	165	361
2	599	361
3	3765	361

Stop Event

1×	node limit

Counts

35 → 28

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 1)
(/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 x (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 2 x)))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 2 x) 1) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 2 x) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(/.f64 (*.f64 -2 x) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 x -2) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 2)
(sqrt.f64 (.f64 (.f64 x x) (/.f64 4 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))

Outputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 1)
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 x (*.f64 (sqrt.f64 (PI.f64)) 1/2))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 2 x)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 2 x) 1) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 2 x) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 2 (cbrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 x (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 -2 x) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 x -2) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 3)
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 2)
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(sqrt.f64 (.f64 (.f64 x x) (/.f64 4 (PI.f64))))
(sqrt.f64 (.f64 x (.f64 x (/.f64 4 (PI.f64)))))
(sqrt.f64 (/.f64 x (/.f64 (PI.f64) (*.f64 x 4))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (sqrt.f64 (PI.f64)))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 3) (pow.f64 x 3)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 3)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))
✓	0.2b	(.f64 2/3 (.f64 x x))
✓	0.3b	(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 57 to 30 computations (47.4% saved)

series21.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))
7.0ms	x	@	inf	(/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))
1.0ms	x	@	0	(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2)))
1.0ms	x	@	inf	(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2)))
1.0ms	x	@	0	(/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))

Compiler

Compiled 2031 to 1624 computations (20% saved)

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`log-prod_binary64`
347×	`pow-prod-down_binary64`
310×	`pow2_binary64`
264×	`prod-diff_binary64`
218×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	247	38
2	3345	38

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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(#(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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 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 4/9 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 2/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/27 (pow.f64 x 6)))))) (#(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 (fma.f64 2 (log.f64 x) (log.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 2/3)) 1))))))

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

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

494×	`unswap-sqr_binary64`
378×	`log-div_binary64`
245×	`log-prod_binary64`
212×	`associate-/r/_binary64`
192×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	3139
1	857	2737
2	2861	2695
3	7321	2695

Stop Event

1×	node limit

Counts

151 → 222

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (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 (/.f64 1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/2 (sqrt.f64 (PI.f64)))
(+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2))))
(+.f64 (.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2)))))
(+.f64 (.f64 -1/54 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 6))) (+.f64 (.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2))))))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2))))
(+.f64 (.f64 27/2 (.f64 (pow.f64 (/.f64 1 x) 6) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (.f64 -81/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 8))) (+.f64 (.f64 27/2 (.f64 (pow.f64 (/.f64 1 x) 6) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2))))))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2))))
(+.f64 (.f64 27/2 (.f64 (pow.f64 (/.f64 -1 x) 6) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 4))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))))
(+.f64 (.f64 27/2 (.f64 (pow.f64 (/.f64 -1 x) 6) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -9/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 4))) (+.f64 (.f64 -81/2 (.f64 (pow.f64 (/.f64 -1 x) 8) (sqrt.f64 (PI.f64)))) (.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2))))))
(+.f64 0 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 x (.f64 x 2/3)) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 (.f64 x (.f64 x 2/3)) (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2))
(+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3))))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))))) 1)
(.f64 x (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))
(.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))
(.f64 (.f64 (fma.f64 x (*.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(.f64 1 (.f64 (fma.f64 x (*.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (.f64 (fma.f64 x (*.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (.f64 (fma.f64 x (*.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64)))))
(.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 x (.f64 x 2/3) 2))))
(.f64 (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))) x)
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 x (.f64 x 2/3) 2))
(.f64 (pow.f64 (PI.f64) -1/2) (/.f64 x (/.f64 1 (fma.f64 x (.f64 x 2/3) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (.f64 x 2/3) 2))))
(.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (.f64 x 2/3) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) -2) (/.f64 x (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (.f64 x 2/3) 2) 2)))) (cbrt.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (.f64 x 2/3) 2) 2)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)) -1/2) (/.f64 x (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)))))
(.f64 (/.f64 x 1) (/.f64 (fma.f64 x (.f64 x 2/3) 2) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 x (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) 1) (fma.f64 x (*.f64 x 2/3) 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)) 2)) (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (sqrt.f64 (fma.f64 x (.f64 x 2/3) 2))) (sqrt.f64 (fma.f64 x (.f64 x 2/3) 2)))
(pow.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))) 3)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (fma.f64 x (.f64 x 2/3) 2))) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (fma.f64 x (.f64 x 2/3) 2))) 1) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 x (*.f64 x 2/3) 2))))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 x (*.f64 x 2/3) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (.f64 (fma.f64 x (.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x 2/3) 2) (/.f64 x (sqrt.f64 (PI.f64))))) 1))
(fma.f64 (.f64 x (.f64 x 2/3)) (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 (.f64 x (*.f64 x 2/3)) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 x 2/3)) (*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2))
(fma.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (*.f64 x 2/3))))
(+.f64 0 (.f64 x (.f64 x 2/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 2/3)))) 1)
(pow.f64 (.f64 x (.f64 x 2/3)) 1)
(pow.f64 (*.f64 4/9 (pow.f64 x 4)) 1/2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2/3))) 3)
(pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)
(pow.f64 (*.f64 8/27 (pow.f64 x 6)) 1/3)
(sqrt.f64 (*.f64 4/9 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 2/3)))))
(cbrt.f64 (*.f64 8/27 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 2/3))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 2/3))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 2/3)) 1))
(+.f64 0 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)))) 1)
(.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)) 1)
(.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) (/.f64 1 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (.f64 x 2/3) 2) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (/.f64 1 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 2/3) 2))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 2/3) 2)) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)) -2) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)) 2)) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (pow.f64 (fma.f64 x (.f64 x 2/3) 2) -1/2) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 x (.f64 x 2/3) 2))) (/.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 8/27 (pow.f64 x 6) 8)) (-.f64 (fma.f64 4/9 (pow.f64 x 4) 4) (.f64 (*.f64 x x) 4/3)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 4/9 (pow.f64 x 4) -4)) (fma.f64 x (.f64 x 2/3) -2))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)) 1)
(pow.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))) 2)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64))) -1)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64))) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) 1))

Outputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 x (.f64 x 2/3) 2))
(/.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 x (.f64 x 2/3) 2))
(/.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 x (.f64 x 2/3) 2))
(/.f64 (fma.f64 2/3 (*.f64 x x) 2) (/.f64 (sqrt.f64 (PI.f64)) x))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2/3 (pow.f64 (/.f64 1 x) -3)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -3))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -3)))
(*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -3))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 -2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -3)))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 -2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -3)))
(+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 -2/3 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -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 (/.f64 1 x) -2))
(.f64 2/3 (.f64 x x))
(.f64 x (.f64 x 2/3))
(*.f64 2/3 (pow.f64 (/.f64 1 x) -2))
(.f64 2/3 (.f64 x x))
(.f64 x (.f64 x 2/3))
(*.f64 2/3 (pow.f64 (/.f64 1 x) -2))
(.f64 2/3 (.f64 x x))
(.f64 x (.f64 x 2/3))
(*.f64 2/3 (pow.f64 (/.f64 1 x) -2))
(.f64 2/3 (.f64 x x))
(.f64 x (.f64 x 2/3))
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 2/3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/2 (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) 1/2)
(+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2))))
(fma.f64 1/2 (sqrt.f64 (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))
(fma.f64 (sqrt.f64 (PI.f64)) 1/2 (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 x x) -1/6)))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 1/2 (.f64 -1/6 (*.f64 x x))))
(+.f64 (.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2)))))
(fma.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4)) (fma.f64 1/2 (sqrt.f64 (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 (PI.f64)) (.f64 x x)))))
(fma.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4)) (fma.f64 (sqrt.f64 (PI.f64)) 1/2 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 x x) -1/6))))
(fma.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 1/2 (.f64 -1/6 (.f64 x x)))))
(+.f64 (.f64 -1/54 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 6))) (+.f64 (.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (sqrt.f64 (PI.f64))) (.f64 -1/6 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 2))))))
(fma.f64 -1/54 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 6)) (fma.f64 1/18 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 4)) (fma.f64 1/2 (sqrt.f64 (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))))
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(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)))) 1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (fma.f64 x (.f64 x 2/3) 2)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)) 1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) (/.f64 1 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)) (/.f64 1 (fma.f64 x (*.f64 x 2/3) 2)))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (.f64 x 2/3) 2) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (/.f64 1 (fma.f64 x (*.f64 x 2/3) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 2/3) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 2/3) 2)) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)) (/.f64 1 (fma.f64 x (*.f64 x 2/3) 2)))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (fma.f64 x (.f64 x 2/3) 2)))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)) -2) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) -2) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2/3) 2)) 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (.f64 x x) 2))) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2)))
(.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 2/3) 2)) 2)) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(.f64 (pow.f64 (fma.f64 x (.f64 x 2/3) 2) -1/2) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(/.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x 2/3) 2) -1/2) (sqrt.f64 (PI.f64))) (sqrt.f64 (fma.f64 x (*.f64 x 2/3) 2)))
(.f64 (pow.f64 (fma.f64 2/3 (.f64 x x) 2) -1/2) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 x (.f64 x 2/3) 2))) (/.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)) (/.f64 1 (fma.f64 x (*.f64 x 2/3) 2)))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 x (.f64 x 2/3) 2)))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 1/6) (fma.f64 2/3 (.f64 x x) 2)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 8/27 (pow.f64 x 6) 8)) (-.f64 (fma.f64 4/9 (pow.f64 x 4) 4) (.f64 (*.f64 x x) 4/3)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 8/27 (pow.f64 x 6) 8)) (-.f64 (fma.f64 4/9 (pow.f64 x 4) 4) (.f64 x (*.f64 x 4/3))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 (pow.f64 x 6) 8/27 8)) (+.f64 (fma.f64 (pow.f64 x 4) 4/9 4) (.f64 (*.f64 x x) -4/3)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 (pow.f64 x 6) 8/27 8)) (+.f64 (fma.f64 (pow.f64 x 4) 4/9 4) (.f64 x (*.f64 x -4/3))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 (pow.f64 x 6) 8/27 8)) (+.f64 4 (fma.f64 (pow.f64 x 4) 4/9 (.f64 x (*.f64 x -4/3)))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 4/9 (pow.f64 x 4) -4)) (fma.f64 x (.f64 x 2/3) -2))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 (pow.f64 x 4) 4/9 -4)) (fma.f64 x (.f64 x 2/3) -2))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (fma.f64 (pow.f64 x 4) 4/9 -4) (fma.f64 2/3 (*.f64 x x) -2)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)) 1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(pow.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2)) 1/2)
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2)))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)) 3) 1/3)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))) 3)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))) 2)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64))) -1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3)))
(pow.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x 2/3) 2) (sqrt.f64 (PI.f64))) 1) -1)
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (fma.f64 x (*.f64 x 2/3) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 2)))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2)) 3))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 x (*.f64 x 2/3) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (.f64 x 2/3) 2))) 1))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 x (*.f64 x 2/3) 2))
(/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 22 computations (43.6% saved)

series18.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))
5.0ms	x	@	0	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))
4.0ms	x	@	-inf	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))
1.0ms	x	@	inf	(/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7)))
1.0ms	x	@	0	(/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7)))

Compiler

Compiled 1160 to 1052 computations (9.3% saved)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary64`
899×	`add-log-exp_binary64`
898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
111×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	224	23
2	2853	23

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-def_binary64`
437×	`log-div_binary64`
393×	`unswap-sqr_binary64`
386×	`associate-/r*_binary64`
369×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1311
1	393	1284
2	1401	1277
3	6658	1277

Stop Event

1×	node limit

Counts

91 → 99

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(-.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) 1)
(.f64 1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14))) (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2))))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 14))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x 7))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 x 7))))
(*.f64 (/.f64 1 (pow.f64 x 7/2)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7/2)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 x 7/2)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2))) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14)))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 3)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2)
(pow.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1)
(neg.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 x 14)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(log.f64 (/.f64 1 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (pow.f64 x 7) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))) 1)
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 1)
(.f64 1 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(.f64 (cbrt.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) (cbrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 x 14)))))
(.f64 (cbrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 x 14)))) (cbrt.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(.f64 (.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1/21)
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (/.f64 -1/21 (neg.f64 (sqrt.f64 (PI.f64)))) (pow.f64 x 7))
(.f64 (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1) (pow.f64 x 7))
(.f64 (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)))
(.f64 (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(pow.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 1)
(pow.f64 (pow.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) 2)
(pow.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) -21) -1)
(sqrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 x 14))))
(log.f64 (pow.f64 (exp.f64 -1/21) (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))))
(cbrt.f64 (pow.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(log1p.f64 (expm1.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(exp.f64 (log.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (/.f64 1 x) 7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 -1/21 (pow.f64 (/.f64 -1 x) -7)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(-.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(.f64 1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14))) (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14)))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 x -7) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 x -7) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2)
(/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 x 7))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2))))
(neg.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
(neg.f64 (/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 x 7)))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(*.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7)))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2)
(/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 x 7))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 14))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x 7))))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 x 14)) (cbrt.f64 (pow.f64 x 7))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x 14))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 x 7))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 14))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x 7))))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 x 14)) (cbrt.f64 (pow.f64 x 7))))
(*.f64 (/.f64 1 (pow.f64 x 7/2)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7/2)))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2)
(/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 x 7))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 x 7/2)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2))) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)))
(neg.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
(neg.f64 (/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 x 7)))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14)))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) (neg.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x 14))) (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) 3) 1/3)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 3)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2)
(/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 x 7))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(pow.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2)
(/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 x 7))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))
(neg.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 x 14)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(log.f64 (/.f64 1 (exp.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) 3))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (pow.f64 x 7) 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (pow.f64 x 7/2) 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))) 1)
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 1)
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(.f64 1 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(.f64 (cbrt.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) (cbrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 x 14)))))
(.f64 (cbrt.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) (cbrt.f64 (*.f64 (/.f64 1/441 (PI.f64)) (pow.f64 x 14))))
(.f64 (cbrt.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) (cbrt.f64 (*.f64 (pow.f64 x 14) (/.f64 1/441 (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) (cbrt.f64 (.f64 (pow.f64 x 14) (/.f64 1/441 (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 x 14)))) (cbrt.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(.f64 (cbrt.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) (cbrt.f64 (*.f64 (/.f64 1/441 (PI.f64)) (pow.f64 x 14))))
(.f64 (cbrt.f64 (/.f64 -1/21 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) (cbrt.f64 (*.f64 (pow.f64 x 14) (/.f64 1/441 (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) (cbrt.f64 (.f64 (pow.f64 x 14) (/.f64 1/441 (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1/21)
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -1/21 (neg.f64 (sqrt.f64 (PI.f64)))) (pow.f64 x 7))
(*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)))
(.f64 (cbrt.f64 (pow.f64 x 7)) (.f64 (cbrt.f64 (pow.f64 x 14)) (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (pow.f64 x 14)) (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 x 7))))
(.f64 -1/21 (/.f64 (.f64 (cbrt.f64 (pow.f64 x 14)) (cbrt.f64 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 1)
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(pow.f64 (pow.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 3) 1/3)
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(pow.f64 (cbrt.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 3)
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) 2)
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(pow.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) -21) -1)
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(sqrt.f64 (/.f64 1/441 (/.f64 (PI.f64) (pow.f64 x 14))))
(sqrt.f64 (*.f64 (/.f64 1/441 (PI.f64)) (pow.f64 x 14)))
(sqrt.f64 (*.f64 (pow.f64 x 14) (/.f64 1/441 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 -1/21) (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))))
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(cbrt.f64 (pow.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 3))
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(expm1.f64 (log1p.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(log1p.f64 (expm1.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(exp.f64 (log.f64 (/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))
(/.f64 -1/21 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)))
✓	0.1b	(.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)
✓	1.0b	(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 80 to 64 computations (20% saved)

series324.0ms (3.8%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
158.0ms	x	@	0	(.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)
139.0ms	x	@	inf	(.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)
9.0ms	x	@	-inf	(.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)
7.0ms	x	@	inf	(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)))
4.0ms	x	@	-inf	(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)))

Compiler

Compiled 23676 to 21516 computations (9.1% saved)

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
391×	`exp-prod_binary64`
281×	`pow2_binary64`
262×	`pow-prod-down_binary64`
195×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	258	29
2	2709	26

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7))
(.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)))

Outputs

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

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

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

667×	`times-frac_binary64`
483×	`fma-def_binary64`
481×	`unswap-sqr_binary64`
435×	`sqr-pow_binary64`
327×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	2627
1	862	2580
2	2567	2575

Stop Event

1×	node limit

Counts

174 → 199

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(*.f64 -7 (log.f64 (/.f64 -1 x)))
(*.f64 -7 (log.f64 (/.f64 -1 x)))
(*.f64 -7 (log.f64 (/.f64 -1 x)))
(*.f64 -7 (log.f64 (/.f64 -1 x)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(+.f64 0 (pow.f64 (neg.f64 x) 7))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7))) 1)
(*.f64 -1 (pow.f64 x 7))
(*.f64 1 (pow.f64 (neg.f64 x) 7))
(*.f64 (pow.f64 (neg.f64 x) 7) 1)
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7)) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 14)) (cbrt.f64 (pow.f64 (neg.f64 x) 7)))
(*.f64 (pow.f64 (neg.f64 x) 7/2) (pow.f64 (neg.f64 x) 7/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) -14) (cbrt.f64 (pow.f64 (neg.f64 x) 7)))
(*.f64 (pow.f64 (exp.f64 -7) (log.f64 -1)) (pow.f64 (exp.f64 -7) (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 -7) (log.f64 (pow.f64 (neg.f64 x) -1/2))) (pow.f64 (exp.f64 -7) (log.f64 (pow.f64 (neg.f64 x) -1/2))))
(*.f64 (pow.f64 (exp.f64 -7) (log.f64 (cbrt.f64 (pow.f64 x -2)))) (pow.f64 (exp.f64 -7) (log.f64 (cbrt.f64 (/.f64 -1 x)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 x) 7/2))) (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 x) 7/2))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 14)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7)))))
(/.f64 1 (pow.f64 (neg.f64 x) -7))
(/.f64 (pow.f64 (exp.f64 -7) (log.f64 -1)) (pow.f64 (exp.f64 -7) (log.f64 x)))
(/.f64 (pow.f64 (exp.f64 -7) (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x))))) (exp.f64 -7))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))) (E.f64))
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (pow.f64 (neg.f64 x) 7) 1)
(pow.f64 (exp.f64 -7) (log.f64 (/.f64 -1 x)))
(pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 x) 7)))
(pow.f64 (pow.f64 (neg.f64 x) 14) 1/2)
(pow.f64 (pow.f64 (/.f64 -1 x) -21) 1/3)
(pow.f64 (pow.f64 x -2) -7/2)
(pow.f64 (pow.f64 (neg.f64 x) -3) -7/3)
(pow.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7)) 3)
(pow.f64 (cbrt.f64 (/.f64 -1 x)) -21)
(pow.f64 (pow.f64 (neg.f64 x) 7/2) 2)
(pow.f64 (pow.f64 (neg.f64 x) -1/2) -14)
(pow.f64 (neg.f64 x) 7)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 x)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) -7))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))) (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))) (*.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) -7))
(pow.f64 (+.f64 1 (fma.f64 -1 (pow.f64 x 7) -1)) 1)
(pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7)
(pow.f64 (pow.f64 (exp.f64 -7) (cbrt.f64 (log.f64 (/.f64 -1 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2))
(pow.f64 (pow.f64 (exp.f64 -7) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 x))))
(pow.f64 (pow.f64 (exp.f64 -7) (sqrt.f64 (log.f64 (/.f64 -1 x)))) (sqrt.f64 (log.f64 (/.f64 -1 x))))
(pow.f64 (pow.f64 (E.f64) -7) (log.f64 (/.f64 -1 x)))
(pow.f64 (pow.f64 (E.f64) (*.f64 -7 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2))) (cbrt.f64 (log.f64 (/.f64 -1 x))))
(pow.f64 (pow.f64 (E.f64) (*.f64 -7 (sqrt.f64 (log.f64 (/.f64 -1 x))))) (sqrt.f64 (log.f64 (/.f64 -1 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) 1) (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) (sqrt.f64 -7)) (sqrt.f64 (log.f64 (/.f64 -1 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) (sqrt.f64 (log.f64 (/.f64 -1 x)))) (sqrt.f64 -7))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) (sqrt.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))) (sqrt.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2)))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))) 1) (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))) (cbrt.f64 -7)) (cbrt.f64 (log.f64 (/.f64 -1 x))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))) (cbrt.f64 (log.f64 (/.f64 -1 x)))) (cbrt.f64 -7))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))))
(pow.f64 (exp.f64 (*.f64 -7 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2))) (cbrt.f64 (log.f64 (/.f64 -1 x))))
(pow.f64 (exp.f64 (*.f64 -7 (sqrt.f64 (log.f64 (/.f64 -1 x))))) (sqrt.f64 (log.f64 (/.f64 -1 x))))
(sqrt.f64 (pow.f64 (neg.f64 x) 14))
(log.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (neg.f64 x) 7))))
(cbrt.f64 (pow.f64 (/.f64 -1 x) -21))
(expm1.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7)))
(log1p.f64 (expm1.f64 (pow.f64 (neg.f64 x) 7)))
(+.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 0)
(+.f64 (log.f64 -1) (log.f64 (pow.f64 x 7)))
(+.f64 0 (log.f64 (pow.f64 (neg.f64 x) 7)))
(+.f64 (log.f64 (pow.f64 (neg.f64 x) 7/2)) (log.f64 (pow.f64 (neg.f64 x) 7/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7))) (log.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 14))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (log.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) -14)) (log.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) 1)
(pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 1)
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))) 3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) 2)) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 2))
(log.f64 (pow.f64 (neg.f64 x) 7))
(log.f64 (+.f64 1 (fma.f64 -1 (pow.f64 x 7) -1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))
(log1p.f64 (fma.f64 -1 (pow.f64 x 7) -1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (neg.f64 x) 7))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (neg.f64 x) 7))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (pow.f64 (neg.f64 x) 7))) 1) 1))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))) 1)
(.f64 1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)) 1)
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) -7)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) -7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 (neg.f64 x) 7))))
(*.f64 (pow.f64 (neg.f64 x) -7) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 7))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 (neg.f64 x) 7))))
(*.f64 (pow.f64 (/.f64 -1 x) 7/2) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7/2)))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(pow.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) 3)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) 2)
(pow.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) -1)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (neg.f64 x) 7))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 (pow.f64 (neg.f64 x) 7))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (log.f64 (pow.f64 (neg.f64 x) 7))))

Outputs
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(*.f64 -7 (log.f64 (/.f64 -1 x)))
(*.f64 -7 (log.f64 (/.f64 -1 x)))
(*.f64 -7 (log.f64 (/.f64 -1 x)))
(*.f64 -7 (log.f64 (/.f64 -1 x)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(+.f64 0 (pow.f64 (neg.f64 x) 7))
(pow.f64 (neg.f64 x) 7)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7))) 1)
(pow.f64 (neg.f64 x) 7)
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 1 (pow.f64 (neg.f64 x) 7))
(pow.f64 (neg.f64 x) 7)
(*.f64 (pow.f64 (neg.f64 x) 7) 1)
(pow.f64 (neg.f64 x) 7)
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7)) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 14)) (cbrt.f64 (pow.f64 (neg.f64 x) 7)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7)) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(*.f64 (pow.f64 (neg.f64 x) 7/2) (pow.f64 (neg.f64 x) 7/2))
(pow.f64 (neg.f64 x) 7)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) -14) (cbrt.f64 (pow.f64 (neg.f64 x) 7)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7)) (pow.f64 (cbrt.f64 (/.f64 -1 x)) -14))
(*.f64 (pow.f64 (exp.f64 -7) (log.f64 -1)) (pow.f64 (exp.f64 -7) (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 -7) (log.f64 (pow.f64 (neg.f64 x) -1/2))) (pow.f64 (exp.f64 -7) (log.f64 (pow.f64 (neg.f64 x) -1/2))))
(pow.f64 (exp.f64 -7) (*.f64 2 (log.f64 (pow.f64 (neg.f64 x) -1/2))))
(pow.f64 (exp.f64 -7) (*.f64 -1 (log.f64 (neg.f64 x))))
(pow.f64 (exp.f64 -7) (neg.f64 (log.f64 (neg.f64 x))))
(*.f64 (pow.f64 (exp.f64 -7) (log.f64 (cbrt.f64 (pow.f64 x -2)))) (pow.f64 (exp.f64 -7) (log.f64 (cbrt.f64 (/.f64 -1 x)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 x) 7/2))) (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 x) 7/2))))
(pow.f64 (neg.f64 x) 7)
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 14)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 7)))))
(/.f64 1 (pow.f64 (neg.f64 x) -7))
(/.f64 (pow.f64 (exp.f64 -7) (log.f64 -1)) (pow.f64 (exp.f64 -7) (log.f64 x)))
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(.f64 (pow.f64 (neg.f64 x) -7) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) -7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 (neg.f64 x) 7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(*.f64 (pow.f64 (neg.f64 x) -7) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7)))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)) (pow.f64 (neg.f64 x) 7))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 7))))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 7))) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (cbrt.f64 (pow.f64 (neg.f64 x) 7)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 14))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 (neg.f64 x) 7))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 7))))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 7))) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(/.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (cbrt.f64 (pow.f64 (neg.f64 x) 7)))
(*.f64 (pow.f64 (/.f64 -1 x) 7/2) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)))
(/.f64 (pow.f64 (/.f64 -1 x) 7/2) (/.f64 (pow.f64 (neg.f64 x) 7/2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7/2)))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)) (pow.f64 (neg.f64 x) 7))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7)))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(pow.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)) 1/2)
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)) 3) 1/3)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) 3)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) 2)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(pow.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) -1)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))
(pow.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) 1) -1)
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (neg.f64 x) 7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (neg.f64 x) -7)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)) 3))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) 1))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))) 1/3))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7)))) 3))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2))) 2))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64)))) -1))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))) 1) 1))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 (pow.f64 (neg.f64 x) 7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) (log.f64 (pow.f64 (neg.f64 x) 7))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))

eval309.0ms (3.6%)

Compiler: Compiled 14937 to 10098 computations (32.4% saved)

prune212.0ms (2.5%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	809	10	819
Fresh	8	5	13
Picked	1	0	1
Done	1	4	5
Total	819	19	838

Error

Counts

838 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	54.1b	(fabs.f64 (/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
✓	7.1b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	54.2b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 (/.f64 1 x) -7)) (sqrt.f64 (PI.f64))))
✓	7.0b	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
	60.0b	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (.f64 x 2/3)))))
	60.0b	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (/.f64 1 x) x) 3/2))))
▶	60.0b	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 1 (*.f64 x x)) 3/2))))
▶	7.3b	(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
	55.1b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (neg.f64 x) -3) -7/3))))
▶	59.5b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7))))
	56.5b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 7 (log.f64 (neg.f64 x)))))))
	54.9b	(fabs.f64 (/.f64 -1/21 (exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 (pow.f64 (neg.f64 x) 7))))))
	0.3b	(fabs.f64 (.f64 (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
▶	54.1b	(fabs.f64 (*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
	54.1b	(fabs.f64 (*.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1/21))
✓	6.7b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
▶	0.2b	(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
✓	0.1b	(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
	33.8b	(fabs.f64 (sqrt.f64 (.f64 (.f64 x x) (/.f64 4 (PI.f64)))))

Compiler

Compiled 461 to 395 computations (14.3% saved)

localize59.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64))))
	0.1b	(*.f64 1/5 (pow.f64 x 4))
✓	0.3b	(pow.f64 (/.f64 1 x) -6)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 151 to 109 computations (27.8% saved)

series8.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64))))
1.0ms	x	@	-inf	(.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64))))
1.0ms	x	@	0	(.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64))))
1.0ms	x	@	0	(pow.f64 (/.f64 1 x) -6)
1.0ms	x	@	inf	(pow.f64 (/.f64 1 x) -6)

Compiler

Compiled 382 to 304 computations (20.4% saved)

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`fma-def_binary64`
375×	`expm1-udef_binary64`
375×	`log1p-udef_binary64`
343×	`fma-neg_binary64`
231×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	43
1	481	35
2	6051	35

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 x) -6)
(.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -6) (pow.f64 (/.f64 1 (cbrt.f64 x)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -6) (pow.f64 (pow.f64 x -1/2) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 x) -12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 6)) 1))))))

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

655×	`log-prod_binary64`
606×	`associate-l_binary64`
562×	`associate-r_binary64`
259×	`times-frac_binary64`
223×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1354
1	432	1354
2	1291	1352
3	6854	1352

Stop Event

1×	node limit

Counts

63 → 91

Calls

Call 1

Inputs
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 (/.f64 -1 x) -6)
(pow.f64 (/.f64 -1 x) -6)
(pow.f64 (/.f64 -1 x) -6)
(pow.f64 (/.f64 -1 x) -6)
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (*.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 (/.f64 1 x) -5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64)))))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (*.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (pow.f64 (/.f64 -1 x) -3) (sqrt.f64 (PI.f64)))) (.f64 -1/5 (/.f64 (pow.f64 (/.f64 -1 x) -5) (sqrt.f64 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 6))) 1)
(*.f64 1 (pow.f64 x 6))
(*.f64 (pow.f64 x 6) 1)
(.f64 (pow.f64 x 4) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 x 4))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))
(*.f64 (pow.f64 x 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -6) (pow.f64 (/.f64 1 (cbrt.f64 x)) -6))
(*.f64 (pow.f64 (pow.f64 x -1/2) -6) (pow.f64 (pow.f64 x -1/2) -6))
(.f64 (.f64 (pow.f64 x 4) x) x)
(.f64 (.f64 (pow.f64 x 4) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(sqrt.f64 (pow.f64 (/.f64 1 x) -12))
(log.f64 (exp.f64 (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 6))))
(cbrt.f64 (pow.f64 (pow.f64 x 6) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 6)))
(log1p.f64 (expm1.f64 (pow.f64 x 6)))
(exp.f64 (log.f64 (pow.f64 x 6)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 6)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))))) 1)
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))))))
(/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (*.f64 x x) 2)))))
(/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) 1) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(/.f64 (.f64 (neg.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) x) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 1)
(pow.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (*.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 1))

Outputs
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 x 6)
(pow.f64 (/.f64 -1 x) -6)
(pow.f64 (/.f64 -1 x) -6)
(pow.f64 (/.f64 -1 x) -6)
(pow.f64 (/.f64 -1 x) -6)
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 2/3 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 3))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 (/.f64 2/3 (sqrt.f64 (PI.f64))) (pow.f64 x 3)))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 x 2) (sqrt.f64 (PI.f64)))))
(fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 1/5 (sqrt.f64 (PI.f64))) (pow.f64 x 5))))
(+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
(fma.f64 2/3 (/.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))) (fma.f64 1/5 (/.f64 (pow.f64 x 5) (sqrt.f64 (PI.f64))) (fma.f64 2 (/.f64 x (sqrt.f64 (PI.f64))) (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))
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(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))) 3) (pow.f64 x 3)))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2)))) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (*.f64 x x) 2)))) (sqrt.f64 (PI.f64)))) 1))
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))))
(.f64 x (/.f64 (fma.f64 1/5 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/21 (fma.f64 2/3 (.f64 x x) 2))) (sqrt.f64 (PI.f64))))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 10 computations (56.5% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

Compiler

Compiled 168 to 144 computations (14.3% saved)

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`pow1_binary64`
720×	`add-log-exp_binary64`
720×	`log1p-expm1-u_binary64`
720×	`expm1-log1p-u_binary64`
704×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	1985	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-def_binary64`
686×	`log-prod_binary64`
425×	`fma-neg_binary64`
403×	`log-div_binary64`
339×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	858
1	319	777
2	1169	705
3	5391	705

Stop Event

1×	node limit

Counts

69 → 69

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 1)
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(.f64 1 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (.f64 x x)))) (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) x)))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2)
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)
(*.f64 (/.f64 2 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 x))
(.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) x)
(.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 2 x)) -1)
(sqrt.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 x x))))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1)
(*.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) (cbrt.f64 (/.f64 (PI.f64) (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (/.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) x))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) -1)
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))

Outputs
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 1)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(.f64 1 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (.f64 x (.f64 x (/.f64 4 (PI.f64))))))
(.f64 (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (.f64 x x)))) (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (.f64 x (.f64 x (/.f64 4 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) x)))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 x (sqrt.f64 (PI.f64))) 2)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 2 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 x))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) x)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 1)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 3)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))) 2)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 2 x)) -1)
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(sqrt.f64 (/.f64 4 (/.f64 (PI.f64) (*.f64 x x))))
(sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x (/.f64 4 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64)))) 3))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64)))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x)) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 1 (/.f64 (sqrt.f64 (PI.f64)) x))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) (cbrt.f64 (/.f64 (PI.f64) (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) (cbrt.f64 (/.f64 (PI.f64) (.f64 x x))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (/.f64 1 x)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) x))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) x))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) x))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) x))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 x)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) x))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) 3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) 2)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(pow.f64 (/.f64 x (sqrt.f64 (PI.f64))) -1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(sqrt.f64 (/.f64 (PI.f64) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 3))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 x 3)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 1))
(+.f64 (/.f64 (sqrt.f64 (PI.f64)) x) 0)
(/.f64 (sqrt.f64 (PI.f64)) x)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (*.f64 x x))
✓	0.2b	(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 1 (*.f64 x x)) 3/2))
✓	0.2b	(.f64 (/.f64 1 (.f64 x x)) 3/2)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 57 to 30 computations (47.4% saved)

series12.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

Compiler

Compiled 312 to 276 computations (11.5% saved)

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`pow1_binary64`
800×	`add-log-exp_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
779×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	203	24
2	2361	24

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

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

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

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

700×	`log-prod_binary64`
433×	`associate-*l/_binary64`
325×	`log-div_binary64`
302×	`associate-*r/_binary64`
255×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	734
1	303	734
2	1261	728
3	4913	722

Stop Event

1×	node limit

Counts

89 → 73

Calls

Call 1

Inputs
(*.f64 3/2 (pow.f64 x -2))
(*.f64 3/2 (pow.f64 x -2))
(*.f64 3/2 (pow.f64 x -2))
(*.f64 3/2 (pow.f64 x -2))
(*.f64 3/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 3/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 3/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 3/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 3/2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 3/2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 3/2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 3/2 (pow.f64 (/.f64 -1 x) 2))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (/.f64 -1 x) 2)
(-.f64 (+.f64 1 (/.f64 (/.f64 3/2 x) x)) 1)
(/.f64 1 (/.f64 (*.f64 x x) 3/2))
(/.f64 3/2 (*.f64 x x))
(/.f64 -3/2 (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 3/2 x) x)
(/.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (/.f64 1 x) 3/2) x)
(/.f64 (*.f64 3/2 (/.f64 1 x)) x)
(pow.f64 (/.f64 (/.f64 3/2 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 3/2 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 3/2 x) x)) 3)
(pow.f64 (/.f64 (sqrt.f64 3/2) x) 2)
(sqrt.f64 (/.f64 9/4 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 (/.f64 3/2 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 3/2 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 3/2 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 3/2 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 3/2 x) x)))
(-.f64 (+.f64 1 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))) 1)
(/.f64 (.f64 3/2 (sqrt.f64 (PI.f64))) (.f64 x x))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 3/2) (.f64 x x))
(pow.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64)))) 1)
(pow.f64 (pow.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (/.f64 (sqrt.f64 3/2) x)) 2)
(sqrt.f64 (*.f64 (PI.f64) (/.f64 9/4 (pow.f64 x 4))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 3/2 x) x)) (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 3/2 x) x) 3) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 (/.f64 3/2 x) x) 3)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))))
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 1)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(.f64 -1 (/.f64 1 (.f64 x (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (/.f64 1 x) 2)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(exp.f64 (log.f64 (pow.f64 x -2)))

Outputs
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 (/.f64 1 x) 2))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 (/.f64 -1 x) 2))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(.f64 3/2 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 2)))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 x -2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 x -2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 x -2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 x -2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 x -2)
(-.f64 (+.f64 1 (/.f64 (/.f64 3/2 x) x)) 1)
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(/.f64 1 (/.f64 (*.f64 x x) 3/2))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(/.f64 3/2 (*.f64 x x))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 -3/2 (*.f64 x (neg.f64 x)))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(/.f64 (/.f64 3/2 x) x)
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(/.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 3/2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 3/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 1 x) 3/2) x)
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(/.f64 (*.f64 3/2 (/.f64 1 x)) x)
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(pow.f64 (/.f64 (/.f64 3/2 x) x) 1)
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 3/2 x) x) 3) 1/3)
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 3/2 x) x)) 3)
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 3/2) x) 2)
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(sqrt.f64 (/.f64 9/4 (pow.f64 x 4)))
(sqrt.f64 (*.f64 9/4 (pow.f64 x -4)))
(log.f64 (exp.f64 (/.f64 (/.f64 3/2 x) x)))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 3/2 x) x) 3))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 3/2 x) x)))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 3/2 x) x)))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (/.f64 3/2 x) x)))
(*.f64 3/2 (pow.f64 x -2))
(/.f64 3/2 (*.f64 x x))
(-.f64 (+.f64 1 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))) 1)
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(/.f64 (.f64 3/2 (sqrt.f64 (PI.f64))) (.f64 x x))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 3/2) (.f64 x x))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(pow.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64)))) 1)
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(pow.f64 (pow.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64)))) 3) 1/3)
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))) 3)
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (/.f64 (sqrt.f64 3/2) x)) 2)
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 9/4 (pow.f64 x 4))))
(sqrt.f64 (.f64 9/4 (.f64 (PI.f64) (pow.f64 x -4))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 x 4)) 9/4))
(log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 3/2 x) x)) (sqrt.f64 (PI.f64))))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64)))) 3))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 3/2 x) x) 3) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 3/2 (.f64 x x)) 3) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (.f64 (/.f64 27/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (*.f64 (/.f64 27/8 (pow.f64 x 6)) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 (/.f64 3/2 x) x) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 3/2 (.f64 x x)) 3) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (.f64 (/.f64 27/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (PI.f64) 3/2)))
(cbrt.f64 (*.f64 (/.f64 27/8 (pow.f64 x 6)) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(exp.f64 (log.f64 (.f64 (pow.f64 x -2) (.f64 3/2 (sqrt.f64 (PI.f64))))))
(.f64 3/2 (.f64 (pow.f64 x -2) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(pow.f64 x -2)
(.f64 -1 (/.f64 1 (.f64 x (neg.f64 x))))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 x -2)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(pow.f64 x -2)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

Compiler

Compiled 136 to 124 computations (8.8% saved)

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`pow1_binary64`
820×	`add-log-exp_binary64`
820×	`log1p-expm1-u_binary64`
820×	`expm1-log1p-u_binary64`
802×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	195	20
2	2272	20

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

785×	`log-prod_binary64`
741×	`fma-def_binary64`
659×	`unswap-sqr_binary64`
523×	`log-div_binary64`
320×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	728
1	259	683
2	1034	638
3	6025	638

Stop Event

1×	node limit

Counts

54 → 57

Calls

Call 1

Inputs
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(-.f64 (+.f64 1 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) 1)
(*.f64 -1/21 (pow.f64 (PI.f64) -1/2))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1)
(*.f64 1 (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 1/441 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 1/441 (PI.f64))) (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(*.f64 1/21 (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) -1/2) -1/21)
(pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1)
(pow.f64 (pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) 2)
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) -21) -1)
(sqrt.f64 (/.f64 1/441 (PI.f64)))
(log.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(/.f64 (pow.f64 x 7) (*.f64 (sqrt.f64 (PI.f64)) -21))
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 -1/21 (pow.f64 x 7))))
(/.f64 (*.f64 -1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 -1/21 (pow.f64 x 7))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) 1) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(/.f64 (*.f64 1/21 (pow.f64 x 7)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x 7) 1/21) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 14) (/.f64 1/441 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 3) (pow.f64 (pow.f64 x 7) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) (pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))

Outputs
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 -1/21 (/.f64 (pow.f64 (/.f64 1 x) -7) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7)))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7)))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7)))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(*.f64 1/21 (/.f64 (pow.f64 (/.f64 -1 x) -7) (sqrt.f64 (PI.f64))))
(/.f64 1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7)))
(*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 -1 x) -7))
(-.f64 (+.f64 1 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) 1)
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(*.f64 -1/21 (pow.f64 (PI.f64) -1/2))
(*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1)
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(*.f64 1 (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 1/441 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 1/441 (PI.f64))) (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 1/441 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(*.f64 1/21 (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) -1/2) -1/21)
(*.f64 -1/21 (pow.f64 (PI.f64) -1/2))
(pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1)
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) 3)
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) 2)
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) -21) -1)
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(sqrt.f64 (/.f64 1/441 (PI.f64)))
(log.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 3))
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(+.f64 1 (-.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 1))
(+.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 0)
(/.f64 -1/21 (sqrt.f64 (PI.f64)))
(-.f64 (+.f64 1 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(/.f64 (pow.f64 x 7) (*.f64 (sqrt.f64 (PI.f64)) -21))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 -1/21 (pow.f64 x 7))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 -1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64)))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 -1/21 (pow.f64 x 7))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) 1) (sqrt.f64 (PI.f64)))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 -1/21 (pow.f64 x 7)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 -1/21 (pow.f64 x 7)) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (pow.f64 x 7) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 -1/21 (cbrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 1/21 (pow.f64 x 7)) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x 7) 1/21) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 1)
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 3) 1/3)
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 3)
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) 2)
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (pow.f64 x 14) (/.f64 1/441 (PI.f64))))
(sqrt.f64 (*.f64 (/.f64 1/441 (PI.f64)) (pow.f64 x 14)))
(sqrt.f64 (/.f64 (*.f64 1/441 (pow.f64 x 14)) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) (pow.f64 x 7)))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 3))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 3) (pow.f64 (pow.f64 x 7) 3)))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) (pow.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) 3)))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))
(*.f64 -1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64))))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7))
✓	0.2b	(pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7)
	1.0b	(sqrt.f64 (PI.f64))
✓	4.6b	(+.f64 1 (-.f64 (/.f64 -1 x) 1))

Compiler

Compiled 74 to 59 computations (20.3% saved)

series29.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7)
4.0ms	x	@	-inf	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7))
4.0ms	x	@	inf	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7))
4.0ms	x	@	0	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7))
1.0ms	x	@	0	(pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7)

Compiler

Compiled 1176 to 1056 computations (10.2% saved)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
406×	`prod-diff_binary64`
302×	`pow2_binary64`
245×	`fma-def_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	267	24
2	3506	22

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

399×	`times-frac_binary64`
368×	`associate-/l*_binary64`
327×	`fma-def_binary64`
325×	`log-prod_binary64`
279×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	2021
1	687	1887
2	1926	1826
3	7637	1826

Stop Event

1×	node limit

Counts

165 → 182

Calls

Call 1

Inputs
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(-.f64 (/.f64 -1 x) 0)
(-.f64 (+.f64 1 (/.f64 -1 x)) 1)
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (/.f64 -1 x)) 1)) (/.f64 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2) (+.f64 (-.f64 1 (/.f64 -1 x)) 1)))
(*.f64 1 (/.f64 -1 x))
(*.f64 -1 (/.f64 1 x))
(.f64 -1 (.f64 (/.f64 1 x) 1))
(*.f64 (/.f64 -1 x) 1)
(*.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 -1 (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (neg.f64 x) -1/2) (pow.f64 (neg.f64 x) -1/2))
(.f64 (pow.f64 (neg.f64 x) -1/2) (.f64 (pow.f64 (neg.f64 x) -1/2) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (/.f64 1 (fma.f64 (+.f64 -1 (/.f64 -1 x)) (-.f64 (+.f64 -1 (/.f64 -1 x)) 1) 1)))
(*.f64 (/.f64 1 x) -1)
(*.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 -1 x)) 1)))
(/.f64 1 (neg.f64 x))
(/.f64 1 (/.f64 (fma.f64 (+.f64 -1 (/.f64 -1 x)) (-.f64 (+.f64 -1 (/.f64 -1 x)) 1) 1) (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 -1 x)) 1) (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2))))
(/.f64 -1 x)
(/.f64 -1 (neg.f64 (neg.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (fma.f64 (+.f64 -1 (/.f64 -1 x)) (-.f64 (+.f64 -1 (/.f64 -1 x)) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (+.f64 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2) (+.f64 (-.f64 1 (/.f64 -1 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (+.f64 (-.f64 1 (/.f64 -1 x)) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3))) (neg.f64 (fma.f64 (+.f64 -1 (/.f64 -1 x)) (-.f64 (+.f64 -1 (/.f64 -1 x)) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2))) (neg.f64 (+.f64 (-.f64 1 (/.f64 -1 x)) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 x)) 2) (+.f64 1 (+.f64 1 (/.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 x)) 2) 1) (+.f64 (+.f64 1 (/.f64 -1 x)) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2) 1) (-.f64 (+.f64 -1 (/.f64 -1 x)) 1))
(/.f64 (/.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 -1 x) 1)
(pow.f64 (pow.f64 x -2) 1/2)
(pow.f64 (/.f64 -1 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (neg.f64 x) -1/2) 2)
(pow.f64 (neg.f64 x) -1)
(pow.f64 (pow.f64 (neg.f64 x) -3) 1/3)
(pow.f64 (/.f64 (fma.f64 (+.f64 -1 (/.f64 -1 x)) (-.f64 (+.f64 -1 (/.f64 -1 x)) 1) 1) (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (-.f64 1 (/.f64 -1 x)) 1) (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2))) -1)
(neg.f64 (/.f64 1 x))
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (/.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 x))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (neg.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 x)))
(log1p.f64 (expm1.f64 (/.f64 -1 x)))
(exp.f64 (log.f64 (/.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 x)) 1))
(fma.f64 1 (/.f64 -1 x) 0)
(fma.f64 1 (+.f64 -1 (/.f64 -1 x)) 1)
(fma.f64 1 (+.f64 1 (/.f64 -1 x)) -1)
(fma.f64 -1 (/.f64 1 x) 0)
(fma.f64 -1 (*.f64 (/.f64 1 x) 1) 0)
(fma.f64 (/.f64 -1 x) 1 0)
(fma.f64 (+.f64 -1 (/.f64 -1 x)) 1 1)
(fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 (cbrt.f64 x)) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 -1 (cbrt.f64 x)) 1) 0)
(fma.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 x))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -1 x))) 1)
(fma.f64 (pow.f64 (neg.f64 x) -1/2) (pow.f64 (neg.f64 x) -1/2) 0)
(fma.f64 (pow.f64 (neg.f64 x) -1/2) (*.f64 (pow.f64 (neg.f64 x) -1/2) 1) 0)
(fma.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 x))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))) 1)
(fma.f64 (fma.f64 -1 (pow.f64 x -3) -1) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 -1 x)))) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (/.f64 1 (fma.f64 (+.f64 -1 (/.f64 -1 x)) (-.f64 (+.f64 -1 (/.f64 -1 x)) 1) 1)) 0)
(fma.f64 (/.f64 1 x) -1 0)
(fma.f64 (+.f64 (pow.f64 x -2) -1) (/.f64 1 (+.f64 1 (/.f64 -1 x))) 1)
(fma.f64 (+.f64 1 (/.f64 -1 x)) 1 -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 -1 x)) 1)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 x))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (neg.f64 x) -1/2)) (hypot.f64 1 (pow.f64 (neg.f64 x) -1/2)) -1)
(fma.f64 (+.f64 (pow.f64 (neg.f64 x) -1/2) 1) (-.f64 (pow.f64 (neg.f64 x) -1/2) 1) 1)
(+.f64 0 (pow.f64 (neg.f64 x) 7))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7))) 1)
(*.f64 1 (pow.f64 (neg.f64 x) 7))
(*.f64 (pow.f64 (neg.f64 x) 7) 1)
(*.f64 (pow.f64 (pow.f64 x -2) -7/6) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 x) 14)) (pow.f64 (pow.f64 x -2) -7/6))
(*.f64 (pow.f64 (neg.f64 x) 7/2) (pow.f64 (neg.f64 x) 7/2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) -14) (pow.f64 (pow.f64 x -2) -7/6))
(sqrt.f64 (pow.f64 (neg.f64 x) 14))
(log.f64 (exp.f64 (pow.f64 (neg.f64 x) 7)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (neg.f64 x) 7))))
(cbrt.f64 (pow.f64 (/.f64 -1 x) -21))
(expm1.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7)))
(log1p.f64 (expm1.f64 (pow.f64 (neg.f64 x) 7)))
(exp.f64 (log.f64 (pow.f64 (neg.f64 x) 7)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 x) 7)) 1))
(+.f64 0 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 x) -7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 x) -7)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 x) -7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 x) -7)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 1)
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (pow.f64 x -2) -7/6)) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (pow.f64 x -2) -7/6)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) -7)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) -7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 (neg.f64 x) 7))))
(*.f64 (pow.f64 (neg.f64 x) -7) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 x -2) -7/6) -2) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 x -2) -7/6)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (pow.f64 x -2) -7/6)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (pow.f64 x -2) -7/6)))
(*.f64 (pow.f64 (/.f64 -1 x) 7/2) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7/2)))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 1)
(pow.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (pow.f64 x -2) -7/6)) 3)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) 2)
(pow.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) -1)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (neg.f64 x) 7))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 x) -7)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 1))

Outputs
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(/.f64 -1 x)
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 x 7))
(neg.f64 (pow.f64 x 7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(*.f64 -1 (pow.f64 (/.f64 1 x) -7))
(neg.f64 (pow.f64 (/.f64 1 x) -7))
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(pow.f64 (/.f64 -1 x) -7)
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(*.f64 (pow.f64 x -7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(*.f64 (pow.f64 x -7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(*.f64 (pow.f64 x -7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7)))
(*.f64 (pow.f64 x -7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (/.f64 1 x) 7)))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (/.f64 1 x) 7)))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (/.f64 1 x) 7)))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 1 x) 7)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (/.f64 1 x) 7)))
(*.f64 (pow.f64 (/.f64 1 x) 7) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) 7))
(-.f64 (/.f64 -1 x) 0)
(/.f64 -1 x)
(-.f64 (+.f64 1 (/.f64 -1 x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (/.f64 -1 x)) 1)) (/.f64 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2) (+.f64 (-.f64 1 (/.f64 -1 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (+.f64 1 (-.f64 1 (/.f64 -1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (-.f64 2 (/.f64 -1 x)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (+.f64 (/.f64 -1 x) -2))
(*.f64 1 (/.f64 -1 x))
(/.f64 -1 x)
(*.f64 -1 (/.f64 1 x))
(/.f64 -1 x)
(.f64 -1 (.f64 (/.f64 1 x) 1))
(/.f64 -1 x)
(*.f64 (/.f64 -1 x) 1)
(/.f64 -1 x)
(*.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 -1 (cbrt.f64 x)) 1))
(*.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(*.f64 (pow.f64 (neg.f64 x) -1/2) (pow.f64 (neg.f64 x) -1/2))
(/.f64 -1 x)
(.f64 (pow.f64 (neg.f64 x) -1/2) (.f64 (pow.f64 (neg.f64 x) -1/2) 1))
(/.f64 -1 x)
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (/.f64 1 (fma.f64 (+.f64 -1 (/.f64 -1 x)) (-.f64 (+.f64 -1 (/.f64 -1 x)) 1) 1)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (/.f64 1 (fma.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 -1 (-.f64 (/.f64 -1 x) 1)) 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (fma.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 -1 x) -2) 1))
(*.f64 (/.f64 1 x) -1)
(/.f64 -1 x)
(*.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 -1 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (+.f64 1 (-.f64 1 (/.f64 -1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (-.f64 2 (/.f64 -1 x)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (+.f64 (/.f64 -1 x) -2))
(/.f64 1 (neg.f64 x))
(/.f64 -1 x)
(/.f64 1 (/.f64 (fma.f64 (+.f64 -1 (/.f64 -1 x)) (-.f64 (+.f64 -1 (/.f64 -1 x)) 1) 1) (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (/.f64 1 (fma.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 -1 (-.f64 (/.f64 -1 x) 1)) 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 3)) (fma.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 -1 x) -2) 1))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 -1 x)) 1) (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 x)) 2)) (+.f64 1 (-.f64 1 (/.f64 -1 x))))
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(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))
(*.f64 (pow.f64 (pow.f64 (pow.f64 x -2) -7/6) -2) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 x -2) -7/6)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 x -2) -7/6) -2)) (pow.f64 (pow.f64 x -2) -7/6))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (pow.f64 x -2) -7/6)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (pow.f64 x -2) -7/6)) (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (neg.f64 x) 14))))
(/.f64 (/.f64 (pow.f64 (PI.f64) 1/6) (/.f64 (pow.f64 (pow.f64 x -2) -7/6) (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 (neg.f64 x) 14))) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (pow.f64 x -2) -7/6)))
(/.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (pow.f64 x -2) -7/6))) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(/.f64 (/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 x -2) -7/6)) (cbrt.f64 (pow.f64 (neg.f64 x) 14)))
(/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (pow.f64 x -2) -7/6) (cbrt.f64 (pow.f64 (neg.f64 x) 14))))
(*.f64 (pow.f64 (/.f64 -1 x) 7/2) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)))
(/.f64 (pow.f64 (/.f64 -1 x) 7/2) (/.f64 (pow.f64 (neg.f64 x) 7/2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7/2)) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7/2)))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (neg.f64 x) 7)))
(/.f64 (pow.f64 (PI.f64) 1/6) (/.f64 (pow.f64 (neg.f64 x) 7) (cbrt.f64 (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 1)
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(pow.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)) 1/2)
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 3) 1/3)
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (pow.f64 x -2) -7/6)) 3)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) 2)
(/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 (neg.f64 x) 7))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))
(pow.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) -1)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) 2)
(/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 (neg.f64 x) 7))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))
(pow.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) 7) (sqrt.f64 (PI.f64))) 1) -1)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) 2)
(/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 (neg.f64 x) 7))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 (neg.f64 x) 7))))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (neg.f64 x) 7/2)) 2)
(/.f64 (pow.f64 (PI.f64) 1/2) (pow.f64 (neg.f64 x) 7))
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 x) -7)))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (neg.f64 x) -7)))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) -7))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14))) 3))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))) 1))
(sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))

eval244.0ms (2.9%)

Compiler: Compiled 11215 to 7798 computations (30.5% saved)

prune163.0ms (1.9%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	636	12	648
Fresh	4	6	10
Picked	1	0	1
Done	0	8	8
Total	641	26	667

Error

Counts

667 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	54.1b	(fabs.f64 (/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
✓	7.1b	(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
	54.2b	(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 (/.f64 1 x) -7)) (sqrt.f64 (PI.f64))))
	54.1b	(fabs.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
✓	7.0b	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
	60.0b	(fabs.f64 (/.f64 x (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 3/2 x) x))))
	60.0b	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (/.f64 1 x) 3/2) x))))
	60.0b	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))))
	60.0b	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (.f64 x x) 3/2)))))
	60.0b	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (/.f64 1 x) x) 3/2))))
✓	60.0b	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 1 (*.f64 x x)) 3/2))))
	60.0b	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 3/2))))
✓	7.3b	(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
	7.3b	(fabs.f64 (/.f64 2 (*.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))))
	55.1b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (neg.f64 x) -3) -7/3))))
	59.6b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 x) 1) 2) -1) (+.f64 2 (/.f64 -1 x))) -7))))
	59.5b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 (+.f64 1 (/.f64 -1 x)) 1) -7))))
	59.7b	(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (log.f64 (/.f64 1 (exp.f64 (/.f64 1 x)))) -7))))
	54.9b	(fabs.f64 (/.f64 -1/21 (exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 (pow.f64 (neg.f64 x) 7))))))
	0.3b	(fabs.f64 (.f64 (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.f64 1/21 (pow.f64 x 7)))) (pow.f64 (PI.f64) -1/2)))
✓	54.1b	(fabs.f64 (*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
	54.4b	(fabs.f64 (*.f64 (pow.f64 x 7) (-.f64 (+.f64 1 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) 1)))
✓	6.7b	(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
✓	0.2b	(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
✓	0.1b	(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
	33.8b	(fabs.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 x x))))

Compiler

Compiled 365 to 311 computations (14.8% saved)

regimes154.0ms (1.8%)

Counts

54 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (.f64 (.f64 x x) (/.f64 4 (PI.f64)))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 x x))))
(fabs.f64 (/.f64 2 (*.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))))
(fabs.f64 (/.f64 x (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 3/2 x) x))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (.f64 x 2/3)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 1 (*.f64 x x)) 3/2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (/.f64 1 x) x) 3/2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (.f64 x x) 3/2)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (/.f64 1 x) 3/2) x))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 3/2))))
(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(fabs.f64 (*.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1/21))
(fabs.f64 (*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(fabs.f64 (sqrt.f64 (*.f64 (pow.f64 (neg.f64 x) 14) (/.f64 1/441 (PI.f64)))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 (/.f64 1 x) -7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(fabs.f64 (*.f64 (pow.f64 x 7) (-.f64 (+.f64 1 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) 1)))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 (+.f64 1 (/.f64 -1 x)) 1) -7))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 x -2) -7/2))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 7 (log.f64 (neg.f64 x)))))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (neg.f64 x) -3) -7/3))))
(fabs.f64 (/.f64 -1/21 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 x) 1) 2) -1) (+.f64 2 (/.f64 -1 x))) -7))))
(fabs.f64 (/.f64 -1/21 (exp.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (expm1.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7))))))
(fabs.f64 (/.f64 -1/21 (exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 (pow.f64 (neg.f64 x) 7))))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (log.f64 (/.f64 1 (exp.f64 (/.f64 1 x)))) -7))))
(.f64 (/.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)) (sqrt.f64 (PI.f64))) x)
(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 (/.f64 1 x) -4)) (.f64 1/21 (pow.f64 (/.f64 1 x) -6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 x 2 (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (fma.f64 2 x (fma.f64 1/5 (pow.f64 x 5) (.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 (.f64 x (.f64 x 2/3)) (*.f64 1/21 (pow.f64 x 7)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 x (/.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)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (neg.f64 x) (/.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))))
(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 (/.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 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 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))

Calls

5 calls:

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)))))
25.0ms	(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))))))
23.0ms	(fabs.f64 x)
23.0ms	(+.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))))
23.0ms	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 1080 to 645 computations (40.3% saved)

regimes53.0ms (0.6%)

Counts

40 → 2

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (.f64 (.f64 x x) (/.f64 4 (PI.f64)))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 x x))))
(fabs.f64 (/.f64 2 (*.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))))
(fabs.f64 (/.f64 x (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 3/2 x) x))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (.f64 x 2/3)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 1 (*.f64 x x)) 3/2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (/.f64 1 x) x) 3/2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (.f64 x x) 3/2)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (/.f64 1 x) 3/2) x))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 3/2))))
(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(fabs.f64 (*.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1/21))
(fabs.f64 (*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(fabs.f64 (sqrt.f64 (*.f64 (pow.f64 (neg.f64 x) 14) (/.f64 1/441 (PI.f64)))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (neg.f64 x) 7))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 -1 x) -7))))
(fabs.f64 (/.f64 (*.f64 1/21 (pow.f64 (/.f64 1 x) -7)) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 2/3 (*.f64 x x) 2))))
(fabs.f64 (*.f64 (pow.f64 x 7) (-.f64 (+.f64 1 (/.f64 -1/21 (sqrt.f64 (PI.f64)))) 1)))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 1 (-.f64 (/.f64 -1 x) 1)) -7))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 (+.f64 1 (/.f64 -1 x)) 1) -7))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 x -2) -7/2))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 7 (log.f64 (neg.f64 x)))))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (neg.f64 x) -3) -7/3))))
(fabs.f64 (/.f64 -1/21 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (/.f64 -1 x) -21)))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) -7)))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 x) 1) 2) -1) (+.f64 2 (/.f64 -1 x))) -7))))
(fabs.f64 (/.f64 -1/21 (exp.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (pow.f64 (neg.f64 x) 14)))))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (expm1.f64 (log1p.f64 (pow.f64 (neg.f64 x) 7))))))
(fabs.f64 (/.f64 -1/21 (exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1/2) (log.f64 (pow.f64 (neg.f64 x) 7))))))
(fabs.f64 (/.f64 -1/21 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (log.f64 (/.f64 1 (exp.f64 (/.f64 1 x)))) -7))))
(.f64 (/.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)) (sqrt.f64 (PI.f64))) x)

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

Calls

1 calls:

40.0ms

Results

Error	Segments	Branch
0.5b	2	`x`

Compiler

Compiled 476 to 323 computations (32.1% saved)

bsearch39.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	-93.69208945117254	-2.867618395012973e-11

Results

36.0ms

160×

body

256

valid

Compiler

Compiled 272 to 214 computations (21.3% saved)

regimes27.0ms (0.3%)

Counts

20 → 2

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (.f64 (.f64 x x) (/.f64 4 (PI.f64)))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 x x))))
(fabs.f64 (/.f64 2 (*.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))))
(fabs.f64 (/.f64 x (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 3/2 x) x))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (.f64 x 2/3)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 1 (*.f64 x x)) 3/2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (/.f64 1 x) x) 3/2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (.f64 x x) 3/2)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (/.f64 1 x) 3/2) x))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 3/2))))
(fabs.f64 (*.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 1/21 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))
(fabs.f64 (*.f64 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1/21))
(fabs.f64 (*.f64 (pow.f64 x 7) (/.f64 -1/21 (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (*.f64 -1/21 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.5b	2	`x`

Compiler

Compiled 209 to 127 computations (39.2% saved)

bsearch43.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	-93.69208945117254	-2.867618395012973e-11

Results

40.0ms

160×

body

256

valid

Compiler

Compiled 272 to 214 computations (21.3% saved)

regimes11.0ms (0.1%)

Accuracy

Total -53.4b remaining (-795%)

Threshold costs -53.4b (-795%)

Counts

15 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 2 (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (.f64 (.f64 x x) (/.f64 4 (PI.f64)))))
(fabs.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 x x))))
(fabs.f64 (/.f64 2 (*.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 3/2 (.f64 x x)))))
(fabs.f64 (/.f64 x (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 3/2 x) x))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (.f64 x 2/3)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 1 (*.f64 x x)) 3/2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (/.f64 1 x) x) 3/2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (/.f64 (.f64 x x) 3/2)))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (/.f64 1 x) 3/2) x))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 2/3 (.f64 x x)) 2))))
(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 3/2))))

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
6.7b	1	`x`

Compiler

Compiled 164 to 97 computations (40.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`fabs-mul_binary64`
5×	`*-commutative_binary64`
5×	`fabs-div_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	115
1	58	115
2	70	115

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
(if (<=.f64 x -4165829655317709/2251799813685248) (fabs.f64 (/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) (fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)))
(if (<=.f64 x -4165829655317709/2251799813685248) (fabs.f64 (.f64 1/21 (/.f64 (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))

Outputs
(fabs.f64 (.f64 x (/.f64 (+.f64 (+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (PI.f64)))))
(if (<=.f64 x -4165829655317709/2251799813685248) (fabs.f64 (/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) (fabs.f64 (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)))
(if (<=.f64 x -4165829655317709/2251799813685248) (fabs.f64 (/.f64 (/.f64 -1/21 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) (fabs.f64 (*.f64 x (/.f64 2 (sqrt.f64 (PI.f64))))))
(if (<=.f64 x -4165829655317709/2251799813685248) (fabs.f64 (.f64 1/21 (/.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) x)))
(if (<=.f64 x -4165829655317709/2251799813685248) (.f64 1/21 (fabs.f64 (/.f64 (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)))))

Compiler

Compiled 75 to 59 computations (21.3% saved)

soundness205.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 1831 to 997 computations (45.5% saved)

end49.0ms (0.6%)

Compiler: Compiled 72 to 50 computations (30.6% saved)