Details

analyze12.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	12.5%	87.5%	3
0%	6.3%	93.7%	4
0%	3.1%	96.9%	5
0%	1.6%	98.4%	6
0%	0.8%	99.2%	7
0%	0.4%	99.6%	8
0.1%	0.2%	99.7%	9
0.1%	0.1%	99.8%	10
0.1%	0%	99.8%	11
0.1%	0%	99.8%	12

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample3.7s (28.3%)

Results

3.2s	8256×	body	256	valid
412.0ms	1182×	body	256	invalid

preprocess126.0ms (1%)

Algorithm

2×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
626×	`associate-*l/_binary64`
457×	`associate-*r/_binary64`
381×	`associate-/l*_binary64`
366×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	305	58
3	1481	52
4	5347	49
5	6262	47
6	7256	47
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Outputs
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (.f64 (exp.f64 (.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 1/2 (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (.f64 3/4 (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))))) (.f64 15/8 (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))))))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (fabs.f64 x))) (fma.f64 3/4 (/.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 1/2 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (/.f64 1 (fabs.f64 x))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (fabs.f64 x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Compiler

Compiled 105 to 70 computations (33.3% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
626×	`associate-*l/_binary64`
457×	`associate-*r/_binary64`
381×	`associate-/l*_binary64`
366×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	305	58
3	1481	52
4	5347	49
5	6262	47
6	7256	47

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Outputs
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (.f64 (exp.f64 (.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 1/2 (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (.f64 3/4 (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))))) (.f64 15/8 (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))))))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (fabs.f64 x))) (fma.f64 3/4 (/.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 1/2 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (/.f64 1 (fabs.f64 x))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (fabs.f64 x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

eval2.0ms (0%)

Compiler: Compiled 134 to 87 computations (35.1% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.7b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
▶	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Status

Error

Program

▶

2.7b

(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

▶

1.2b

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))))

Compiler

Compiled 135 to 91 computations (32.6% saved)

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.1b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
✓	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(pow.f64 (exp.f64 x) x)

series8.0ms (0.1%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
2.0ms	x	@	0	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
1.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
1.0ms	x	@	0	(pow.f64 (exp.f64 x) x)
1.0ms	x	@	0	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))

rewrite202.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`log1p-udef_binary64`
266×	`add-sqr-sqrt_binary64`
254×	`pow1_binary64`
253×	`*-un-lft-identity_binary64`
251×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	531	64
2	7862	64

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

Inputs
(pow.f64 (exp.f64 x) x)
(sqrt.f64 (PI.f64))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))))
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simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

659×	`associate-/l*_binary64`
445×	`sqr-pow_binary64`
442×	`pow-sqr_binary64`
357×	`fma-def_binary64`
348×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	71	1001
1	181	888
2	550	736
3	2542	661
4	4419	651
5	5103	651
6	5456	651
7	6336	651
8	6921	635
9	7755	635

Stop Event

1×	node limit

Counts

169 → 163

Calls

Call 1

Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(/.f64 3/4 (pow.f64 x 4))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))

Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 (+.f64 1 (.f64 x x)) (.f64 1/2 (pow.f64 x 4)))
(+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1)))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (pow.f64 x 6) (fabs.f64 x))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (.f64 (pow.f64 x 6) (fabs.f64 x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (.f64 x (pow.f64 x 6))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
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(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (.f64 x (pow.f64 x 4))) (/.f64 15/8 (*.f64 x (pow.f64 x 6)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
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(fma.f64 21/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 x 4) (fabs.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (pow.f64 x 6) (fabs.f64 x))) (/.f64 35/16 (.f64 (*.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (.f64 x (pow.f64 x 4))) (+.f64 (/.f64 15/8 (*.f64 x (pow.f64 x 6))) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
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(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
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(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
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(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
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(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 4) (fabs.f64 x)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 x x) (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 (/.f64 3/4 (*.f64 x x)) 1/2))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 3/4 (pow.f64 x 4))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
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(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 x x) (fabs.f64 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (pow.f64 x 4) (fabs.f64 x)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (*.f64 x x) (fabs.f64 x)))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 4) (fabs.f64 x)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 x x) (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 (/.f64 3/4 (*.f64 x x)) 1/2))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 3/4 (pow.f64 x 4))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (pow.f64 x 4) (fabs.f64 x)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x)))) (.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (pow.f64 x 6) (fabs.f64 x))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 x x) (fabs.f64 x)))) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 6) (fabs.f64 x)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 3/4 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 x 4) (fabs.f64 x))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 15/8 (pow.f64 x 4)))) (*.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
(/.f64 3/4 (pow.f64 x 4))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))

localize29.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))
	0.3b	(.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))
	0.2b	(+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))
	0.2b	(+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))
✓	0.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
✓	0.5b	(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
	1.0b	(sqrt.f64 (PI.f64))
✓	2.5b	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

series32.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
9.0ms	x	@	inf	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
6.0ms	x	@	0	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
1.0ms	x	@	0	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
1.0ms	x	@	inf	(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

331×	`add-sqr-sqrt_binary64`
316×	`*-un-lft-identity_binary64`
316×	`pow1_binary64`
311×	`add-cbrt-cube_binary64`
309×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	102
1	711	58

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Inputs

(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))

(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Outputs
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Outputs

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x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) 3) (pow.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))) 3) (pow.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (*.f64 x x) (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 (*.f64 x x) (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))))))

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-l_binary64`
737×	`associate-*l/_binary64`
706×	`times-frac_binary64`
654×	`associate-*r/_binary64`
584×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	900
1	91	828
2	216	828
3	734	828
4	2400	828

Stop Event

1×	node limit

Counts

111 → 80

Calls

Call 1

Inputs
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))

Outputs
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 (fabs.f64 x) 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 (fabs.f64 x) 2))
(/.f64 1 (*.f64 x x))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (/.f64 1 (fabs.f64 x))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (.f64 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 (fabs.f64 x) 7))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (fabs.f64 x) 3))) (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5)))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x))))) (.f64 (exp.f64 (pow.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (/.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 15/8 (pow.f64 (fabs.f64 x) 7))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))

eval581.0ms (4.5%)

Compiler: Compiled 21203 to 13046 computations (38.5% saved)

prune230.0ms (1.8%)

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	283	43	326
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	284	44	328

Error

0.3b

Counts

328 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	3.1b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 3)
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	1.4b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))
	10.4b	(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
	1.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (*.f64 (/.f64 1 x) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) x)))))
	9.2b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	48.4b	(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
	1.2b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64)))
	2.9b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (sqrt.f64 (PI.f64))) x)
▶	1.2b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	55.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))
	1.7b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.9b	(exp.f64 (+.f64 (-.f64 (.f64 x x) (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))
	55.8b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
	2.6b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (+.f64 (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)) (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	3.1b	(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	3.0b	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64))))))
	56.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
	3.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
▶	10.4b	(pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3) 1/3)
	2.8b	(+.f64 (.f64 (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))) (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64)))) (.f64 (.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
	2.8b	(pow.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 1)
▶	56.7b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
	1.6b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	4.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	2.9b	(/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64))))
	2.7b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	2.8b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))
	56.7b	(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
	1.2b	(/.f64 (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2)) (.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
▶	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
▶	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	41.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
✓	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (E.f64) (.f64 x x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	2.6b	(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1))))
	7.0b	(.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	10.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 1/3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Compiler

Compiled 3579 to 2596 computations (27.5% saved)

localize41.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))
	0.2b	(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
	0.2b	(/.f64 3/4 (pow.f64 x 4))
	0.1b	(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))
✓	0.3b	(/.f64 15/8 (pow.f64 x 6))
✓	0.3b	(/.f64 1/2 (*.f64 x x))
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
	1.0b	(pow.f64 (exp.f64 x) x)

series6.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
1.0ms	x	@	0	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
1.0ms	x	@	0	(/.f64 15/8 (pow.f64 x 6))
1.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
1.0ms	x	@	0	(/.f64 1/2 (*.f64 x x))

rewrite148.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

404×	`log1p-udef_binary64`
245×	`add-sqr-sqrt_binary64`
236×	`add-log-exp_binary64`
234×	`log1p-expm1-u_binary64`
234×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	498	49
2	7319	49

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(/.f64 1/2 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) 1/2) (pow.f64 x 3)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))))) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) 1/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 (exp.f64 (*.f64 x x)) x)) (*.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (/.f64 (exp.f64 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) 1/2) (pow.f64 x 3)) 1) (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 1/2 (pow.f64 x -2) 1)) 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(pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) (-.f64 (*.f64 x x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) (-.f64 (*.f64 x x) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (pow.f64 x -2)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 x -2)) (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 15/8 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 15/8 (pow.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 15/8) (*.f64 x x)) (cbrt.f64 (/.f64 225/64 (pow.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 225/64 (pow.f64 x 12))) (/.f64 (cbrt.f64 15/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)) (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -15/8 (/.f64 1 (neg.f64 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -6) 15/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15/8 (pow.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 15/8) (*.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3375/512 (pow.f64 (pow.f64 x 6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 8/15) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 225/64 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 3375/512 (pow.f64 (pow.f64 x 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))) 1))))))

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

873×	`associate-/l*_binary64`
582×	`fma-def_binary64`
517×	`associate-*l/_binary64`
363×	`associate-l_binary64`
327×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	427
1	106	415
2	256	397
3	623	383
4	1818	377
5	6108	377
6	6890	377
7	7818	377

Stop Event

1×	node limit

Counts

119 → 112

Calls

Call 1

Inputs
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 35/16 (/.f64 1 x)) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (.f64 35/16 (/.f64 1 (pow.f64 x 3))))))
(/.f64 (exp.f64 (pow.f64 x 2)) x)
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(/.f64 (exp.f64 (pow.f64 x 2)) x)
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))

Outputs
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 35/16 (/.f64 1 x)) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (.f64 35/16 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))) (/.f64 35/16 x)))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(/.f64 (exp.f64 (pow.f64 x 2)) x)
(/.f64 (exp.f64 (*.f64 x x)) x)
(/.f64 (pow.f64 (exp.f64 x) x) x)
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))
(fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))))
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))
(fma.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(/.f64 (exp.f64 (pow.f64 x 2)) x)
(/.f64 (exp.f64 (*.f64 x x)) x)
(/.f64 (pow.f64 (exp.f64 x) x) x)
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))
(fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))))
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))
(fma.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 15/8 (pow.f64 x 7))
	0.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
✓	0.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
✓	0.3b	(/.f64 15/8 (pow.f64 x 7))

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
1.0ms	x	@	0	(/.f64 15/8 (pow.f64 x 7))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
0.0ms	x	@	-inf	(/.f64 15/8 (pow.f64 x 7))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log-prod_binary64`
359×	`exp-prod_binary64`
343×	`prod-exp_binary64`
272×	`pow-prod-down_binary64`
272×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	235	20
2	2717	20

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(/.f64 15/8 (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 15/8 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 15/8 (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 15/8 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 15/8 (pow.f64 x -7))) (cbrt.f64 (*.f64 225/64 (pow.f64 x -14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 225/64 (pow.f64 x -14))) (cbrt.f64 (*.f64 15/8 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 7/2)) (/.f64 (sqrt.f64 15/8) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -15/8 (/.f64 1 (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) 15/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15/8 (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 15/8 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 225/64 (pow.f64 x -14)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 15/8 (pow.f64 x -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 15/8 (pow.f64 x -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) 8/15) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 7) 8/15) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7)))) 2)) (cbrt.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))))) (sqrt.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 225/64 (pow.f64 x -14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 15/8 (pow.f64 x -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 15/8 (pow.f64 x -7)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 15/8 (pow.f64 x -7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 7/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7) 8/15)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x 7) 8/15)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (pow.f64 x 7) 8/15))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -15/8 (*.f64 (neg.f64 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -15/8 (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) 1) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 x 14))) (pow.f64 (cbrt.f64 x) 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -15/8 (pow.f64 (PI.f64) -1/2)) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) -15/8) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (PI.f64)) (*.f64 225/64 (pow.f64 x -14))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x 7) 8/15)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (*.f64 225/64 (pow.f64 x -14))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) 1) (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (log.f64 (*.f64 (pow.f64 x 7) 8/15))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (log.f64 (*.f64 (pow.f64 x 7) 8/15))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) 1) (*.f64 -1/2 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) 1) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) 1) (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (log.f64 (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (log.f64 (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/2 (log.f64 (PI.f64))) (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -7))) 1)))))))

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

867×	`associate-/l/_binary64`
822×	`unswap-sqr_binary64`
570×	`sqr-pow_binary64`
482×	`*-commutative_binary64`
405×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	228
1	25	192
2	51	192
3	135	192
4	442	192
5	2021	192
6	2244	192
7	2583	192
8	3894	192
9	4005	192
10	4174	192
11	5758	192
12	6110	192
13	6597	192
14	7452	192

Stop Event

1×	node limit

Counts

104 → 94

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))

localize24.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.1b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	1.0b	(cbrt.f64 (pow.f64 (PI.f64) 3/2))
	1.0b	(pow.f64 (exp.f64 x) x)

series2.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))))

0.0ms

inf

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))))

0.0ms

-inf

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

286×	`add-sqr-sqrt_binary64`
272×	`pow1_binary64`
271×	`add-log-exp_binary64`
270×	`*-un-lft-identity_binary64`
269×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	57
1	575	44

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs

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

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (*.f64 15/8 (pow.f64 x -6))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (*.f64 (*.f64 (fma.f64 3/4 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(pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 (sqrt.f64 (PI.f64)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)) (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3)) (pow.f64 (exp.f64 x) x)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 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((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2)) 1) (*.f64 (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3)) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2)) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 (-.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 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simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

609×	`associate-/l*_binary64`
597×	`distribute-rgt-out_binary64`
437×	`pow-sqr_binary64`
428×	`sqr-pow_binary64`
419×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	741
1	147	634
2	464	486
3	2230	411
4	3955	401
5	4769	385
6	5619	385
7	6099	385
8	6687	385
9	7525	385

Stop Event

1×	node limit

Counts

97 → 101

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 6)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 15/8 x) (pow.f64 x 6)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4)))) (.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 21/8 (*.f64 (fabs.f64 x) (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (/.f64 21/8 x) (pow.f64 x 4)) (/.f64 (/.f64 15/8 x) (pow.f64 x 6))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (.f64 x x)))))))
(fma.f64 21/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (fabs.f64 x) (pow.f64 x 4))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 35/16 (.f64 (fabs.f64 x) (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (/.f64 21/8 x) (pow.f64 x 4)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 (/.f64 15/8 x) (pow.f64 x 6)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 15/8 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 35/16 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 35/16 (fabs.f64 x)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 21/8 (.f64 (fabs.f64 x) (pow.f64 x 4))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)) (+.f64 (/.f64 (/.f64 21/8 x) (pow.f64 x 4)) (/.f64 (/.f64 15/8 x) (pow.f64 x 6)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
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(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (*.f64 x x)))))))
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(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 3/4 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 3/4 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
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(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (pow.f64 x 6)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 4)) (fabs.f64 x))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
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(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 15/8 (pow.f64 x 4)))) (*.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) (/.f64 (pow.f64 x 7) 15/8)) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 3/4 (pow.f64 x 4))))))
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(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
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(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (pow.f64 x 6))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (pow.f64 x 6)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 4)) (fabs.f64 x))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))) (/.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 15/8 (pow.f64 x 4)))) (*.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) (/.f64 (pow.f64 x 7) 15/8)) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 3/4 (pow.f64 x 4))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 3/4 (pow.f64 x 4))) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
	0.2b	(fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))
	0.1b	(fma.f64 3/4 (pow.f64 x -2) 1/2)
	0.1b	(+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))
✓	0.4b	(.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (neg.f64 (pow.f64 (exp.f64 x) x)))
✓	0.4b	(*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

series44.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))
1.0ms	x	@	inf	(*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))
1.0ms	x	@	-inf	(*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))
1.0ms	x	@	inf	(.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (neg.f64 (pow.f64 (exp.f64 x) x)))
1.0ms	x	@	0	(.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (neg.f64 (pow.f64 (exp.f64 x) x)))

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`log-prod_binary64`
293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`
284×	`fma-def_binary64`
263×	`pow3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	382	45
2	4430	43

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))
(.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (neg.f64 (pow.f64 (exp.f64 x) x)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 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#<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) 3)) (pow.f64 (exp.f64 x) x)) (fma.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) (-.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) 2)) (pow.f64 (exp.f64 x) x)) (-.f64 1 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (pow.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) 3))) (fma.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) (-.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 1 (pow.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) 2))) (-.f64 1 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) 1)) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))))))))) (#(struct:change 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fma.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x) (*.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x) (*.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x) (*.f64 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x)) (*.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x x)) x))) (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x x)) x))) (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))))))

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

475×	`distribute-neg-frac_binary64`
443×	`associate-/r*_binary64`
425×	`associate-/r/_binary64`
353×	`fma-def_binary64`
309×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	491
1	134	485
2	365	461
3	1102	441
4	4197	419
5	7665	419

Stop Event

1×	node limit

Counts

109 → 105

Calls

Call 1

Inputs
(/.f64 3/4 (pow.f64 x 4))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 -15/8 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 35/16 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4)))))))
(*.f64 -1 (exp.f64 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (exp.f64 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (*.f64 -1 (exp.f64 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (.f64 -1 (exp.f64 (pow.f64 x 2))))))
(*.f64 -1 (exp.f64 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (exp.f64 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (*.f64 -1 (exp.f64 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (.f64 -1 (exp.f64 (pow.f64 x 2))))))

Outputs
(/.f64 3/4 (pow.f64 x 4))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(/.f64 -15/8 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))
(-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))
(+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 35/16 (*.f64 x x)) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(+.f64 (/.f64 -35/16 (*.f64 x x)) (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))
(+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -35/16 (*.f64 x x))))
(+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x)))
(neg.f64 (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 35/16 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 35/16 (*.f64 x x)) (+.f64 35/16 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(+.f64 (/.f64 -35/16 (*.f64 x x)) (+.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) -35/16))
(+.f64 (/.f64 -35/16 (*.f64 x x)) (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) -35/16)))
(+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16)))
(*.f64 -1 (exp.f64 (pow.f64 x 2)))
(neg.f64 (exp.f64 (*.f64 x x)))
(neg.f64 (pow.f64 (exp.f64 x) x))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (exp.f64 (pow.f64 x 2))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (neg.f64 (exp.f64 (*.f64 x x))))
(-.f64 (/.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 x) x))) (pow.f64 (exp.f64 x) x))
(-.f64 (.f64 (/.f64 -1/2 (.f64 x x)) (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 -1/2 (.f64 x x)) -1))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (*.f64 -1 (exp.f64 (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 -3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (neg.f64 (exp.f64 (.f64 x x)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (-.f64 (/.f64 -3/4 (/.f64 (pow.f64 x 4) (pow.f64 (exp.f64 x) x))) (pow.f64 (exp.f64 x) x)))
(-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -3/4 (*.f64 x x)) -1/2)) (pow.f64 (exp.f64 x) x))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 -1/2 (/.f64 -3/4 (.f64 x x))) (neg.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (.f64 -1 (exp.f64 (pow.f64 x 2))))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 -15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (fma.f64 -3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (neg.f64 (exp.f64 (*.f64 x x))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (fma.f64 -15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (-.f64 (/.f64 -3/4 (/.f64 (pow.f64 x 4) (pow.f64 (exp.f64 x) x))) (pow.f64 (exp.f64 x) x))))
(fma.f64 -15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -3/4 (*.f64 x x)) -1/2)) (pow.f64 (exp.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 -1/2 (/.f64 -3/4 (.f64 x x))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -15/8 (pow.f64 x 6)))))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x)))))
(*.f64 -1 (exp.f64 (pow.f64 x 2)))
(neg.f64 (exp.f64 (*.f64 x x)))
(neg.f64 (pow.f64 (exp.f64 x) x))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (exp.f64 (pow.f64 x 2))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (neg.f64 (exp.f64 (*.f64 x x))))
(-.f64 (/.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 x) x))) (pow.f64 (exp.f64 x) x))
(-.f64 (.f64 (/.f64 -1/2 (.f64 x x)) (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 -1/2 (.f64 x x)) -1))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (*.f64 -1 (exp.f64 (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 -3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (neg.f64 (exp.f64 (.f64 x x)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (-.f64 (/.f64 -3/4 (/.f64 (pow.f64 x 4) (pow.f64 (exp.f64 x) x))) (pow.f64 (exp.f64 x) x)))
(-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -3/4 (*.f64 x x)) -1/2)) (pow.f64 (exp.f64 x) x))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 -1/2 (/.f64 -3/4 (.f64 x x))) (neg.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (.f64 -1 (exp.f64 (pow.f64 x 2))))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 -15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (fma.f64 -3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (neg.f64 (exp.f64 (*.f64 x x))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (fma.f64 -15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (-.f64 (/.f64 -3/4 (/.f64 (pow.f64 x 4) (pow.f64 (exp.f64 x) x))) (pow.f64 (exp.f64 x) x))))
(fma.f64 -15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -3/4 (*.f64 x x)) -1/2)) (pow.f64 (exp.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 -1/2 (/.f64 -3/4 (.f64 x x))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -15/8 (pow.f64 x 6)))))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x)))))

localize24.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))
	0.2b	(fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))
	0.2b	(/.f64 (pow.f64 (/.f64 1 x) 6) x)
	0.2b	(fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))
✓	1.1b	(pow.f64 (/.f64 1 x) 5)
✓	1.2b	(pow.f64 (/.f64 1 x) 6)
✓	2.5b	(exp.f64 (*.f64 x x))
✓	9.8b	(pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3) 1/3)

series36.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3) 1/3)
8.0ms	x	@	0	(pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3) 1/3)
8.0ms	x	@	inf	(pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3) 1/3)
1.0ms	x	@	-inf	(pow.f64 (/.f64 1 x) 6)
1.0ms	x	@	0	(pow.f64 (/.f64 1 x) 6)

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

421×	`expm1-udef_binary64`
421×	`log1p-udef_binary64`
277×	`prod-diff_binary64`
264×	`add-sqr-sqrt_binary64`
252×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	68
1	587	56
2	6478	56

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3) 1/3)
(exp.f64 (*.f64 x x))
(pow.f64 (/.f64 1 x) 6)
(pow.f64 (/.f64 1 x) 5)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 15/8 (pow.f64 x -6)) x) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 (.f64 15/8 (pow.f64 x -6)) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) (pow.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) 2) (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 2) (.f64 (cbrt.f64 (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (PI.f64))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x 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((#(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 -2) (pow.f64 (pow.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (.f64 (/.f64 1 x) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x -2) 2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -3/2) (.f64 (pow.f64 x -3/2) (pow.f64 x -3)))))) (#(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 (cbrt.f64 (/.f64 1 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 -3) (pow.f64 x -3/2)) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x -3) (pow.f64 x -2)) (/.f64 1 x))))) (#(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 (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -5)) (pow.f64 (cbrt.f64 (pow.f64 x -5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x -5)) 2) (cbrt.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -5/2) (pow.f64 x -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 5) (pow.f64 (cbrt.f64 (/.f64 1 x)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x -1/2) 5) (pow.f64 (pow.f64 x -1/2) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 x) 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x -5)) 1))))))

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

774×	`distribute-rgt-in_binary64`
767×	`distribute-lft-in_binary64`
260×	`cancel-sign-sub-inv_binary64`
206×	`associate-r_binary64`
194×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2575
1	727	2465
2	3366	2191

Stop Event

1×	node limit

Counts

150 → 135

Calls

Call 1

Inputs
(*.f64 (/.f64 (cbrt.f64 3375/512) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 4725/512 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))) (.f64 4725/256 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (PI.f64)) (.f64 (pow.f64 (cbrt.f64 3375/512) 2) (pow.f64 x 5)))) (.f64 (/.f64 (cbrt.f64 3375/512) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 6615/256 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 7875/1024 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))) (.f64 7245/256 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) (.f64 512/10125 (.f64 (pow.f64 (+.f64 (.f64 4725/512 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))) (.f64 4725/256 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) 2) (sqrt.f64 (pow.f64 (PI.f64) 3))))) (PI.f64)) (.f64 (pow.f64 (cbrt.f64 3375/512) 2) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 4725/512 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))) (.f64 4725/256 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (PI.f64)) (.f64 (pow.f64 (cbrt.f64 3375/512) 2) (pow.f64 x 5)))) (.f64 (/.f64 (cbrt.f64 3375/512) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
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(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
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(.f64 -1 (.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 3))))) (.f64 -1 (.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 3))))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -3/4 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 3/2 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64))) (.f64 1/4 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64)))) (exp.f64 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))))) (.f64 -1/3 (.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) 2) (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))) (PI.f64)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 5)))))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 3))))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (.f64 (exp.f64 (pow.f64 x 2)) (+.f64 (.f64 15/4 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64))) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 -3/4 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 -15/8 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (.f64 (.f64 (+.f64 (.f64 3/2 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64))) (.f64 1/4 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64)))) (exp.f64 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) (+.f64 (.f64 -2/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) (-.f64 (+.f64 (.f64 -3/4 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 3/2 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64))) (.f64 1/4 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64)))) (exp.f64 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))))) (.f64 -1/3 (.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) 2) (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))))) (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1/27 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) 3) (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 (exp.f64 (pow.f64 x 2)) 6)))))) (PI.f64)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 7))))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -3/4 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 3/2 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64))) (.f64 1/4 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (PI.f64)))) (exp.f64 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))))) (.f64 -1/3 (.f64 (/.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) 2) (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))) (PI.f64)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 5))))))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))

Outputs
(*.f64 (/.f64 (cbrt.f64 3375/512) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))
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(-.f64 (.f64 -1/3 (+.f64 (.f64 (/.f64 (PI.f64) (.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) -3/2)) (pow.f64 x 3)) (/.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) -21/8)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) 7/4) (PI.f64))) -1/2) (.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) (PI.f64))) -9/2)))) (fma.f64 1/27 (.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 3) -27/8) (pow.f64 (pow.f64 (exp.f64 x) x) 6))) (.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) -3/2)) (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) (PI.f64)) -7/4))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (pow.f64 (exp.f64 x) x) 3)) -5/4)) (.f64 1/3 (/.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 6) (/.f64 1 (pow.f64 (PI.f64) 3))) 9/4) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (PI.f64) 3/2)))))) (.f64 (pow.f64 (PI.f64) 3/2) -2/3)))) (pow.f64 x 7)))) (.f64 (/.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 2 x)) (PI.f64)) -7/4))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (pow.f64 (exp.f64 x) x) 3)) -5/4)) (.f64 1/3 (/.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 6) (/.f64 1 (pow.f64 (PI.f64) 3))) 9/4) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (PI.f64) 3/2))))) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (PI.f64) (.f64 (pow.f64 x 5) (pow.f64 (exp.f64 x) (.f64 2 x))))))) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 -1)) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4))))
(+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 4) (*.f64 x x)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (*.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 4) (*.f64 x x))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))

eval661.0ms (5.1%)

Compiler: Compiled 24967 to 16514 computations (33.9% saved)

prune267.0ms (2%)

Pruning

78 alts after pruning (75 fresh and 3 done)

	Pruned	Kept	Total
New	621	62	683
Fresh	25	13	38
Picked	1	0	1
Done	2	3	5
Total	649	78	727

Error

0.2b

Counts

727 → 78

Alt Table

Click to see full alt table

Status	Error	Program
	44.9b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (-.f64 (exp.f64 (log1p.f64 (.f64 15/8 (pow.f64 x -6)))) 1))))))
	1.4b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
	56.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
	2.9b	(/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 (sqrt.f64 (PI.f64)) x))
▶	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	48.4b	(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
	2.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	48.4b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
	1.9b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (/.f64 x (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))
	56.7b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	48.4b	(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
▶	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	55.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (pow.f64 (/.f64 3375/512 (pow.f64 (pow.f64 x 6) 3)) 1/3))))))
	55.2b	(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	6.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.4b	(.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	55.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
	1.2b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))
	56.7b	(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
	7.0b	(.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1))))
	2.6b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	56.7b	(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
	1.7b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	55.8b	(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	10.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) 3) 1/3))
	41.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
	2.6b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	9.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.8b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.4b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) 1/2) (pow.f64 x 3))))
	56.7b	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
	1.5b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	56.2b	(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	2.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	3.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
▶	56.2b	(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 2) (.f64 (cbrt.f64 (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))
	56.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
	1.6b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	56.7b	(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	48.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
	2.8b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))))
	9.3b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (+.f64 (log.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) (-.f64 (*.f64 x x) (log.f64 x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	56.7b	(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
	56.7b	(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
	1.3b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	11.2b	(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3) 1/3)
✓	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.6b	(.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) 2))
	55.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))))
✓	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
▶	1.2b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	10.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 1/3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	41.7b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
✓	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.7b	(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (E.f64) (.f64 x x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	2.6b	(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	2.9b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (sqrt.f64 (PI.f64))) x)
▶	56.7b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (*.f64 (/.f64 1 x) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) x)))))

Compiler

Compiled 5032 to 3779 computations (24.9% saved)

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 3/4 (pow.f64 x 4))
	0.2b	(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
	0.2b	(fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
	0.1b	(+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))
✓	0.4b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
✓	0.4b	(.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x)))
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
1.0ms	x	@	-inf	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
1.0ms	x	@	0	(.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x)))
0.0ms	x	@	inf	(.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x)))

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

425×	`log1p-udef_binary64`
272×	`add-sqr-sqrt_binary64`
259×	`add-log-exp_binary64`
259×	`pow1_binary64`
257×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	83
1	563	71
2	7851	71

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs

(*.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x)))

(/.f64 (*.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Outputs

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(fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) 2) (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (sqrt.f64 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) 3) (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 1))))))

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

668×	`associate-*l/_binary64`
653×	`fma-neg_binary64`
607×	`associate-/l*_binary64`
476×	`associate-*r/_binary64`
331×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	945
1	233	831
2	711	743
3	2622	703
4	6836	703

Stop Event

1×	node limit

Counts

102 → 109

Calls

Call 1

Inputs
(/.f64 -15/8 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 35/16 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4)))))))
(*.f64 -1 (exp.f64 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (exp.f64 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (*.f64 -1 (exp.f64 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (.f64 -1 (exp.f64 (pow.f64 x 2))))))
(*.f64 -1 (exp.f64 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (exp.f64 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (*.f64 -1 (exp.f64 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (.f64 -1 (exp.f64 (pow.f64 x 2))))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))

Outputs
(/.f64 -15/8 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))
(+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6)))
(-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 35/16 (*.f64 x x)) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -35/16 (*.f64 x x)) (/.f64 -21/8 (pow.f64 x 4))) (/.f64 -15/8 (pow.f64 x 6)))
(+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -35/16 (*.f64 x x))))
(+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 35/16 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 35/16 (*.f64 x x)) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(-.f64 (/.f64 -35/16 (*.f64 x x)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 21/8 (pow.f64 x 4)) 35/16)))
(+.f64 (/.f64 -35/16 (*.f64 x x)) (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) -35/16)))
(+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (*.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6)))))
(*.f64 -1 (exp.f64 (pow.f64 x 2)))
(neg.f64 (exp.f64 (*.f64 x x)))
(neg.f64 (pow.f64 (exp.f64 x) x))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (exp.f64 (pow.f64 x 2))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (neg.f64 (exp.f64 (*.f64 x x))))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x))) (pow.f64 (exp.f64 x) x))
(-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -1/2 x)) (pow.f64 (exp.f64 x) x))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (*.f64 -1 (exp.f64 (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 -3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (neg.f64 (exp.f64 (.f64 x x)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (-.f64 (.f64 -3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 4))) (pow.f64 (exp.f64 x) x)))
(-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -3/4 (*.f64 x x)) -1/2)) (pow.f64 (exp.f64 x) x))
(-.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4)))) (pow.f64 (exp.f64 x) x))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (.f64 -1 (exp.f64 (pow.f64 x 2))))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 -15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (fma.f64 -3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (neg.f64 (exp.f64 (*.f64 x x))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (fma.f64 -15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (-.f64 (.f64 -3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 4))) (pow.f64 (exp.f64 x) x))))
(fma.f64 -15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -3/4 (*.f64 x x)) -1/2)) (pow.f64 (exp.f64 x) x)))
(-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -15/8 (pow.f64 x 4)) (+.f64 -1/2 (/.f64 -3/4 (*.f64 x x))))) (pow.f64 (exp.f64 x) x))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (+.f64 -1/2 (/.f64 -3/4 (.f64 x x))) (/.f64 -15/8 (pow.f64 x 4))) (neg.f64 (pow.f64 (exp.f64 x) x)))
(*.f64 -1 (exp.f64 (pow.f64 x 2)))
(neg.f64 (exp.f64 (*.f64 x x)))
(neg.f64 (pow.f64 (exp.f64 x) x))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (exp.f64 (pow.f64 x 2))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (neg.f64 (exp.f64 (*.f64 x x))))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x))) (pow.f64 (exp.f64 x) x))
(-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -1/2 x)) (pow.f64 (exp.f64 x) x))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x))))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (*.f64 -1 (exp.f64 (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 -3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (neg.f64 (exp.f64 (.f64 x x)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (-.f64 (.f64 -3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 4))) (pow.f64 (exp.f64 x) x)))
(-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -3/4 (*.f64 x x)) -1/2)) (pow.f64 (exp.f64 x) x))
(-.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4)))) (pow.f64 (exp.f64 x) x))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (.f64 -15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))) (.f64 -1 (exp.f64 (pow.f64 x 2))))))
(fma.f64 -1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 -15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (fma.f64 -3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (neg.f64 (exp.f64 (*.f64 x x))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (fma.f64 -15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (-.f64 (.f64 -3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 4))) (pow.f64 (exp.f64 x) x))))
(fma.f64 -15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -3/4 (*.f64 x x)) -1/2)) (pow.f64 (exp.f64 x) x)))
(-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 -15/8 (pow.f64 x 4)) (+.f64 -1/2 (/.f64 -3/4 (*.f64 x x))))) (pow.f64 (exp.f64 x) x))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (+.f64 -1/2 (/.f64 -3/4 (.f64 x x))) (/.f64 -15/8 (pow.f64 x 4))) (neg.f64 (pow.f64 (exp.f64 x) x)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 21/8 (pow.f64 x 5)))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x)))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x)))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (PI.f64))
	0.4b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
✓	0.4b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	1.0b	(sqrt.f64 (PI.f64))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
0.0ms	x	@	-inf	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
0.0ms	x	@	inf	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

443×	`log-prod_binary64`
342×	`exp-prod_binary64`
303×	`prod-exp_binary64`
268×	`cbrt-unprod_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	201	13
2	2525	13

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 15/4) (pow.f64 (PI.f64) -1/2)) (pow.f64 x -7)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 225/64 (PI.f64))) (*.f64 (cbrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) (cbrt.f64 (/.f64 (/.f64 225/64 (PI.f64)) (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 225/64 (PI.f64)) (pow.f64 x 14))) (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -15/8 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 225/64 (PI.f64))) 1) (/.f64 (cbrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) 1) (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (cbrt.f64 x) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 14))) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 x) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 x 14))) (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 x) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (pow.f64 x 7/2)) (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 225/64 (PI.f64))) (pow.f64 x 7/2)) (/.f64 (cbrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 225/64 (PI.f64)) (pow.f64 x 14)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 7) (*.f64 (sqrt.f64 (PI.f64)) 8/15)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) (*.f64 (sqrt.f64 (PI.f64)) 8/15)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) 3) (pow.f64 x 21)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) 8/15) (pow.f64 x 7)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) 15/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 7) (*.f64 (sqrt.f64 (PI.f64)) 8/15)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 225/64 (PI.f64)) (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 7) (*.f64 (sqrt.f64 (PI.f64)) 8/15)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) 3) (pow.f64 x 21)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -15/8 (sqrt.f64 (PI.f64))) 3) (pow.f64 (neg.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 (sqrt.f64 (PI.f64)) 8/15) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 15/8 (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 15/8 (sqrt.f64 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x 7) (*.f64 (sqrt.f64 (PI.f64)) 8/15)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7) (*.f64 (sqrt.f64 (PI.f64)) 8/15))) -1))))))

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

867×	`associate-/l/_binary64`
822×	`unswap-sqr_binary64`
570×	`sqr-pow_binary64`
482×	`*-commutative_binary64`
405×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	228
1	25	192
2	51	192
3	135	192
4	442	192
5	2021	192
6	2244	192
7	2583	192
8	3894	192
9	4005	192
10	4174	192
11	5758	192
12	6110	192
13	6597	192
14	7452	192

Stop Event

1×	node limit

Counts

65 → 55

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(*.f64 21/8 (/.f64 1 (pow.f64 x 4)))
	0.3b	(/.f64 1 (pow.f64 x 4))
	0.3b	(*.f64 15/8 (/.f64 1 (pow.f64 x 6)))
	0.2b	(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))
✓	0.3b	(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
✓	0.3b	(/.f64 1 (pow.f64 x 6))
✓	0.3b	(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.0b	(sqrt.f64 (PI.f64))

series6.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
1.0ms	x	@	inf	(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
1.0ms	x	@	0	(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
1.0ms	x	@	inf	(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
1.0ms	x	@	-inf	(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

312×	`expm1-udef_binary64`
312×	`log1p-udef_binary64`
299×	`fma-def_binary64`
270×	`log-pow_binary64`
225×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	453	34
2	6036	34

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs

(/.f64 (neg.f64 (+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 4))) (*.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

(/.f64 1 (pow.f64 x 6))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (/.f64 1 (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4)))) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4)))) (/.f64 1 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4)))) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x -6) -15/8 (/.f64 -21/8 (pow.f64 x 4)))) (/.f64 1 (*.f64 x (sqrt.f64 (PI.f64))))))))) 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((#(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 -4) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) (pow.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -6) (pow.f64 (cbrt.f64 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -6) (pow.f64 (sqrt.f64 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3) -1) (pow.f64 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 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 (*.f64 -6 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -6 (log.f64 x)) 1))))))

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

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

810×	`times-frac_binary64`
596×	`unswap-sqr_binary64`
536×	`sqr-pow_binary64`
336×	`associate-*l/_binary64`
308×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	507
1	52	381
2	124	381
3	314	381
4	948	381
5	4100	381
6	4565	381
7	5637	381
8	5804	381
9	6021	381
10	6262	381
11	6617	381
12	7105	381
13	7725	381

Stop Event

1×	node limit

Counts

116 → 100

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 -1 (.f64 x (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))
	0.3b	(*.f64 15/8 (pow.f64 x -6))
	0.2b	(fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))
	0.0b	(fma.f64 1/2 (pow.f64 x -2) 1)
✓	0.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))
✓	0.3b	(/.f64 x (.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))
✓	0.4b	(.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))
	2.5b	(exp.f64 (*.f64 x x))

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 x (.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))
1.0ms	x	@	inf	(.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))
1.0ms	x	@	0	(.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))
1.0ms	x	@	-inf	(/.f64 x (.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))
1.0ms	x	@	-inf	(.f64 (exp.f64 (.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`prod-diff_binary64`
263×	`add-sqr-sqrt_binary64`
249×	`add-log-exp_binary64`
249×	`pow1_binary64`
248×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	111
1	548	108
2	6871	108

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs

(*.f64 (exp.f64 (*.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))

(/.f64 x (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))

(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))) 1) (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))))) (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1))) (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))))) (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)))) (-.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) 3) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3)) (pow.f64 (exp.f64 x) x)) (+.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) 2) (*.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) 2) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2)) (pow.f64 (exp.f64 x) x)) (-.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) 3) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 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simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-/l*_binary64`
433×	`fma-neg_binary64`
422×	`unswap-sqr_binary64`
393×	`fma-def_binary64`
305×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	110	1259
1	299	1143
2	849	1059
3	2884	1003
4	5417	971

Stop Event

1×	node limit

Counts

136 → 146

Calls

Call 1

Inputs
(/.f64 15/8 (pow.f64 x 6))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 35/16 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4))))))
(exp.f64 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (exp.f64 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))))))
(exp.f64 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (exp.f64 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))))))
(*.f64 8/15 (pow.f64 x 7))
(+.f64 (.f64 8/15 (pow.f64 x 7)) (.f64 -56/75 (pow.f64 x 9)))
(+.f64 (.f64 8/15 (pow.f64 x 7)) (+.f64 (.f64 -56/75 (pow.f64 x 9)) (*.f64 476/1125 (pow.f64 x 11))))
(+.f64 (.f64 -644/1875 (pow.f64 x 13)) (+.f64 (.f64 8/15 (pow.f64 x 7)) (+.f64 (.f64 -56/75 (pow.f64 x 9)) (.f64 476/1125 (pow.f64 x 11)))))
(/.f64 x (exp.f64 (pow.f64 x 2)))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 5/4 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))))
(/.f64 x (exp.f64 (pow.f64 x 2)))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 5/4 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))

Outputs
(/.f64 15/8 (pow.f64 x 6))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))
(+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 35/16 (*.f64 x x)) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 35/16 (*.f64 x x))))
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 (/.f64 35/16 x) x)))
(+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 35/16 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 35/16 (*.f64 x x)) (+.f64 35/16 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(+.f64 35/16 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 35/16 (*.f64 x x)))))
(+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 35/16 (*.f64 x x)))))
(+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 (/.f64 35/16 x) x))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (exp.f64 (pow.f64 x 2)))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (exp.f64 (*.f64 x x)))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 (exp.f64 x) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (pow.f64 (exp.f64 x) x))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (exp.f64 (.f64 x x))) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 4))))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (exp.f64 (.f64 x x))))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 3/4 (*.f64 x x)) 1/2)))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 1/2 (/.f64 (/.f64 3/4 x) x))))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (exp.f64 (.f64 x x))) (.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (exp.f64 (*.f64 x x)))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 3/4 (*.f64 x x)) 1/2))))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (+.f64 1/2 (/.f64 (/.f64 3/4 x) x)) (/.f64 15/8 (pow.f64 x 4)))))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (exp.f64 (pow.f64 x 2)))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (exp.f64 (*.f64 x x)))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 (exp.f64 x) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (pow.f64 (exp.f64 x) x))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (exp.f64 (.f64 x x))) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 4))))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (exp.f64 (.f64 x x))))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 3/4 (*.f64 x x)) 1/2)))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 1/2 (/.f64 (/.f64 3/4 x) x))))
(.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (exp.f64 (.f64 x x))) (.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)) (exp.f64 (*.f64 x x)))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 3/4 (*.f64 x x)) 1/2))))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (+.f64 1/2 (/.f64 (/.f64 3/4 x) x)) (/.f64 15/8 (pow.f64 x 4)))))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))
(*.f64 8/15 (pow.f64 x 7))
(+.f64 (.f64 8/15 (pow.f64 x 7)) (.f64 -56/75 (pow.f64 x 9)))
(fma.f64 8/15 (pow.f64 x 7) (*.f64 -56/75 (pow.f64 x 9)))
(+.f64 (.f64 8/15 (pow.f64 x 7)) (+.f64 (.f64 -56/75 (pow.f64 x 9)) (*.f64 476/1125 (pow.f64 x 11))))
(fma.f64 8/15 (pow.f64 x 7) (fma.f64 -56/75 (pow.f64 x 9) (*.f64 476/1125 (pow.f64 x 11))))
(fma.f64 -56/75 (pow.f64 x 9) (fma.f64 8/15 (pow.f64 x 7) (*.f64 476/1125 (pow.f64 x 11))))
(+.f64 (.f64 -644/1875 (pow.f64 x 13)) (+.f64 (.f64 8/15 (pow.f64 x 7)) (+.f64 (.f64 -56/75 (pow.f64 x 9)) (.f64 476/1125 (pow.f64 x 11)))))
(fma.f64 -644/1875 (pow.f64 x 13) (fma.f64 8/15 (pow.f64 x 7) (fma.f64 -56/75 (pow.f64 x 9) (*.f64 476/1125 (pow.f64 x 11)))))
(fma.f64 -644/1875 (pow.f64 x 13) (fma.f64 -56/75 (pow.f64 x 9) (fma.f64 8/15 (pow.f64 x 7) (*.f64 476/1125 (pow.f64 x 11)))))
(fma.f64 8/15 (pow.f64 x 7) (fma.f64 -644/1875 (pow.f64 x 13) (fma.f64 -56/75 (pow.f64 x 9) (*.f64 476/1125 (pow.f64 x 11)))))
(/.f64 x (exp.f64 (pow.f64 x 2)))
(/.f64 x (exp.f64 (*.f64 x x)))
(/.f64 x (pow.f64 (exp.f64 x) x))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (/.f64 1/2 (.f64 x (exp.f64 (*.f64 x x)))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (/.f64 (/.f64 1/2 x) (exp.f64 (.f64 x x))))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -1/2 (pow.f64 (exp.f64 x) x)) x))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -1/2 x) (pow.f64 (exp.f64 x) x)))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (+.f64 (/.f64 1/2 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 1/2 (.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (+.f64 (/.f64 (/.f64 1/2 x) (exp.f64 (.f64 x x))) (/.f64 1/2 (.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))))
(fma.f64 -1/2 (+.f64 (/.f64 (exp.f64 (.f64 x (neg.f64 x))) x) (/.f64 (exp.f64 (.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 -1/2 (/.f64 1/2 (.f64 x x)))))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 -1/2 (.f64 x x)) 1/2)))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 5/4 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (+.f64 (/.f64 1/2 (.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (+.f64 (/.f64 1/2 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 5/4 (.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))))
(-.f64 (-.f64 (/.f64 x (exp.f64 (.f64 x x))) (/.f64 1/2 (.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))) (+.f64 (/.f64 (/.f64 1/2 x) (exp.f64 (.f64 x x))) (/.f64 (/.f64 5/4 (pow.f64 x 5)) (exp.f64 (*.f64 x x)))))
(-.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (fma.f64 1/2 (+.f64 (/.f64 (exp.f64 (.f64 x (neg.f64 x))) x) (/.f64 (exp.f64 (.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 (/.f64 5/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 -1/2 (/.f64 1/2 (.f64 x x)))) (/.f64 -5/4 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -1/2 (/.f64 -1/2 (.f64 x x))) (/.f64 -5/4 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))
(/.f64 x (exp.f64 (pow.f64 x 2)))
(/.f64 x (exp.f64 (*.f64 x x)))
(/.f64 x (pow.f64 (exp.f64 x) x))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (/.f64 1/2 (.f64 x (exp.f64 (*.f64 x x)))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (/.f64 (/.f64 1/2 x) (exp.f64 (.f64 x x))))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -1/2 (pow.f64 (exp.f64 x) x)) x))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -1/2 x) (pow.f64 (exp.f64 x) x)))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (+.f64 (/.f64 1/2 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 1/2 (.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (+.f64 (/.f64 (/.f64 1/2 x) (exp.f64 (.f64 x x))) (/.f64 1/2 (.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))))
(fma.f64 -1/2 (+.f64 (/.f64 (exp.f64 (.f64 x (neg.f64 x))) x) (/.f64 (exp.f64 (.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 -1/2 (/.f64 1/2 (.f64 x x)))))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 -1/2 (.f64 x x)) 1/2)))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 5/4 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (+.f64 (/.f64 1/2 (.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (+.f64 (/.f64 1/2 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 5/4 (.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))))
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(-.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (fma.f64 1/2 (+.f64 (/.f64 (exp.f64 (.f64 x (neg.f64 x))) x) (/.f64 (exp.f64 (.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 (/.f64 5/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))))
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(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -1/2 (/.f64 -1/2 (.f64 x x))) (/.f64 -5/4 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 7) 15/8))
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(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
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(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))))

localize24.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
	0.2b	(/.f64 3/4 (pow.f64 x 4))
	0.1b	(sqrt.f64 (exp.f64 x))
	0.1b	(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))
	0.3b	(/.f64 1/2 (*.f64 x x))
✓	0.4b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
✓	0.5b	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))
✓	1.0b	(pow.f64 (sqrt.f64 (exp.f64 x)) x)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (exp.f64 x)) x)
1.0ms	x	@	inf	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
1.0ms	x	@	-inf	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
1.0ms	x	@	inf	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

267×	`add-sqr-sqrt_binary64`
256×	`add-log-exp_binary64`
256×	`pow1_binary64`
255×	`log1p-expm1-u_binary64`
255×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	546	49

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs

(pow.f64 (sqrt.f64 (exp.f64 x)) x)

(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))

(*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))

Outputs

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

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(cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (exp.f64 (*.f64 x x))) (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))) (/.f64 x (sqrt.f64 (exp.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 x x))) (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) (pow.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))) 3)) (/.f64 (exp.f64 (*.f64 x x)) x)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (*.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))) (-.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))) (/.f64 (/.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))) 2)) (/.f64 (exp.f64 (*.f64 x x)) x)) (-.f64 (-.f64 (/.f64 (/.f64 1/2 x) x) 1) (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 1/8 (pow.f64 x 6)) (pow.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))) 3))) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (*.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))) (-.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))) (/.f64 (/.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))) 2))) (-.f64 (-.f64 (/.f64 (/.f64 1/2 x) x) 1) (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1)) (sqrt.f64 (exp.f64 (*.f64 x x)))) (/.f64 x (sqrt.f64 (exp.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1)) (neg.f64 (exp.f64 (*.f64 x x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) 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(*.f64 x x)) x) (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x x)) x) 3) (pow.f64 (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1)) 3) (pow.f64 (/.f64 (exp.f64 (*.f64 x x)) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))) (-.f64 (*.f64 x x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))) (-.f64 (*.f64 x x) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (/.f64 (/.f64 1/2 x) x) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))))))))))

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-def_binary64`
825×	`distribute-rgt-out_binary64`
676×	`associate-l_binary64`
605×	`associate-/l*_binary64`
575×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	694
1	176	672
2	464	618
3	1462	594
4	7314	594

Stop Event

1×	node limit

Counts

139 → 134

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 6)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 35/16 (/.f64 1 x)) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (.f64 35/16 (/.f64 1 (pow.f64 x 3))))))
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x)
(+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3))))
(+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 5))) (+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3)))))
(+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 7))) (+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3))))))
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x)
(+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3))))
(+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 5))) (+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3)))))
(+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 7))) (+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3))))))

Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (+.f64 1 (.f64 1/2 (.f64 x x))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) 1))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 4) 1))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 6)))))
(fma.f64 1/8 (pow.f64 x 4) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 1/48 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/48 (pow.f64 x 6) (.f64 1/2 (.f64 x x))) (fma.f64 1/8 (pow.f64 x 4) 1))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/48 (pow.f64 x 6) 1)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/48 (pow.f64 x 6) 1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(pow.f64 (sqrt.f64 (exp.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(pow.f64 (sqrt.f64 (exp.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(pow.f64 (sqrt.f64 (exp.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(pow.f64 (sqrt.f64 (exp.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(pow.f64 (sqrt.f64 (exp.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(pow.f64 (sqrt.f64 (exp.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(pow.f64 (sqrt.f64 (exp.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))
(pow.f64 (sqrt.f64 (exp.f64 x)) x)
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 (pow.f64 x 6) 1/6 (fma.f64 1/2 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 (pow.f64 x 6) 1/6 (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/6 1)))
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
(pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2)
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 35/16 (/.f64 1 x)) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (.f64 35/16 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))) (/.f64 35/16 x)))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x)
(/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) x)
(/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x)) x)
(/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x)
(/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x)
(+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) x) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 3)) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x))
(/.f64 (.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))) x)
(+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 5))) (+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3)))))
(fma.f64 3/4 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) x) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 3)))))
(fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 3)) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x)) x)))
(fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))
(+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 7))) (+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3))))))
(fma.f64 3/4 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 7)) (+.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) x) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 3))))))
(fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 3)) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) x))))
(fma.f64 15/8 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x))))
(fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x)
(/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) x)
(/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x)) x)
(/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x)
(/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x)
(+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) x) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 3)) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x))
(/.f64 (.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))) x)
(+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 5))) (+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3)))))
(fma.f64 3/4 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) x) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 3)))))
(fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 3)) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 x)) x)))
(fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))
(+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 7))) (+.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)) 2) (pow.f64 x 3))))))
(fma.f64 3/4 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 7)) (+.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) x) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (pow.f64 x 3))))))
(fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) (pow.f64 x 3)) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 2 x)) x))))
(fma.f64 15/8 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x))))
(fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))

eval495.0ms (3.8%)

Compiler: Compiled 22845 to 15185 computations (33.5% saved)

prune312.0ms (2.4%)

Pruning

104 alts after pruning (98 fresh and 6 done)

	Pruned	Kept	Total
New	665	57	722
Fresh	29	41	70
Picked	0	1	1
Done	2	5	7
Total	696	104	800

Error

0.2b

Counts

800 → 104

Alt Table

Click to see full alt table

Status	Error	Program
	2.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (exp.f64 (.f64 x (.f64 x 1/2)))) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))))))))
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
	55.8b	(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))))
	2.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x x))) 3) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (pow.f64 (pow.f64 (exp.f64 x) 1/4) x))) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.4b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))
	2.6b	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) (sqrt.f64 (PI.f64)))))
	3.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (expm1.f64 (log1p.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (.f64 x 1/2)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	10.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 1/3) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	41.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4))))))))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	48.4b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
	56.2b	(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	56.7b	(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
	1.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
▶	8.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3))))
	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 2)) (/.f64 x (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))))
	2.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (E.f64) (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
✓	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	56.7b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	55.2b	(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
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	41.7b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	61.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
✓	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.7b	(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	55.2b	(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.6b	(/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (cbrt.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) 2)) (cbrt.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	2.6b	(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
▶	56.7b	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
✓	56.7b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	56.7b	(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	2.9b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (sqrt.f64 (PI.f64))) x)

Compiler

Compiled 6417 to 4880 computations (24% saved)

localize26.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 3/4 (pow.f64 x 4))
	0.2b	(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
	0.2b	(fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
	0.1b	(+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))
	0.3b	(/.f64 1/2 (*.f64 x x))
✓	0.4b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2))))
	0.4b	(.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x)))
	1.0b	(pow.f64 (exp.f64 x) x)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 (*.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2))))

0.0ms

inf

(/.f64 (*.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2))))

0.0ms

-inf

(/.f64 (*.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2))))

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`add-sqr-sqrt_binary64`
286×	`add-log-exp_binary64`
286×	`pow1_binary64`
284×	`log1p-expm1-u_binary64`
284×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	48
1	630	40

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs

(/.f64 (*.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (/.f64 1 (/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (*.f64 (+.f64 1 (fma.f64 15/8 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egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) x) (/.f64 1 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) 2) 1) (/.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) 1) (/.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) x) (/.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (*.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) 2) x) (/.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64)))) (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64)))) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64)))) (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64)))) 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) 3) (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 1))))))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac_binary64`
434×	`associate-*l/_binary64`
433×	`unswap-sqr_binary64`
431×	`associate-/r*_binary64`
425×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	49	619
1	129	511
2	394	447
3	1544	429
4	5928	411
5	6887	401

Stop Event

1×	node limit

Counts

64 → 68

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (fma.f64 35/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (PI.f64))
	0.4b	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
✓	0.4b	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
	1.0b	(sqrt.f64 (PI.f64))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
0.0ms	x	@	inf	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
0.0ms	x	@	-inf	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	195	13
2	2277	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -7) (*.f64 (sqrt.f64 (PI.f64)) 8/15))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 15/8 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 15/8 (pow.f64 x -7))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 15/8 (pow.f64 x -7)) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 15/8 (pow.f64 x -7)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 15/8 (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 -15/8 (pow.f64 x -7)) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -7) -15/8) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 15/8 (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 225/64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 15/8 (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 15/8 (sqrt.f64 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))))

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

867×	`associate-/l/_binary64`
822×	`unswap-sqr_binary64`
570×	`sqr-pow_binary64`
482×	`*-commutative_binary64`
405×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	228
1	25	192
2	51	192
3	135	192
4	442	192
5	2021	192
6	2244	192
7	2583	192
8	3894	192
9	4005	192
10	4174	192
11	5758	192
12	6110	192
13	6597	192
14	7452	192

Stop Event

1×	node limit

Counts

35 → 25

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (pow.f64 x 7))
	0.3b	(*.f64 21/8 (/.f64 1 (pow.f64 x 5)))
	0.3b	(*.f64 15/8 (/.f64 1 (pow.f64 x 7)))
	0.2b	(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
✓	0.3b	(*.f64 21/8 (/.f64 1 (pow.f64 x 5)))
✓	0.3b	(/.f64 1 (pow.f64 x 7))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
✓	0.3b	(/.f64 1 (pow.f64 x 5))

series6.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (pow.f64 x 5))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
1.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
1.0ms	x	@	inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
0.0ms	x	@	0	(*.f64 21/8 (/.f64 1 (pow.f64 x 5)))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`log-prod_binary64`
383×	`fma-def_binary64`
324×	`expm1-udef_binary64`
324×	`log1p-udef_binary64`
287×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	409	35
2	5121	35

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 5))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(/.f64 1 (pow.f64 x 7))
(*.f64 21/8 (/.f64 1 (pow.f64 x 5)))

Outputs
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(sqrt.f64 (PI.f64)) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (pow.f64 (PI.f64) -1/2))) (sqrt.f64 (pow.f64 (PI.f64) -1/2)) (/.f64 21/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -5)) 21/8 (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (PI.f64) -1/2) (cbrt.f64 (/.f64 441/64 (pow.f64 x 10)))) (cbrt.f64 (.f64 (pow.f64 x -5) 21/8)) (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 (pow.f64 x -5/2) (sqrt.f64 21/8))) (.f64 (pow.f64 x -5/2) (sqrt.f64 21/8)) (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)) 15/8 (/.f64 21/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (PI.f64) -1/2) (cbrt.f64 (.f64 (pow.f64 x -14) 225/64))) (cbrt.f64 (.f64 15/8 (pow.f64 x -7))) (/.f64 21/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 (pow.f64 x -7/2) (sqrt.f64 15/8))) (.f64 (pow.f64 x -7/2) (sqrt.f64 15/8)) (/.f64 21/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (pow.f64 x -5) 21/8) (/.f64 1 (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) -1/2)) (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (pow.f64 x -5) 21/8) (sqrt.f64 (pow.f64 (PI.f64) -1/2))) (sqrt.f64 (pow.f64 (PI.f64) -1/2)) (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -7))) (cbrt.f64 (exp.f64 (pow.f64 x -7))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.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 x -7) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -7)) (cbrt.f64 (pow.f64 x -14)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -14)) (cbrt.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -7/2) (pow.f64 x -7/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -7) (pow.f64 (cbrt.f64 x) -7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) -7) (pow.f64 (sqrt.f64 x) -7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x 14)) -1) (pow.f64 (cbrt.f64 (pow.f64 x 7)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x 7/2) -1) (pow.f64 (pow.f64 x 7/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -7)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 7) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -7) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -7) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -7)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -7/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -14))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -7) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -7 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) -7))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 7 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -7 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x -5) 21/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 21/8) (pow.f64 x -5))) (cbrt.f64 (pow.f64 (exp.f64 21/8) (pow.f64 x -5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 21/8) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 21/8) (pow.f64 x -5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 21/8) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -5) 21/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 5) 21/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 21/8 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -21/8 (neg.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 21/8 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 21/8 (pow.f64 x 5/2)) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x -5) 21/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 x -5) 21/8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x -5/2) (sqrt.f64 21/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 x -5) 3) 9261/512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 441/64 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 21/8) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x -5) 21/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 x -5) 3) 9261/512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x -5) 21/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x -5) 21/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 x -5) 21/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -5) 21/8)) 1))))))

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

828×	`times-frac_binary64`
596×	`unswap-sqr_binary64`
536×	`sqr-pow_binary64`
352×	`associate-*l/_binary64`
319×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	483
1	44	357
2	105	357
3	297	357
4	964	357
5	4171	357
6	4606	357
7	5670	357
8	5825	357
9	6018	357
10	6259	357
11	6614	357
12	7102	357
13	7722	357

Stop Event

1×	node limit

Counts

177 → 159

Calls

Call 1

Inputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))
(/.f64 21/8 (pow.f64 x 5))

localize24.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
	0.2b	(/.f64 3/4 (pow.f64 x 4))
	0.1b	(sqrt.f64 (exp.f64 x))
	0.1b	(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))
	0.3b	(/.f64 15/8 (pow.f64 x 6))
	0.3b	(/.f64 1/2 (*.f64 x x))
✓	0.4b	(.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
✓	1.6b	(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
1.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))
0.0ms	x	@	0	(.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))

rewrite110.0ms (0.8%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

270×	`add-sqr-sqrt_binary64`
270×	`add-sqr-sqrt_binary64`
259×	`add-log-exp_binary64`
259×	`pow1_binary64`
259×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	22
1	548	22
0	6	11
1	131	1
2	2081	1
3	6190	1
0	6	11
1	131	1
0	23	44
1	548	44
0	23	44

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	unsound
1×	node limit

Counts

2 → 1

Calls

Call 1

Inputs

(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))

(*.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))
()

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

655×	`unswap-sqr_binary64`
502×	`fma-def_binary64`
411×	`distribute-rgt-out_binary64`
395×	`times-frac_binary64`
357×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	690
1	147	680
2	366	508
3	1058	484
4	4653	382
5	7061	382

Stop Event

1×	node limit

Counts

25 → 24

Calls

Call 1

Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 35/16 (/.f64 1 x)) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (.f64 35/16 (/.f64 1 (pow.f64 x 3))))))
(/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x)
(+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3))))
(+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 5))) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 7))) (+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 5))) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3))))))
(/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x)
(+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3))))
(+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 5))) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 7))) (+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 5))) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3))))))

Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (fma.f64 x x (*.f64 1/2 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1)))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (exp.f64 x) x)
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 35/16 (/.f64 1 x)) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (.f64 35/16 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))) (/.f64 35/16 x)))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x))))
(/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x)
(/.f64 (pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x)
(/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x)
(/.f64 (pow.f64 (exp.f64 x) x) x)
(+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 5))) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 5)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 5)) (/.f64 (.f64 1/2 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))) (pow.f64 x 3))))
(fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 7))) (+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 5))) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3))))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 7)) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 5)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 3))))))
(+.f64 (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 5)) (/.f64 (.f64 1/2 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))) (pow.f64 x 3))) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 7)) (/.f64 (pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x)))
(fma.f64 15/8 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x))))
(fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))
(/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x)
(/.f64 (pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x)
(/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x)
(/.f64 (pow.f64 (exp.f64 x) x) x)
(+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 5))) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 5)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 5)) (/.f64 (.f64 1/2 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))) (pow.f64 x 3))))
(fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 7))) (+.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) x) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 5))) (.f64 1/2 (/.f64 (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))) (pow.f64 x 3))))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 7)) (+.f64 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 5)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 3))))))
(+.f64 (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 5)) (/.f64 (.f64 1/2 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))) (pow.f64 x 3))) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (pow.f64 x 7)) (/.f64 (pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) x)))
(fma.f64 15/8 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (pow.f64 x 5)) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2)) x))))
(fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) x) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))))

localize30.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))
	0.3b	(*.f64 15/8 (pow.f64 x -6))
	0.2b	(fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))
	0.0b	(fma.f64 1/2 (pow.f64 x -2) 1)
✓	0.4b	(.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))
✓	0.7b	(pow.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3)
	1.0b	(pow.f64 (exp.f64 x) x)
✓	7.8b	(cbrt.f64 (pow.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3))

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3))
1.0ms	x	@	inf	(pow.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3)
1.0ms	x	@	-inf	(pow.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3)
1.0ms	x	@	0	(pow.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3)
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3))

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`prod-diff_binary64`
374×	`log1p-udef_binary64`
232×	`add-sqr-sqrt_binary64`
224×	`add-log-exp_binary64`
223×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	105
1	507	105
2	5925	105

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3))

(pow.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3)

(*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 1 (pow.f64 (exp.f64 x) x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) (pow.f64 (pow.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) 2) (cbrt.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (pow.f64 (exp.f64 x) x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) (sqrt.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (pow.f64 (exp.f64 x) x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)) (neg.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (exp.f64 x) x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 1 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 2) 1/3) (cbrt.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) 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1) 3))) (+.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) 2) (*.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) 2) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2))) (-.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) x) (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)))))))

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-*l/_binary64`
516×	`associate-/l/_binary64`
503×	`fma-def_binary64`
425×	`fma-neg_binary64`
397×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1158
1	415	1149
2	1222	1099
3	4444	923

Stop Event

1×	node limit

Counts

161 → 178

Calls

Call 1

Inputs
(*.f64 8/15 (pow.f64 x 7))
(+.f64 (.f64 8/15 (pow.f64 x 7)) (.f64 -56/75 (pow.f64 x 9)))
(+.f64 (.f64 8/15 (pow.f64 x 7)) (+.f64 (.f64 -56/75 (pow.f64 x 9)) (*.f64 476/1125 (pow.f64 x 11))))
(+.f64 (.f64 -644/1875 (pow.f64 x 13)) (+.f64 (.f64 8/15 (pow.f64 x 7)) (+.f64 (.f64 -56/75 (pow.f64 x 9)) (.f64 476/1125 (pow.f64 x 11)))))
(/.f64 x (exp.f64 (pow.f64 x 2)))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 5/4 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (exp.f64 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (exp.f64 (pow.f64 x 2)))))
(+.f64 (.f64 -1/4 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) x))) (+.f64 (.f64 3/4 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (exp.f64 (pow.f64 x 2)))))))
(+.f64 (.f64 -1/4 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) x))) (+.f64 (.f64 3/4 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 15/8 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (exp.f64 (pow.f64 x 2)))) (+.f64 (.f64 -3/8 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2)))) (*.f64 3/4 (/.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))))) (pow.f64 x 5)))))))))
(*.f64 512/3375 (pow.f64 x 21))
(+.f64 (.f64 512/3375 (pow.f64 x 21)) (.f64 -3584/5625 (pow.f64 x 23)))
(+.f64 (.f64 105728/84375 (pow.f64 x 25)) (+.f64 (.f64 512/3375 (pow.f64 x 21)) (*.f64 -3584/5625 (pow.f64 x 23))))
(+.f64 (.f64 105728/84375 (pow.f64 x 25)) (+.f64 (.f64 512/3375 (pow.f64 x 21)) (+.f64 (.f64 -3584/5625 (pow.f64 x 23)) (.f64 -5376/3125 (pow.f64 x 27)))))
(/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (pow.f64 x 2)) 3))
(+.f64 (*.f64 -3/2 (/.f64 x (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))
(-.f64 (+.f64 (.f64 -3/2 (/.f64 x (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 3/4 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) x))))
(-.f64 (+.f64 (.f64 -3/2 (/.f64 x (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (+.f64 (.f64 19/8 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3)))) (.f64 3/4 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) x)))))
(/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (pow.f64 x 2)) 3))
(+.f64 (*.f64 -3/2 (/.f64 x (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))
(-.f64 (+.f64 (.f64 -3/2 (/.f64 x (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (.f64 3/4 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) x))))
(-.f64 (+.f64 (.f64 -3/2 (/.f64 x (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (+.f64 (.f64 19/8 (/.f64 1 (.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3)))) (.f64 3/4 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) x)))))
(/.f64 15/8 (pow.f64 x 6))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 2))) (+.f64 35/16 (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 21/8 (/.f64 1 (pow.f64 x 4))))))
(exp.f64 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (exp.f64 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))))))
(exp.f64 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (exp.f64 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))))))

Outputs
(*.f64 8/15 (pow.f64 x 7))
(+.f64 (.f64 8/15 (pow.f64 x 7)) (.f64 -56/75 (pow.f64 x 9)))
(fma.f64 8/15 (pow.f64 x 7) (*.f64 -56/75 (pow.f64 x 9)))
(fma.f64 -56/75 (pow.f64 x 9) (*.f64 8/15 (pow.f64 x 7)))
(+.f64 (.f64 8/15 (pow.f64 x 7)) (+.f64 (.f64 -56/75 (pow.f64 x 9)) (*.f64 476/1125 (pow.f64 x 11))))
(fma.f64 8/15 (pow.f64 x 7) (fma.f64 -56/75 (pow.f64 x 9) (*.f64 476/1125 (pow.f64 x 11))))
(fma.f64 -56/75 (pow.f64 x 9) (fma.f64 8/15 (pow.f64 x 7) (*.f64 476/1125 (pow.f64 x 11))))
(+.f64 (.f64 -644/1875 (pow.f64 x 13)) (+.f64 (.f64 8/15 (pow.f64 x 7)) (+.f64 (.f64 -56/75 (pow.f64 x 9)) (.f64 476/1125 (pow.f64 x 11)))))
(fma.f64 -644/1875 (pow.f64 x 13) (fma.f64 8/15 (pow.f64 x 7) (fma.f64 -56/75 (pow.f64 x 9) (*.f64 476/1125 (pow.f64 x 11)))))
(fma.f64 8/15 (pow.f64 x 7) (fma.f64 -644/1875 (pow.f64 x 13) (fma.f64 -56/75 (pow.f64 x 9) (*.f64 476/1125 (pow.f64 x 11)))))
(/.f64 x (exp.f64 (pow.f64 x 2)))
(/.f64 x (exp.f64 (*.f64 x x)))
(/.f64 x (pow.f64 (exp.f64 x) x))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (/.f64 1/2 (.f64 x (exp.f64 (*.f64 x x)))))
(-.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 1/2 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -1/2 x) (pow.f64 (exp.f64 x) x)))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x)))))
(-.f64 (/.f64 x (exp.f64 (.f64 x x))) (+.f64 (/.f64 1/2 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 1/2 (.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 1/2 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))) (/.f64 -1/2 (.f64 x (pow.f64 (exp.f64 x) x))))
(fma.f64 -1/2 (+.f64 (/.f64 (exp.f64 (.f64 x (neg.f64 x))) x) (/.f64 (exp.f64 (.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(+.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 -1/2 (/.f64 1/2 (.f64 x x)))))
(-.f64 (/.f64 x (exp.f64 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (.f64 5/4 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (pow.f64 x 2)) x))))))
(-.f64 (-.f64 (/.f64 x (exp.f64 (.f64 x x))) (/.f64 1/2 (.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (.f64 x (exp.f64 (.f64 x x)))) (/.f64 5/4 (.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 1/2 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 5/4 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))
(-.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (fma.f64 1/2 (+.f64 (/.f64 (exp.f64 (.f64 x (neg.f64 x))) x) (/.f64 (exp.f64 (.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 (/.f64 5/4 (pow.f64 (exp.f64 x) x)) (pow.f64 x 5))))
(+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 -1/2 (/.f64 1/2 (.f64 x x)))) (-.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (/.f64 5/4 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (exp.f64 (pow.f64 x 2))))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 (exp.f64 (*.f64 x x)) x)))
(/.f64 (neg.f64 (cbrt.f64 -1)) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (neg.f64 x))
(*.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (neg.f64 (cbrt.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (cbrt.f64 -1) (.f64 (exp.f64 (pow.f64 x 2)) x))) (.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) x) (exp.f64 (pow.f64 x 2)))))
(fma.f64 1/2 (/.f64 (cbrt.f64 -1) (.f64 x (exp.f64 (.f64 x x)))) (neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 (exp.f64 (*.f64 x x)) x))))
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(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (exp.f64 (pow.f64 x 2)))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (exp.f64 (*.f64 x x)))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (pow.f64 (exp.f64 x) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (pow.f64 (exp.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (exp.f64 (.f64 x x))) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 4))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 4)) (pow.f64 (exp.f64 x) x)))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 1/2 (/.f64 (/.f64 3/4 x) x))))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (exp.f64 (pow.f64 x 2)) (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 4))))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (exp.f64 (.f64 x x))) (.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 4)))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 4)) (pow.f64 (exp.f64 x) x))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 6)) (+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 1/2 (/.f64 (/.f64 3/4 x) x)))))
(+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x x)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 1/2 (/.f64 (/.f64 3/4 x) x)))))

eval476.0ms (3.7%)

Compiler: Compiled 20291 to 14581 computations (28.1% saved)

prune373.0ms (2.9%)

Pruning

109 alts after pruning (101 fresh and 8 done)

	Pruned	Kept	Total
New	613	26	639
Fresh	18	75	93
Picked	1	0	1
Done	2	8	10
Total	634	109	743

Error

0.1b

Counts

743 → 109

Alt Table

Click to see full alt table

Status	Error	Program
	2.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (exp.f64 (.f64 x (.f64 x 1/2)))) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))))))))
	1.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (pow.f64 (pow.f64 (exp.f64 x) 1/4) x))) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
	55.8b	(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))))
	48.4b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
	2.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x x))) 3) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	2.7b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (exp.f64 (.f64 x x)))) (.f64 x (neg.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2))))
	2.6b	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) (sqrt.f64 (PI.f64)))))
	56.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
	56.6b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (.f64 x 1/2)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	56.7b	(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
	56.6b	(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
	10.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 1/3) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	41.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4))))))))
	1.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	48.4b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	56.2b	(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	8.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x x)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 1/2 (/.f64 (/.f64 3/4 x) x)))))) 3))))
	44.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
	2.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (E.f64) (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
✓	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	56.7b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	56.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (/.f64 (pow.f64 x 5) 21/8)) (.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 (/.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) 2)) (cbrt.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3))))
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x))))
	55.2b	(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.9b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))
	6.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
	55.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))
	2.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) x))) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	56.7b	(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.2b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))
	56.7b	(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
	7.0b	(.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	8.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) 3) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3)) (pow.f64 (exp.f64 x) x)) (+.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) 2) (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6)))))))) 3))))
	1.7b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	5.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 3/2) x))) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	2.6b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	41.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (exp.f64 x) x)) (/.f64 (cbrt.f64 x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	2.6b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.6b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (exp.f64 (.f64 x x)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	56.2b	(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (pow.f64 x -6)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	56.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
	1.3b	(.f64 (/.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (.f64 1/2 (pow.f64 x -2))))) (cbrt.f64 (.f64 (.f64 x x) (PI.f64)))) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
	1.2b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) (sqrt.f64 (PI.f64)))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) 1/2) (pow.f64 x 3))))
	9.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) 2) 3) (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))))
	56.7b	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
	1.5b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	2.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (expm1.f64 (log1p.f64 (exp.f64 (.f64 x x)))) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	55.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 (/.f64 35/16 x) x)))))))
	3.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(/.f64 (pow.f64 (PI.f64) -1/2) (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))
	1.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (pow.f64 (exp.f64 x) x)) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))))))
	1.4b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)))))
	10.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 3)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.2b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 1)))) (neg.f64 (pow.f64 (exp.f64 x) x))) (.f64 x (neg.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 2) (.f64 (cbrt.f64 (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))
	1.6b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1)))) (sqrt.f64 (PI.f64)))) 3)
	1.6b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (-.f64 (exp.f64 (log1p.f64 (.f64 15/8 (pow.f64 x -6)))) 1))))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	44.9b	(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
	44.9b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	48.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
	9.3b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	9.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (cbrt.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))) 3))) 3))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	56.7b	(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
✓	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	56.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
	1.6b	(.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) 2))
	2.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (.f64 x x)))) (sqrt.f64 (sqrt.f64 (exp.f64 (.f64 x x)))))) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	1.3b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	11.2b	(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 6) x) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x))))) 3) 1/3)
	48.4b	(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
✓	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	1.2b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (/.f64 x (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1)))))
	10.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 1/3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	9.2b	(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (*.f64 x (neg.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2))))
	48.4b	(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	55.2b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)))))
	41.7b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	61.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
✓	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.7b	(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	55.2b	(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) 2)))
	1.6b	(/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (cbrt.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) 2)) (cbrt.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	2.6b	(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
✓	56.7b	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
	56.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
✓	56.7b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	56.7b	(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
	48.4b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
	2.9b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (sqrt.f64 (PI.f64))) x)
	1.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 15/8 (pow.f64 x -6))) (fma.f64 1/2 (pow.f64 x -2) 1))))) 3)))

Compiler

Compiled 3481 to 2681 computations (23% saved)

regimes1.1s (8.5%)

Counts

190 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
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(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (E.f64) (.f64 x x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 1/3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 x -6) x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (/.f64 1 x)))))) 2))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) 3) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3)) (pow.f64 (exp.f64 x) x)) (+.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6))) 2) (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (fma.f64 3/4 (pow.f64 x -4) (.f64 15/8 (pow.f64 x -6)))))))) 3))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))

Calls

4 calls:

254.0ms	(fabs.f64 x)
226.0ms	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
207.0ms	(fabs.f64 x)
194.0ms	x

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	1	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
1.2b	1	`(fabs.f64 x)`
1.2b	1	`(fabs.f64 x)`

Compiler

Compiled 6085 to 3832 computations (37% saved)

regimes183.0ms (1.4%)

Counts

76 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (/.f64 (pow.f64 x 5) 21/8)) (.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (pow.f64 x -6)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 (/.f64 35/16 x) x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (exp.f64 (.f64 x x)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))

Outputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Calls

1 calls:

109.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 1348 to 850 computations (36.9% saved)

regimes105.0ms (0.8%)

Counts

74 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (/.f64 (pow.f64 x 5) 21/8)) (.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (pow.f64 x -6)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 (/.f64 35/16 x) x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (exp.f64 (.f64 x x)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Outputs
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Calls

1 calls:

71.0ms

Results

Error	Segments	Branch
1.3b	1	`x`

Compiler

Compiled 1287 to 817 computations (36.5% saved)

regimes162.0ms (1.2%)

Counts

73 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (/.f64 (pow.f64 x 5) 21/8)) (.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (pow.f64 x -6)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 (/.f64 35/16 x) x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
(/.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (.f64 x x))))) (neg.f64 (exp.f64 (.f64 x x)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))

Calls

1 calls:

127.0ms

Results

Error	Segments	Branch
2.6b	1	`x`

Compiler

Compiled 1257 to 801 computations (36.3% saved)

regimes147.0ms (1.1%)

Counts

71 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (/.f64 (pow.f64 x 5) 21/8)) (.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (pow.f64 x -6)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 (/.f64 35/16 x) x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))

Outputs
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))

Calls

1 calls:

115.0ms

Results

Error	Segments	Branch
2.6b	1	`x`

Compiler

Compiled 1196 to 766 computations (36% saved)

regimes98.0ms (0.7%)

Counts

70 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (/.f64 (pow.f64 x 5) 21/8)) (.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (pow.f64 x -6)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 (/.f64 35/16 x) x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/4 (pow.f64 x 4))))))))

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

Calls

1 calls:

67.0ms

Results

Error	Segments	Branch
41.7b	1	`x`

Compiler

Compiled 1166 to 751 computations (35.6% saved)

regimes146.0ms (1.1%)

Counts

62 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (/.f64 (pow.f64 x 5) 21/8)) (.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (pow.f64 x -6)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 (/.f64 35/16 x) x)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x))) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))

Outputs

(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (*.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x))))

Calls

1 calls:

121.0ms

Results

Error	Segments	Branch
43.5b	2	`x`

Compiler

Compiled 961 to 611 computations (36.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	1.1515008115712615	1.1661585981764786

Compiler

Compiled 108 to 72 computations (33.3% saved)

regimes125.0ms (1%)

Counts

59 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (/.f64 (pow.f64 x 5) 21/8)) (.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (pow.f64 x -6)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 -35/16 x) x) -35/16))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 35/16 (/.f64 (/.f64 35/16 x) x)))))))

Outputs

(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (*.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

(/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (*.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Calls

1 calls:

98.0ms

Results

Error	Segments	Branch
43.9b	2	`x`

Compiler

Compiled 897 to 567 computations (36.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	1.1933420272606816	1.201716027685522

Compiler

Compiled 108 to 72 computations (33.3% saved)

regimes82.0ms (0.6%)

Counts

56 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (+.f64 (.f64 8/15 (pow.f64 x 7)) (*.f64 -56/75 (pow.f64 x 9)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 x (pow.f64 (exp.f64 x) x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (/.f64 (pow.f64 x 5) 21/8)) (.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (pow.f64 x -6)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 4))) (.f64 15/8 (/.f64 1 (pow.f64 x 6))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (-.f64 (/.f64 -35/16 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 (/.f64 -35/16 x) x))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Outputs
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Calls

1 calls:

55.0ms

Results

Error	Segments	Branch
44.9b	1	`x`

Compiler

Compiled 819 to 514 computations (37.2% saved)

regimes41.0ms (0.3%)

Counts

38 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 x -7/2) (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 512/3375 (pow.f64 x 21)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (exp.f64 (pow.f64 x 2)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(/.f64 (-.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (/.f64 -15/8 (pow.f64 x 6))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (pow.f64 x -7))))

Outputs
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
48.4b	1	`x`

Compiler

Compiled 463 to 306 computations (33.9% saved)

regimes19.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
48.4b	1	`x`

Compiler

Compiled 219 to 135 computations (38.4% saved)

regimes15.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 -15/8 (pow.f64 x 6)) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))

Outputs
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
56.6b	1	`x`

Compiler

Compiled 117 to 81 computations (30.8% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))

Outputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
56.7b	1	`x`

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative_binary64`
22×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	521
1	141	521
2	159	521
3	171	521
4	177	521
5	178	521

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 x 5224175567749775/4503599627370496) (/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x)))))
(if (<=.f64 x 5404319552844595/4503599627370496) (/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64))))) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x))))) (*.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 -1 (/.f64 -3/4 (pow.f64 x 4))) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) (/.f64 -1/2 (.f64 x x))))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))) (/.f64 (exp.f64 (.f64 x x)) x)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (/.f64 (exp.f64 (.f64 x x)) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -1/2 (.f64 x x)) (/.f64 -3/4 (pow.f64 x 4))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -3/4 (pow.f64 x 4)) (/.f64 -1/2 (.f64 x x))))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -3/4 (pow.f64 x 4)) (/.f64 -1/2 (.f64 x x))))) (*.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (+.f64 (/.f64 -3/4 (pow.f64 x 4)) (/.f64 -1/2 (.f64 x x))))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))
(if (<=.f64 x 5224175567749775/4503599627370496) (/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x)))))
(if (<=.f64 x 5224175567749775/4503599627370496) (/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) -35/16))) (.f64 (neg.f64 x) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x)))))
(if (<=.f64 x 5224175567749775/4503599627370496) (/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) -35/16))) (.f64 (sqrt.f64 (PI.f64)) (neg.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 1/2 x) x)))))
(if (<=.f64 x 5404319552844595/4503599627370496) (/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (-.f64 -35/16 (/.f64 15/8 (pow.f64 x 6))))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64))))) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64))))))
(if (<=.f64 x 5404319552844595/4503599627370496) (/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) -35/16))) (.f64 (neg.f64 x) (sqrt.f64 (PI.f64)))) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 (neg.f64 x) (sqrt.f64 (PI.f64)))))
(if (<=.f64 x 5404319552844595/4503599627370496) (/.f64 (+.f64 (/.f64 -21/8 (pow.f64 x 4)) (+.f64 (/.f64 -35/16 (.f64 x x)) (+.f64 (/.f64 -15/8 (pow.f64 x 6)) -35/16))) (.f64 (sqrt.f64 (PI.f64)) (neg.f64 x))) (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x)))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))
(/.f64 (.f64 -1 (exp.f64 (pow.f64 x 2))) (.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (exp.f64 (pow.f64 x 2))) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (exp.f64 (pow.f64 x 2))) (*.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 21/8 (pow.f64 x 5)))
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))

end178.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 674 to 446 computations (33.8% saved)