Details

analyze14.0ms (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)

sample3.2s (18.2%)

Results

2.8s	8256×	body	256	valid
460.0ms	1266×	body	256	invalid

preprocess86.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	321	58
3	1510	52
4	5398	49
5	6315	47
6	7322	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 (pow.f64 (exp.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 (pow.f64 (exp.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 (pow.f64 (exp.f64 x) x) (/.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 15/8 (.f64 x x))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 6)) (+.f64 1 (/.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 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	321	58
3	1510	52
4	5398	49
5	6315	47
6	7322	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 (pow.f64 (exp.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 (pow.f64 (exp.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 (pow.f64 (exp.f64 x) x) (/.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 15/8 (.f64 x x))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 6)) (+.f64 1 (/.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 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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

1.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.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))))))

Status

Error

Program

▶

1.1b

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

Compiler

Compiled 135 to 91 computations (32.6% saved)

localize176.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (/.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)))

Compiler

Compiled 534 to 328 computations (38.6% saved)

series18.0ms (0.1%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))
1.0ms	x	@	inf	(.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))
1.0ms	x	@	-inf	(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
1.0ms	x	@	0	(.f64 (.f64 (/.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)))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
749×	`add-log-exp_binary64`
748×	`log1p-expm1-u_binary64`
748×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	222	18
2	2595	18

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

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

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

582×	`unswap-sqr_binary64`
550×	`associate-/l/_binary64`
509×	`associate-/r/_binary64`
467×	`sqr-pow_binary64`
448×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	312
1	24	264
2	44	264
3	101	264
4	272	264
5	1038	264
6	3250	264
7	4548	264
8	7562	264

Stop Event

1×	node limit

Counts

137 → 104

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 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))
(/.f64 1 (pow.f64 (fabs.f64 x) 3))

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

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	0.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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	(pow.f64 (exp.f64 x) x)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 135 to 66 computations (51.1% saved)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (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	@	-inf	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

270×	`add-sqr-sqrt_binary64`
258×	`pow1_binary64`
257×	`*-un-lft-identity_binary64`
255×	`add-log-exp_binary64`
253×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	69
1	537	61

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs
(pow.f64 (exp.f64 x) x)
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))

Inputs

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

(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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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Outputs

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simplify175.0ms (1%)

Algorithm

1×	egg-herbie

Rules

653×	`associate-/l*_binary64`
442×	`sqr-pow_binary64`
357×	`fma-def_binary64`
348×	`distribute-rgt-out_binary64`
286×	`*-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	71	1001
1	181	888
2	552	736
3	2772	661
4	4666	651
5	5348	651
6	5705	651
7	6551	651
8	7139	635
9	7973	635

Stop Event

1×	node limit

Counts

144 → 138

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 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)))
(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)))
(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)))
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(*.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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(*.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 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
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(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
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(.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))))
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(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
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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 3/4 (pow.f64 x 4)) (+.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 (.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 3/4 (/.f64 (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 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 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (*.f64 (/.f64 15/8 (pow.f64 x 6)) (/.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 (/.f64 15/8 (pow.f64 x 7)) (pow.f64 (exp.f64 x) x)) (.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) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.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 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(/.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)))

eval437.0ms (2.4%)

Compiler: Compiled 28526 to 17550 computations (38.5% saved)

prune166.0ms (0.9%)

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	343	43	386
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	344	44	388

Error

0.3b

Counts

388 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	2.9b	(exp.f64 (+.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)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
	1.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (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)))))
	48.2b	(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
✓	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 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))))))
	2.0b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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	(expm1.f64 (log1p.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))))
	55.5b	(*.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))))))
	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) (log.f64 (exp.f64 (pow.f64 x -3))))) (.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))))))
	1.1b	(/.f64 (.f64 (pow.f64 (exp.f64 x) 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))))) (*.f64 x (sqrt.f64 (PI.f64))))
	1.2b	(/.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 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))))))
	56.0b	(*.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)))))
▶	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	9.0b	(cbrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) 3))
	1.2b	(/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) 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))))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (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)))))
	1.3b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (exp.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))))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	56.4b	(*.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 (.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (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))))))
	2.7b	(.f64 (/.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) (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)))))
	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))))
	9.0b	(.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (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)))))
▶	56.8b	(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))
	9.1b	(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) 3) (pow.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))) 3)) (+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64)) (-.f64 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))))))
	1.1b	(/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) 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))))) (sqrt.f64 (PI.f64)))
	56.8b	(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (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 1 (pow.f64 x -3)) 1))) (.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))))))
	1.5b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))) 3)
▶	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.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)))))))
	4.6b	(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x)) (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	10.0b	(pow.f64 (pow.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) 3) 1/3)
	3.0b	(.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))))))
	4.5b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (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)))))
	41.4b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	2.7b	(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))))) 1)
	4.2b	(.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))))))
▶	1.3b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (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	(.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))))))
▶	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	44.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))

Compiler

Compiled 4035 to 2850 computations (29.4% saved)

localize118.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 15/8 (pow.f64 x 6))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.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)))))))
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.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))))))
	1.0b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 148 to 92 computations (37.8% saved)

series12.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite121.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

283×	`add-sqr-sqrt_binary64`
270×	`add-log-exp_binary64`
270×	`pow1_binary64`
268×	`*-un-lft-identity_binary64`
268×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	94
1	580	79

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs

(*.f64 (/.f64 (pow.f64 (exp.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 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.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 15/8 (pow.f64 x 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 15/8 (pow.f64 x -6))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 15/8 (pow.f64 x -6))) 1) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 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x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3)) (*.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 225/64 (pow.f64 x 12)) (*.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (-.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (*.f64 15/8 (pow.f64 x -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 225/64 (pow.f64 x 12)) (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 2)) (*.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (-.f64 (*.f64 15/8 (pow.f64 x -6)) (fma.f64 3/4 (pow.f64 x -4) (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 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.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 (pow.f64 (exp.f64 x) x) (+.f64 (*.f64 3375/512 (pow.f64 (pow.f64 x -6) 3)) (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3))) (*.f64 x (+.f64 (/.f64 225/64 (pow.f64 x 12)) (*.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (-.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (*.f64 15/8 (pow.f64 x -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (+.f64 (*.f64 3375/512 (pow.f64 (pow.f64 x -6) 3)) (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3))) (*.f64 (neg.f64 x) (+.f64 (/.f64 225/64 (pow.f64 x 12)) (*.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (-.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (*.f64 15/8 (pow.f64 x -6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 (/.f64 225/64 (pow.f64 x 12)) (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 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x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (fma.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 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 3/2) (pow.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (fma.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 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (fma.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 (log.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (fma.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 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))) 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 15/8 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 15/8 (pow.f64 x -6)))))) (#(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))))))

simplify145.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

551×	`associate-*l/_binary64`
507×	`associate-/l*_binary64`
505×	`associate-/r*_binary64`
423×	`associate-*r/_binary64`
409×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	65	944
1	181	826
2	535	734
3	1864	714
4	5631	702
5	6397	682
6	8000	682

Stop Event

1×	node limit

Counts

128 → 135

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

localize36.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 26 computations (23.5% saved)

series39.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))
1.0ms	x	@	0	(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
1.0ms	x	@	-inf	(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
1.0ms	x	@	inf	(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
1.0ms	x	@	-inf	(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
378×	`exp-prod_binary64`
318×	`prod-exp_binary64`
275×	`pow2_binary64`
261×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	234	23
2	2761	23

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14))) (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (PI.f64) -1/6) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/4) (*.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (PI.f64) -1/2)) (/.f64 1 (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 1) (/.f64 (pow.f64 (PI.f64) -1/6) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/4) 1) (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (cbrt.f64 x) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 (cbrt.f64 x) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7/2)) (/.f64 (pow.f64 (PI.f64) -1/6) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 -1/2 (log.f64 (PI.f64))) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 -7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 -7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -7 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -7 (log.f64 x)) (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 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 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))) (log.f64 (sqrt.f64 (exp.f64 (*.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 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))))) (#(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 (/.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 (neg.f64 (pow.f64 (PI.f64) -1/2)) 15/8) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 15/8 (neg.f64 (pow.f64 (PI.f64) -1/2))) (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 (/.f64 1 (PI.f64)) (pow.f64 x -14)) 225/64) 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 (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 (/.f64 1 (PI.f64)) (pow.f64 x -14)) 225/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 (log.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 7 (log.f64 x)) 1)))))))

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

874×	`associate-/l/_binary64`
824×	`unswap-sqr_binary64`
536×	`sqr-pow_binary64`
453×	`*-commutative_binary64`
437×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	420
1	27	348
2	55	348
3	140	348
4	479	348
5	2074	348
6	2300	348
7	2638	348
8	3953	348
9	4064	348
10	4234	348
11	5828	348
12	6180	348
13	6667	348
14	7519	348

Stop Event

1×	node limit

Counts

116 → 96

Calls

Call 1

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

localize102.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	0.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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	(pow.f64 (exp.f64 x) x)
✓	1.0b	(cbrt.f64 (pow.f64 (PI.f64) 3/2))

Compiler

Compiled 145 to 78 computations (46.2% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`add-sqr-sqrt_binary64`
276×	`pow1_binary64`
275×	`add-log-exp_binary64`
274×	`*-un-lft-identity_binary64`
273×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	57
1	581	45

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs

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

(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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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(fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 x (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 1 (*.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 (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 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)) (/.f64 x (pow.f64 (exp.f64 x) 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 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 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)))))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(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 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) (-.f64 (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 (pow.f64 (exp.f64 x) x) (-.f64 1 (pow.f64 (fma.f64 15/8 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simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-/l*_binary64`
597×	`distribute-rgt-out_binary64`
425×	`*-commutative_binary64`
422×	`associate-+l+_binary64`
422×	`sqr-pow_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	741
1	147	634
2	468	486
3	2498	411
4	4283	401
5	5099	385
6	5949	385
7	6439	385
8	7028	385
9	7866	385

Stop Event

1×	node limit

Counts

95 → 99

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

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (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)))))
✓	0.5b	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))
	1.0b	(pow.f64 (exp.f64 x) x)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 172 to 68 computations (60.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`add-sqr-sqrt_binary64`
267×	`pow1_binary64`
265×	`*-un-lft-identity_binary64`
263×	`add-log-exp_binary64`
261×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	53
1	577	47

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 (*.f64 x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 (*.f64 x 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 x 1/2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x x) 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 (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 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (*.f64 15/8 (pow.f64 x -6)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.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 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 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(pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 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))))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 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)))))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(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 (pow.f64 (exp.f64 x) x) (-.f64 1 (pow.f64 (fma.f64 15/8 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simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

658×	`associate-/l*_binary64`
609×	`distribute-rgt-out_binary64`
487×	`*-commutative_binary64`
442×	`associate-+l+_binary64`
426×	`sqr-pow_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	64	836
1	168	723
2	529	571
3	2733	496
4	4636	486
5	5491	470
6	6367	470
7	6859	470
8	7331	470

Stop Event

1×	node limit

Counts

111 → 111

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))))))))

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

localize140.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (exp.f64 x))
✓	0.9b	(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(pow.f64 (cbrt.f64 (exp.f64 x)) x)

Compiler

Compiled 192 to 92 computations (52.1% saved)

series18.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (exp.f64 x)) x)
3.0ms	x	@	inf	(cbrt.f64 (exp.f64 x))
3.0ms	x	@	-inf	(cbrt.f64 (exp.f64 x))
1.0ms	x	@	0	(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (exp.f64 x)) x)

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`pow1_binary64`
609×	`add-log-exp_binary64`
609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
590×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	166	24
2	1861	24

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (exp.f64 x)) x)
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(cbrt.f64 (exp.f64 x))

Outputs

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

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

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

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

961×	`fma-def_binary64`
696×	`distribute-lft-out_binary64`
691×	`distribute-rgt-out_binary64`
664×	`associate-l_binary64`
507×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	337
1	137	315
2	336	307
3	1077	299
4	4961	299

Stop Event

1×	node limit

Counts

97 → 85

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 4)) (+.f64 (.f64 1/3 (pow.f64 x 2)) (*.f64 1/162 (pow.f64 x 6)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
1
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (.f64 2/9 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 4/81 (pow.f64 x 6)) (*.f64 2/9 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 2)) (.f64 1/3 x)))
(+.f64 1 (+.f64 (.f64 1/162 (pow.f64 x 3)) (+.f64 (.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))))
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)

Outputs
1
(+.f64 1 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 1 (.f64 1/3 (.f64 x x)))
(fma.f64 1/3 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/18 (pow.f64 x 4) (.f64 1/3 (.f64 x x))))
(+.f64 (fma.f64 1/3 (.f64 x x) 1) (.f64 1/18 (pow.f64 x 4)))
(fma.f64 1/3 (*.f64 x x) (fma.f64 1/18 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 4)) (+.f64 (.f64 1/3 (pow.f64 x 2)) (*.f64 1/162 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/18 (pow.f64 x 4) (fma.f64 1/3 (.f64 x x) (.f64 1/162 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/3 (.f64 x x) (fma.f64 1/18 (pow.f64 x 4) (.f64 1/162 (pow.f64 x 6)))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 1/162 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 4) 1)))
(fma.f64 1/3 (*.f64 x x) (fma.f64 1/18 (pow.f64 x 4) (fma.f64 1/162 (pow.f64 x 6) 1)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(pow.f64 (cbrt.f64 (exp.f64 x)) x)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(pow.f64 (cbrt.f64 (exp.f64 x)) x)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(pow.f64 (cbrt.f64 (exp.f64 x)) x)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(pow.f64 (cbrt.f64 (exp.f64 x)) x)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(pow.f64 (cbrt.f64 (exp.f64 x)) x)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(pow.f64 (cbrt.f64 (exp.f64 x)) x)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(pow.f64 (cbrt.f64 (exp.f64 x)) x)
(cbrt.f64 (exp.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x))
(pow.f64 (cbrt.f64 (exp.f64 x)) x)
(cbrt.f64 (exp.f64 (*.f64 x x)))
1
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 1)
(fma.f64 2/3 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) 2/3 1)
(fma.f64 x (*.f64 x 2/3) 1)
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (.f64 2/9 (pow.f64 x 4))))
(fma.f64 2/3 (.f64 x x) (+.f64 1 (.f64 (pow.f64 x 4) 2/9)))
(fma.f64 (*.f64 x x) 2/3 (fma.f64 (pow.f64 x 4) 2/9 1))
(fma.f64 x (*.f64 x 2/3) (fma.f64 (pow.f64 x 4) 2/9 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 2/9) 2/3) 1)
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 4/81 (pow.f64 x 6)) (*.f64 2/9 (pow.f64 x 4)))))
(+.f64 (fma.f64 2/3 (.f64 x x) 1) (fma.f64 4/81 (pow.f64 x 6) (.f64 (pow.f64 x 4) 2/9)))
(+.f64 (fma.f64 (.f64 x x) 2/3 1) (fma.f64 (pow.f64 x 4) 2/9 (.f64 (pow.f64 x 6) 4/81)))
(fma.f64 x (*.f64 x 2/3) (fma.f64 (pow.f64 x 4) 2/9 (fma.f64 (pow.f64 x 6) 4/81 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 2/9) 2/3) (fma.f64 (pow.f64 x 6) 4/81 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(pow.f64 (exp.f64 x) (*.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(pow.f64 (exp.f64 x) (*.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(pow.f64 (exp.f64 x) (*.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(pow.f64 (exp.f64 x) (*.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(pow.f64 (exp.f64 x) (*.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(pow.f64 (exp.f64 x) (*.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(pow.f64 (exp.f64 x) (*.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(pow.f64 (exp.f64 x) (*.f64 x 2/3))
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 2)) (.f64 1/3 x)))
(+.f64 1 (fma.f64 1/18 (.f64 x x) (.f64 1/3 x)))
(+.f64 (fma.f64 1/3 x 1) (.f64 x (.f64 x 1/18)))
(fma.f64 1/3 x (fma.f64 x (*.f64 x 1/18) 1))
(fma.f64 x (fma.f64 x 1/18 1/3) 1)
(+.f64 1 (+.f64 (.f64 1/162 (pow.f64 x 3)) (+.f64 (.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))))
(+.f64 1 (fma.f64 1/162 (pow.f64 x 3) (fma.f64 1/18 (.f64 x x) (.f64 1/3 x))))
(+.f64 (fma.f64 1/162 (pow.f64 x 3) (.f64 x (.f64 x 1/18))) (fma.f64 1/3 x 1))
(fma.f64 1/162 (pow.f64 x 3) (fma.f64 1/3 x (fma.f64 x (*.f64 x 1/18) 1)))
(fma.f64 1/3 x (fma.f64 (*.f64 x x) (fma.f64 x 1/162 1/18) 1))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))

eval680.0ms (3.8%)

Compiler: Compiled 25818 to 15272 computations (40.8% saved)

prune264.0ms (1.5%)

Pruning

88 alts after pruning (84 fresh and 4 done)

	Pruned	Kept	Total
New	657	74	731
Fresh	28	10	38
Picked	0	1	1
Done	2	3	5
Total	687	88	775

Error

0.1b

Counts

775 → 88

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) (.f64 (sqrt.f64 (PI.f64)) x))
	2.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (exp.f64 (.f64 x (.f64 x 1/3)))) (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)))))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	2.9b	(exp.f64 (+.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)))) (-.f64 (.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
	2.0b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
✓	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	4.8b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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)))))
	2.9b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) x)) (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)))))
	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3)) x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))
▶	55.5b	(*.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))))))
	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) (log.f64 (exp.f64 (pow.f64 x -3))))) (.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))))))
	2.0b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (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)))))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	4.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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)))))))
	55.5b	(*.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)))))
	2.9b	(.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))))))
	9.0b	(cbrt.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 3) (pow.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)))) 3)))
	56.8b	(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
	1.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
	2.7b	(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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))))))) 1)
	55.5b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))))
	56.8b	(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
	2.7b	(.f64 (/.f64 (/.f64 (.f64 (exp.f64 (.f64 x (.f64 2 (.f64 x 1/3)))) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	56.0b	(*.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)))))
	4.5b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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)))))
	3.0b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	1.1b	(/.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 x (pow.f64 (exp.f64 x) x))))
✓	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	9.0b	(cbrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) 3))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.1b	(.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 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))))))
	2.5b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	3.2b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (pow.f64 (/.f64 (cbrt.f64 15/8) (.f64 x x)) 3) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	56.8b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	41.4b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
	55.5b	(*.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)))))
	9.1b	(.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (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)))))
	56.0b	(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
	1.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (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)))))
	4.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (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)))))
	41.4b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
▶	56.8b	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
	56.8b	(.f64 15/8 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x)))))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))) 3))
	1.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	1.6b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (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)))))
	56.8b	(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
	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 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	8.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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)))))))
	2.1b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))) (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 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) (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	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (.f64 x 1/2) 2)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (.f64 x 1/2) 2)))) (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)))))
	44.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	1.5b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))) 3)
	44.7b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
✓	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.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)))))))
	56.8b	(*.f64 15/8 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2))
	2.1b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (exp.f64 (.f64 x x)))) (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)))))
▶	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	56.8b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	3.0b	(.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))))))
	1.4b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (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)))))
	56.4b	(*.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
	56.4b	(.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)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (.f64 x 1/2)) (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 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (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 (/.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x)) 1) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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 (exp.f64 (.f64 x x)) (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)))))
	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (.f64 -15/8 (/.f64 1 (neg.f64 (pow.f64 x 6)))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	56.8b	(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
✓	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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 (/.f64 (exp.f64 (.f64 x x)) (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)))))
	2.7b	(.f64 (/.f64 (/.f64 (pow.f64 (E.f64) (.f64 x x)) (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 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
▶	1.5b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))) 3)
	1.1b	(/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) 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))))) (sqrt.f64 (PI.f64)))
	2.6b	(.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)))))))
	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.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 x))))
	1.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (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)))))
	48.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
	56.8b	(*.f64 15/8 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21))))
	2.7b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))))
▶	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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 5792 to 4278 computations (26.1% saved)

localize88.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
✓	0.5b	(expm1.f64 (*.f64 15/8 (pow.f64 x -6)))
	1.0b	(pow.f64 (exp.f64 x) x)
✓	9.4b	(log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))

Compiler

Compiled 183 to 124 computations (32.2% saved)

series79.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
57.0ms	x	@	0	(log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))
17.0ms	x	@	inf	(log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))
1.0ms	x	@	0	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
1.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))
1.0ms	x	@	inf	(expm1.f64 (*.f64 15/8 (pow.f64 x -6)))

rewrite191.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`log1p-udef_binary64`
261×	`add-sqr-sqrt_binary64`
251×	`add-log-exp_binary64`
249×	`pow1_binary64`
249×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	55
1	553	49
2	7553	49

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs

(log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))

(expm1.f64 (*.f64 15/8 (pow.f64 x -6)))

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))

Outputs

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x -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 (*.f64 (pow.f64 x -12) 225/64) (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 2))) (-.f64 (*.f64 15/8 (pow.f64 x -6)) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (neg.f64 (pow.f64 (exp.f64 x) x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.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 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.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 (pow.f64 (exp.f64 x) x) x) (fma.f64 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simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

775×	`associate-/r*_binary64`
443×	`associate-l_binary64`
434×	`fma-def_binary64`
352×	`associate-r_binary64`
334×	`associate-/r/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	66	568
1	168	556
2	419	538
3	1265	524
4	6122	522
5	7291	516

Stop Event

1×	node limit

Counts

139 → 126

Calls

Call 1

Inputs
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
0
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
0
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1)
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1)
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1)
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1)
0
(/.f64 15/8 (pow.f64 x 6))
(+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (.f64 225/128 (/.f64 1 (pow.f64 x 12))))
(+.f64 (.f64 1125/1024 (/.f64 1 (pow.f64 x 18))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12)))))
0
(/.f64 15/8 (pow.f64 x 6))
(+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (.f64 225/128 (/.f64 1 (pow.f64 x 12))))
(+.f64 (.f64 1125/1024 (/.f64 1 (pow.f64 x 18))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12)))))
(/.f64 3/4 (pow.f64 x 5))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 5/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (.f64 15/8 (/.f64 1 x)))))
(+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 (+.f64 11/8 (.f64 15/8 (/.f64 1 (pow.f64 x 6)))) x) (.f64 15/8 (/.f64 1 x))))))
(/.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))))))

Outputs
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
0
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
0
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(/.f64 15/8 (pow.f64 x 6))
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1)
(expm1.f64 (/.f64 15/8 (pow.f64 x 6)))
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1)
(expm1.f64 (/.f64 15/8 (pow.f64 x 6)))
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1)
(expm1.f64 (/.f64 15/8 (pow.f64 x 6)))
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1)
(expm1.f64 (/.f64 15/8 (pow.f64 x 6)))
0
(/.f64 15/8 (pow.f64 x 6))
(+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (.f64 225/128 (/.f64 1 (pow.f64 x 12))))
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 225/128 (pow.f64 x 12)))
(+.f64 (.f64 1125/1024 (/.f64 1 (pow.f64 x 18))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12)))))
(+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 225/128 (pow.f64 x 12))) (/.f64 1125/1024 (pow.f64 x 18)))
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 225/128 (pow.f64 x 12)) (/.f64 1125/1024 (pow.f64 x 18))))
(+.f64 (/.f64 225/128 (pow.f64 x 12)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1125/1024 (pow.f64 x 18))))
0
(/.f64 15/8 (pow.f64 x 6))
(+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (.f64 225/128 (/.f64 1 (pow.f64 x 12))))
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 225/128 (pow.f64 x 12)))
(+.f64 (.f64 1125/1024 (/.f64 1 (pow.f64 x 18))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12)))))
(+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 225/128 (pow.f64 x 12))) (/.f64 1125/1024 (pow.f64 x 18)))
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 225/128 (pow.f64 x 12)) (/.f64 1125/1024 (pow.f64 x 18))))
(+.f64 (/.f64 225/128 (pow.f64 x 12)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1125/1024 (pow.f64 x 18))))
(/.f64 3/4 (pow.f64 x 5))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 5/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 5/4 (pow.f64 x 3)))
(+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (.f64 15/8 (/.f64 1 x)))))
(+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 15/8 x))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 15/8 x))))
(+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 x))))
(+.f64 (/.f64 15/8 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 5/4 (pow.f64 x 3)))))
(+.f64 (.f64 5/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 (+.f64 11/8 (.f64 15/8 (/.f64 1 (pow.f64 x 6)))) x) (.f64 15/8 (/.f64 1 x))))))
(+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (fma.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) 11/8) x (/.f64 15/8 x)))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (fma.f64 x (+.f64 (/.f64 15/8 (pow.f64 x 6)) 11/8) (/.f64 15/8 x)))))
(+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (fma.f64 x (+.f64 (/.f64 15/8 (pow.f64 x 6)) 11/8) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 x))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 15/8 x)) (fma.f64 x (+.f64 (/.f64 15/8 (pow.f64 x 6)) 11/8) (/.f64 5/4 (pow.f64 x 3)))))
(+.f64 (+.f64 (fma.f64 x 11/8 (/.f64 15/8 x)) (*.f64 (/.f64 x (pow.f64 x 6)) 21/8)) (+.f64 (/.f64 5/4 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))
(/.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 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 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 (/.f64 1/2 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)))))
(+.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 (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 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(fma.f64 (+.f64 1 (/.f64 (/.f64 1/2 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 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(/.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 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 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 (/.f64 1/2 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)))))
(+.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 (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 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(fma.f64 (+.f64 1 (/.f64 (/.f64 1/2 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 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
✓	0.3b	(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
809×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	195	23
2	2285	23

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

878×	`associate-/l/_binary64`
822×	`unswap-sqr_binary64`
505×	`*-commutative_binary64`
405×	`times-frac_binary64`
399×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	348
1	28	312
2	59	312
3	153	312
4	512	312
5	2242	312
6	2474	312
7	2813	312
8	4124	312
9	4235	312
10	4405	312
11	6053	312
12	6407	312
13	6894	312
14	7763	312

Stop Event

1×	node limit

Counts

58 → 37

Calls

Call 1

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

localize120.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))
✓	0.3b	(*.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))))))
✓	0.3b	(/.f64 35/16 (pow.f64 x 3))
✓	0.3b	(/.f64 15/8 (pow.f64 x 7))

Compiler

Compiled 115 to 91 computations (20.9% saved)

series6.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 35/16 (pow.f64 x 3))
1.0ms	x	@	-inf	(*.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))))))
1.0ms	x	@	inf	(*.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))))))
1.0ms	x	@	0	(*.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))))))
1.0ms	x	@	0	(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))

rewrite123.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`log1p-udef_binary64`
273×	`add-sqr-sqrt_binary64`
260×	`add-log-exp_binary64`
260×	`log1p-expm1-u_binary64`
260×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	76
1	553	63
2	7992	63

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(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 (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 3375/512 (pow.f64 (pow.f64 x -7) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 7) 8/15) -1)))) (#(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 (.f64 3375/512 (pow.f64 (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 -.f64 (exp.f64 (log1p.f64 (.f64 35/16 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 35/16 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 35/16 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 35/16 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 35/16) x) (pow.f64 (/.f64 (cbrt.f64 35/16) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 35/16) x) 2) (/.f64 (cbrt.f64 35/16) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 35/16) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 35/16) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -35/16 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -3) 35/16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 35/16 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 35/16) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 35/16) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 42875/4096 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 16/35) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1225/256 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 35/16) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 35/16 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 42875/4096 (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 35/16 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 35/16 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 35/16 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 35/16 (pow.f64 x -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 35/16 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (/.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (sqrt.f64 (PI.f64))) (/.f64 35/16 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 35/16 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) 1) (.f64 (/.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 35/16 (pow.f64 x -3) (.f64 21/8 (pow.f64 x -5))) (pow.f64 (PI.f64) -1/2)) (.f64 (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 35/16 (pow.f64 x -3) (.f64 21/8 (pow.f64 x -5)))) 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egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 21/8 (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)) (.f64 21/8 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 441/64 (pow.f64 x 10))) (cbrt.f64 (.f64 21/8 (pow.f64 x -5))) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) 2) (cbrt.f64 (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (.f64 21/8 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 21/8) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 21/8) (pow.f64 x 5/2)) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (sqrt.f64 (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (.f64 21/8 (pow.f64 x -5)))))))

simplify164.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-def_binary64`
554×	`associate-/r*_binary64`
544×	`associate-/l*_binary64`
529×	`sqr-pow_binary64`
431×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	690
1	114	564
2	288	516
3	914	516
4	2643	516
5	4774	516
6	5132	516
7	5716	516
8	5901	516
9	6133	516
10	6359	516
11	6683	516
12	7174	516
13	7839	516

Stop Event

1×	node limit

Counts

157 → 156

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

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

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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)))))
✓	0.5b	(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)
	1.0b	(pow.f64 (exp.f64 x) x)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 157 to 79 computations (49.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	53
1	601	47

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs

(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)

(*.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x x) 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 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 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))))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 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)))))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(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 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (pow.f64 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simplify159.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

658×	`associate-/l*_binary64`
609×	`distribute-rgt-out_binary64`
487×	`*-commutative_binary64`
442×	`associate-+l+_binary64`
426×	`sqr-pow_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	64	836
1	168	723
2	529	571
3	2733	496
4	4636	486
5	5491	470
6	6367	470
7	6859	470
8	7331	470

Stop Event

1×	node limit

Counts

103 → 104

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))))))))

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

localize204.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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))))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))) 3)
	1.0b	(pow.f64 (exp.f64 x) x)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 170 to 106 computations (37.6% saved)

series26.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))) 3)
8.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))) 3)
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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))))))
1.0ms	x	@	inf	(cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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))))))

rewrite170.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`prod-diff_binary64`
399×	`log1p-udef_binary64`
238×	`add-sqr-sqrt_binary64`
227×	`add-log-exp_binary64`
226×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	84
1	519	82
2	6111	82

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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)))))) 3)

(cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.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 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(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) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 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simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

111 → 111

Calls

Call 1

Inputs

Outputs

eval629.0ms (3.5%)

Compiler: Compiled 24007 to 16229 computations (32.4% saved)

prune469.0ms (2.6%)

Pruning

106 alts after pruning (99 fresh and 7 done)

	Pruned	Kept	Total
New	627	42	669
Fresh	22	57	79
Picked	0	1	1
Done	2	6	8
Total	651	106	757

Error

0.1b

Counts

757 → 106

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (exp.f64 (.f64 x (.f64 x 1/3)))) (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)))))
	2.1b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	55.5b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
▶	2.0b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) 2)) (cbrt.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))
✓	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	4.8b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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)))))
	2.9b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) x)) (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)))))
	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	10.1b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3))
	2.8b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) x) (sqrt.f64 (PI.f64)))
	2.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3)) x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))
	2.0b	(.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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)))))
	4.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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)))))))
	55.5b	(*.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)))))
	2.9b	(.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))))))
	56.8b	(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
▶	56.6b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
	56.0b	(*.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)))))
	56.8b	(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
	2.7b	(.f64 (/.f64 (/.f64 (.f64 (exp.f64 (.f64 x (.f64 2 (.f64 x 1/3)))) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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 (exp.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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))))))) 1)
	4.5b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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)))))
	3.0b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.1b	(.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 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))))))
	2.5b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
✓	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	9.0b	(cbrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) 3))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8)))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
	2.6b	(.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 x x))) 2) (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)))))
	56.6b	(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	3.2b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (pow.f64 (/.f64 (cbrt.f64 15/8) (.f64 x x)) 3) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	56.8b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	41.4b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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)))))
	1.5b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) 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)))))) 3)
	1.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
	56.0b	(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
	1.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (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)))))
	55.5b	(*.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)))))
	4.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (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)))))
	56.8b	(.f64 15/8 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x)))))
	1.2b	(.f64 (pow.f64 (exp.f64 x) x) (.f64 (/.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))
▶	55.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
	22.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 225/128 (pow.f64 x 12))))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 1))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
	2.8b	(/.f64 1 (/.f64 (.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))))
	56.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x))))
	1.6b	(.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (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 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	8.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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)))))))
	2.1b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))) (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)))))
	56.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))))
	2.7b	(.f64 (/.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) (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)))))
	2.8b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (.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)))))) 3)
	56.4b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
✓	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.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)))))))
	1.6b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 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)))))) 3)
	1.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))
	1.5b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))) 3)
	44.7b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
	2.1b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (exp.f64 (.f64 x x)))) (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	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (expm1.f64 (log1p.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)))))) 3)
✓	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (+.f64 1 (-.f64 (expm1.f64 (.f64 15/8 (pow.f64 x -6))) 1)))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	56.8b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	3.0b	(.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))))))
	1.4b	(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))) (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)))))
	56.4b	(*.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64))))
	41.4b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	56.4b	(.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)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (.f64 x 1/2)) (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)))))
	3.3b	(pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (.f64 x (sqrt.f64 (PI.f64))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64))))))) 3)
▶	1.1b	(/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) x)
	41.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
	1.7b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (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 (/.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x)) 1) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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 (exp.f64 (.f64 x x)) (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))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))) 3))
	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (.f64 -15/8 (/.f64 1 (neg.f64 (pow.f64 x 6)))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	56.8b	(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
✓	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	56.0b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
	2.7b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (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)))))
	2.7b	(.f64 (/.f64 (/.f64 (pow.f64 (E.f64) (.f64 x x)) (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)))))
	44.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	56.8b	(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
✓	1.5b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))) 3)
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	55.5b	(.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 (pow.f64 x -7) 15/8)))))
	56.8b	(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
	56.8b	(/.f64 15/8 (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
✓	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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)))))
	3.2b	(pow.f64 (exp.f64 (.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))) (-.f64 (.f64 x x) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) 1/3)) 3)
	2.6b	(.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)))))))
	3.1b	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64))))))
	1.6b	(.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))) (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))))))
	48.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.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 x))))
▶	2.7b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))

Compiler

Compiled 6655 to 5035 computations (24.3% saved)

localize101.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 130 to 86 computations (33.8% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite160.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`prod-diff_binary64`
368×	`fma-def_binary64`
351×	`expm1-udef_binary64`
351×	`log1p-udef_binary64`
208×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	50
1	430	49
2	5223	47

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs

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

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

Outputs

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simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

589×	`associate-/r*_binary64`
473×	`associate-*l/_binary64`
453×	`associate-/l*_binary64`
390×	`associate-*r/_binary64`
363×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	59	826
1	157	701
2	482	621
3	1936	594
4	5777	578
5	6391	552
6	7006	552

Stop Event

1×	node limit

Counts

163 → 162

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`pow1_binary64`
786×	`add-log-exp_binary64`
786×	`log1p-expm1-u_binary64`
786×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	10
2	2224	10

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x 16/35)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x 16/35) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) -1/2) (*.f64 x 16/35))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 35/16 (*.f64 x (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -35/16 (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -35/16 (*.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 35/16 (sqrt.f64 (PI.f64)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -35/16 (pow.f64 (PI.f64) -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) -35/16) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 3/2) (pow.f64 (/.f64 35/16 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 35/16 x) 3) (pow.f64 (/.f64 1 (PI.f64)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))))))))

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`associate-r_binary64`
8×	`associate-l_binary64`
7×	`associate-/l*_binary64`
6×	`*-commutative_binary64`
4×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	192
1	18	156
2	34	156
3	62	156
4	68	156
5	72	156
6	72	156

Stop Event

1×

saturated

Counts

41 → 31

Calls

Call 1

Inputs
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))

Outputs
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

localize80.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 21/8 (pow.f64 x 5))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
	0.3b	(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))
	0.3b	(/.f64 15/8 (pow.f64 x 7))

Compiler

Compiled 115 to 91 computations (20.9% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 21/8 (pow.f64 x 5))
0.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
0.0ms	x	@	inf	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
0.0ms	x	@	-inf	(/.f64 21/8 (pow.f64 x 5))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`log1p-udef_binary64`
274×	`add-sqr-sqrt_binary64`
261×	`add-log-exp_binary64`
261×	`log1p-expm1-u_binary64`
261×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	45
1	548	38
2	7792	38

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x -3) 35/16) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (pow.f64 x -3) 35/16) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x -3) 35/16) (sqrt.f64 (PI.f64))) 1) (*.f64 (/.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 x -3) 35/16 (/.f64 21/8 (pow.f64 x 5))) (pow.f64 (PI.f64) -1/2)) (*.f64 (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 (pow.f64 x -3) 35/16 (/.f64 21/8 (pow.f64 x 5)))) (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x -3) 35/16 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x -3) 35/16 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 42875/4096 (pow.f64 (pow.f64 x -3) 3)) (pow.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) 3)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1225/256 (pow.f64 x -6)) (*.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (-.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (*.f64 (pow.f64 x -3) 35/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1225/256 (pow.f64 x -6)) (pow.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) 2)) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 (*.f64 (pow.f64 x -3) 35/16) (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 42875/4096 (pow.f64 (pow.f64 x -3) 3)) (pow.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) 3)) 1) (*.f64 (+.f64 (*.f64 1225/256 (pow.f64 x -6)) (*.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (-.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (*.f64 (pow.f64 x -3) 35/16)))) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1225/256 (pow.f64 x -6)) (pow.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) 2)) 1) (*.f64 (-.f64 (*.f64 (pow.f64 x -3) 35/16) (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x -3) 35/16 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x -3) 35/16 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x -3) 35/16 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x -3) 35/16 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x)))) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (pow.f64 x -3) 35/16) (/.f64 (fma.f64 21/8 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (/.f64 35/16 x))) (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 21/8 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 21/8 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 21/8 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 21/8 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 21/8 (pow.f64 x 5))) (cbrt.f64 (/.f64 441/64 (pow.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 441/64 (pow.f64 x 10))) (cbrt.f64 (/.f64 21/8 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 21/8) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 21/8) (pow.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -21/8 (/.f64 1 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) 21/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 21/8 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 21/8 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 21/8) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 9261/512 (pow.f64 (pow.f64 x 5) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5) 8/21) -1)))) (#(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 21/8 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 9261/512 (pow.f64 (pow.f64 x 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 21/8 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 21/8 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 21/8 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 21/8 (pow.f64 x 5))) 1))))))

simplify145.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-def_binary64`
546×	`associate-/l*_binary64`
529×	`sqr-pow_binary64`
522×	`associate-/r*_binary64`
387×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	541
1	89	375
2	256	327
3	907	327
4	2642	327
5	4719	327
6	5075	327
7	5659	327
8	5844	327
9	6076	327
10	6302	327
11	6626	327
12	7117	327
13	7782	327

Stop Event

1×	node limit

Counts

67 → 69

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 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (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 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (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 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 35/16 (.f64 (/.f64 1 (pow.f64 x 3)) (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 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (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))))))))

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

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	0.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	1.0b	(pow.f64 (exp.f64 x) x)
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 150 to 75 computations (50% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

289×	`add-sqr-sqrt_binary64`
275×	`pow1_binary64`
274×	`add-log-exp_binary64`
273×	`*-un-lft-identity_binary64`
272×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	47
1	605	41

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

Inputs

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

Outputs

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

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-/l*_binary64`
597×	`distribute-rgt-out_binary64`
425×	`*-commutative_binary64`
422×	`associate-+l+_binary64`
422×	`sqr-pow_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	741
1	147	634
2	468	486
3	2498	411
4	4283	401
5	5099	385
6	5949	385
7	6439	385
8	7028	385
9	7866	385

Stop Event

1×	node limit

Counts

74 → 78

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

localize769.0ms (4.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))
	1.0b	(pow.f64 (exp.f64 x) x)
	1.0b	(sqrt.f64 (PI.f64))
✓	2.6b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))))

Compiler

Compiled 168 to 104 computations (38.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))))
1.0ms	x	@	0	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))))
1.0ms	x	@	inf	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))))
0.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))
0.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.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)))))

rewrite851.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

421×	`fma-def_binary64`
386×	`expm1-udef_binary64`
386×	`log1p-udef_binary64`
332×	`log-pow_binary64`
227×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	82
1	471	80
2	5840	76

Stop Event

1×	node limit

Counts

2 → 289

Calls

Call 1

Inputs

(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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)))))))

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

Outputs

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

simplify176.0ms (1%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac_binary64`
447×	`associate-*l/_binary64`
436×	`associate-/r*_binary64`
434×	`unswap-sqr_binary64`
432×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	49	1238
1	129	1022
2	397	894
3	1547	858
4	6042	822
5	7003	802

Stop Event

1×	node limit

Counts

313 → 172

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

eval1.5s (8.3%)

Compiler: Compiled 28141 to 17613 computations (37.4% saved)

prune409.0ms (2.3%)

Pruning

120 alts after pruning (112 fresh and 8 done)

	Pruned	Kept	Total
New	737	35	772
Fresh	17	77	94
Picked	1	0	1
Done	3	8	11
Total	758	120	878

Error

0.1b

Counts

878 → 120

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (exp.f64 (.f64 x (.f64 x 1/3)))) (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)))))
	2.1b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	55.5b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
✓	2.0b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) 2)) (cbrt.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))
✓	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	1.9b	(/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) x)
	4.8b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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)))))
	2.9b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) x)) (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)))))
	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	10.1b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3))
	2.8b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) x) (sqrt.f64 (PI.f64)))
	2.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3)) x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))
	56.6b	(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
	2.0b	(.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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)))))
	4.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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)))))))
	55.5b	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 35/16 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x)))))) x)
	2.2b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (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)))))
	2.9b	(.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))))))
	41.4b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
	56.8b	(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
	56.6b	(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
	2.7b	(.f64 (/.f64 (/.f64 (.f64 (exp.f64 (.f64 x (.f64 2 (.f64 x 1/3)))) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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)))))
	56.8b	(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
	2.6b	(/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) x)
	4.5b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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)))))
	55.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (+.f64 (*.f64 (pow.f64 x -5) 21/8) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
✓	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.1b	(.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 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))))))
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✓	2.8b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (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 (/.f64 (exp.f64 (.f64 x x)) (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)))))
	2.7b	(.f64 (/.f64 (/.f64 (pow.f64 (E.f64) (.f64 x x)) (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)))))
	44.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	2.8b	(exp.f64 (-.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))))) (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))
	56.8b	(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
	56.8b	(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
	48.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
	56.6b	(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
	56.8b	(/.f64 15/8 (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
✓	1.3b	(.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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)))))
	3.2b	(pow.f64 (exp.f64 (.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))) (-.f64 (.f64 x x) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) 1/3)) 3)
	2.6b	(.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)))))))
	44.7b	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)
	56.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
	1.6b	(.f64 (.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))) (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))))))
	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.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 x))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 15/8 (pow.f64 x -6))))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))

Compiler

Compiled 3708 to 2785 computations (24.9% saved)

regimes1.6s (9%)

Counts

196 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
(/.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 x 16/35) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(-.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (/.f64 35/16 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(*.f64 15/8 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21))))
(/.f64 15/8 (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
(*.f64 15/8 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(.f64 15/8 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 1/2 (*.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 (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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x))))) x)
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 35/16 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x)))))) x)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) x)
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 x -3) 35/16) (+.f64 (*.f64 (pow.f64 x -5) 21/8) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
(*.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 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (.f64 (pow.f64 x -7) 15/8)))))
(*.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 35/16 x) (+.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 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 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 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (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 (/.f64 (exp.f64 (.f64 x x)) (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 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.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 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x 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 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6)))))))
(.f64 (/.f64 (/.f64 (pow.f64 (E.f64) (.f64 x x)) (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 (pow.f64 (exp.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 (/.f64 (exp.f64 (.f64 x x)) (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)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (.f64 -15/8 (/.f64 1 (neg.f64 (pow.f64 x 6)))) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.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 x))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
(.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 x x))) 2) (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 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (pow.f64 (/.f64 (cbrt.f64 15/8) (.f64 x x)) 3) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
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(.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))))))
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(.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 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) 3) (pow.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))) 3)) (+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64)) (-.f64 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))))))

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

Calls

4 calls:

543.0ms	(fabs.f64 x)
414.0ms	(.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))))))
275.0ms	(fabs.f64 x)
164.0ms	x

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	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))))))
1.1b	1	`(fabs.f64 x)`
1.1b	1	`(fabs.f64 x)`

Compiler

Compiled 6520 to 3922 computations (39.8% saved)

regimes107.0ms (0.6%)

Counts

69 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
(/.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 x 16/35) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(-.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (/.f64 35/16 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(*.f64 15/8 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21))))
(/.f64 15/8 (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
(*.f64 15/8 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(.f64 15/8 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 1/2 (*.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 (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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x))))) x)
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 35/16 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x)))))) x)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) x)
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 x -3) 35/16) (+.f64 (*.f64 (pow.f64 x -5) 21/8) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
(*.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 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (.f64 (pow.f64 x -7) 15/8)))))
(*.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 35/16 x) (+.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 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 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 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (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 (/.f64 (exp.f64 (.f64 x x)) (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 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.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 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (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:

73.0ms

Results

Error	Segments	Branch
1.1b	1	`x`

Compiler

Compiled 1258 to 875 computations (30.4% saved)

regimes130.0ms (0.7%)

Counts

68 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
(/.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 x 16/35) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(-.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (/.f64 35/16 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(*.f64 15/8 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21))))
(/.f64 15/8 (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
(*.f64 15/8 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(.f64 15/8 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 1/2 (*.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 (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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x))))) x)
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 35/16 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x)))))) x)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) x)
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 x -3) 35/16) (+.f64 (*.f64 (pow.f64 x -5) 21/8) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
(*.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 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (.f64 (pow.f64 x -7) 15/8)))))
(*.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 35/16 x) (+.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 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 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 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (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 (/.f64 (exp.f64 (.f64 x x)) (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 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.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 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))

Outputs
(.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)))))))

Calls

1 calls:

76.0ms

Results

Error	Segments	Branch
2.6b	1	`x`

Compiler

Compiled 1228 to 860 computations (30% saved)

regimes82.0ms (0.5%)

Counts

67 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
(/.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 x 16/35) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(-.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (/.f64 35/16 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(*.f64 15/8 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21))))
(/.f64 15/8 (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
(*.f64 15/8 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(.f64 15/8 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 1/2 (*.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 (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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x))))) x)
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 35/16 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x)))))) x)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) x)
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 x -3) 35/16) (+.f64 (*.f64 (pow.f64 x -5) 21/8) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
(*.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 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (.f64 (pow.f64 x -7) 15/8)))))
(*.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 35/16 x) (+.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 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 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 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (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 (/.f64 (exp.f64 (.f64 x x)) (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 (exp.f64 (.f64 x x)) x)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4))))))

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

Calls

1 calls:

50.0ms

Results

Error	Segments	Branch
2.6b	1	`x`

Compiler

Compiled 1197 to 841 computations (29.7% saved)

regimes83.0ms (0.5%)

Counts

66 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
(/.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 x 16/35) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(-.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (/.f64 35/16 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(*.f64 15/8 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21))))
(/.f64 15/8 (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
(*.f64 15/8 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(.f64 15/8 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 1/2 (*.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 (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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x))))) x)
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 35/16 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x)))))) x)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) x)
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 x -3) 35/16) (+.f64 (*.f64 (pow.f64 x -5) 21/8) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
(*.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 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (.f64 (pow.f64 x -7) 15/8)))))
(*.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 35/16 x) (+.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 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 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 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (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 (/.f64 (exp.f64 (.f64 x x)) (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 (/.f64 (exp.f64 (.f64 x x)) (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:

48.0ms

Results

Error	Segments	Branch
2.6b	1	`x`

Compiler

Compiled 1166 to 822 computations (29.5% saved)

regimes83.0ms (0.5%)

Counts

64 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
(/.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 x 16/35) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(-.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (/.f64 35/16 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(*.f64 15/8 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21))))
(/.f64 15/8 (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
(*.f64 15/8 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(.f64 15/8 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 1/2 (*.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 (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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x))))) x)
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 3/4 (pow.f64 x 4)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 35/16 (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x)))))) x)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) x)
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 x -3) 35/16) (+.f64 (*.f64 (pow.f64 x -5) 21/8) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7))))))
(*.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 (pow.f64 x -3) 35/16) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (.f64 (pow.f64 x -7) 15/8)))))
(*.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 35/16 x) (+.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 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 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 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))

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

Calls

1 calls:

44.0ms

Results

Error	Segments	Branch
41.4b	1	`x`

Compiler

Compiled 1106 to 794 computations (28.2% saved)

regimes51.0ms (0.3%)

Counts

44 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
(/.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 x 16/35) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(-.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (/.f64 35/16 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x)) (+.f64 1 (/.f64 1/2 (.f64 x x))))
(*.f64 15/8 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21))))
(/.f64 15/8 (pow.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7/2)) 2))
(*.f64 15/8 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2))
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))
(.f64 15/8 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x)))))
(.f64 15/8 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (/.f64 1/2 (*.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 (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 (pow.f64 x -3) 35/16) (+.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 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 4)) (+.f64 35/16 (/.f64 21/8 (.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 4)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 35/16 (.f64 x x))))) x)
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))))

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

Calls

1 calls:

33.0ms

Results

Error	Segments	Branch
44.7b	1	`x`

Compiler

Compiled 599 to 425 computations (29% saved)

regimes20.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
(/.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 x 16/35) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(-.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (pow.f64 x -3) 35/16) (/.f64 35/16 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 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
48.2b	1	`x`

Compiler

Compiled 199 to 140 computations (29.6% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.5b remaining (-0.8%)

Threshold costs -0.5b (-0.8%)

Counts

17 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))
(/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) x)
(/.f64 1 (/.f64 x (/.f64 35/16 (sqrt.f64 (PI.f64)))))
(/.f64 1 (.f64 (.f64 x 16/35) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))
(-.f64 (+.f64 1 (/.f64 35/16 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))
(.f64 15/8 (.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)
(*.f64 15/8 (+.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))

Outputs
(/.f64 (/.f64 35/16 x) (sqrt.f64 (PI.f64)))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
56.6b	1	`x`

Compiler

Compiled 148 to 102 computations (31.1% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	335
1	79	335

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 223 to 164 computations (26.5% saved)

soundness460.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
626×	`associate-*l/_binary64`
589×	`associate-/r*_binary64`
473×	`associate-*l/_binary64`
454×	`associate-*r/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	321	58
3	1510	52
4	5398	49
5	6315	47
6	7322	47
0	59	826
1	157	701
2	482	621
3	1936	594
4	5777	578
5	6391	552
6	7006	552

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 6252 to 4368 computations (30.1% saved)

end181.0ms (1%)

Compiler: Compiled 215 to 127 computations (40.9% saved)