Details

analyze13.0ms (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)

sample4.6s (29.1%)

Results

4.1s	8256×	body	256	valid
479.0ms	1254×	body	256	invalid

preprocess129.0ms (0.8%)

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)

simplify111.0ms (0.7%)

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

1.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(.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)))))
▶	2.8b	(.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

▶

1.3b

(*.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)))))

▶

2.8b

(*.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)

localize210.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))
✓	0.5b	(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	2.5b	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

Compiler

Compiled 534 to 328 computations (38.6% saved)

series9.0ms (0.1%)

Counts

4 → 36

Calls

9 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`pow1_binary64`
829×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
113×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	246	21
2	2927	21

Stop Event

1×	node limit

Counts

4 → 105

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

792×	`associate-/l*_binary64`
538×	`unswap-sqr_binary64`
493×	`sqr-pow_binary64`
393×	`associate-/r/_binary64`
371×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	312
1	19	264
2	35	264
3	95	264
4	344	240
5	1284	240
6	2810	240
7	3809	240
8	6870	240

Stop Event

1×	node limit

Counts

141 → 108

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) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))

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) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))
(/.f64 1 (pow.f64 (fabs.f64 x) 4))
(/.f64 1 (pow.f64 x 4))

localize51.0ms (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)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 135 to 66 computations (51.1% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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	@	-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	(.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))

rewrite100.0ms (0.6%)

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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simplify131.0ms (0.8%)

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)))

eval482.0ms (3.1%)

Compiler: Compiled 26209 to 16143 computations (38.4% saved)

prune211.0ms (1.3%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	327	38	365
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	328	39	367

Error

0.3b

Counts

367 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	2.8b	(.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 (log.f64 (exp.f64 (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
▶	1.2b	(.f64 (/.f64 (/.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)))))
	2.9b	(.f64 (.f64 (/.f64 1 (expm1.f64 (log1p.f64 (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))))))
	55.3b	(*.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))))))
✓	1.3b	(.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	(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)))))))
	1.3b	(/.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))))
	55.9b	(*.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 (/.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)))))
	1.4b	(.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)))))
▶	1.6b	(/.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))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
	9.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.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))))))
	56.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
	1.5b	(.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)))))
	9.1b	(.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)))
	1.3b	(/.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)))))
	1.3b	(.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))))
▶	1.2b	(.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)))))))
	1.7b	(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)
	4.9b	(.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)))))
	10.1b	(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)
	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)) (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)))))
	41.3b	(.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)))))
	1.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 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 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 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -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)))))
	2.8b	(.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 (pow.f64 (/.f64 1 x) 4) (/.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 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 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 x 4)))) 1) (/.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))))))
	1.7b	(.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))))))
	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)))))
	3.0b	(.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))))))
	1.7b	(.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)))))
	48.3b	(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (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)))))
▶	3.1b	(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)))))))
	10.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 1/3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Compiler

Compiled 3525 to 2546 computations (27.8% saved)

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
	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 (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	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 149 to 82 computations (45% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
1.0ms	x	@	0	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
1.0ms	x	@	-inf	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
1.0ms	x	@	0	(.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)))))
0.0ms	x	@	-inf	(.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)))))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

296×	`add-sqr-sqrt_binary64`
285×	`pow1_binary64`
283×	`add-log-exp_binary64`
282×	`*-un-lft-identity_binary64`
281×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	66
1	606	56

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs

(*.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 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))

Outputs

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

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

402×	`fma-def_binary64`
364×	`associate-+l+_binary64`
328×	`distribute-rgt-out_binary64`
322×	`*-commutative_binary64`
285×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	1059
1	192	942
2	607	736
3	3046	634
4	4442	624
5	5238	624
6	5721	624
7	7102	624
8	7767	624

Stop Event

1×	node limit

Counts

121 → 121

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

localize19.0ms (0.1%)

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)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (0.4%)

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)))))))

simplify110.0ms (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)))))

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 3/4 (pow.f64 x 4))
✓	0.3b	(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
✓	0.3b	(.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))))))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 148 to 92 computations (37.8% saved)

series25.0ms (0.2%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	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))))))
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 3/4 (pow.f64 x 4))
0.0ms	x	@	0	(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

396×	`expm1-udef_binary64`
396×	`log1p-udef_binary64`
241×	`add-sqr-sqrt_binary64`
232×	`add-log-exp_binary64`
230×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	493	55
2	7184	55

Stop Event

1×	node limit

Counts

3 → 122

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 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))

(/.f64 3/4 (pow.f64 x 4))

Outputs

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(*.f64 1/2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) (/.f64 9/16 (pow.f64 x 8))) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -4) 1) (fma.f64 3/4 (pow.f64 x -4) 1)) (/.f64 1/4 (pow.f64 x 4))) (-.f64 (fma.f64 3/4 (pow.f64 x -4) 1) (*.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (cbrt.f64 (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 pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (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 sqrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (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 (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 (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 (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 (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 (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 fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/4 (pow.f64 x -4)) (fma.f64 1/2 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 (pow.f64 x -2) 1) (*.f64 3/4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 x -2) 1)) 2) (cbrt.f64 (fma.f64 1/2 (pow.f64 x -2) 1)) (*.f64 3/4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))) (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) (fma.f64 1/2 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) (*.f64 3/4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 3/4) (*.f64 x x)) (/.f64 (sqrt.f64 3/4) (*.f64 x x)) (fma.f64 1/2 (pow.f64 x -2) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 3/4 (pow.f64 x -4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/4 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/4 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))) (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 3/4) (*.f64 x x)) (/.f64 (sqrt.f64 3/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/4 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/4 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 3/4) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27/64 (pow.f64 x 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9/16 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 27/64 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))) 1))))))

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

709×	`associate-*l/_binary64`
655×	`associate-l_binary64`
646×	`fma-def_binary64`
555×	`associate-r_binary64`
535×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	502
1	129	490
2	300	472
3	700	458
4	2249	452
5	7160	452

Stop Event

1×	node limit

Counts

146 → 145

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 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 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))

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

localize69.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
✓	0.4b	(*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))
	1.0b	(sqrt.f64 (PI.f64))
✓	2.6b	(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)))))))

Compiler

Compiled 137 to 83 computations (39.4% saved)

series89.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
36.0ms	x	@	-inf	(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
6.0ms	x	@	inf	(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
5.0ms	x	@	0	(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)))))))
1.0ms	x	@	inf	(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)))))))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`fma-def_binary64`
377×	`expm1-udef_binary64`
377×	`log1p-udef_binary64`
320×	`log-pow_binary64`
311×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	452	63
2	5527	61

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

(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)))))))

(*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))

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

Outputs

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

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def_binary64`
510×	`times-frac_binary64`
368×	`associate-*l/_binary64`
301×	`associate-/l*_binary64`
295×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	887
1	166	831
2	391	729
3	1511	690
4	6795	675

Stop Event

1×	node limit

Counts

112 → 95

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))
(+.f64 (.f64 7/5 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))))
(+.f64 (.f64 7/5 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (.f64 7/6 (.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4)))))
(+.f64 (.f64 7/5 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (.f64 7/6 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))) (+.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (.f64 7/6 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 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)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 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)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 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)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 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)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (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))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))))

Outputs
(exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))
(exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 x -6) x) (/.f64 15/8 (sqrt.f64 (PI.f64))))
(*.f64 15/8 (/.f64 (/.f64 (pow.f64 x -6) x) (sqrt.f64 (PI.f64))))
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 7/5 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))))
(fma.f64 7/5 (.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (.f64 x x)) (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(fma.f64 7/5 (.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 x (sqrt.f64 (PI.f64)))) (.f64 x x)) (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (+.f64 (.f64 x (.f64 x 7/5)) 1) (.f64 (/.f64 (pow.f64 x -6) x) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x 7/5) 1) (pow.f64 x -6)) (/.f64 x (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x 7/5) 1) (/.f64 15/8 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 7/5 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (.f64 7/6 (.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4)))))
(+.f64 (fma.f64 7/5 (.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (.f64 x x)) (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))) (.f64 7/6 (.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4))))
(fma.f64 7/5 (.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 x (sqrt.f64 (PI.f64)))) (.f64 x x)) (fma.f64 7/6 (.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 4)) (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 x (sqrt.f64 (PI.f64))))))
(fma.f64 (pow.f64 x -6) (/.f64 15/8 (.f64 x (sqrt.f64 (PI.f64)))) (.f64 (.f64 (/.f64 (pow.f64 x -6) x) (/.f64 15/8 (sqrt.f64 (PI.f64)))) (+.f64 (.f64 x (.f64 x 7/5)) (.f64 7/6 (pow.f64 x 4)))))
(.f64 (.f64 15/8 (/.f64 (/.f64 (pow.f64 x -6) x) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 x (.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1)))
(.f64 (.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 x (.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1)))
(+.f64 (.f64 7/5 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (.f64 7/6 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))) (+.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (.f64 7/6 (.f64 (exp.f64 (-.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))))))
(fma.f64 7/5 (.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (.f64 x x)) (fma.f64 7/6 (.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 6)) (+.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (.f64 7/6 (.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4))))))
(fma.f64 7/5 (.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 x (sqrt.f64 (PI.f64)))) (.f64 x x)) (fma.f64 7/6 (.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 6)) (fma.f64 7/6 (.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 4)) (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 x (sqrt.f64 (PI.f64)))))))
(+.f64 (.f64 (+.f64 (.f64 x (.f64 x 7/5)) 1) (.f64 (/.f64 (pow.f64 x -6) x) (/.f64 15/8 (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (.f64 35/16 (pow.f64 x -6)) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(fma.f64 (.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 x -6) x)) (+.f64 (pow.f64 x 4) (pow.f64 x 6)) (/.f64 (.f64 (fma.f64 x (*.f64 x 7/5) 1) (pow.f64 x -6)) (/.f64 x (/.f64 15/8 (sqrt.f64 (PI.f64))))))
(fma.f64 (.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) (+.f64 (pow.f64 x 4) (pow.f64 x 6)) (/.f64 (.f64 (fma.f64 x (*.f64 x 7/5) 1) (/.f64 15/8 (pow.f64 x 7))) (sqrt.f64 (PI.f64))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 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) (.f64 x x)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 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) (.f64 x x)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 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) (.f64 x x)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 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) (.f64 x x)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(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)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))) (-.f64 (.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (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 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) (/.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)))
(fma.f64 1/2 (pow.f64 x -2) (/.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)))
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(*.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 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) (/.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)))
(fma.f64 1/2 (pow.f64 x -2) (/.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)))
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(*.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 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) (/.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)))
(fma.f64 1/2 (pow.f64 x -2) (/.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)))
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4)))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (sqrt.f64 (PI.f64)))))
(log.f64 (*.f64 x (sqrt.f64 (PI.f64))))

localize130.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.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))))) (cbrt.f64 (PI.f64)))
✓	1.0b	(cbrt.f64 (PI.f64))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 164 to 105 computations (36% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.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))))) (cbrt.f64 (PI.f64)))

1.0ms

inf

(/.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))))) (cbrt.f64 (PI.f64)))

1.0ms

-inf

(/.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))))) (cbrt.f64 (PI.f64)))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`prod-diff_binary64`
378×	`log1p-udef_binary64`
223×	`add-sqr-sqrt_binary64`
212×	`add-log-exp_binary64`
211×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	45
1	457	44
2	5845	44

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(cbrt.f64 (PI.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))))) (cbrt.f64 (PI.f64)))

Outputs

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x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 (cbrt.f64 (PI.f64)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cbrt.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))))))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.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) (neg.f64 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 (cbrt.f64 (PI.f64)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 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simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

700×	`associate-*r/_binary64`
608×	`unswap-sqr_binary64`
564×	`associate-/r*_binary64`
399×	`distribute-rgt-out_binary64`
313×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	619
1	148	589
2	471	511
3	2010	453
4	5560	443
5	6139	443
6	7431	443

Stop Event

1×	node limit

Counts

76 → 80

Calls

Call 1

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

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

eval461.0ms (2.9%)

Compiler: Compiled 23083 to 14868 computations (35.6% saved)

prune251.0ms (1.6%)

Pruning

85 alts after pruning (84 fresh and 1 done)

	Pruned	Kept	Total
New	621	71	692
Fresh	20	13	33
Picked	0	1	1
Done	5	0	5
Total	646	85	731

Error

0.2b

Counts

731 → 85

Alt Table

Click to see full alt table

Status	Error	Program
	48.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
	56.8b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (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)))))))
	1.3b	(.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 (/.f64 (sqrt.f64 3/4) (.f64 x x)) (/.f64 (sqrt.f64 3/4) (.f64 x x))) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	3.2b	(/.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 (cbrt.f64 (PI.f64)) x))) 3) (cbrt.f64 (sqrt.f64 (PI.f64))))
	55.3b	(*.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))))))
	2.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1) 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)))))))
	1.3b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	55.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
	55.9b	(.f64 (.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 x (.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1)))
	1.2b	(.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)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))
▶	1.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3)))))
▶	2.9b	(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (cbrt.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	(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 (.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))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
	1.5b	(.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 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))))
	1.3b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))) (+.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)))))
	55.9b	(*.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)))))
	1.3b	(.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 (+.f64 1 (.f64 -1/2 (pow.f64 x -2))) (.f64 (.f64 (pow.f64 x 4) 4/3) (-.f64 1 (/.f64 1/4 (pow.f64 x 4))))) (.f64 (.f64 (pow.f64 x 4) 4/3) (+.f64 1 (.f64 -1/2 (pow.f64 x -2))))))))
	2.8b	(.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)))) (+.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)))
	1.4b	(.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)))))
	1.5b	(.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)))))
	1.8b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	1.6b	(/.f64 (/.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))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
	1.6b	(.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)))))))
	9.1b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.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	(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)
	55.6b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.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 x -7) (sqrt.f64 (PI.f64))))
	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)) (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)))))
	9.1b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.3b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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)))))
	1.2b	(.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 (log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
	1.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2))))
	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/4))) (+.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) 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)))
	56.3b	(.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.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 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.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))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
	1.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) (*.f64 3/4 (pow.f64 x -4))))))
	3.0b	(/.f64 (.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 (cbrt.f64 (PI.f64)) x)) 1) (cbrt.f64 (sqrt.f64 (PI.f64))))
	1.3b	(.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 (exp.f64 (log1p.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) 1))))
	2.9b	(pow.f64 (cbrt.f64 (/.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))))) 3)
	2.8b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	1.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 3))))
	1.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	4.8b	(.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (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)))))
	48.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
	4.8b	(.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)))))))
	4.8b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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)))))
	1.3b	(.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.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)))))
	55.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
	1.8b	(.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)))))
	41.3b	(.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)))))
	3.1b	(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))) (-.f64 (.f64 x x) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
	3.0b	(/.f64 (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
	1.3b	(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1) (+.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 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x 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 (/.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)))))))
	43.6b	(.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 1 (/.f64 1/2 (*.f64 x x))))))
	41.3b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	2.8b	(.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)))))
	2.8b	(.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 (pow.f64 (/.f64 1 x) 4) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.9b	(/.f64 (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
	1.4b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.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 (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 (/.f64 27/64 (pow.f64 x 12)) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3)) (+.f64 (/.f64 9/16 (pow.f64 x 8)) (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (.f64 3/4 (pow.f64 x -4)))))))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 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 (pow.f64 (cbrt.f64 (/.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))))) 2) (cbrt.f64 (/.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))))))
	9.0b	(.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)))))))
	2.7b	(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)))))))
	47.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1)))
	44.7b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
	56.8b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	2.7b	(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
▶	2.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
	10.2b	(.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) 3) 1/3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (expm1.f64 (log1p.f64 (.f64 (/.f64 (exp.f64 (*.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)))))))
▶	1.2b	(.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 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))))
	3.0b	(.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))))))
	1.7b	(.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)))))
	48.3b	(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (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)))))

Compiler

Compiled 5746 to 4313 computations (24.9% saved)

localize93.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 15/8 (pow.f64 x 6))
	0.3b	(/.f64 3/4 (pow.f64 x 4))
✓	0.3b	(.f64 (/.f64 (pow.f64 (exp.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))))))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 152 to 95 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 15/8 (pow.f64 x 6))
0.0ms	x	@	0	(.f64 (/.f64 (pow.f64 (exp.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))))))
0.0ms	x	@	inf	(/.f64 15/8 (pow.f64 x 6))
0.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (exp.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))))))
0.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (exp.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))))))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

402×	`log1p-udef_binary64`
244×	`add-sqr-sqrt_binary64`
235×	`add-log-exp_binary64`
233×	`log1p-expm1-u_binary64`
233×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	498	42
2	7341	42

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (exp.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 15/8 (pow.f64 x 6))

Outputs

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

873×	`associate-/l*_binary64`
603×	`fma-def_binary64`
487×	`associate-*l/_binary64`
369×	`associate-l_binary64`
326×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	343
1	105	331
2	255	313
3	623	299
4	1868	293
5	6277	293
6	7063	293
7	8000	293

Stop Event

1×	node limit

Counts

84 → 87

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))))))

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

localize12.0ms (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)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`pow1_binary64`
855×	`add-log-exp_binary64`
855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	194	23
2	2326	23

Stop Event

1×	node limit

Counts

2 → 51

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

simplify109.0ms (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

75 → 55

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)))))

localize50.0ms (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 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.0b	(sqrt.f64 (PI.f64))
✓	2.5b	(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))

Compiler

Compiled 138 to 65 computations (52.9% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite181.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

426×	`log1p-udef_binary64`
256×	`add-sqr-sqrt_binary64`
244×	`pow1_binary64`
243×	`*-un-lft-identity_binary64`
242×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	509	56
2	7470	56

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs

(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (*.f64 15/8 (pow.f64 x -6))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (fma.f64 3/4 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simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

589×	`associate-*l/_binary64`
447×	`associate-+r+_binary64`
444×	`associate-+l+_binary64`
425×	`associate-/l/_binary64`
411×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	1187
1	230	938
2	736	779
3	3363	673
4	7019	670

Stop Event

1×	node limit

Counts

92 → 92

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x)
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2)))
(+.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)))
(.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (fma.f64 x x 1))
(/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))))
(fma.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x))))
(fma.f64 (/.f64 1/2 (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4) (.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(/.f64 (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))) (.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2)) (.f64 1/6 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))))))
(fma.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (fma.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x) (.f64 1/6 (.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))))))
(+.f64 (fma.f64 (/.f64 1/2 (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4) (.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 (pow.f64 x 6) (/.f64 1/6 (.f64 (sqrt.f64 (PI.f64)) x))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 x 4) x) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 (fma.f64 x x 1) (.f64 1/6 (pow.f64 x 6)))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 (fma.f64 x x 1) (+.f64 (.f64 1/6 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
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(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6)))
(.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)))
(/.f64 (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6))
(/.f64 15/8 (.f64 (.f64 (pow.f64 x 6) (sqrt.f64 (PI.f64))) x))
(/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))
(+.f64 (.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6)))))
(fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (.f64 15/8 (+.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)))))
(+.f64 (/.f64 (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (.f64 (/.f64 (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) 21/8))
(+.f64 (/.f64 15/8 (.f64 (.f64 (pow.f64 x 6) (sqrt.f64 (PI.f64))) x)) (/.f64 21/8 (.f64 (pow.f64 x 4) (.f64 x (sqrt.f64 (PI.f64))))))
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(fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (fma.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (fma.f64 15/16 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))))))))
(+.f64 (/.f64 (/.f64 3/4 (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (/.f64 (/.f64 15/16 (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)))) (.f64 (/.f64 (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)) 5/4)))
(+.f64 (+.f64 (+.f64 (/.f64 15/8 (.f64 (.f64 (pow.f64 x 6) (sqrt.f64 (PI.f64))) x)) (/.f64 15/16 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))) (/.f64 5/4 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))) (/.f64 21/8 (.f64 (pow.f64 x 4) (.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 x 3)) 35/16) (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) (/.f64 21/8 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5))))
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(fma.f64 3/8 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (fma.f64 5/16 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (fma.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)) (fma.f64 15/16 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (fma.f64 1/2 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))))))))))
(+.f64 (/.f64 (/.f64 3/4 (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 3/4 (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)) (/.f64 5/16 (.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 (/.f64 (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (/.f64 (/.f64 15/16 (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)))) (+.f64 (+.f64 (/.f64 (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (/.f64 (/.f64 1/2 (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x))) (.f64 3/2 (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))))) (/.f64 3/8 (*.f64 (sqrt.f64 (PI.f64)) x))))
(+.f64 (/.f64 (/.f64 (/.f64 3/4 x) (sqrt.f64 (PI.f64))) (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 3/8 x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 5/16 (sqrt.f64 (PI.f64))) x) (+.f64 (+.f64 (+.f64 (/.f64 15/8 (.f64 (.f64 (pow.f64 x 6) (sqrt.f64 (PI.f64))) x)) (.f64 (/.f64 1 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 15/8 x) x) 15/16))) (/.f64 5/4 (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))) (/.f64 3/2 (.f64 x (sqrt.f64 (PI.f64))))))))
(+.f64 (/.f64 3/4 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5))) (+.f64 (+.f64 (+.f64 (/.f64 15/8 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 x 3)) (+.f64 5/4 (+.f64 (/.f64 (/.f64 15/8 x) x) 15/16)))) (/.f64 3/2 (.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) 11/16)))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (exp.f64 (-.f64 (.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)) (fma.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2)))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 (.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))))
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (fma.f64 15/8 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) (fma.f64 15/8 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)))))
(+.f64 (fma.f64 15/8 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 6)) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2)))
(+.f64 (.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2)))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (exp.f64 (-.f64 (.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)) (fma.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2)))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 (.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))))
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (.f64 x x)) (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x))))) (fma.f64 15/8 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) (fma.f64 15/8 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)))))
(+.f64 (fma.f64 15/8 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 6)) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2)))
(+.f64 (.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2)))

localize70.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
✓	0.3b	(.f64 (/.f64 (expm1.f64 (log1p.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))))))
	1.1b	(pow.f64 (exp.f64 x) x)
✓	2.5b	(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 165 to 94 computations (43% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

411×	`log1p-udef_binary64`
249×	`add-sqr-sqrt_binary64`
240×	`add-log-exp_binary64`
240×	`expm1-log1p-u_binary64`
239×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	45
1	514	39
2	7399	39

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs

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

(*.f64 (/.f64 (expm1.f64 (log1p.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))))))

Outputs

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

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

535×	`unswap-sqr_binary64`
515×	`associate-*l/_binary64`
512×	`distribute-lft-out_binary64`
479×	`fma-def_binary64`
435×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	438
1	134	420
2	342	398
3	895	384
4	3410	382
5	7127	382

Stop Event

1×	node limit

Counts

104 → 103

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 (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))))))

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

localize101.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3))))
✓	0.4b	(cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3))
✓	0.7b	(pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3)
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 167 to 122 computations (26.9% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite126.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

388×	`fma-def_binary64`
380×	`log1p-udef_binary64`
379×	`expm1-udef_binary64`
243×	`fma-neg_binary64`
232×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	68
1	511	66
2	6019	66

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs

(pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3)

(cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3))

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

Outputs

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

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

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

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

761×	`associate-/r/_binary64`
471×	`associate-l_binary64`
398×	`distribute-rgt-out_binary64`
354×	`fma-def_binary64`
353×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	700
1	213	688
2	502	670
3	1308	656
4	4374	654
5	5161	654
6	6452	654

Stop Event

1×	node limit

Counts

185 → 185

Calls

Call 1

Inputs
(/.f64 27/64 (pow.f64 x 12))
(+.f64 (.f64 27/32 (/.f64 1 (pow.f64 x 10))) (.f64 27/64 (/.f64 1 (pow.f64 x 12))))
(+.f64 (.f64 9/4 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 27/32 (/.f64 1 (pow.f64 x 10))) (*.f64 27/64 (/.f64 1 (pow.f64 x 12)))))
(+.f64 (.f64 9/4 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 19/8 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 27/32 (/.f64 1 (pow.f64 x 10))) (.f64 27/64 (/.f64 1 (pow.f64 x 12))))))
1
(+.f64 1 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 x 2))) (.f64 3 (/.f64 1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (*.f64 19/8 (/.f64 1 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 x 2))) (.f64 3 (/.f64 1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (*.f64 19/8 (/.f64 1 (pow.f64 x 6))))))
(/.f64 3/4 (pow.f64 x 4))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 35/16 (/.f64 1 x)) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (.f64 35/16 (/.f64 1 (pow.f64 x 3))))))
(/.f64 (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 27/64 (pow.f64 x 12))
(+.f64 (.f64 27/32 (/.f64 1 (pow.f64 x 10))) (.f64 27/64 (/.f64 1 (pow.f64 x 12))))
(+.f64 (/.f64 27/32 (pow.f64 x 10)) (/.f64 27/64 (pow.f64 x 12)))
(+.f64 (.f64 9/4 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 27/32 (/.f64 1 (pow.f64 x 10))) (*.f64 27/64 (/.f64 1 (pow.f64 x 12)))))
(+.f64 (+.f64 (/.f64 9/4 (pow.f64 x 8)) (/.f64 27/32 (pow.f64 x 10))) (/.f64 27/64 (pow.f64 x 12)))
(+.f64 (/.f64 27/64 (pow.f64 x 12)) (+.f64 (/.f64 27/32 (pow.f64 x 10)) (/.f64 9/4 (pow.f64 x 8))))
(+.f64 (/.f64 27/32 (pow.f64 x 10)) (+.f64 (/.f64 27/64 (pow.f64 x 12)) (/.f64 9/4 (pow.f64 x 8))))
(+.f64 (.f64 9/4 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 19/8 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 27/32 (/.f64 1 (pow.f64 x 10))) (.f64 27/64 (/.f64 1 (pow.f64 x 12))))))
(+.f64 (/.f64 9/4 (pow.f64 x 8)) (+.f64 (+.f64 (/.f64 19/8 (pow.f64 x 6)) (/.f64 27/32 (pow.f64 x 10))) (/.f64 27/64 (pow.f64 x 12))))
(+.f64 (+.f64 (/.f64 27/64 (pow.f64 x 12)) (+.f64 (/.f64 27/32 (pow.f64 x 10)) (/.f64 9/4 (pow.f64 x 8)))) (/.f64 19/8 (pow.f64 x 6)))
(+.f64 (/.f64 27/64 (pow.f64 x 12)) (+.f64 (/.f64 9/4 (pow.f64 x 8)) (+.f64 (/.f64 27/32 (pow.f64 x 10)) (/.f64 19/8 (pow.f64 x 6)))))
(+.f64 (/.f64 27/32 (pow.f64 x 10)) (+.f64 (/.f64 19/8 (pow.f64 x 6)) (+.f64 (/.f64 27/64 (pow.f64 x 12)) (/.f64 9/4 (pow.f64 x 8)))))
(+.f64 (/.f64 27/32 (pow.f64 x 10)) (+.f64 (/.f64 27/64 (pow.f64 x 12)) (+.f64 (/.f64 9/4 (pow.f64 x 8)) (/.f64 19/8 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 3/2 (*.f64 x x)))
(+.f64 1 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 x 2))) (.f64 3 (/.f64 1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (/.f64 3/2 (*.f64 x x)) (/.f64 3 (pow.f64 x 4))))
(+.f64 (+.f64 1 (/.f64 3/2 (*.f64 x x))) (/.f64 3 (pow.f64 x 4)))
(+.f64 (/.f64 3/2 (*.f64 x x)) (+.f64 1 (/.f64 3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (*.f64 19/8 (/.f64 1 (pow.f64 x 6))))))
(+.f64 1 (+.f64 (/.f64 3/2 (*.f64 x x)) (+.f64 (/.f64 19/8 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 4)))))
(+.f64 (/.f64 3/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 19/8 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 19/8 (pow.f64 x 6)) (/.f64 3/2 (*.f64 x x)))))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 19/8 (pow.f64 x 6)) (+.f64 1 (/.f64 3/2 (*.f64 x x)))))
(+.f64 (/.f64 19/8 (pow.f64 x 6)) (+.f64 (/.f64 3/2 (*.f64 x x)) (+.f64 1 (/.f64 3 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 3/2 (*.f64 x x)))
(+.f64 1 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 x 2))) (.f64 3 (/.f64 1 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (/.f64 3/2 (*.f64 x x)) (/.f64 3 (pow.f64 x 4))))
(+.f64 (+.f64 1 (/.f64 3/2 (*.f64 x x))) (/.f64 3 (pow.f64 x 4)))
(+.f64 (/.f64 3/2 (*.f64 x x)) (+.f64 1 (/.f64 3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (*.f64 19/8 (/.f64 1 (pow.f64 x 6))))))
(+.f64 1 (+.f64 (/.f64 3/2 (*.f64 x x)) (+.f64 (/.f64 19/8 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 4)))))
(+.f64 (/.f64 3/2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 19/8 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 19/8 (pow.f64 x 6)) (/.f64 3/2 (*.f64 x x)))))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 19/8 (pow.f64 x 6)) (+.f64 1 (/.f64 3/2 (*.f64 x x)))))
(+.f64 (/.f64 19/8 (pow.f64 x 6)) (+.f64 (/.f64 3/2 (*.f64 x x)) (+.f64 1 (/.f64 3 (pow.f64 x 4)))))
(/.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 (pow.f64 x 4)) (/.f64 (/.f64 1/2 x) x))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 1/2 x) x))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 1/2 x) x))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))
(+.f64 (/.f64 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 35/16 x) (/.f64 15/8 (pow.f64 x 7))) (/.f64 35/16 (pow.f64 x 3))))
(+.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 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 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x))))
(+.f64 (+.f64 (/.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 (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 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x))
(*.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) x)) (/.f64 (pow.f64 (exp.f64 x) 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 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (exp.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 (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 (/.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 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (exp.f64 (.f64 x 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 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(+.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 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x))
(*.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) x)) (/.f64 (pow.f64 (exp.f64 x) 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 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (exp.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 (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 (/.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 1 (/.f64 1/2 (.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x))))
(fma.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (/.f64 (exp.f64 (.f64 x 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 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))))
(+.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))))))

eval648.0ms (4.1%)

Compiler: Compiled 27226 to 17736 computations (34.9% saved)

prune376.0ms (2.4%)

Pruning

107 alts after pruning (102 fresh and 5 done)

	Pruned	Kept	Total
New	707	50	757
Fresh	27	52	79
Picked	0	1	1
Done	1	4	5
Total	735	107	842

Error

0.2b

Counts

842 → 107

Alt Table

Click to see full alt table

Status	Error	Program
	3.0b	(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	48.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
	56.8b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	1.3b	(.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 (/.f64 (sqrt.f64 3/4) (.f64 x x)) (/.f64 (sqrt.f64 3/4) (.f64 x x))) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
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✓	2.9b	(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
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▶	1.3b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (neg.f64 (log.f64 (.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)))))
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✓	1.6b	(/.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))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
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✓	56.8b	(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))
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▶	56.8b	(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
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▶	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.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)))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (.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)))))))
	2.8b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (.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)))))))
	1.4b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	41.3b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))
	2.8b	(.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)))))
	1.3b	(.f64 (/.f64 1 (/.f64 (.f64 x (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x))) (+.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 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))
	1.9b	(/.f64 (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
	1.2b	(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))) (/.f64 1/2 (*.f64 x x)))))))
	55.6b	(.f64 (/.f64 (fma.f64 x x 1) (.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	(.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)))))))
▶	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (.f64 x 1/2)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (PI.f64)) x))) 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 (pow.f64 (cbrt.f64 (/.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))))) 2) (cbrt.f64 (/.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))))))
	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)))))))
	43.6b	(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (.f64 x x)))))
	44.7b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
	56.8b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	2.7b	(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
✓	2.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))))
	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (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))
	10.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 1/3) 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)))))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 x x)) 1) 1) 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)))))))
	2.0b	(.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)))))
	2.8b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (E.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)))))))
	3.0b	(.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))))))
	47.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 1))))
	48.3b	(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
	2.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 1/2) x)) (*.f64 3/4 (pow.f64 x -4))))))
	56.3b	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.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 6547 to 4892 computations (25.3% saved)

localize88.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
✓	0.3b	(.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (.f64 x 1/2)) 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))))))
✓	0.5b	(pow.f64 (exp.f64 x) 2)
✓	0.7b	(pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x 1/2))

Compiler

Compiled 172 to 118 computations (31.4% saved)

series6.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

433×	`log1p-udef_binary64`
272×	`add-sqr-sqrt_binary64`
261×	`add-log-exp_binary64`
261×	`pow1_binary64`
260×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	63
1	560	45
2	7966	45

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x 1/2))

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

(*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x 1/2)) 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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 2)))))) (#(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 15/8 (*.f64 (pow.f64 x 6) (/.f64 x (pow.f64 (exp.f64 x) x)))) (*.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 15/8 (*.f64 (pow.f64 x 6) (/.f64 x (pow.f64 (exp.f64 x) x)))))))) (#(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 15/8 (*.f64 (pow.f64 x 6) (/.f64 x (pow.f64 (exp.f64 x) x)))) 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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simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
679×	`associate-l_binary64`
670×	`times-frac_binary64`
571×	`associate-r_binary64`
429×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	755
1	171	549
2	455	429
3	1306	415
4	7378	415

Stop Event

1×	node limit

Counts

116 → 118

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
✓	0.3b	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
	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 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
0.0ms	x	@	-inf	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
0.0ms	x	@	inf	(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))
0.0ms	x	@	inf	(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
0.0ms	x	@	0	(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	23
2	2487	23

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (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

83 → 61

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)))

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.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))))
✓	0.2b	(/.f64 35/16 (pow.f64 x 3))
✓	0.3b	(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))
✓	0.3b	(*.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)))))

Compiler

Compiled 111 to 88 computations (20.7% saved)

series16.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(+.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))))
1.0ms	x	@	0	(*.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)))))
1.0ms	x	@	0	(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))
1.0ms	x	@	inf	(*.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)))))
1.0ms	x	@	-inf	(*.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)))))

rewrite165.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

277×	`add-sqr-sqrt_binary64`
264×	`add-log-exp_binary64`
264×	`log1p-expm1-u_binary64`
264×	`expm1-log1p-u_binary64`
262×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	94
1	558	81

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

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

Outputs
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simplify173.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
572×	`associate-/r*_binary64`
560×	`associate-/l*_binary64`
529×	`sqr-pow_binary64`
456×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	873
1	140	759
2	351	711
3	962	711
4	2610	711
5	4726	711
6	5083	711
7	5667	711
8	5852	711
9	6084	711
10	6310	711
11	6634	711
12	7124	711
13	7789	711

Stop Event

1×	node limit

Counts

211 → 206

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

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

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (neg.f64 (log.f64 (.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)))))
✓	0.4b	(exp.f64 (neg.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 152 to 68 computations (55.3% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`log1p-udef_binary64`
277×	`add-sqr-sqrt_binary64`
264×	`pow1_binary64`
263×	`*-un-lft-identity_binary64`
262×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	58
1	560	48
2	7865	48

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs

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

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

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

718×	`associate-l_binary64`
487×	`unswap-sqr_binary64`
408×	`fma-neg_binary64`
341×	`*-commutative_binary64`
273×	`exp-sum_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	1034
1	192	894
2	625	606
3	2391	546
4	5370	546

Stop Event

1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

localize99.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
✓	0.6b	(cbrt.f64 (pow.f64 (exp.f64 x) x))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 172 to 79 computations (54.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(cbrt.f64 (pow.f64 (exp.f64 x) x))
1.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (exp.f64 x) x))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (exp.f64 x) x))
0.0ms	x	@	0	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
496×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	140	19
2	1502	19

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

709×	`associate-*r/_binary64`
676×	`distribute-lft-out_binary64`
398×	`fma-def_binary64`
393×	`distribute-rgt-out_binary64`
365×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	254
1	93	250
2	207	246
3	591	244
4	2156	244
5	4018	244
6	5280	244

Stop Event

1×	node limit

Counts

61 → 54

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

eval674.0ms (4.3%)

Compiler: Compiled 27712 to 18275 computations (34.1% saved)

prune309.0ms (2%)

Pruning

103 alts after pruning (99 fresh and 4 done)

	Pruned	Kept	Total
New	724	36	760
Fresh	34	63	97
Picked	0	1	1
Done	6	3	9
Total	764	103	867

Error

0.1b

Counts

867 → 103

Alt Table

Click to see full alt table

Status	Error	Program
	3.0b	(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) x)))) (+.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 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	44.7b	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))))
	1.3b	(.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 (/.f64 (sqrt.f64 3/4) (.f64 x x)) (/.f64 (sqrt.f64 3/4) (.f64 x x))) (+.f64 1 (/.f64 1/2 (.f64 x x)))))))
	2.4b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (.f64 (.f64 x x) 1/3)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	55.3b	(*.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))))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (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)))))
	1.4b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (.f64 x x)))) (cbrt.f64 (.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)))))
	55.9b	(.f64 (.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 x (.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1)))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (pow.f64 (exp.f64 15/8) (pow.f64 x -6))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))))
	43.6b	(.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 1 (/.f64 (/.f64 1/2 x) x)))))
	55.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))))
	56.5b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
	48.3b	(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))
✓	1.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3)))))
✓	2.9b	(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x)) (+.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 (pow.f64 (exp.f64 x) x) (exp.f64 (neg.f64 (log.f64 (.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 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 (/.f64 (sqrt.f64 3/4) (.f64 x x)) (/.f64 (sqrt.f64 3/4) (.f64 x x))) (/.f64 1/2 (.f64 x x)))))))
	1.3b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	56.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 3))) (*.f64 35/16 (/.f64 1 x))))
	2.9b	(.f64 (pow.f64 (E.f64) (-.f64 (.f64 x x) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
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	56.8b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	2.7b	(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (.f64 x x)))))) (.f64 x (sqrt.f64 (PI.f64))))
	1.3b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (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))
	10.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) 1/3) 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)))))))
	3.0b	(.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))))))
	2.0b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (neg.f64 (log.f64 (.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)))))
	2.0b	(.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)))))
	2.8b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (E.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)))))))
	47.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 1))))
	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)))))))
	56.3b	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.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 (pow.f64 (exp.f64 x) 2) (.f64 x 1/2)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 (.f64 (-.f64 1 (/.f64 1/4 (pow.f64 x 4))) (pow.f64 x 4)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x -2))) 3/4)) (.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x -2))) (pow.f64 x 4))))))

Compiler

Compiled 3318 to 2448 computations (26.2% saved)

regimes833.0ms (5.3%)

Counts

197 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 1 (expm1.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 (/.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))))) 2) (cbrt.f64 (/.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))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 1/3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.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))))))
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(.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 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))))
(/.f64 (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.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 (/.f64 27/64 (pow.f64 x 12)) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3)) (+.f64 (/.f64 9/16 (pow.f64 x 8)) (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (.f64 3/4 (pow.f64 x -4)))))))))
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(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.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 1 (sqrt.f64 (PI.f64))) x) (+.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))) x) (+.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 35/16 (/.f64 1 (pow.f64 x 3))) (*.f64 35/16 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7)))))
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

Outputs

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

4 calls:

189.0ms	(fabs.f64 x)
181.0ms	x
152.0ms	(.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))))))
128.0ms	(fabs.f64 x)

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	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))))))
0.9b	1	`(fabs.f64 x)`
0.9b	1	`(fabs.f64 x)`

Compiler

Compiled 6777 to 4081 computations (39.8% saved)

regimes90.0ms (0.6%)

Counts

78 → 1

Calls

Call 1

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

Outputs
(.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 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))))

Calls

1 calls:

44.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 1756 to 1070 computations (39.1% saved)

regimes85.0ms (0.5%)

Counts

71 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

50.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 1537 to 940 computations (38.8% saved)

regimes74.0ms (0.5%)

Counts

68 → 1

Calls

Call 1

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

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

41.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 1429 to 881 computations (38.3% saved)

regimes60.0ms (0.4%)

Counts

56 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.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:

35.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 1051 to 664 computations (36.8% saved)

regimes85.0ms (0.5%)

Counts

53 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.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:

61.0ms

Results

Error	Segments	Branch
1.3b	1	`x`

Compiler

Compiled 961 to 619 computations (35.6% saved)

regimes75.0ms (0.5%)

Counts

50 → 1

Calls

Call 1

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

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

Calls

1 calls:

52.0ms

Results

Error	Segments	Branch
41.3b	1	`x`

Compiler

Compiled 874 to 578 computations (33.9% saved)

regimes46.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
43.6b	1	`x`

Compiler

Compiled 643 to 414 computations (35.6% saved)

regimes43.0ms (0.3%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
44.7b	1	`x`

Compiler

Compiled 619 to 400 computations (35.4% saved)

regimes54.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
48.3b	1	`x`

Compiler

Compiled 335 to 233 computations (30.4% saved)

regimes24.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.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 1 (sqrt.f64 (PI.f64))) x) (+.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))) x) (+.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 35/16 (/.f64 1 (pow.f64 x 3))) (*.f64 35/16 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7)))))
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
48.3b	1	`x`

Compiler

Compiled 260 to 183 computations (29.6% saved)

regimes23.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.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 1 (sqrt.f64 (PI.f64))) x) (+.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))) x) (+.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 35/16 (/.f64 1 (pow.f64 x 3))) (*.f64 35/16 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7)))))
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

Outputs
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.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:

16.0ms

Results

Error	Segments	Branch
55.6b	1	`x`

Compiler

Compiled 251 to 179 computations (28.7% saved)

regimes22.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.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))) x) (+.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 35/16 (/.f64 1 (pow.f64 x 3))) (*.f64 35/16 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7)))))
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

Outputs
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.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:

15.0ms

Results

Error	Segments	Branch
56.3b	1	`x`

Compiler

Compiled 221 to 159 computations (28.1% saved)

regimes15.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 3))) (*.f64 35/16 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7)))))
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 35/16 (/.f64 1 (pow.f64 x 3))) (*.f64 35/16 (/.f64 1 x))))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
56.5b	1	`x`

Compiler

Compiled 169 to 125 computations (26% saved)

regimes26.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7)))))
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1))
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64)))
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(.f64 35/16 (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x))

Outputs
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
56.5b	1	`x`

Compiler

Compiled 151 to 110 computations (27.2% saved)

regimes18.0ms (0.1%)

Accuracy

Total -0.4b remaining (-0.7%)

Threshold costs -0.4b (-0.7%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
56.7b	1	`x`

Compiler

Compiled 137 to 99 computations (27.7% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative_binary64`
19×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	604
1	147	604
2	151	604
3	153	604
4	154	604

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 404 to 306 computations (24.3% saved)

soundness681.0ms (4.3%)

Algorithm

2×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
653×	`associate-/l*_binary64`
626×	`associate-*l/_binary64`
454×	`associate-*r/_binary64`
442×	`sqr-pow_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	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
1×	node limit

Compiler

Compiled 7618 to 5374 computations (29.5% saved)

end428.0ms (2.7%)

Compiler: Compiled 388 to 239 computations (38.4% saved)