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)

sample3.9s (31.9%)

Results

3.4s	8256×	body	256	valid
445.0ms	1189×	body	256	invalid

preprocess65.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 105 to 70 computations (33.3% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval2.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
▶	3.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (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

▶

1.5b

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

▶

3.1b

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

localize162.0ms (1.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))
	0.2b	(+.f64 (+.f64 (+.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)))))
	0.2b	(+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))
	0.2b	(+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))
✓	0.5b	(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
✓	0.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	2.6b	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

Compiler

Compiled 534 to 328 computations (38.6% saved)

series27.0ms (0.2%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
6.0ms	x	@	0	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
6.0ms	x	@	-inf	(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
5.0ms	x	@	-inf	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
1.0ms	x	@	0	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	106
1	711	62

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

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

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

747×	`associate-l_binary64`
724×	`associate-*l/_binary64`
706×	`times-frac_binary64`
638×	`associate-*r/_binary64`
581×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	900
1	91	828
2	216	828
3	729	828
4	2376	828

Stop Event

1×	node limit

Counts

136 → 106

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

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

localize61.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 15/8 (pow.f64 x 6))
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.0b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	0.5b	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 133 to 66 computations (50.4% saved)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (exp.f64 x) x)
1.0ms	x	@	0	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
1.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
1.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
1.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))

rewrite122.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	70
1	531	61
2	7863	61

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

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

Inputs

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

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

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

Outputs
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Outputs

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

484×	`sqr-pow_binary64`
450×	`fma-def_binary64`
382×	`associate-+l+_binary64`
359×	`distribute-rgt-out_binary64`
347×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	1154
1	212	1031
2	663	821
3	2936	719
4	4388	709
5	5193	709
6	5682	709
7	6694	709
8	7335	709

Stop Event

1×	node limit

Counts

156 → 153

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

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

eval341.0ms (2.8%)

Compiler: Compiled 22388 to 13578 computations (39.4% saved)

prune150.0ms (1.2%)

Pruning

51 alts after pruning (51 fresh and 0 done)

	Pruned	Kept	Total
New	295	51	346
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	297	51	348

Error

0.3b

Counts

348 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	2.1b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	44.2b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
	2.9b	(.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (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 (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 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.9b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) 1) (/.f64 (cbrt.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)))))
	2.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.1b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.9b	(.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)))))
	55.9b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))))
	3.0b	(.f64 (expm1.f64 (log1p.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)))))
	9.1b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 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)))))
	4.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	2.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	9.0b	(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) (pow.f64 (.f64 (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3)) (+.f64 (.f64 (.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (-.f64 (.f64 (.f64 (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (.f64 (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (.f64 (.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (.f64 (*.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))
	1.6b	(.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))))))
	56.3b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))
▶	1.5b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 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)))))
	1.7b	(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) 2) (pow.f64 (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) 2)) (pow.f64 (exp.f64 x) x)) (.f64 (-.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x))) (sqrt.f64 (PI.f64))))
	1.7b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.9b	(.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))))))
	3.3b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) x) (sqrt.f64 (PI.f64)))
	1.9b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	56.0b	(.f64 (.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)))))
	1.5b	(.f64 (pow.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) -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 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.9b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) x) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 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)))))
	1.5b	(/.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 x (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))
	1.6b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 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 1 x) (/.f64 (pow.f64 (exp.f64 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)))))
	56.6b	(.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)))))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 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)))))
	1.5b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 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)))))
	10.3b	(.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) 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)))))
▶	1.4b	(.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	1.9b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.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)))))
▶	10.4b	(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
	3.0b	(.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.6b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.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)))))
	3.2b	(exp.f64 (+.f64 (-.f64 (.f64 x x) (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))
	1.6b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x) (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1)))))) 2)
	1.6b	(.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (.f64 (PI.f64) (.f64 x x)))) (/.f64 (sqrt.f64 (pow.f64 (exp.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)))))
	9.0b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	40.7b	(.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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (/.f64 1 (pow.f64 (PI.f64) -1/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.6b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (.f64 x x)))) (/.f64 (pow.f64 (exp.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)))))
	1.8b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))
	6.1b	(.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
▶	57.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
	1.5b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.0b	(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.0b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x) (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1)))))) 3)

Compiler

Compiled 4192 to 2920 computations (30.3% saved)

localize59.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x)))
	0.2b	(/.f64 1/2 (pow.f64 (fabs.f64 x) 3))
	0.2b	(/.f64 3/4 (pow.f64 (fabs.f64 x) 5))
	0.2b	(/.f64 15/8 (pow.f64 (fabs.f64 x) 7))
✓	0.3b	(+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3))))
✓	0.3b	(*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64))))
✓	0.5b	(.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 152 to 96 computations (36.8% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
1.0ms	x	@	inf	(.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
1.0ms	x	@	-inf	(.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
1.0ms	x	@	0	(*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64))))
0.0ms	x	@	inf	(*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64))))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

312×	`add-sqr-sqrt_binary64`
297×	`add-log-exp_binary64`
296×	`log1p-expm1-u_binary64`
296×	`expm1-log1p-u_binary64`
295×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	110
1	632	80

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs

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

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

(+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/4 (pow.f64 x -5)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (+.f64 (/.f64 1 x) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (*.f64 15/8 (pow.f64 x -7))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 1/2 (pow.f64 x -3)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (*.f64 3/4 (pow.f64 x -5))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 1 x) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (*.f64 15/8 (pow.f64 x -7)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (*.f64 1/2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (pow.f64 (exp.f64 x) x)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) 3) (pow.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 1))))))

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

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(pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (sqrt.f64 (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))) (sqrt.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 3/4) (pow.f64 x 5/2)) (+.f64 (/.f64 1 x) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) 1))))))

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

506×	`distribute-lft-out_binary64`
463×	`associate-*l/_binary64`
381×	`associate-*r/_binary64`
377×	`distribute-lft-in_binary64`
377×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1659
1	186	1523
2	570	1200
3	3676	1156
4	6328	1156
5	7452	1156

Stop Event

1×	node limit

Counts

135 → 122

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
0.0ms	x	@	0	(/.f64 15/8 (pow.f64 x 7))
0.0ms	x	@	inf	(/.f64 15/8 (pow.f64 x 7))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

104 → 94

Calls

Call 1

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

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

localize50.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 15/8 (pow.f64 x 6))
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.0b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
✓	0.4b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 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)))))
✓	0.5b	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (neg.f64 (sqrt.f64 (PI.f64)))))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 146 to 67 computations (54.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite129.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

277×	`add-sqr-sqrt_binary64`
264×	`pow1_binary64`
263×	`*-un-lft-identity_binary64`
261×	`add-log-exp_binary64`
259×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	66
1	556	56

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs

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

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

Outputs

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simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

562×	`cancel-sign-sub-inv_binary64`
469×	`associate-*l/_binary64`
450×	`associate-/l*_binary64`
445×	`associate-/r*_binary64`
389×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	926
1	184	779
2	607	690
3	2387	672
4	6496	672

Stop Event

1×	node limit

Counts

126 → 128

Calls

Call 1

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

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

localize53.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 15/8 (pow.f64 x 6))
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.0b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
✓	0.5b	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
✓	1.0b	(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 146 to 68 computations (53.4% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))

0.0ms

inf

(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))

0.0ms

-inf

(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

987×	`pow1_binary64`
917×	`expm1-log1p-u_binary64`
916×	`add-log-exp_binary64`
916×	`log1p-expm1-u_binary64`
103×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	208	19
2	2732	19

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))

Outputs

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1025×	`fma-def_binary64`
430×	`*-commutative_binary64`
387×	`cube-prod_binary64`
375×	`unswap-sqr_binary64`
319×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	318
1	82	308
2	202	250
3	708	226
4	2861	223
5	5179	223
6	5889	223
7	6984	223

Stop Event

1×	node limit

Counts

75 → 73

Calls

Call 1

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

localize91.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))
	0.3b	(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))))
	0.2b	(+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))
	0.1b	(fma.f64 3/4 (pow.f64 x -2) 1/2)
✓	0.6b	(pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3)
	1.0b	(sqrt.f64 (PI.f64))
✓	2.9b	(exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))
✓	9.9b	(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)

Compiler

Compiled 197 to 137 computations (30.5% saved)

series29.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
8.0ms	x	@	0	(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
6.0ms	x	@	-inf	(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)
1.0ms	x	@	0	(pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3)
0.0ms	x	@	0	(exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))

rewrite110.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`prod-diff_binary64`
400×	`log1p-udef_binary64`
240×	`add-sqr-sqrt_binary64`
231×	`add-log-exp_binary64`
231×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	528	108
2	6045	108

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)

(exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))

(pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.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 (/.f64 1 x) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (*.f64 (+.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))) 1) (/.f64 (/.f64 1 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 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64))))) (pow.f64 (pow.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (fma.f64 x x 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simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

778×	`fma-def_binary64`
721×	`associate-/l*_binary64`
590×	`associate-/r*_binary64`
395×	`distribute-rgt-in_binary64`
393×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	3216
1	456	2526
2	1831	2177

Stop Event

1×	node limit

Counts

158 → 154

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) x)) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 14/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3))) (.f64 7/5 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) (.f64 x (PI.f64))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 98/25 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 49/25 (/.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2) (PI.f64))) (.f64 7/3 (/.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2) (PI.f64)))) (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 7/6 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))))) (.f64 1/3 (.f64 (/.f64 (pow.f64 (+.f64 (.f64 14/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3))) (.f64 7/5 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) 2) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 x 3) (PI.f64))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) x)) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 14/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3))) (.f64 7/5 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) (.f64 x (PI.f64))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2)))))
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(*.f64 (/.f64 (pow.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) (pow.f64 x 2)))) (pow.f64 x 2))) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))
(*.f64 (/.f64 (pow.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) (pow.f64 x 2)))) (pow.f64 x 2))) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))
(*.f64 (/.f64 (pow.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) (pow.f64 x 2)))) (pow.f64 x 2))) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) x))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 (pow.f64 x -6) 15/8) x))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (/.f64 x (pow.f64 x -6))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) x)) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 14/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3))) (.f64 7/5 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) (.f64 x (PI.f64))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2))))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) x) (.f64 1/3 (/.f64 (fma.f64 14/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 3)) (.f64 7/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 3)))) (/.f64 (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 2) (*.f64 (PI.f64) x)))))
(fma.f64 1/3 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 21/5) (/.f64 (pow.f64 (.f64 (pow.f64 x -6) 15/8) 2) (.f64 (PI.f64) x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 x -6) 15/8) x)))
(fma.f64 1/3 (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) (/.f64 (.f64 (pow.f64 x -12) 225/64) 21/5)) (.f64 (PI.f64) x)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (/.f64 x (pow.f64 x -6)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 98/25 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 49/25 (/.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2) (PI.f64))) (.f64 7/3 (/.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2) (PI.f64)))) (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 7/6 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))))) (.f64 1/3 (.f64 (/.f64 (pow.f64 (+.f64 (.f64 14/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3))) (.f64 7/5 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) 2) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 x 3) (PI.f64))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) x)) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 14/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3))) (.f64 7/5 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))) (.f64 x (PI.f64))) (pow.f64 (exp.f64 (+.f64 (.f64 -6 (log.f64 x)) (log.f64 15/8))) 2)))))
(fma.f64 1/3 (/.f64 (-.f64 (fma.f64 98/25 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 3)) (fma.f64 (.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (.f64 (/.f64 (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 2) (PI.f64)) 322/75)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 3)) 7/6))) (.f64 1/3 (.f64 (/.f64 (pow.f64 (fma.f64 14/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 3)) (.f64 7/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 3)))) 2) (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3))))) (/.f64 (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 2) (.f64 (PI.f64) (pow.f64 x 3)))) (fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) x) (.f64 1/3 (/.f64 (fma.f64 14/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 3)) (.f64 7/5 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 3)))) (/.f64 (pow.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) 2) (.f64 (PI.f64) x))))))
(fma.f64 1/3 (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 98/25 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x -6) 15/8) 2) (PI.f64)) (.f64 322/75 (.f64 (pow.f64 x -6) 15/8))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (.f64 (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512) 7/6))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 21/5) 2) (/.f64 (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512) (sqrt.f64 (pow.f64 (PI.f64) 3)))) -1/3))) (pow.f64 (.f64 (pow.f64 x -6) 15/8) 2)) (.f64 (PI.f64) (pow.f64 x 3))) (fma.f64 1/3 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512)) 21/5) (/.f64 (pow.f64 (.f64 (pow.f64 x -6) 15/8) 2) (.f64 (PI.f64) x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 (pow.f64 x -6) 15/8) x))))
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(.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (/.f64 (pow.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) 3) (pow.f64 x 3)))
(/.f64 (pow.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)))))) 3) (/.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))
(.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (/.f64 (pow.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)))))) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (pow.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) (pow.f64 x 2)))) (pow.f64 x 2))) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (/.f64 (pow.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) 3) (pow.f64 x 3)))
(/.f64 (pow.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)))))) 3) (/.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3)))))
(.f64 (sqrt.f64 (/.f64 1 (pow.f64 (PI.f64) 3))) (/.f64 (pow.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)))))) 3) (pow.f64 x 3)))

eval616.0ms (5%)

Compiler: Compiled 27312 to 17707 computations (35.2% saved)

prune355.0ms (2.9%)

Pruning

72 alts after pruning (71 fresh and 1 done)

	Pruned	Kept	Total
New	667	54	721
Fresh	29	17	46
Picked	1	0	1
Done	3	1	4
Total	700	72	772

Error

0.2b

Counts

772 → 72

Alt Table

Click to see full alt table

Status	Error	Program
	44.2b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
	1.9b	(pow.f64 (cbrt.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 3)
	2.9b	(.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 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.9b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) 1) (/.f64 (cbrt.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)))))
	1.9b	(.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3))))) 3) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	9.0b	(.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (.f64 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)))))
	3.0b	(.f64 (neg.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 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)))))
	1.9b	(.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)))))
	3.0b	(.f64 (expm1.f64 (log1p.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)))))
	1.9b	(.f64 (neg.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (.f64 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)))))
	3.0b	(.f64 (neg.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) (.f64 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)))))
	1.5b	(/.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (pow.f64 (exp.f64 x) x)) (sqrt.f64 (PI.f64)))
	2.1b	(.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
	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)))))
▶	2.2b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.6b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (.f64 (.f64 x x) (PI.f64)))) (/.f64 (+.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))) 1) (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
	57.1b	(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (/.f64 x (pow.f64 x -6))))
	3.2b	(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)))))))
	56.6b	(.f64 (neg.f64 (/.f64 1 (.f64 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)))))
	10.5b	(pow.f64 (exp.f64 (.f64 3 (-.f64 (fma.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))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) 1/3)
	57.1b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	3.0b	(.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
✓	1.5b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 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)))))
	1.9b	(.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))))))
	3.3b	(/.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) x) (sqrt.f64 (PI.f64)))
	1.5b	(.f64 (fma.f64 3/4 (pow.f64 x -5) (+.f64 (/.f64 1 x) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3))))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	1.5b	(.f64 (pow.f64 (/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) -1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.1b	(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 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)))))
	56.0b	(.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)))))
	2.9b	(.f64 (neg.f64 (.f64 -1 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	56.6b	(.f64 (/.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)))))
	1.6b	(.f64 (fma.f64 (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	2.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.9b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) x) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 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)))))
	3.1b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (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)))))
	57.1b	(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
	1.6b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 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 1 x) (/.f64 (pow.f64 (exp.f64 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)))))
	2.1b	(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 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)))))
▶	57.1b	(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
	2.2b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	6.2b	(.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (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)))))
	6.1b	(.f64 (neg.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (.f64 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)))))
	1.5b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.7b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (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 (exp.f64 (log1p.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))))) 1) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
▶	1.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (exp.f64 x) x)))
	2.0b	(.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)))))
	1.5b	(.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)))))
	57.1b	(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
	10.4b	(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (/.f64 1 (pow.f64 (PI.f64) -1/2)))) 3) 1/3)
	44.2b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1))
	10.3b	(.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)))))
	1.6b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.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)))))
	56.0b	(.f64 (neg.f64 (/.f64 (fma.f64 x x 1) (.f64 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)))))
	1.7b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (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 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (.f64 (PI.f64) (.f64 x x)))) (/.f64 (sqrt.f64 (pow.f64 (exp.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)))))
	1.5b	(.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) 3)) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	48.0b	(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (pow.f64 (exp.f64 x) x))
	57.1b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	1.7b	(.f64 (log.f64 (exp.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	10.2b	(pow.f64 (pow.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)))) 3) 1/3)
	1.9b	(*.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3))
	1.5b	(.f64 (exp.f64 (log.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	1.4b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	48.0b	(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
	1.6b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (.f64 x x)))) (/.f64 (pow.f64 (exp.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)))))
	1.8b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))
▶	1.5b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (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)))))
▶	1.6b	(pow.f64 (sqrt.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 2)
	1.5b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.6b	(.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) 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)))))

Compiler

Compiled 4672 to 3405 computations (27.1% saved)

localize72.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 15/8 (pow.f64 x 7))
	0.2b	(+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))))
	0.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (exp.f64 x) x)))
	0.2b	(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))
✓	0.2b	(/.f64 3/4 (pow.f64 x 5))
✓	0.2b	(+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))
✓	0.6b	(*.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (exp.f64 x) x))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 156 to 116 computations (25.6% saved)

series5.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 3/4 (pow.f64 x 5))
1.0ms	x	@	0	(*.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (exp.f64 x) x))
1.0ms	x	@	inf	(*.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (exp.f64 x) x))
1.0ms	x	@	-inf	(*.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (exp.f64 x) x))
1.0ms	x	@	0	(+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))

rewrite180.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

428×	`log1p-udef_binary64`
256×	`add-sqr-sqrt_binary64`
246×	`add-log-exp_binary64`
245×	`log1p-expm1-u_binary64`
245×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	521	56
2	7341	56

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

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

(+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))

(/.f64 3/4 (pow.f64 x 5))

Outputs

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(pow.f64 x -7))))) (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (*.f64 3/4 (pow.f64 x -5)))) (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))) 3)) (pow.f64 (exp.f64 x) x)) (+.f64 (pow.f64 x -2) (*.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))) (-.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x -2) 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(2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))))) (*.f64 x x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 225/64 (pow.f64 x 14)) (+.f64 (*.f64 15/8 (pow.f64 x -7)) (*.f64 -1/2 (pow.f64 x -3)))) (/.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (*.f64 15/8 (pow.f64 x -7)) (*.f64 -1/2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))) 2) (cbrt.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))) (sqrt.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 15/8 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 1/2)) (/.f64 1 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 3375/512 (pow.f64 (pow.f64 x -7) 3)) (*.f64 1/8 (pow.f64 (pow.f64 x -3) 3))) (/.f64 1 (-.f64 (+.f64 (/.f64 225/64 (pow.f64 x 14)) (/.f64 1/4 (pow.f64 x 6))) (/.f64 15/16 (pow.f64 x 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 225/64 (pow.f64 x 14)) (/.f64 1/4 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 15/8 (pow.f64 x -7)) (*.f64 -1/2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 10) (fma.f64 15/8 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 225/64 (pow.f64 x 14)) (/.f64 1/4 (pow.f64 x 6))) (/.f64 15/16 (pow.f64 x 10))) (+.f64 (*.f64 3375/512 (pow.f64 (pow.f64 x -7) 3)) (*.f64 1/8 (pow.f64 (pow.f64 x -3) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 15/8 (pow.f64 x -7)) (*.f64 -1/2 (pow.f64 x -3))) (-.f64 (/.f64 225/64 (pow.f64 x 14)) (/.f64 1/4 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 15/8 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 1/2)) (pow.f64 x 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3375/512 (pow.f64 (pow.f64 x -7) 3)) (*.f64 1/8 (pow.f64 (pow.f64 x -3) 3))) (-.f64 (+.f64 (/.f64 225/64 (pow.f64 x 14)) (/.f64 1/4 (pow.f64 x 6))) (/.f64 15/16 (pow.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3375/512 (pow.f64 (pow.f64 x -7) 3)) (*.f64 1/8 (pow.f64 (pow.f64 x -3) 3))) (+.f64 (/.f64 1/4 (pow.f64 x 6)) (-.f64 (/.f64 225/64 (pow.f64 x 14)) (/.f64 15/16 (pow.f64 x 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 225/64 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(+.f64 (neg.f64 (pow.f64 x 7)) (*.f64 (*.f64 (pow.f64 x 3) 2) -15/8)) (*.f64 (*.f64 (pow.f64 x 3) 2) (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 (neg.f64 (pow.f64 x 7))) (*.f64 (pow.f64 x 3) -15/8)) (*.f64 (pow.f64 x 3) (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (neg.f64 (pow.f64 x 7))) (*.f64 (neg.f64 (pow.f64 x 3)) -15/8)) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 225/64 (pow.f64 x 14))) (-.f64 (*.f64 1/2 (pow.f64 x -3)) (*.f64 15/8 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 15/8 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 1/2)) (pow.f64 x 7)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 15/8 (pow.f64 x -7)) (*.f64 1/2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (pow.f64 x -3)) (*.f64 15/8 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (pow.f64 x -3) (*.f64 15/8 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 225/64 (pow.f64 x 14))) (cbrt.f64 (*.f64 15/8 (pow.f64 x -7))) (*.f64 1/2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/2) x) 2) (/.f64 (cbrt.f64 1/2) x) (*.f64 15/8 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 15/8) (pow.f64 x 7/2)) (/.f64 (sqrt.f64 15/8) (pow.f64 x 7/2)) (*.f64 1/2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3/2)) (*.f64 15/8 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/4 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/4 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/4 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -5))) (cbrt.f64 (/.f64 9/16 (pow.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/4 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 3/4) (pow.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/4 (/.f64 1 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/4 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27/64 (pow.f64 (pow.f64 x -5) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9/16 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27/64 (pow.f64 (pow.f64 x -5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/4 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/4 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/4 (pow.f64 x -5))) 1))))))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-def_binary64`
611×	`associate-*l/_binary64`
456×	`sqr-pow_binary64`
408×	`associate-l_binary64`
397×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	508
1	112	496
2	269	478
3	650	464
4	1903	458
5	5401	458
6	6178	458
7	7108	458

Stop Event

1×	node limit

Counts

129 → 123

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (PI.f64))
	0.4b	(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
	0.2b	(*.f64 15/8 (pow.f64 x -7))
✓	0.2b	(*.f64 15/8 (pow.f64 x -7))
✓	0.4b	(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 23 to 16 computations (30.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	194	20
2	2394	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-/l/_binary64`
822×	`unswap-sqr_binary64`
516×	`*-commutative_binary64`
425×	`sqr-pow_binary64`
423×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	312
1	26	276
2	53	276
3	143	276
4	474	276
5	2145	276
6	2373	276
7	2712	276
8	4023	276
9	4134	276
10	4306	276
11	6041	276
12	6393	276
13	6890	276
14	7756	276

Stop Event

1×	node limit

Counts

78 → 57

Calls

Call 1

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

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

localize56.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.0b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
✓	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	0.4b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (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)))))
✓	0.6b	(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (pow.f64 (exp.f64 x) x))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 139 to 81 computations (41.7% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

447×	`log1p-udef_binary64`
268×	`add-sqr-sqrt_binary64`
255×	`pow1_binary64`
254×	`*-un-lft-identity_binary64`
253×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	82
1	537	70
2	7755	70

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs

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

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

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

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

872×	`times-frac_binary64`
486×	`associate-/r*_binary64`
484×	`associate-*l/_binary64`
427×	`associate-/l*_binary64`
384×	`associate-*r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1051
1	184	920
2	539	835
3	2053	817
4	6338	799
5	7159	799
6	7576	799

Stop Event

1×	node limit

Counts

136 → 129

Calls

Call 1

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

localize65.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 15/8 (pow.f64 x 6))
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.0b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
✓	0.4b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
✓	0.5b	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 170 to 91 computations (46.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

296×	`add-sqr-sqrt_binary64`
281×	`pow1_binary64`
280×	`add-log-exp_binary64`
279×	`*-un-lft-identity_binary64`
278×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	66
1	623	56

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs

(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))

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

Outputs

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

562×	`cancel-sign-sub-inv_binary64`
469×	`associate-*l/_binary64`
450×	`associate-/l*_binary64`
445×	`associate-/r*_binary64`
389×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	926
1	184	779
2	607	690
3	2387	672
4	6496	672

Stop Event

1×	node limit

Counts

127 → 129

Calls

Call 1

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

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

localize69.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))
	0.2b	(fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))
	0.2b	(fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))
	0.1b	(sqrt.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))
✓	0.5b	(pow.f64 (sqrt.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 2)
✓	0.5b	(.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 165 to 107 computations (35.2% saved)

series13.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 2)
3.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 2)
1.0ms	x	@	0	(.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
1.0ms	x	@	-inf	(.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))

rewrite107.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`prod-diff_binary64`
432×	`log1p-udef_binary64`
258×	`add-sqr-sqrt_binary64`
247×	`add-log-exp_binary64`
246×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	82
1	562	82
2	6371	82

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs

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

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

Outputs

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simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

123 → 87

Calls

Call 1

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

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

eval562.0ms (4.6%)

Compiler: Compiled 24136 to 15661 computations (35.1% saved)

prune314.0ms (2.6%)

Pruning

82 alts after pruning (78 fresh and 4 done)

	Pruned	Kept	Total
New	658	42	700
Fresh	30	36	66
Picked	1	0	1
Done	1	4	5
Total	690	82	772

Error

0.1b

Counts

772 → 82

Alt Table

Click to see full alt table

Status	Error	Program
	9.0b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (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 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
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▶	1.9b	(.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)))))
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✓	2.2b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (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)))))
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	56.0b	(.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)))))
	1.7b	(.f64 (log.f64 (exp.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	10.2b	(pow.f64 (pow.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)))) 3) 1/3)
	1.5b	(.f64 (exp.f64 (log.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
▶	1.4b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	6.7b	(.f64 (neg.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.6b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (.f64 x x)))) (/.f64 (pow.f64 (exp.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)))))
	2.9b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (exp.f64 (.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)))))
✓	1.5b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (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)))))
▶	57.1b	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
	6.0b	(.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 x x)) x) (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))
	1.5b	(.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)))))
	56.6b	(.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)))))

Compiler

Compiled 5171 to 3798 computations (26.6% saved)

localize62.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1/2 (pow.f64 x 3))
	0.2b	(/.f64 15/8 (pow.f64 x 7))
	0.2b	(+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))))
	0.2b	(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))
	0.2b	(+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))
	0.3b	(*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64))))
✓	0.5b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 139 to 102 computations (26.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

297×	`add-sqr-sqrt_binary64`
283×	`add-log-exp_binary64`
282×	`log1p-expm1-u_binary64`
282×	`expm1-log1p-u_binary64`
280×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	48
1	606	41

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 3/4 (pow.f64 x -5))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (*.f64 (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 1 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 1 x) (*.f64 3/4 (pow.f64 x -5)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (pow.f64 (exp.f64 x) x)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) 3)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) 2) (/.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) 2)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (-.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) 3))) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) 2) (/.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) 2))) (-.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (pow.f64 (exp.f64 x) x)) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) 3) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) 1))))))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

39 → 43

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
0.0ms	x	@	0	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
0.0ms	x	@	-inf	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 25

Calls

Call 1

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

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

localize53.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 15/8 (pow.f64 x 6))
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.0b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	0.4b	(.f64 (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 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.0b	(sqrt.f64 (PI.f64))
✓	2.6b	(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))

Compiler

Compiled 138 to 65 computations (52.9% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))
1.0ms	x	@	0	(.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 (+.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 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 (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 (+.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 x (sqrt.f64 (PI.f64))))))

rewrite94.0ms (0.8%)

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	7356	56

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x))))) (#(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) (sqrt.f64 (PI.f64))) x)) (*.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (*.f64 15/8 (pow.f64 x -6)))) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (pow.f64 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6))) 3))) (*.f64 (*.f64 x (sqrt.f64 (PI.f64))) (-.f64 (+.f64 1 (pow.f64 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6))) 2)) (fma.f64 (fma.f64 3/4 (pow.f64 x 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simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-*l/_binary64`
456×	`associate-+l+_binary64`
448×	`associate-+r+_binary64`
423×	`associate-/l/_binary64`
411×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	1187
1	228	938
2	734	779
3	3327	673
4	6896	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 (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))))
(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))))))
(*.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 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4))) (.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 6))))))
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 (.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4))) (.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 6))))))

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

localize51.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 15/8 (pow.f64 x 6))
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.0b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
✓	0.4b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.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)))))
✓	0.5b	(/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.f64 x))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 151 to 67 computations (55.6% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	560	56

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

Inputs

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

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

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

456×	`fma-def_binary64`
405×	`fma-neg_binary64`
376×	`associate-/l/_binary64`
319×	`times-frac_binary64`
300×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	886
1	243	755
2	835	670
3	4239	646
4	7330	646

Stop Event

1×	node limit

Counts

136 → 140

Calls

Call 1

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

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

localize71.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 15/8 (pow.f64 x 6))
	0.2b	(/.f64 3/4 (*.f64 x x))
	0.1b	(+.f64 1/2 (/.f64 3/4 (*.f64 x x)))
	0.0b	(+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))))
✓	0.5b	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
✓	0.8b	(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)

rewrite44.0ms (0.4%)

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))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 2 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 (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	254
1	93	250
2	207	246
3	592	244
4	2058	244
5	3920	244
6	5184	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)
(+.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 1/3 (*.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 1/3 (*.f64 x x) (fma.f64 1/18 (pow.f64 x 4) (fma.f64 1/162 (pow.f64 x 6) 1)))
(fma.f64 1/18 (pow.f64 x 4) (fma.f64 1/162 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) 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))))
(fma.f64 2/3 (.f64 x x) (+.f64 1 (.f64 (pow.f64 x 4) 2/9)))
(fma.f64 (*.f64 x x) 2/3 (fma.f64 (pow.f64 x 4) 2/9 1))
(fma.f64 x (*.f64 x 2/3) (fma.f64 (pow.f64 x 4) 2/9 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 2/9 2/3) 1)
(fma.f64 (pow.f64 x 4) 2/9 (fma.f64 x (*.f64 x 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 (pow.f64 x 4) 2/9 (.f64 (pow.f64 x 6) 4/81)) (fma.f64 (.f64 x x) 2/3 1))
(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 (pow.f64 x 6) 4/81 (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) (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))

eval503.0ms (4.1%)

Compiler: Compiled 25871 to 14904 computations (42.4% saved)

prune235.0ms (1.9%)

Pruning

107 alts after pruning (100 fresh and 7 done)

	Pruned	Kept	Total
New	661	47	708
Fresh	20	53	73
Picked	1	0	1
Done	1	7	8
Total	683	107	790

Error

0.1b

Counts

790 → 107

Alt Table

Click to see full alt table

Status	Error	Program
	9.0b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (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 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.5b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (pow.f64 (PI.f64) -1/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.9b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (.f64 15/8 (pow.f64 x -6)))))) 3)
	1.5b	(.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))
	1.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -5))))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (exp.f64 x) x)))
	56.0b	(.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)))))
	1.5b	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))))) 2)
	9.7b	(.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (/.f64 x (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)))))
	1.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -5)))) 1) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (exp.f64 x) x)))
	9.0b	(.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (.f64 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)))))
	1.5b	(*.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
	3.0b	(.f64 (neg.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 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)))))
	2.1b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
	57.1b	(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 15/8 (pow.f64 x -7))))
	3.0b	(.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 1/3) 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)))))
	3.1b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 x x) (log.f64 (sqrt.f64 (PI.f64)))) (log.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)))))
	1.5b	(.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (exp.f64 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)))))
	44.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 1/2 (*.f64 x x)) 1)))
	1.9b	(.f64 (neg.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (.f64 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)))))
	1.6b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (pow.f64 (PI.f64) -1/2))) (sqrt.f64 x)) (sqrt.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 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (PI.f64) -1/2) (cbrt.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)))))
✓	2.2b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.6b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (.f64 (.f64 x x) (PI.f64)))) (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)))))
	3.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))
	56.0b	(.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)))))
	1.5b	(.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)))))
	57.1b	(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
	3.4b	(.f64 (neg.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x (neg.f64 (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	(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 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)))))
	2.8b	(.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 x (/.f64 1 (pow.f64 (PI.f64) -1/2)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.1b	(.f64 (/.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.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)))))
	43.2b	(.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)))))
	56.6b	(.f64 (/.f64 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)))))
	2.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (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)))))
	57.1b	(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
	1.6b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.7b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 x -3) (.f64 15/8 (pow.f64 x -7))))) 1))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	3.1b	(*.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))
	2.2b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (pow.f64 (/.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) -1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.5b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.5b	(.f64 (.f64 (/.f64 1 x) (/.f64 (pow.f64 (exp.f64 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)))))
	1.9b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	3.0b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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)))))
	1.9b	(*.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3))
	1.5b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 x)) (/.f64 (pow.f64 (PI.f64) -1/2) (sqrt.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)))))
	1.7b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (sqrt.f64 x)) (sqrt.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)))))
	1.5b	(.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 -1 (sqrt.f64 (PI.f64)))) (neg.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)))))
	2.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 (exp.f64 (.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)))))))
	1.6b	(.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) 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)))))
	2.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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)))))
	2.5b	(.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3) 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)))))
	2.9b	(.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)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))
	2.9b	(.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (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)))))
	6.1b	(.f64 (neg.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (.f64 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)))))
	1.5b	(.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)))))
	1.9b	(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (cbrt.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)))))
	57.1b	(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
	10.3b	(.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	2.3b	(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.5b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (/.f64 1 (pow.f64 (PI.f64) -1/2)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.7b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (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 (exp.f64 (log1p.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))))) 1) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	2.5b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (exp.f64 (.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)))))
✓	1.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (pow.f64 (exp.f64 x) x)))
	1.5b	(.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)))))
	3.1b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (exp.f64 (+.f64 (log.f64 (pow.f64 (PI.f64) -1/2)) (.f64 x x))))
	2.8b	(.f64 (exp.f64 (+.f64 (.f64 x x) (log.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.2b	(.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)))))
	2.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (exp.f64 (*.f64 x x))))
	56.6b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.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)))))
	10.4b	(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (*.f64 x (/.f64 1 (pow.f64 (PI.f64) -1/2)))) 3) 1/3)
✓	1.6b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.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)))))
	2.0b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 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)))))
	1.6b	(.f64 (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (pow.f64 x 1/4)) (/.f64 (pow.f64 x -1/2) (pow.f64 x 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)))))
	1.9b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.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)))))
	44.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))))
	3.0b	(.f64 (.f64 (/.f64 (exp.f64 (.f64 2 (.f64 (.f64 x x) 1/3))) (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)))))
	1.5b	(.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)))))
	1.7b	(.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (neg.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.1b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (sqrt.f64 x)) (sqrt.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)))))
	1.5b	(.f64 (.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (.f64 x (PI.f64)))) (pow.f64 x 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)))))
	1.5b	(.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (.f64 x (PI.f64)))) (pow.f64 x -1/2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	57.1b	(*.f64 15/8 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
	44.2b	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))
	3.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (+.f64 (log.f64 (+.f64 (/.f64 1 x) (fma.f64 3/4 (pow.f64 x -5) (fma.f64 1/2 (pow.f64 x -3) (.f64 15/8 (pow.f64 x -7)))))) (*.f64 x x))))
	57.1b	(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
	2.4b	(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	44.2b	(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
	2.6b	(.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)))))
	1.7b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (log.f64 (exp.f64 (fma.f64 1/2 (pow.f64 x -3) (.f64 15/8 (pow.f64 x -7))))))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	1.7b	(.f64 (log.f64 (exp.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	10.2b	(pow.f64 (pow.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)))) 3) 1/3)
	1.6b	(.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)))))
	1.5b	(.f64 (exp.f64 (log.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
✓	1.4b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
	6.7b	(.f64 (neg.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (.f64 x (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.6b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (.f64 x x)))) (/.f64 (pow.f64 (exp.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)))))
	2.9b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (exp.f64 (.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)))))
✓	1.5b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (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)))))
✓	57.1b	(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
	6.0b	(.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 x x)) x) (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))
	1.5b	(.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)))))
	2.9b	(.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))

Compiler

Compiled 3473 to 2549 computations (26.6% saved)

regimes535.0ms (4.4%)

Counts

196 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 15/8 (pow.f64 x -7))))
(*.f64 15/8 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (/.f64 x (pow.f64 x -6))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))))
(.f64 (/.f64 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 (/.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 (/.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 (/.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 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.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 (neg.f64 (/.f64 1 (.f64 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 (.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 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) x) (pow.f64 (exp.f64 x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))
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(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (.f64 (fabs.f64 x) (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 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.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 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 x (neg.f64 (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)))))
(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 x (neg.f64 (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)))))
(pow.f64 (exp.f64 (.f64 3 (-.f64 (fma.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))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) 1/3)
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (.f64 (.f64 x x) (PI.f64)))) (/.f64 (+.f64 (fma.f64 15/8 (pow.f64 x -6) (.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))) 1) (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))
(.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3) 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)))))
(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 x (neg.f64 (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)))))
(.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 x (neg.f64 (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)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (.f64 (PI.f64) (.f64 x x)))) (/.f64 (sqrt.f64 (pow.f64 (exp.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)))))
(*.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3))
(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (fabs.f64 x) (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)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 x x)) x) (PI.f64))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3))))))
(.f64 (.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) (fma.f64 15/8 (pow.f64 x -7) (*.f64 1/2 (pow.f64 x -3)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 x x)) x) (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.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)))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x) (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x) (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1)))))) 3)
(.f64 (fma.f64 (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -5) (/.f64 1 x))) (fma.f64 15/8 (pow.f64 x -7) (.f64 1/2 (pow.f64 x -3)))) (*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (+.f64 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)) (/.f64 1 (fabs.f64 x))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 7)) (/.f64 1/2 (pow.f64 (fabs.f64 x) 3)))) (.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) 2) (pow.f64 (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) 2)) (pow.f64 (exp.f64 x) x)) (.f64 (-.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x))) (sqrt.f64 (PI.f64))))
(.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))))))
(.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))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) (pow.f64 (.f64 (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3)) (+.f64 (.f64 (.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (-.f64 (.f64 (.f64 (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (.f64 (.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (.f64 (.f64 (fma.f64 3/4 (pow.f64 (pow.f64 x -1) 5) (fma.f64 1/2 (pow.f64 x -3) (pow.f64 x -1))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (.f64 (*.f64 15/8 (/.f64 (pow.f64 (pow.f64 x -1) 6) x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))))

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

Calls

3 calls:

121.0ms

(*.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))))))

120.0ms

(fabs.f64 x)

110.0ms

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
1.4b	1	`(fabs.f64 x)`

Compiler

Compiled 6731 to 3829 computations (43.1% saved)

regimes85.0ms (0.7%)

Counts

75 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (/.f64 -1 (sqrt.f64 (PI.f64)))) (neg.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
1.5b	1	`x`

Compiler

Compiled 1931 to 1140 computations (41% saved)

regimes83.0ms (0.7%)

Counts

55 → 1

Calls

Call 1

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

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

Calls

1 calls:

53.0ms

Results

Error	Segments	Branch
1.5b	1	`x`

Compiler

Compiled 1290 to 759 computations (41.2% saved)

regimes43.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.5b	1	`x`

Compiler

Compiled 859 to 525 computations (38.9% saved)

regimes44.0ms (0.4%)

Counts

40 → 1

Calls

Call 1

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

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:

26.0ms

Results

Error	Segments	Branch
1.5b	1	`x`

Compiler

Compiled 829 to 508 computations (38.7% saved)

regimes40.0ms (0.3%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
1.5b	1	`x`

Compiler

Compiled 800 to 493 computations (38.4% saved)

regimes100.0ms (0.8%)

Counts

38 → 1

Calls

Call 1

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

Outputs
(.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)))))

Calls

1 calls:

46.0ms

Results

Error	Segments	Branch
1.5b	1	`x`

Compiler

Compiled 771 to 479 computations (37.9% saved)

regimes127.0ms (1%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

1 calls:

109.0ms

Results

Error	Segments	Branch
2.9b	1	`x`

Compiler

Compiled 742 to 466 computations (37.2% saved)

regimes31.0ms (0.3%)

Counts

30 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))
(/.f64 (*.f64 15/8 (pow.f64 x -7)) (sqrt.f64 (PI.f64)))
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 15/8 (pow.f64 x -7))))
(*.f64 15/8 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))
(/.f64 1 (.f64 (.f64 (pow.f64 x 7) 8/15) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(-.f64 (+.f64 1 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1)
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (/.f64 x (pow.f64 x -6))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (.f64 x x)))))
(.f64 (/.f64 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 (/.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 (/.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 (/.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 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.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 (neg.f64 (/.f64 1 (.f64 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 (.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 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) x) (pow.f64 (exp.f64 x) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (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 (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 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (pow.f64 (exp.f64 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 (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)))))

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
44.2b	1	`x`

Compiler

Compiled 552 to 350 computations (36.6% saved)

regimes11.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
57.1b	1	`x`

Compiler

Compiled 111 to 80 computations (27.9% saved)

regimes39.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
57.1b	1	`x`

Compiler

Compiled 87 to 62 computations (28.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
10×	`+-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	74	435
1	103	435
2	106	435
3	107	435

Stop Event

1×

saturated

Calls

Call 1

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

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

end183.0ms (1.5%)

Stop Event

1×

fuel

Compiler

Compiled 572 to 381 computations (33.4% saved)