Details

analyze15.0ms (0.2%)

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
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample3.2s (49%)

Results

3.0s	8256×	body	128	valid
112.0ms	309×	body	128	invalid

preprocess40.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

626×	`associate-*l/_binary64`
457×	`associate-*r/_binary64`
381×	`associate-/l*_binary64`
344×	`distribute-rgt-in_binary64`
324×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	305	58
3	1481	52
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)))))

Compiler

Compiled 104 to 69 computations (33.7% saved)

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-*l/_binary64`
457×	`associate-*r/_binary64`
381×	`associate-/l*_binary64`
344×	`distribute-rgt-in_binary64`
324×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	305	58
3	1481	52

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)))))

prune8.0ms (0.1%)

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

1.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
▶	1.4b	(.f64 (/.f64 (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)))))

Status

Error

Program

2.8b

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

▶

1.4b

(*.f64 (/.f64 (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)))))

Compiler

Compiled 413 to 278 computations (32.7% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	1.1b	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
✓	1.1b	(pow.f64 (exp.f64 x) x)

series13.0ms (0.2%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
2.0ms	x	@	inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
2.0ms	x	@	-inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
1.0ms	x	@	0	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
1.0ms	x	@	0	(pow.f64 (exp.f64 x) x)

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
180×	`log-pow_binary64`
122×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	250	26
2	3037	26

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

Inputs
(pow.f64 (exp.f64 x) x)
(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
(sqrt.f64 (PI.f64))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -5)) (pow.f64 (cbrt.f64 (pow.f64 x -5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x -5)) 2) (cbrt.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -5/2) (pow.f64 x -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 5) (pow.f64 (cbrt.f64 (/.f64 1 x)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x -1/2) 5) (pow.f64 (pow.f64 x -1/2) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 x) 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -5 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -5)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))))) (#(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) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (exp.f64 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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(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)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) -1/2) (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)) (pow.f64 (PI.f64) -1/2)))))) (#(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)) (sqrt.f64 (PI.f64))))))) (#(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)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.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)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) 1/4)))))) (#(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 pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) (PI.f64)))))) (#(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 (PI.f64) 3/2)))))) (#(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 exp.f64 (fma.f64 x x (.f64 -1/2 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 x x (*.f64 -1/2 (log.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))))

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

482×	`fma-def_binary64`
435×	`distribute-rgt-out_binary64`
400×	`*-commutative_binary64`
399×	`associate-l_binary64`
328×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	440
1	87	408
2	214	367
3	633	359
4	2290	359
5	4575	359

Stop Event

1×	node limit

Counts

137 → 121

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

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

prune172.0ms (2.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	105	16	121
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	106	17	123

Error

0.3b

Counts

123 → 17

Alt Table

Status	Error	Program
	1.4b	(.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 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 2) (+.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)))))
	1.7b	(.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.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)))))
	1.9b	(.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 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
▶	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
	1.4b	(.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 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.0b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.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)))))
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.8b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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)))))
	1.6b	(.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 (.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 5) (pow.f64 (cbrt.f64 (/.f64 1 x)) 5)) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) (+.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)))))
	11.0b	(.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) 3) 1/3) (+.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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (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)))))
	2.8b	(.f64 (exp.f64 (fma.f64 x x (.f64 -1/2 (log.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)))))
	2.8b	(.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 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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)))))

Compiler

Compiled 5999 to 3629 computations (39.5% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
✓	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
	1.1b	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
	1.1b	(pow.f64 (exp.f64 x) x)

series10.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
3.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
3.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
1.0ms	x	@	0	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
0.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))

rewrite37.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

315×	`add-sqr-sqrt_binary64`
302×	`pow1_binary64`
300×	`add-log-exp_binary64`
298×	`log1p-expm1-u_binary64`
298×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	66
1	647	66

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs
(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))

Inputs

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

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

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

Outputs

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

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

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

606×	`distribute-rgt-in_binary64`
590×	`distribute-lft-in_binary64`
406×	`fma-def_binary64`
272×	`times-frac_binary64`
151×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1065
1	213	1006
2	654	856
3	2408	795

Stop Event

1×	node limit

Counts

43 → 40

Calls

Call 1

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

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

prune151.0ms (2.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	4	12	16
Picked	0	1	1
Done	0	0	0
Total	86	21	107

Error

0.3b

Counts

107 → 21

Alt Table

Status	Error	Program
	1.6b	(.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 (.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 5) (pow.f64 (cbrt.f64 (/.f64 1 x)) 5)) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) (+.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)))))
	2.8b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (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)))))
▶	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.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)))))
	3.1b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))))
	2.8b	(.f64 (exp.f64 (fma.f64 x x (.f64 -1/2 (log.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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.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 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
✓	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
	1.4b	(.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 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.8b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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)))))
	1.8b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
	1.4b	(.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 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(+.f64 (.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) 1/2))) (.f64 (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2))))
	2.0b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.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)))))
	2.8b	(.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 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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)))))

Compiler

Compiled 5366 to 3624 computations (32.5% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
	1.1b	(pow.f64 (exp.f64 x) x)
✓	9.0b	(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)

series204.0ms (3.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
125.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)
49.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)
25.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)
2.0ms	x	@	0	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
1.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))

rewrite33.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

329×	`add-sqr-sqrt_binary64`
317×	`pow1_binary64`
315×	`add-log-exp_binary64`
313×	`expm1-log1p-u_binary64`
312×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	52
1	691	52

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))

Outputs

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

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

657×	`distribute-rgt-in_binary64`
620×	`distribute-lft-in_binary64`
585×	`times-frac_binary64`
326×	`fma-def_binary64`
170×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	893
1	184	809
2	559	680
3	2509	622

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

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

Outputs
(-.f64 (pow.f64 x -5) 1)
(+.f64 (pow.f64 x -5) -1)
(pow.f64 x -5)
(pow.f64 x -5)
(pow.f64 x -5)
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(.f64 (/.f64 (+.f64 (.f64 15/8 (-.f64 (pow.f64 x -5) 1)) (*.f64 1/2 (/.f64 1 (fabs.f64 x)))) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (/.f64 (fma.f64 15/8 (+.f64 (pow.f64 x -5) -1) (/.f64 1/2 (fabs.f64 x))) (.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/8 (/.f64 1/2 (fabs.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x -5) 15/8 -15/8) (/.f64 1/2 x)) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))
(/.f64 (+.f64 (fma.f64 (pow.f64 x -5) 15/8 -15/8) (/.f64 1/2 x)) (*.f64 x (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 (+.f64 (.f64 3/4 (-.f64 (pow.f64 x -5) 1)) (+.f64 (.f64 3/2 (/.f64 1 (fabs.f64 x))) (.f64 15/8 (-.f64 (pow.f64 x -5) 1)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (+.f64 (.f64 15/8 (-.f64 (pow.f64 x -5) 1)) (*.f64 1/2 (/.f64 1 (fabs.f64 x)))) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 3/4 (+.f64 (pow.f64 x -5) -1) (+.f64 (.f64 (+.f64 (pow.f64 x -5) -1) 15/8) (/.f64 3/2 (fabs.f64 x)))) (/.f64 (fma.f64 15/8 (+.f64 (pow.f64 x -5) -1) (/.f64 1/2 (fabs.f64 x))) (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/8 (/.f64 1/2 (fabs.f64 x))) (.f64 x x)) (fma.f64 (+.f64 (pow.f64 x -5) -1) 3/4 (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/8 (/.f64 3/2 (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x -5) 15/8 -15/8) (/.f64 1/2 x)) (.f64 x x)) (+.f64 (/.f64 3/2 x) (*.f64 (+.f64 (pow.f64 x -5) -1) 21/8))))
(+.f64 (.f64 (+.f64 (.f64 3/4 (-.f64 (pow.f64 x -5) 1)) (+.f64 (.f64 3/2 (/.f64 1 (fabs.f64 x))) (.f64 15/8 (-.f64 (pow.f64 x -5) 1)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 15/8 (-.f64 (pow.f64 x -5) 1)) (.f64 1/2 (/.f64 1 (fabs.f64 x))))) (+.f64 (.f64 3/4 (-.f64 (pow.f64 x -5) 1)) (/.f64 1 (fabs.f64 x)))) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 (/.f64 (+.f64 (.f64 15/8 (-.f64 (pow.f64 x -5) 1)) (*.f64 1/2 (/.f64 1 (fabs.f64 x)))) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (fma.f64 3/4 (+.f64 (pow.f64 x -5) -1) (+.f64 (.f64 (+.f64 (pow.f64 x -5) -1) 15/8) (/.f64 3/2 (fabs.f64 x)))) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (.f64 x x) (fma.f64 1/2 (fma.f64 15/8 (+.f64 (pow.f64 x -5) -1) (/.f64 1/2 (fabs.f64 x))) (fma.f64 3/4 (+.f64 (pow.f64 x -5) -1) (/.f64 1 (fabs.f64 x))))) (/.f64 (fma.f64 15/8 (+.f64 (pow.f64 x -5) -1) (/.f64 1/2 (fabs.f64 x))) (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (+.f64 (pow.f64 x -5) -1) 3/4 (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/8 (/.f64 3/2 (fabs.f64 x)))) (fma.f64 (.f64 x x) (fma.f64 1/2 (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/8 (/.f64 1/2 (fabs.f64 x))) (fma.f64 (+.f64 (pow.f64 x -5) -1) 3/4 (/.f64 1 (fabs.f64 x)))) (/.f64 (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/8 (/.f64 1/2 (fabs.f64 x))) (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 3/2 x) (+.f64 (.f64 (+.f64 (pow.f64 x -5) -1) 21/8) (fma.f64 (.f64 x x) (+.f64 (fma.f64 (pow.f64 x -5) 3/4 -3/4) (+.f64 (/.f64 1 x) (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/16 (/.f64 1/4 x)))) (/.f64 (+.f64 (fma.f64 (pow.f64 x -5) 15/8 -15/8) (/.f64 1/2 x)) (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x -5) 15/8 -15/8) (/.f64 1/2 x)) (.f64 x x)) (+.f64 (/.f64 3/2 x) (+.f64 (.f64 (+.f64 (pow.f64 x -5) -1) 21/8) (fma.f64 (.f64 x x) (+.f64 (/.f64 1/4 x) (*.f64 (+.f64 (pow.f64 x -5) -1) 27/16)) x)))))
(+.f64 (.f64 (+.f64 (.f64 3/4 (-.f64 (pow.f64 x -5) 1)) (+.f64 (.f64 3/2 (/.f64 1 (fabs.f64 x))) (.f64 15/8 (-.f64 (pow.f64 x -5) 1)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 15/8 (-.f64 (pow.f64 x -5) 1)) (.f64 1/2 (/.f64 1 (fabs.f64 x))))) (+.f64 (.f64 3/4 (-.f64 (pow.f64 x -5) 1)) (/.f64 1 (fabs.f64 x)))) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 (/.f64 (+.f64 (.f64 15/8 (-.f64 (pow.f64 x -5) 1)) (*.f64 1/2 (/.f64 1 (fabs.f64 x)))) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 (fma.f64 3/4 (+.f64 (pow.f64 x -5) -1) (+.f64 (.f64 (+.f64 (pow.f64 x -5) -1) 15/8) (/.f64 3/2 (fabs.f64 x)))) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 (.f64 (.f64 x x) (fma.f64 1/2 (fma.f64 15/8 (+.f64 (pow.f64 x -5) -1) (/.f64 1/2 (fabs.f64 x))) (fma.f64 3/4 (+.f64 (pow.f64 x -5) -1) (/.f64 1 (fabs.f64 x))))) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 x x))) (.f64 (/.f64 (fma.f64 15/8 (+.f64 (pow.f64 x -5) -1) (/.f64 1/2 (fabs.f64 x))) (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (+.f64 (pow.f64 x -5) -1) 3/4 (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/8 (/.f64 3/2 (fabs.f64 x)))) (fma.f64 (.f64 x x) (fma.f64 1/2 (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/8 (/.f64 1/2 (fabs.f64 x))) (fma.f64 (+.f64 (pow.f64 x -5) -1) 3/4 (/.f64 1 (fabs.f64 x)))) (/.f64 (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/8 (/.f64 1/2 (fabs.f64 x))) (.f64 x x))))) (.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 x (.f64 x (+.f64 (fma.f64 (pow.f64 x -5) 3/4 -3/4) (+.f64 (/.f64 1 x) (fma.f64 (+.f64 (pow.f64 x -5) -1) 15/16 (/.f64 1/4 x))))) (/.f64 15/8 (.f64 x x))) (+.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x -5) 15/8 -15/8) (/.f64 1/2 x)) (.f64 x x)) (+.f64 (/.f64 3/2 x) (*.f64 (+.f64 (pow.f64 x -5) -1) 21/8)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x -5) 15/8 -15/8) (/.f64 1/2 x)) (.f64 x x)) (/.f64 15/8 (.f64 x x))) (+.f64 (/.f64 3/2 x) (+.f64 (.f64 (+.f64 (pow.f64 x -5) -1) 21/8) (fma.f64 (.f64 x x) (+.f64 (/.f64 1/4 x) (.f64 (+.f64 (pow.f64 x -5) -1) 27/16)) x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.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))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x)))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(+.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 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))))))
(fma.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 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.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 (.f64 1/2 (exp.f64 (.f64 x x))) (.f64 x (*.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 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 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 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 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 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 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (.f64 3/4 (/.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) (fabs.f64 x)) (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)) (/.f64 (.f64 1/2 (exp.f64 (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7))))))
(.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)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (/.f64 15/8 (/.f64 (pow.f64 x 7) (pow.f64 (exp.f64 x) x))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/.f64 (pow.f64 (exp.f64 x) x) (/.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))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x)))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (/.f64 1/2 (.f64 x x)) 1))
(+.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 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))))))
(fma.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 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.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 (.f64 1/2 (exp.f64 (.f64 x x))) (.f64 x (*.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 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 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 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 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 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 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x))))) (.f64 3/4 (/.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) (fabs.f64 x)) (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)) (/.f64 (.f64 1/2 (exp.f64 (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (exp.f64 (.f64 x x)) x) (.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7))))))
(.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)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (/.f64 15/8 (/.f64 (pow.f64 x 7) (pow.f64 (exp.f64 x) x))))))

prune156.0ms (2.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	78	12	90
Fresh	5	14	19
Picked	0	1	1
Done	1	0	1
Total	84	27	111

Error

0.2b

Counts

111 → 27

Alt Table

Status	Error	Program
	1.3b	(.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)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (/.f64 15/8 (/.f64 (pow.f64 x 7) (pow.f64 (exp.f64 x) x))))))
	2.8b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))))
	2.8b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
	1.4b	(.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 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.3b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))))) (pow.f64 (PI.f64) 1/2))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) (+.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)))))
	2.8b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (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)))))
✓	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.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)))))
	2.8b	(.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) 1/2)) 1) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x -5)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x -5)) (+.f64 1 (pow.f64 x -5))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x -5)) 1)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	6.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.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 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.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 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.0b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.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)))))
	2.9b	(.f64 (exp.f64 (log.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) 1/2)))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.8b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.8b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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)))))
	1.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (/.f64 (-.f64 (.f64 (+.f64 1 (pow.f64 x -5)) (+.f64 1 (pow.f64 x -5))) 1) (+.f64 (+.f64 1 (pow.f64 x -5)) 1)) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
▶	1.3b	(+.f64 (.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))) (.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))))
	2.8b	(.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 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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)))))

Compiler

Compiled 5921 to 4116 computations (30.5% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2)))
✓	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))
✓	1.0b	(pow.f64 (PI.f64) 1/2)
	1.1b	(pow.f64 (exp.f64 x) x)

series5.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

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

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

293×	`prod-diff_binary64`
165×	`add-sqr-sqrt_binary64`
160×	`pow1_binary64`
159×	`*-un-lft-identity_binary64`
155×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	334	41
2	4683	41

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 1/2)
(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))
(.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2)))

Outputs

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

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

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

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

977×	`fma-def_binary64`
536×	`times-frac_binary64`
306×	`associate-/l*_binary64`
263×	`associate-/r*_binary64`
218×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	784
1	138	675
2	402	547
3	1706	505

Stop Event

1×	node limit

Counts

129 → 126

Calls

Call 1

Inputs
(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 1/2 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 3/2 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/2 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 5/4 (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/2 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/2 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 5/4 (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/2 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 7/12 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/2 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (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 (/.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 (/.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 (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 (/.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 (/.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))))))

Outputs
(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 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (pow.f64 x 4) (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)) (+.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 (.f64 x x) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1))))
(*.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 1/2 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (.f64 x x) (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1/2 (.f64 x (*.f64 x (fabs.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1/2 (pow.f64 x 3)))
(+.f64 (.f64 3/2 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/2 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 3/2 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (fabs.f64 x)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (*.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1/2 (.f64 x (*.f64 x (fabs.f64 x)))) (/.f64 3/2 (fabs.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 3/2 x) (/.f64 1/2 (pow.f64 x 3))))
(+.f64 (.f64 5/4 (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/2 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/2 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 5/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 x x) (fabs.f64 x))) (fma.f64 3/2 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (fabs.f64 x)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (*.f64 x x) (fabs.f64 x)))))))
(fma.f64 5/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 x x) (fabs.f64 x))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1/2 (.f64 x (*.f64 x (fabs.f64 x)))) (/.f64 3/2 (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 5/4 (.f64 (/.f64 x x) x) (/.f64 3/2 x)) (/.f64 1/2 (pow.f64 x 3))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (fma.f64 x 5/4 (/.f64 3/2 x))))
(+.f64 (.f64 5/4 (.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 3/2 (.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 7/12 (.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 1/2 (.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 5/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (.f64 x x) (fabs.f64 x))) (fma.f64 3/2 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (fabs.f64 x)) (fma.f64 7/12 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 4) (fabs.f64 x))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (.f64 x x) (fabs.f64 x))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 7/12 (/.f64 (pow.f64 x 4) (fabs.f64 x))) (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 5/4 (/.f64 (*.f64 x x) (fabs.f64 x))) (/.f64 3/2 (fabs.f64 x)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 7/12 (/.f64 (pow.f64 x 4) x) (/.f64 1/2 (pow.f64 x 3))) (fma.f64 5/4 (.f64 (/.f64 x x) x) (/.f64 3/2 x))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 3/2 x) (fma.f64 x 5/4 (fma.f64 7/12 (pow.f64 x 3) (/.f64 1/2 (pow.f64 x 3))))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (fabs.f64 x) (pow.f64 (exp.f64 x) x)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x)))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x)))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x)))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (fabs.f64 x) (pow.f64 (exp.f64 x) x)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x)))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x)))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (.f64 x x) (fabs.f64 x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (fabs.f64 x)))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))

prune488.0ms (7.6%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	236	8	244
Fresh	4	21	25
Picked	1	0	1
Done	0	1	1
Total	241	30	271

Error

0.2b

Counts

271 → 30

Alt Table

Status	Error	Program
	2.8b	(expm1.f64 (log1p.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))))
	2.8b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.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)))))
	1.4b	(.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 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.3b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))))) (pow.f64 (PI.f64) 1/2))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) (+.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)))))
	2.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 1/2 (pow.f64 x -2) 1) x))) 3) (.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))))
	6.5b	(+.f64 (.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) (PI.f64)))) (.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))))
	2.8b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	10.6b	(+.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 1/2 (pow.f64 x -2) 1) x)) 3) 1/3) (.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))))
	1.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (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)))))
✓	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.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)))))
	2.7b	(+.f64 (/.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 x (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x -5)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x -5)) (+.f64 1 (pow.f64 x -5))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x -5)) 1)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	6.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.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 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(+.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 1/2 (pow.f64 x -2) 1) x)))) (.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))))
	1.4b	(.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 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.0b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.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)))))
	1.3b	(+.f64 (.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))))
	1.8b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(.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 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	10.6b	(+.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) 3) (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 x -2) 1) x) 3))) (.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))))
	1.7b	(+.f64 (.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (pow.f64 (PI.f64) 1/2))) (.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/2))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (/.f64 (-.f64 (.f64 (+.f64 1 (pow.f64 x -5)) (+.f64 1 (pow.f64 x -5))) 1) (+.f64 (+.f64 1 (pow.f64 x -5)) 1)) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.8b	(.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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)))))

Compiler

Compiled 11793 to 6486 computations (45% saved)

regimes640.0ms (9.9%)

Accuracy

Total 1.0b remaining (80.2%)

Threshold costs 1.0b (80.2%)

Counts

202 → 1

Compiler

Compiled 7938 to 4463 computations (43.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	36	70

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

end883.0ms (13.7%)

Stop Event

1×

fuel

Compiler

Compiled 1351 to 999 computations (26.1% saved)

Details

analyze15.0ms (0.2%)

sample3.2s (49%)

preprocess40.0ms (0.6%)

simplify21.0ms (0.3%)

prune8.0ms (0.1%)

localize22.0ms (0.3%)

series13.0ms (0.2%)

rewrite54.0ms (0.8%)

simplify42.0ms (0.7%)

prune172.0ms (2.7%)

localize28.0ms (0.4%)

series10.0ms (0.2%)

rewrite37.0ms (0.6%)

simplify40.0ms (0.6%)

prune151.0ms (2.3%)

localize31.0ms (0.5%)

series204.0ms (3.2%)

rewrite33.0ms (0.5%)

simplify51.0ms (0.8%)

prune156.0ms (2.4%)

localize23.0ms (0.4%)

series5.0ms (0.1%)

rewrite71.0ms (1.1%)

simplify48.0ms (0.7%)

prune488.0ms (7.6%)

regimes640.0ms (9.9%)

simplify2.0ms (0%)

end883.0ms (13.7%)

Profiling