Details

analyze8.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	12.5%	87.5%	2
0%	6.3%	93.7%	3
0%	3.1%	96.9%	4
0%	1.6%	98.4%	5
0%	0.8%	99.2%	6
0%	0.4%	99.6%	7
0%	0.2%	99.8%	8
0.1%	0.1%	99.8%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample2.7s (47.7%)

Results

2.6s	8256×	body	128	valid
38.0ms	128×	body	128	invalid

Compiler

Compiled 214 to 142 computations (33.6% saved)

preprocess30.0ms (0.5%)

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)

simplify18.0ms (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)))))

prune7.0ms (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

1.3b

Counts

3 → 2

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 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.9b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Status

Error

Program

▶

1.4b

(*.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)))))

2.9b

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

Compiler

Compiled 413 to 278 computations (32.7% saved)

localize22.0ms (0.4%)

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 (exp.f64 x) x)
✓	1.1b	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)

series28.0ms (0.5%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
6.0ms	x	@	inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
5.0ms	x	@	0	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
5.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
3.0ms	x	@	-inf	(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
181×	`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 (/.f64 1 (fabs.f64 x)) 5)
(pow.f64 (exp.f64 x) x)
(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 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 (/.f64 1 (cbrt.f64 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 (pow.f64 x -1) 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.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 +.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 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.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 log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 x x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 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 log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))))
((#(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 1 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))))) (#(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 (/.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) 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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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 log1p.f64 (expm1.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))))))

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

482×	`fma-def_binary64`
445×	`*-commutative_binary64`
436×	`distribute-rgt-out_binary64`
424×	`associate-l_binary64`
340×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	440
1	87	416
2	207	368
3	582	359
4	2276	359
5	4596	359

Stop Event

1×	node limit

Counts

137 → 121

Calls

Call 1

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

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

prune162.0ms (2.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	105	16	121
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	107	16	123

Error

0.3b

Counts

123 → 16

Alt Table

Status	Error	Program
	1.9b	(.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 (/.f64 1 (cbrt.f64 x)) 5)) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.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 (cbrt.f64 (pow.f64 x -5)) (pow.f64 (cbrt.f64 (pow.f64 x -5)) 2)) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.7b	(.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)))))
	1.6b	(.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) (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)))))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (.f64 (cbrt.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 (/.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) (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 (/.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)))))
▶	1.3b	(.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)))))
	1.7b	(.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)))))
	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)))))
	2.3b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.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)))))
	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)))))
	2.1b	(.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 (.f64 (exp.f64 (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (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 5789 to 3507 computations (39.4% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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 (exp.f64 x) x)
	1.1b	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)

series72.0ms (1.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	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)))))
26.0ms	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)))))
11.0ms	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 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
3.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))

rewrite30.0ms (0.5%)

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 log1p.f64 (expm1.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 +.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 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))))))))))) (#(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))))))))))))

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 log1p.f64 (expm1.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 +.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 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))))))))))) (#(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))))))))))))

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

632×	`fma-def_binary64`
342×	`associate-+l+_binary64`
323×	`associate-+r+_binary64`
259×	`associate-l_binary64`
238×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1388
1	290	1266
2	981	990
3	4800	867

Stop Event

1×	node limit

Counts

43 → 41

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (PI.f64)))
(+.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 2)))
(+.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 6))) (+.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 2)))))
(*.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 (sqrt.f64 (/.f64 1 (PI.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)))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))))) (+.f64 (.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 (fabs.f64 x) 5)))) (.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2))))))))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x)))) (+.f64 (.f64 27/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 2) (pow.f64 (fabs.f64 x) 5)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))))) (+.f64 (.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 (fabs.f64 x) 5)))) (+.f64 (.f64 5/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 2) (fabs.f64 x)))) (.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2))))))))))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x)))) (+.f64 (.f64 27/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 2) (pow.f64 (fabs.f64 x) 5)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))))) (+.f64 (.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 (fabs.f64 x) 5)))) (+.f64 (.f64 7/12 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 4) (fabs.f64 x)))) (+.f64 (.f64 11/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 4) (pow.f64 (fabs.f64 x) 5)))) (+.f64 (.f64 5/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 2) (fabs.f64 x)))) (.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2))))))))))))
(.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 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (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)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (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)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (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)) (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)) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (/.f64 1 (fabs.f64 x)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (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)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (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)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (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)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 2)))
(+.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x x)))
(.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 2))))
(+.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x x))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 x 4) 1/2)) (.f64 (+.f64 (.f64 x x) 1) (sqrt.f64 (/.f64 1 (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (pow.f64 x 4)) (fma.f64 x x 1)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 6))) (+.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 2)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 6)) (+.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 x x)))))
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(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 (pow.f64 (exp.f64 x) x) (/.f64 3/4 (pow.f64 x 5)) (.f64 (/.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 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
(.f64 (.f64 (exp.f64 (pow.f64 x 2)) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (/.f64 1 (fabs.f64 x)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 3/4 (pow.f64 (fabs.f64 x) 5)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 3/4 (pow.f64 (fabs.f64 x) 5))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 1 x) (/.f64 3/4 (pow.f64 x 5))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (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)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (fabs.f64 x) 5))) (fma.f64 15/8 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (.f64 x x))) (.f64 (.f64 x x) (pow.f64 (fabs.f64 x) 5))) (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 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 x x) (fabs.f64 x)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (fabs.f64 x) 5))) (/.f64 (.f64 15/8 (pow.f64 (exp.f64 x) x)) (.f64 x (*.f64 x (pow.f64 (fabs.f64 x) 5)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 (pow.f64 (exp.f64 x) x) (/.f64 3/4 (pow.f64 x 5)) (.f64 (/.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 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (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)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (fabs.f64 x) 5))) (fma.f64 15/8 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (.f64 x x))) (.f64 (.f64 x x) (pow.f64 (fabs.f64 x) 5))) (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 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 x x) (fabs.f64 x)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (fabs.f64 x) 5))) (/.f64 (.f64 15/8 (pow.f64 (exp.f64 x) x)) (.f64 x (*.f64 x (pow.f64 (fabs.f64 x) 5)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 (pow.f64 (exp.f64 x) x) (/.f64 3/4 (pow.f64 x 5)) (.f64 (/.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 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (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)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (fabs.f64 x) 5))) (fma.f64 15/8 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (.f64 x x))) (.f64 (.f64 x x) (pow.f64 (fabs.f64 x) 5))) (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 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 x x) (fabs.f64 x)))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (fabs.f64 x) 5))) (/.f64 (.f64 15/8 (pow.f64 (exp.f64 x) x)) (.f64 x (*.f64 x (pow.f64 (fabs.f64 x) 5)))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 (pow.f64 (exp.f64 x) x) (/.f64 3/4 (pow.f64 x 5)) (.f64 (/.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 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))

prune132.0ms (2.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	83	8	91
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	88	19	107

Error

0.2b

Counts

107 → 19

Alt Table

Status	Error	Program
	1.5b	(.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 (cbrt.f64 (pow.f64 x -5)) (pow.f64 (cbrt.f64 (pow.f64 x -5)) 2)) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.6b	(.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)))))
	2.7b	(.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)))))
	1.6b	(.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) (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)))))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (.f64 (cbrt.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 (/.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) (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 (/.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)))))
	2.9b	(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))))))))
	2.2b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.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)))))
	1.9b	(.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) (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 (exp.f64 (pow.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)))))
	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)))))
▶	1.2b	(.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 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
	1.9b	(.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)))))
	1.4b	(.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)))))
	2.1b	(.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)))))

Compiler

Compiled 5296 to 3571 computations (32.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 15/8 (*.f64 x x))
✓	0.3b	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
✓	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))
	1.1b	(pow.f64 (exp.f64 x) x)

series17.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))
3.0ms	x	@	-inf	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
3.0ms	x	@	-inf	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))
2.0ms	x	@	inf	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
1.0ms	x	@	0	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

320×	`prod-diff_binary64`
175×	`add-sqr-sqrt_binary64`
166×	`add-log-exp_binary64`
164×	`add-exp-log_binary64`
164×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	358	38
2	4660	38

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(/.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 15/8 (*.f64 x x))

Outputs

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

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

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

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

663×	`associate-/r*_binary64`
529×	`associate-/l*_binary64`
521×	`associate-/l/_binary64`
453×	`fma-def_binary64`
394×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	480
1	103	476
2	231	456
3	552	456
4	1554	456

Stop Event

1×	node limit

Counts

136 → 121

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 5))
(+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 1/6 x))))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 1/2 (pow.f64 x 3))
(+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (*.f64 5/4 x)))
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 7/12 (pow.f64 x 3)) (.f64 5/4 x))))
(/.f64 (exp.f64 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 (exp.f64 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (pow.f64 x 2))

Outputs
(/.f64 1 (pow.f64 x 5))
(+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 1/6 x))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 x 1/6))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (fma.f64 x 1/6 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (fma.f64 x 1/6 (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (fma.f64 x 1/6 (/.f64 1 (pow.f64 x 5)))))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))
(/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))
(/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))
(/.f64 1/2 (pow.f64 x 3))
(+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3/2 x) (/.f64 1/2 (pow.f64 x 3)))
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (*.f64 5/4 x)))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (*.f64 x 5/4)))
(+.f64 (/.f64 3/2 x) (fma.f64 x 5/4 (/.f64 1/2 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (fma.f64 x 5/4 (/.f64 3/2 x)))
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 7/12 (pow.f64 x 3)) (.f64 5/4 x))))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (fma.f64 7/12 (pow.f64 x 3) (*.f64 x 5/4))))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (fma.f64 x 5/4 (*.f64 (pow.f64 x 3) 7/12))))
(+.f64 (/.f64 3/2 x) (fma.f64 x 5/4 (fma.f64 (pow.f64 x 3) 7/12 (/.f64 1/2 (pow.f64 x 3)))))
(+.f64 (fma.f64 (pow.f64 x 3) 7/12 (/.f64 1/2 (pow.f64 x 3))) (fma.f64 x 5/4 (/.f64 3/2 x)))
(/.f64 (exp.f64 (pow.f64 x 2)) x)
(/.f64 (exp.f64 (*.f64 x x)) x)
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(/.f64 (exp.f64 (pow.f64 x 2)) x)
(/.f64 (exp.f64 (*.f64 x x)) x)
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (/.f64 (exp.f64 (pow.f64 x 2)) x))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 x x)) x))
(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))
(/.f64 15/8 (pow.f64 x 2))
(/.f64 15/8 (*.f64 x x))

prune248.0ms (4.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	171	8	179
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	175	23	198

Error

0.2b

Counts

198 → 23

Alt Table

Status	Error	Program
	2.2b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.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)))))
▶	1.2b	(.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 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (sqrt.f64 (/.f64 225/64 (pow.f64 x 4)))))))
	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)))))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 x (pow.f64 (exp.f64 x) x)))) 3) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
	1.5b	(.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 (cbrt.f64 (pow.f64 x -5)) (pow.f64 (cbrt.f64 (pow.f64 x -5)) 2)) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.6b	(.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)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) -1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 1/2 (pow.f64 x -2) -1)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	2.7b	(.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)))))
	1.4b	(.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)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (.f64 (cbrt.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 (/.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) (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)))))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) -1) (.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (fma.f64 1/2 (pow.f64 x -2) -1))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	2.1b	(.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)))))
	1.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	2.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 (/.f64 1/2 x) x)) (-.f64 (.f64 x x) (log.f64 x)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 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 (log.f64 (exp.f64 (pow.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)))))
	1.9b	(.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)))))
	1.4b	(.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)))))
	2.9b	(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))))))))

Compiler

Compiled 9082 to 5366 computations (40.9% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (sqrt.f64 (/.f64 225/64 (pow.f64 x 4)))))
	0.3b	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))
	1.1b	(pow.f64 (exp.f64 x) x)

series8.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (sqrt.f64 (/.f64 225/64 (pow.f64 x 4)))))

3.0ms

inf

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (sqrt.f64 (/.f64 225/64 (pow.f64 x 4)))))

1.0ms

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (sqrt.f64 (/.f64 225/64 (pow.f64 x 4)))))

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

392×	`prod-diff_binary64`
164×	`add-sqr-sqrt_binary64`
162×	`add-log-exp_binary64`
161×	`log1p-expm1-u_binary64`
161×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	346	24
2	4481	24

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (sqrt.f64 (/.f64 225/64 (pow.f64 x 4)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5)) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x))) (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5)) 1) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 x 5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3/4 (/.f64 15/8 (*.f64 x x))) (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 5) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27/64 (/.f64 3375/512 (pow.f64 (*.f64 x x) 3))) (*.f64 (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x))) (+.f64 9/16 (fma.f64 225/64 (pow.f64 x -4) (neg.f64 (/.f64 45/32 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 9/16 (*.f64 -225/64 (pow.f64 x -4))) (*.f64 (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x))) (-.f64 3/4 (/.f64 15/8 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))) (neg.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 27/64 (/.f64 3375/512 (pow.f64 (*.f64 x x) 3)))) (*.f64 (pow.f64 x 5) (+.f64 9/16 (fma.f64 225/64 (pow.f64 x -4) (neg.f64 (/.f64 45/32 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 x x))) (+.f64 27/64 (/.f64 3375/512 (pow.f64 (*.f64 x x) 3)))) (*.f64 (neg.f64 (pow.f64 x 5)) (+.f64 9/16 (fma.f64 225/64 (pow.f64 x -4) (neg.f64 (/.f64 45/32 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 9/16 (*.f64 -225/64 (pow.f64 x -4)))) (*.f64 (pow.f64 x 5) (-.f64 3/4 (/.f64 15/8 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 x x))) (+.f64 9/16 (*.f64 -225/64 (pow.f64 x -4)))) (*.f64 (neg.f64 (pow.f64 x 5)) (-.f64 3/4 (/.f64 15/8 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27/64 (/.f64 3375/512 (pow.f64 (*.f64 x x) 3))) (exp.f64 (*.f64 x x))) (*.f64 (+.f64 9/16 (fma.f64 225/64 (pow.f64 x -4) (neg.f64 (/.f64 45/32 (*.f64 x x))))) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 9/16 (*.f64 -225/64 (pow.f64 x -4))) (exp.f64 (*.f64 x x))) (*.f64 (-.f64 3/4 (/.f64 15/8 (*.f64 x x))) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27/64 (/.f64 3375/512 (pow.f64 (*.f64 x x) 3))) 1) (*.f64 (+.f64 9/16 (fma.f64 225/64 (pow.f64 x -4) (neg.f64 (/.f64 45/32 (*.f64 x x))))) (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 9/16 (*.f64 -225/64 (pow.f64 x -4))) 1) (*.f64 (-.f64 3/4 (/.f64 15/8 (*.f64 x x))) (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27/64 (/.f64 3375/512 (pow.f64 (*.f64 x x) 3))) (neg.f64 (exp.f64 (*.f64 x x)))) (*.f64 (+.f64 9/16 (fma.f64 225/64 (pow.f64 x -4) (neg.f64 (/.f64 45/32 (*.f64 x x))))) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 9/16 (*.f64 -225/64 (pow.f64 x -4))) (neg.f64 (exp.f64 (*.f64 x x)))) (*.f64 (-.f64 3/4 (/.f64 15/8 (*.f64 x x))) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5)) 3) (pow.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5)) (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5))) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x))) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x)))) (*.f64 (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5)) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5)) (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x))) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x))))) (-.f64 (*.f64 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x -5)) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) 1) (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (pow.f64 x 5/2)) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 x x))) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (neg.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27/64 (/.f64 3375/512 (pow.f64 (*.f64 x x) 3))) (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5))) (+.f64 9/16 (fma.f64 225/64 (pow.f64 x -4) (neg.f64 (/.f64 45/32 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 9/16 (*.f64 -225/64 (pow.f64 x -4))) (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5))) (-.f64 3/4 (/.f64 15/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (+.f64 27/64 (/.f64 3375/512 (pow.f64 (*.f64 x x) 3)))) (+.f64 9/16 (fma.f64 225/64 (pow.f64 x -4) (neg.f64 (/.f64 45/32 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (+.f64 9/16 (*.f64 -225/64 (pow.f64 x -4)))) (-.f64 3/4 (/.f64 15/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3/4 (/.f64 15/8 (*.f64 x x))) (neg.f64 (exp.f64 (*.f64 x x)))) (neg.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) 3) (pow.f64 (+.f64 3/4 (/.f64 15/8 (*.f64 x x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3/4 (/.f64 15/8 (*.f64 x x))) 3) (pow.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) 3/4 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/4 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x -5)) (/.f64 15/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (+.f64 (*.f64 x x) (log.f64 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (+.f64 (*.f64 x x) (log.f64 (pow.f64 x -5)))) 1))))))

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

587×	`associate-/r*_binary64`
536×	`times-frac_binary64`
433×	`associate-/l/_binary64`
364×	`associate-/l*_binary64`
263×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	289
1	93	289
2	197	289
3	408	253
4	1077	253

Stop Event

1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 27/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 11/16 (/.f64 1 x)) (.f64 27/16 (/.f64 1 (pow.f64 x 3))))))
(*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))

Outputs
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 27/16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 27/16 (pow.f64 x 3))))
(+.f64 (.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 11/16 (/.f64 1 x)) (.f64 27/16 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 11/16 x)) (/.f64 27/16 (pow.f64 x 3))))
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 27/16 (pow.f64 x 3)) (/.f64 11/16 x))))
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 27/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 11/16 x))))
(*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))
(.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)))
(*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))
(*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))
(*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))
(*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))
(*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))
(.f64 3/4 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)))
(*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))
(*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))
(*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))
(+.f64 (.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7)) (.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))))
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))
(*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))

prune327.0ms (5.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	22	22
Picked	0	1	1
Done	0	0	0
Total	213	23	236

Error

0.2b

Counts

236 → 23

Alt Table

Status	Error	Program
	2.2b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.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)))))
✓	1.2b	(.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 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (sqrt.f64 (/.f64 225/64 (pow.f64 x 4)))))))
	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)))))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 x (pow.f64 (exp.f64 x) x)))) 3) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
	1.5b	(.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 (cbrt.f64 (pow.f64 x -5)) (pow.f64 (cbrt.f64 (pow.f64 x -5)) 2)) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.6b	(.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)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) -1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 1/2 (pow.f64 x -2) -1)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	2.7b	(.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)))))
	1.4b	(.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)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (fma.f64 1/2 (pow.f64 x -2) 1)) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (.f64 (cbrt.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 (/.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) (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)))))
	1.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) -1) (.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (fma.f64 1/2 (pow.f64 x -2) -1))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	2.1b	(.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)))))
	1.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	2.9b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 (/.f64 1/2 x) x)) (-.f64 (.f64 x x) (log.f64 x)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 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 (log.f64 (exp.f64 (pow.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)))))
	1.9b	(.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)))))
	1.4b	(.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)))))
	2.9b	(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))))))))

Compiler

Compiled 9948 to 6047 computations (39.2% saved)

regimes899.0ms (16%)

Accuracy

Total 0.9b remaining (75.3%)

Threshold costs 0.9b (75.3%)

Counts

187 → 1

Compiler

Compiled 22097 to 15966 computations (27.7% saved)

simplify4.0ms (0.1%)

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	25	64
1	33	64

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

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

end562.0ms (10%)

Stop Event

1×

fuel

Compiler

Compiled 1004 to 716 computations (28.7% saved)

Details

analyze8.0ms (0.1%)

sample2.7s (47.7%)

preprocess30.0ms (0.5%)

simplify18.0ms (0.3%)

prune7.0ms (0.1%)

localize22.0ms (0.4%)

series28.0ms (0.5%)

rewrite47.0ms (0.8%)

simplify38.0ms (0.7%)

prune162.0ms (2.9%)

localize24.0ms (0.4%)

series72.0ms (1.3%)

rewrite30.0ms (0.5%)

simplify45.0ms (0.8%)

prune132.0ms (2.3%)

localize19.0ms (0.3%)

series17.0ms (0.3%)

rewrite65.0ms (1.2%)

simplify27.0ms (0.5%)

prune248.0ms (4.4%)

localize23.0ms (0.4%)

series8.0ms (0.1%)

rewrite55.0ms (1%)

simplify22.0ms (0.4%)

prune327.0ms (5.8%)

regimes899.0ms (16%)

simplify4.0ms (0.1%)

end562.0ms (10%)

Profiling