Details

analyze16.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	12.5%	87.5%	3
0%	6.3%	93.7%	4
0%	3.1%	96.9%	5
0%	1.6%	98.4%	6
0%	0.8%	99.2%	7
0%	0.4%	99.6%	8
0.1%	0.2%	99.7%	9
0.1%	0.1%	99.8%	10
0.1%	0%	99.8%	11
0.1%	0%	99.8%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample2.6s (47%)

Results

2.5s	8256×	body	128	valid
95.0ms	321×	body	128	invalid

Compiler

Compiled 214 to 142 computations (33.6% saved)

preprocess28.0ms (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)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

prune8.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	2.7b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
▶	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))

Status

Error

Program

2.7b

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

▶

1.3b

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

Compiler

Compiled 413 to 278 computations (32.7% saved)

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

series87.0ms (1.5%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	x	@	-inf	(.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)))))
28.0ms	x	@	inf	(.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)))))
11.0ms	x	@	0	(.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)))))
7.0ms	x	@	-inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
6.0ms	x	@	inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)

rewrite33.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

289×	`add-sqr-sqrt_binary64`
275×	`pow1_binary64`
274×	`*-un-lft-identity_binary64`
272×	`add-log-exp_binary64`
270×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	71
1	578	71

Stop Event

1×	node limit

Counts

4 → 37

Calls

Call 1

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

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

598×	`fma-def_binary64`
355×	`associate-/l/_binary64`
340×	`associate-+l+_binary64`
325×	`associate-+r+_binary64`
221×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1346
1	286	1234
2	952	956
3	4474	833

Stop Event

1×	node limit

Counts

73 → 61

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

prune85.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	48	13	61
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	50	13	63

Error

0.4b

Counts

63 → 13

Alt Table

Status	Error	Program
	2.6b	(expm1.f64 (log1p.f64 (.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 15/8 (.f64 x x))))))))
	1.6b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.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)))))
	1.3b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))))) (sqrt.f64 (PI.f64)))
▶	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))))))
	1.3b	(+.f64 (.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))
	2.6b	(+.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))))))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.6b	(.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (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)))))
	1.3b	(.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.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)))))
	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 (/.f64 1 (fabs.f64 x)) 5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	9.1b	(cbrt.f64 (.f64 (.f64 (.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 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 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 15/8 (.f64 x x))))))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))

Compiler

Compiled 3675 to 2299 computations (37.4% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))
✓	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))
✓	0.4b	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
	1.1b	(pow.f64 (exp.f64 x) x)

series35.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))
4.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))
4.0ms	x	@	-inf	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
3.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))
3.0ms	x	@	-inf	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))

rewrite37.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

216×	`add-sqr-sqrt_binary64`
205×	`add-log-exp_binary64`
203×	`add-exp-log_binary64`
203×	`pow1_binary64`
203×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	57
1	437	53

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs
(.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 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))

Inputs

(*.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 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))

Outputs
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Outputs

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

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

simplify35.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

703×	`associate-l_binary64`
687×	`associate-*l/_binary64`
626×	`fma-def_binary64`
460×	`associate-*r/_binary64`
281×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	685
1	163	681
2	366	661
3	831	625
4	2300	625

Stop Event

1×	node limit

Counts

126 → 121

Calls

Call 1

Inputs
(/.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 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))))
(/.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))

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

prune222.0ms (3.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	146	11	157
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	149	21	170

Error

0.3b

Counts

170 → 21

Alt Table

Status	Error	Program
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (expm1.f64 (log1p.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 1/8 (pow.f64 (pow.f64 x -2) 3)) 1) (.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.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))))))
	2.6b	(expm1.f64 (log1p.f64 (.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 15/8 (.f64 x x))))))))
	1.6b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.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)))))
▶	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)) (pow.f64 (.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))) 2) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.3b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))))) (sqrt.f64 (PI.f64)))
	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 (pow.f64 (exp.f64 x) 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) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.6b	(.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (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))))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.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)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (pow.f64 (exp.f64 x) (/.f64 x 2))) 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 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1) (pow.f64 (exp.f64 x) x)) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 x -2)) 1))) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	2.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (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))))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))) 1) (.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) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	9.1b	(cbrt.f64 (.f64 (.f64 (.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 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 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 15/8 (.f64 x x))))))))
	2.6b	(+.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))))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.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)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))

Compiler

Compiled 8515 to 5162 computations (39.4% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5))
✓	0.4b	(.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4))
	0.4b	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
	1.1b	(pow.f64 (exp.f64 x) x)

series14.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`log-prod_binary64`
226×	`expm1-udef_binary64`
226×	`log1p-udef_binary64`
200×	`log-pow_binary64`
132×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	276	34
2	3081	34

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4))
(*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 15/8 (pow.f64 x -2)) (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5))) (*.f64 3/4 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (*.f64 15/8 (pow.f64 x -2))) (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -5)) (pow.f64 (exp.f64 x) x)) (fma.f64 15/8 (pow.f64 x -2) 3/4))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -5)) (pow.f64 (exp.f64 x) x)) (fma.f64 15/8 (pow.f64 x -2) 3/4))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -5)) (pow.f64 (exp.f64 x) x)) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -5)) (pow.f64 (exp.f64 x) x)) (fma.f64 15/8 (pow.f64 x -2) 3/4)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -5)) (pow.f64 (exp.f64 x) x)) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -5)) (pow.f64 (exp.f64 x) x)) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) 3) (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (*.f64 15/8 (pow.f64 x -2)) (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 15/8 (pow.f64 x -2)) (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (*.f64 3/4 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 x x (fma.f64 -5 (log.f64 x) (log.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 x x (fma.f64 -5 (log.f64 x) (log.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))))))

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

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

601×	`associate-/r*_binary64`
538×	`times-frac_binary64`
435×	`associate-/l/_binary64`
366×	`associate-/l*_binary64`
273×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	458
1	119	456
2	249	456
3	508	420
4	1225	420

Stop Event

1×	node limit

Counts

64 → 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))))
(/.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))

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

prune202.0ms (3.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	7	13	20
Picked	1	0	1
Done	0	0	0
Total	137	19	156

Error

0.3b

Counts

156 → 19

Alt Table

Status	Error	Program
	2.6b	(expm1.f64 (log1p.f64 (.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 15/8 (.f64 x x))))))))
	1.6b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.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)))))
	9.1b	(cbrt.f64 (.f64 (.f64 (.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 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 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 15/8 (.f64 x x))))))))
	2.5b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) x)) (pow.f64 (.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (expm1.f64 (log1p.f64 (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))) (pow.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))) 2) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.3b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))))) (sqrt.f64 (PI.f64)))
	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 (pow.f64 (exp.f64 x) x) x))) 3) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x)) (pow.f64 (.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
▶	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1) (pow.f64 (exp.f64 x) x)) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 x -2)) 1))) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.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))) (pow.f64 (.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) x)) (pow.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1) (.f64 (/.f64 x (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.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))))))
	9.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x))) x)) (pow.f64 (.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
	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 (/.f64 1 (fabs.f64 x)) 5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.6b	(+.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))))))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))

Compiler

Compiled 7423 to 4791 computations (35.5% saved)

localize34.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))
✓	0.5b	(.f64 (+.f64 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1) (pow.f64 (exp.f64 x) x))
✓	0.7b	(pow.f64 (pow.f64 x -2) 3)
	1.1b	(pow.f64 (exp.f64 x) x)

series9.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`log-prod_binary64`
236×	`prod-diff_binary64`
214×	`log1p-udef_binary64`
213×	`expm1-udef_binary64`
204×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	281	20
2	3135	19

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(pow.f64 (pow.f64 x -2) 3)
(.f64 (+.f64 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1) (pow.f64 (exp.f64 x) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x -6))) (cbrt.f64 (exp.f64 (pow.f64 x -6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -6) (pow.f64 (cbrt.f64 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -6) (pow.f64 (sqrt.f64 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -4)) 3) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -4) 1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -4) (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -4) (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -6 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -6 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))) (exp.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)) (exp.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8)))))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8)))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x -6) 3) 1/512 1) (exp.f64 (*.f64 x x))) (-.f64 (fma.f64 (pow.f64 x -12) 1/64 1) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x -12) 1/64 -1) (exp.f64 (*.f64 x x))) (fma.f64 (pow.f64 x -6) 1/8 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 x x)) (fma.f64 (pow.f64 (pow.f64 x -6) 3) 1/512 1)) (-.f64 (fma.f64 (pow.f64 x -12) 1/64 1) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 x x)) (fma.f64 (pow.f64 x -12) 1/64 -1)) (fma.f64 (pow.f64 x -6) 1/8 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x -6) 1/8 1) 3) (pow.f64 (exp.f64 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3) (pow.f64 (fma.f64 (pow.f64 x -6) 1/8 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x)) (exp.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 x x)) 1 (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 x x)) 1 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) 2) (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) 2) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) 2) (cbrt.f64 (exp.f64 (*.f64 x x))) (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) 2) (cbrt.f64 (exp.f64 (*.f64 x x))) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (*.f64 x x))) (sqrt.f64 (exp.f64 (*.f64 x x))) (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (*.f64 x x))) (sqrt.f64 (exp.f64 (*.f64 x x))) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 x) (exp.f64 (*.f64 x x)) (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 x) (exp.f64 (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x) (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x) (*.f64 (*.f64 (pow.f64 x -6) 1/8) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x -6) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 (pow.f64 x -6) 1/8))))))))))

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

623×	`associate-l_binary64`
559×	`associate-*l/_binary64`
449×	`associate-r_binary64`
350×	`associate-*r/_binary64`
294×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	298
1	68	298
2	147	298
3	342	280
4	1381	280

Stop Event

1×	node limit

Counts

95 → 83

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1/8 (pow.f64 x 6))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 6))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 49/48 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 6))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))))
(exp.f64 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(exp.f64 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))

Outputs
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1 (pow.f64 x 6))
(/.f64 1/8 (pow.f64 x 6))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1/8 (pow.f64 x 4)) (/.f64 1/8 (pow.f64 x 6)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 6))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (/.f64 1/8 (pow.f64 x 6)) (/.f64 1/16 (*.f64 x x))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 49/48 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 6))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 4)) 49/48) (+.f64 (/.f64 1/8 (pow.f64 x 6)) (/.f64 1/16 (*.f64 x x))))
(+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (/.f64 1/8 (pow.f64 x 6)) (+.f64 (/.f64 1/16 (*.f64 x x)) 49/48)))
(+.f64 (/.f64 1/8 (pow.f64 x 6)) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (/.f64 1/16 (*.f64 x x)) 49/48)))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(fma.f64 1/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (exp.f64 (.f64 x x)))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (exp.f64 (.f64 x x)))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (pow.f64 (exp.f64 x) x))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(fma.f64 1/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (exp.f64 (.f64 x x)))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (exp.f64 (.f64 x x)))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (pow.f64 (exp.f64 x) x))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(fma.f64 1/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (exp.f64 (.f64 x x)))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (exp.f64 (.f64 x x)))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (pow.f64 (exp.f64 x) x))
(exp.f64 (pow.f64 x 2))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(fma.f64 1/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (exp.f64 (.f64 x x)))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (exp.f64 (.f64 x x)))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (pow.f64 (exp.f64 x) x))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(fma.f64 1/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (exp.f64 (.f64 x x)))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (exp.f64 (.f64 x x)))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (pow.f64 (exp.f64 x) x))
(+.f64 (*.f64 1/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 6))) (exp.f64 (pow.f64 x 2)))
(fma.f64 1/8 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 6)) (exp.f64 (.f64 x x)))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (exp.f64 (.f64 x x)))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 6)) 1) (pow.f64 (exp.f64 x) x))

prune341.0ms (6.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	159	6	165
Fresh	4	14	18
Picked	0	1	1
Done	0	0	0
Total	163	21	184

Error

0.3b

Counts

184 → 21

Alt Table

Status	Error	Program
	2.8b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 (pow.f64 x -6) 1/8)))))) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 x -2)) 1))) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
	9.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x))) x)) (pow.f64 (.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
	2.6b	(expm1.f64 (log1p.f64 (.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 15/8 (.f64 x x))))))))
	1.6b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.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)))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x) (.f64 (.f64 (pow.f64 x -6) 1/8) (exp.f64 (.f64 x x)))) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 x -2)) 1))) 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) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (expm1.f64 (log1p.f64 (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))) (pow.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))) 2) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.3b	(/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))))) (sqrt.f64 (PI.f64)))
	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 (pow.f64 (exp.f64 x) x) x))) 3) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	1.4b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x)) (pow.f64 (.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
✓	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1) (pow.f64 (exp.f64 x) x)) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 x -2)) 1))) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	10.3b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x (log1p.f64 (.f64 (pow.f64 x -6) 1/8)))) 3) 1/3) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 x -2)) 1))) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1) (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 x -2)) 1))) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))
	2.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 1/2 (.f64 x x)) 1) (/.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) x)) (pow.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1) (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 x -2)) 1))) 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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (fma.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x) (.f64 (.f64 (pow.f64 x -6) 1/8) (exp.f64 (.f64 x x)))) (.f64 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 x -2)) 1))) x)) (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))
	2.6b	(+.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))))))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))

Compiler

Compiled 10749 to 7497 computations (30.3% saved)

regimes903.0ms (16%)

Accuracy

Total 0.9b remaining (68.5%)

Threshold costs 0.9b (68.5%)

Counts

168 → 1

Compiler

Compiled 22841 to 16548 computations (27.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	52
1	32	52

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

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

end622.0ms (11%)

Stop Event

1×

fuel

Compiler

Compiled 1087 to 769 computations (29.3% saved)

Details

analyze16.0ms (0.3%)

sample2.6s (47%)

preprocess28.0ms (0.5%)

simplify17.0ms (0.3%)

prune8.0ms (0.1%)

localize23.0ms (0.4%)

series87.0ms (1.5%)

rewrite33.0ms (0.6%)

simplify44.0ms (0.8%)

prune85.0ms (1.5%)

localize22.0ms (0.4%)

series35.0ms (0.6%)

rewrite37.0ms (0.7%)

simplify35.0ms (0.6%)

prune222.0ms (3.9%)

localize23.0ms (0.4%)

series14.0ms (0.2%)

rewrite48.0ms (0.9%)

simplify26.0ms (0.5%)

prune202.0ms (3.6%)

localize34.0ms (0.6%)

series9.0ms (0.2%)

rewrite46.0ms (0.8%)

simplify25.0ms (0.4%)

prune341.0ms (6.1%)

regimes903.0ms (16%)

simplify2.0ms (0%)

end622.0ms (11%)

Profiling