Details

analyze13.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample2.6s (50.6%)

Results

2.6s	8256×	body	128	valid
36.0ms	117×	body	128	invalid

Compiler

Compiled 214 to 142 computations (33.6% saved)

preprocess31.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 104 to 69 computations (33.7% saved)

simplify20.0ms (0.4%)

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

1.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	2.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
▶	1.3b	(.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

2.5b

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

▶

1.3b

(*.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)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(pow.f64 (exp.f64 x) x)
✓	1.1b	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)

series56.0ms (1.1%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
13.0ms	x	@	-inf	(*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
8.0ms	x	@	inf	(*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
7.0ms	x	@	0	(*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
6.0ms	x	@	-inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)

rewrite74.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

265×	`prod-diff_binary64`
183×	`add-sqr-sqrt_binary64`
173×	`add-log-exp_binary64`
172×	`pow1_binary64`
172×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	374	30
2	4788	30

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

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

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
644×	`times-frac_binary64`
511×	`associate-/l/_binary64`
253×	`associate-l_binary64`
238×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	466
1	73	464
2	169	394
3	486	364
4	1971	334

Stop Event

1×	node limit

Counts

118 → 99

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 1 (+.f64 (*.f64 1/2 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 4)) (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 15/8 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))))
(/.f64 3/4 (pow.f64 (fabs.f64 x) 5))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))))
(/.f64 3/4 (pow.f64 (fabs.f64 x) 5))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))) (.f64 15/8 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))))

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

prune163.0ms (3.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	85	14	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	15	101

Error

0.3b

Counts

101 → 15

Alt Table

Status	Error	Program
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))))))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.7b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.2b	(.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)) (pow.f64 (.f64 (sqrt.f64 (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5/2)) 2)))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.0b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	5.0b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.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 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))))) 1)))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
▶	1.2b	(.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)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	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 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.3b	(.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 (.f64 (+.f64 27/64 (/.f64 3375/512 (pow.f64 (.f64 x x) 3))) (pow.f64 x -5)) (+.f64 9/16 (-.f64 (pow.f64 (.f64 15/8 (pow.f64 x -2)) 2) (/.f64 45/32 (.f64 x x)))))))

Compiler

Compiled 4846 to 3005 computations (38% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3)
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)
✓	1.5b	(pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)

series54.0ms (1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	x	@	-inf	(pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)
3.0ms	x	@	0	(pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)
2.0ms	x	@	inf	(pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)
1.0ms	x	@	-inf	(pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3)
1.0ms	x	@	0	(pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3)

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

293×	`prod-diff_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`
154×	`add-sqr-sqrt_binary64`
151×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	350	31
2	3804	31

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)
(pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -5) 3/4) (*.f64 15/8 (*.f64 (pow.f64 x -2) (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 15/8 (*.f64 (pow.f64 x -2) (pow.f64 x -5))) (*.f64 (pow.f64 x -5) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x -5) 3/4) 1) (*.f64 (*.f64 15/8 (*.f64 (pow.f64 x -2) (pow.f64 x -5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4)) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x -15) (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -5) (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 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -5) 3/4 (*.f64 15/8 (*.f64 (pow.f64 x -2) (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/4 (pow.f64 x -5) (*.f64 15/8 (*.f64 (pow.f64 x -2) (pow.f64 x -5))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x -5) 3/4) (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10))) (*.f64 (*.f64 15/8 (*.f64 (pow.f64 x -2) (pow.f64 x -5))) (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)) (*.f64 (pow.f64 x -5) 3/4)) (*.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)) (*.f64 15/8 (*.f64 (pow.f64 x -2) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -15) (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) (*.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) (*.f64 (pow.f64 x -5) (*.f64 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(pow.f64 x -2) 3/4)) (pow.f64 x -5/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)) (pow.f64 x -5)) (fma.f64 15/8 (pow.f64 x -2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)) (fma.f64 15/8 (pow.f64 x -2) 3/4)) (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)) 1) (*.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 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)))) (cbrt.f64 (*.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 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)) (*.f64 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3 (log.f64 (*.f64 (pow.f64 x -5) (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 x -15) (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 3))))))))

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

847×	`associate-/r*_binary64`
513×	`associate-l_binary64`
326×	`associate-/l*_binary64`
235×	`fma-def_binary64`
179×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	451
1	199	445
2	568	445
3	1657	445

Stop Event

1×	node limit

Counts

92 → 90

Calls

Call 1

Inputs
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(/.f64 3/4 (pow.f64 x 5))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(*.f64 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(+.f64 (.f64 135/128 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))) (*.f64 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5))))
(+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 2460375/2097152 (/.f64 1 (pow.f64 (cbrt.f64 -27/64) 6))) 3375/512) (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 11)))) (+.f64 (.f64 135/128 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))) (.f64 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))))
(+.f64 (.f64 -45/64 (/.f64 (-.f64 (.f64 2460375/2097152 (/.f64 1 (pow.f64 (cbrt.f64 -27/64) 6))) 3375/512) (.f64 (pow.f64 (cbrt.f64 -27/64) 5) (pow.f64 x 13)))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 2460375/2097152 (/.f64 1 (pow.f64 (cbrt.f64 -27/64) 6))) 3375/512) (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 11)))) (+.f64 (.f64 135/128 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))) (*.f64 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5))))))
(/.f64 3375/512 (pow.f64 x 21))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (.f64 2025/256 (/.f64 1 (pow.f64 x 19))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (*.f64 2025/256 (/.f64 1 (pow.f64 x 19)))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 2025/256 (/.f64 1 (pow.f64 x 19))))))
(/.f64 27/64 (pow.f64 x 15))
(+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (.f64 405/128 (/.f64 1 (pow.f64 x 17))))
(+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (*.f64 2025/256 (/.f64 1 (pow.f64 x 19)))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 2025/256 (/.f64 1 (pow.f64 x 19))))))
(/.f64 27/64 (pow.f64 x 15))
(+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (.f64 405/128 (/.f64 1 (pow.f64 x 17))))
(+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (*.f64 2025/256 (/.f64 1 (pow.f64 x 19)))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 2025/256 (/.f64 1 (pow.f64 x 19))))))

Outputs
(/.f64 15/8 (pow.f64 x 7))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(/.f64 3/4 (pow.f64 x 5))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))
(*.f64 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(neg.f64 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(/.f64 (neg.f64 (cbrt.f64 -27/64)) (pow.f64 x 5))
(+.f64 (.f64 135/128 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))) (*.f64 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5))))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5))) (/.f64 135/128 (*.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -27/64) 2))))
(-.f64 (/.f64 135/128 (*.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -27/64) 2))) (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(-.f64 (/.f64 (/.f64 135/128 (pow.f64 (cbrt.f64 -27/64) 2)) (pow.f64 x 7)) (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 2460375/2097152 (/.f64 1 (pow.f64 (cbrt.f64 -27/64) 6))) 3375/512) (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 11)))) (+.f64 (.f64 135/128 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))) (.f64 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5))) (/.f64 135/128 (*.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -27/64) 2))))
(-.f64 (/.f64 135/128 (*.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -27/64) 2))) (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(-.f64 (/.f64 (/.f64 135/128 (pow.f64 (cbrt.f64 -27/64) 2)) (pow.f64 x 7)) (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(+.f64 (.f64 -45/64 (/.f64 (-.f64 (.f64 2460375/2097152 (/.f64 1 (pow.f64 (cbrt.f64 -27/64) 6))) 3375/512) (.f64 (pow.f64 (cbrt.f64 -27/64) 5) (pow.f64 x 13)))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 2460375/2097152 (/.f64 1 (pow.f64 (cbrt.f64 -27/64) 6))) 3375/512) (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 11)))) (+.f64 (.f64 135/128 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))) (*.f64 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5))))))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5))) (/.f64 135/128 (*.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -27/64) 2))))
(-.f64 (/.f64 135/128 (*.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -27/64) 2))) (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(-.f64 (/.f64 (/.f64 135/128 (pow.f64 (cbrt.f64 -27/64) 2)) (pow.f64 x 7)) (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(/.f64 3375/512 (pow.f64 x 21))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (.f64 2025/256 (/.f64 1 (pow.f64 x 19))))
(+.f64 (/.f64 3375/512 (pow.f64 x 21)) (/.f64 2025/256 (pow.f64 x 19)))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (*.f64 2025/256 (/.f64 1 (pow.f64 x 19)))))
(+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 405/128 (pow.f64 x 17))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 2025/256 (/.f64 1 (pow.f64 x 19))))))
(+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 405/128 (pow.f64 x 17))) (/.f64 27/64 (pow.f64 x 15))))
(+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15)))))
(+.f64 (/.f64 27/64 (pow.f64 x 15)) (+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 405/128 (pow.f64 x 17)))))
(/.f64 27/64 (pow.f64 x 15))
(+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (.f64 405/128 (/.f64 1 (pow.f64 x 17))))
(+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15)))
(+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (*.f64 2025/256 (/.f64 1 (pow.f64 x 19)))))
(+.f64 (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 405/128 (pow.f64 x 17))) (/.f64 27/64 (pow.f64 x 15)))
(+.f64 (/.f64 2025/256 (pow.f64 x 19)) (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15))))
(+.f64 (/.f64 405/128 (pow.f64 x 17)) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 27/64 (pow.f64 x 15))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 2025/256 (/.f64 1 (pow.f64 x 19))))))
(+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 405/128 (pow.f64 x 17))) (/.f64 27/64 (pow.f64 x 15))))
(+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15)))))
(+.f64 (/.f64 27/64 (pow.f64 x 15)) (+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 405/128 (pow.f64 x 17)))))
(/.f64 27/64 (pow.f64 x 15))
(+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (.f64 405/128 (/.f64 1 (pow.f64 x 17))))
(+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15)))
(+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (*.f64 2025/256 (/.f64 1 (pow.f64 x 19)))))
(+.f64 (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 405/128 (pow.f64 x 17))) (/.f64 27/64 (pow.f64 x 15)))
(+.f64 (/.f64 2025/256 (pow.f64 x 19)) (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15))))
(+.f64 (/.f64 405/128 (pow.f64 x 17)) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 27/64 (pow.f64 x 15))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 27/64 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 2025/256 (/.f64 1 (pow.f64 x 19))))))
(+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 405/128 (pow.f64 x 17))) (/.f64 27/64 (pow.f64 x 15))))
(+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15)))))
(+.f64 (/.f64 27/64 (pow.f64 x 15)) (+.f64 (/.f64 3375/512 (pow.f64 x 21)) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.f64 405/128 (pow.f64 x 17)))))

prune214.0ms (4.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	133	6	139
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	139	15	154

Error

0.2b

Counts

154 → 15

Alt Table

Status	Error	Program
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
▶	1.2b	(.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 x -5/2) (.f64 (pow.f64 x -5/2) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.7b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.3b	(.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 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))) 1)))
	2.4b	(.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	2.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	4.9b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.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)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.0b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.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)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))))

Compiler

Compiled 6681 to 4355 computations (34.8% saved)

localize35.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (pow.f64 x -5/2) (.f64 (pow.f64 x -5/2) (fma.f64 15/8 (pow.f64 x -2) 3/4)))
✓	0.4b	(*.f64 (pow.f64 x -5/2) (fma.f64 15/8 (pow.f64 x -2) 3/4))
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

series14.0ms (0.3%)

Counts

2 → 8

Calls

6 calls:

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

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

463×	`log-prod_binary64`
275×	`pow2_binary64`
192×	`expm1-udef_binary64`
192×	`log1p-udef_binary64`
190×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	236	28
2	2576	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify24.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

724×	`unswap-sqr_binary64`
496×	`associate-/l/_binary64`
492×	`associate-/r*_binary64`
354×	`times-frac_binary64`
303×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	33	110
2	56	110
3	98	110
4	233	110
5	796	110
6	3733	110

Stop Event

1×	node limit

Counts

58 → 54

Calls

Call 1

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

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

prune158.0ms (3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	103	15	118

Error

0.2b

Counts

118 → 15

Alt Table

Status	Error	Program
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
▶	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.0b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.6b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 x -5/2) (*.f64 (pow.f64 x -5/2) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))
	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 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)))) 1)))
	2.4b	(.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	2.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	4.9b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.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)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.8b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) (pow.f64 x -5))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) (pow.f64 x -5))))))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.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)) (log.f64 (exp.f64 (*.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) (pow.f64 x -5))))))

Compiler

Compiled 4981 to 3166 computations (36.4% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	0.4b	(*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
	1.0b	(pow.f64 (exp.f64 x) x)
	1.1b	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)

series50.0ms (1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

20.0ms

-inf

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

20.0ms

inf

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

10.0ms

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

rewrite31.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	53
1	647	53

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

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

Outputs

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

707×	`distribute-rgt-in_binary64`
679×	`distribute-lft-in_binary64`
297×	`fma-def_binary64`
264×	`times-frac_binary64`
142×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	882
1	174	839
2	575	676
3	2310	619

Stop Event

1×	node limit

Counts

21 → 21

Calls

Call 1

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

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

prune137.0ms (2.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	93	19	112

Error

0.1b

Counts

112 → 19

Alt Table

Status	Error	Program
	7.7b	(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (.f64 x x)))))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (.f64 x x))))))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.8b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.8b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) (pow.f64 x -5))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) (pow.f64 x -5))))))))
	1.7b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 3/4 (pow.f64 x 5))) (/.f64 (+.f64 (/.f64 15/8 (pow.f64 x 5)) (/.f64 1/2 x)) (*.f64 x x)))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
	2.0b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.6b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 x -5/2) (*.f64 (pow.f64 x -5/2) (fma.f64 15/8 (pow.f64 x -2) 3/4)))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.4b	(.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	2.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	4.9b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.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)) (pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	1.9b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.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)) (log.f64 (exp.f64 (*.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) (pow.f64 x -5))))))
	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 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.1b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log1p.f64 (expm1.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2))))))))

Compiler

Compiled 4869 to 3269 computations (32.9% saved)

regimes632.0ms (12.1%)

Accuracy

Total 0.9b remaining (76.8%)

Threshold costs 0.9b (76.8%)

Counts

215 → 1

Compiler

Compiled 7923 to 4653 computations (41.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	55
1	38	55

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -5) (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2))))))))

Outputs

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -5) (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2))))))))

end555.0ms (10.6%)

Stop Event

1×

fuel

Compiler

Compiled 941 to 695 computations (26.1% saved)

Details

analyze13.0ms (0.3%)

sample2.6s (50.6%)

preprocess31.0ms (0.6%)

simplify20.0ms (0.4%)

prune8.0ms (0.1%)

localize24.0ms (0.5%)

series56.0ms (1.1%)

rewrite74.0ms (1.4%)

simplify40.0ms (0.8%)

prune163.0ms (3.1%)

localize24.0ms (0.5%)

series54.0ms (1%)

rewrite51.0ms (1%)

simplify33.0ms (0.6%)

prune214.0ms (4.1%)

localize35.0ms (0.7%)

series14.0ms (0.3%)

rewrite72.0ms (1.4%)

simplify24.0ms (0.5%)

prune158.0ms (3%)

localize25.0ms (0.5%)

series50.0ms (1%)

rewrite31.0ms (0.6%)

simplify43.0ms (0.8%)

prune137.0ms (2.6%)

regimes632.0ms (12.1%)

simplify2.0ms (0%)

end555.0ms (10.6%)

Profiling