Details

analyze16.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample3.0s (61.5%)

Results

2.9s	8256×	body	128	valid
102.0ms	301×	body	128	invalid

preprocess27.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 104 to 69 computations (33.7% saved)

simplify19.0ms (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)))))

prune7.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
▶	1.3b	(.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

2.8b

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

▶

1.3b

(*.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)

localize21.0ms (0.4%)

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)

series15.0ms (0.3%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
3.0ms	x	@	inf	(*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
2.0ms	x	@	inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)
2.0ms	x	@	0	(*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
2.0ms	x	@	0	(pow.f64 (exp.f64 x) x)

rewrite62.0ms (1.3%)

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))))))))

simplify29.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-def_binary64`
644×	`times-frac_binary64`
513×	`associate-/l/_binary64`
252×	`associate-l_binary64`
238×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	470
1	71	464
2	169	394
3	491	364
4	1952	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 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(/.f64 15/8 (*.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))
(+.f64 (.f64 15/8 (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))))
(+.f64 (.f64 15/8 (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))))
(+.f64 (.f64 15/8 (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))))
(/.f64 3/4 (pow.f64 (fabs.f64 x) 5))
(+.f64 (.f64 15/8 (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))))
(+.f64 (.f64 15/8 (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))))
(+.f64 (.f64 15/8 (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))))
(/.f64 3/4 (pow.f64 (fabs.f64 x) 5))
(+.f64 (.f64 15/8 (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))))
(+.f64 (.f64 15/8 (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))))
(+.f64 (.f64 15/8 (/.f64 1 (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2)))) (*.f64 3/4 (/.f64 1 (pow.f64 (fabs.f64 x) 5))))

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

prune186.0ms (3.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	86	13	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	87	14	101

Error

0.3b

Counts

101 → 14

Alt Table

Status	Error	Program
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	10.5b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
	7.5b	(.f64 (/.f64 (sqrt.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)))))
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	2.1b	(.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) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.0b	(.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)))))
	1.7b	(.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 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	7.7b	(.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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))))) 1)))

Compiler

Compiled 4756 to 2935 computations (38.3% saved)

localize25.0ms (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)
✓	1.7b	(pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)

series9.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow.f64 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)
2.0ms	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	@	0	(pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3)
0.0ms	x	@	inf	(pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3)

rewrite54.0ms (1.1%)

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 (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 (pow.f64 x -5) (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 (*.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 1 (*.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 *.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10)) (*.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 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -5) (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 (*.f64 (sqrt.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4)) (pow.f64 x -5/2)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4)) (pow.f64 x -5/2)) (*.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 (pow.f64 x -15) (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 3) (pow.f64 x -15))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 3/2) (pow.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 2) (pow.f64 x -10))) 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 (*.f64 (sqrt.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4)) (pow.f64 x -5/2)) 3) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 15/8 (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 (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 sqrt.f64 (pow.f64 (*.f64 (pow.f64 x -5) (fma.f64 15/8 (pow.f64 x -2) 3/4)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -15) (pow.f64 (fma.f64 15/8 (pow.f64 x -2) 3/4) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 3 (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 (*.f64 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))))))))

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

850×	`associate-/r*_binary64`
327×	`associate-/l*_binary64`
298×	`fma-def_binary64`
179×	`associate-*r/_binary64`
172×	`associate-*l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	448
1	216	445
2	600	445
3	1747	445

Stop Event

1×	node limit

Counts

92 → 91

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 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5))) (.f64 135/128 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))))
(+.f64 (.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 135/128 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7))))))
(+.f64 (.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 135/128 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))))))
(/.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 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (*.f64 2025/256 (/.f64 1 (pow.f64 x 19)))))
(+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))))
(/.f64 27/64 (pow.f64 x 15))
(+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))
(+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (*.f64 27/64 (/.f64 1 (pow.f64 x 15)))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))))
(/.f64 27/64 (pow.f64 x 15))
(+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))
(+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (*.f64 27/64 (/.f64 1 (pow.f64 x 15)))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))))

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 -1 (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5))) (.f64 135/128 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))))
(fma.f64 -1 (/.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 x 7)) (pow.f64 (cbrt.f64 -27/64) 2)) (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(+.f64 (.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 135/128 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7))))))
(fma.f64 -1 (/.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 x 7)) (pow.f64 (cbrt.f64 -27/64) 2)) (/.f64 (cbrt.f64 -27/64) (pow.f64 x 5)))
(+.f64 (.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 135/128 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -27/64) 2) (pow.f64 x 7)))))))
(fma.f64 -1 (/.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 x 7)) (pow.f64 (cbrt.f64 -27/64) 2)) (/.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 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (*.f64 2025/256 (/.f64 1 (pow.f64 x 19)))))
(+.f64 (+.f64 (/.f64 3375/512 (pow.f64 x 21)) (/.f64 2025/256 (pow.f64 x 19))) (/.f64 405/128 (pow.f64 x 17)))
(+.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 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))))
(+.f64 (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 3375/512 (pow.f64 x 21))) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.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 2025/256 (pow.f64 x 19)) (+.f64 (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15))) (/.f64 3375/512 (pow.f64 x 21))))
(/.f64 27/64 (pow.f64 x 15))
(+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))
(+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15)))
(+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (*.f64 27/64 (/.f64 1 (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 2025/256 (pow.f64 x 19)) (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))))
(+.f64 (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 3375/512 (pow.f64 x 21))) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.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 2025/256 (pow.f64 x 19)) (+.f64 (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15))) (/.f64 3375/512 (pow.f64 x 21))))
(/.f64 27/64 (pow.f64 x 15))
(+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))
(+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15)))
(+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (*.f64 27/64 (/.f64 1 (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 2025/256 (pow.f64 x 19)) (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15))))
(+.f64 (.f64 3375/512 (/.f64 1 (pow.f64 x 21))) (+.f64 (.f64 405/128 (/.f64 1 (pow.f64 x 17))) (+.f64 (.f64 2025/256 (/.f64 1 (pow.f64 x 19))) (.f64 27/64 (/.f64 1 (pow.f64 x 15))))))
(+.f64 (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 3375/512 (pow.f64 x 21))) (+.f64 (/.f64 2025/256 (pow.f64 x 19)) (/.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 2025/256 (pow.f64 x 19)) (+.f64 (+.f64 (/.f64 405/128 (pow.f64 x 17)) (/.f64 27/64 (pow.f64 x 15))) (/.f64 3375/512 (pow.f64 x 21))))

prune226.0ms (4.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	140	14	154

Error

0.3b

Counts

154 → 14

Alt Table

Status	Error	Program
▶	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	10.5b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
	7.5b	(.f64 (/.f64 (sqrt.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)))))
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	2.1b	(.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) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.0b	(.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)))))
	1.7b	(.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 (pow.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))) 3) 1/3)))
	7.7b	(.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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))))) 1)))

Compiler

Compiled 6630 to 4301 computations (35.1% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

1.0ms

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

0.0ms

-inf

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

rewrite43.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`
99×	`add-log-exp_binary64`
99×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	216	12
2	2479	12

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

443×	`distribute-rgt-out_binary64`
386×	`*-commutative_binary64`
370×	`fma-def_binary64`
324×	`associate-l_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	237
1	61	217
2	147	201
3	473	192
4	1836	192
5	3753	192
6	4258	192

Stop Event

1×	node limit

Counts

45 → 42

Calls

Call 1

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

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

prune195.0ms (4%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	106	12	118
Fresh	4	8	12
Picked	0	1	1
Done	0	1	1
Total	110	22	132

Error

0.2b

Counts

132 → 22

Alt Table

Status	Error	Program
	11.6b	(.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) 3) 1/3) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
✓	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))))) 1)))
	1.6b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (+.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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
	1.5b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
▶	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.7b	(.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)))))
	2.7b	(.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.1b	(.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)))))
	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) 1/4))) (+.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)) (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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
✓	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)))
	10.5b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))))) 1)))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))

Compiler

Compiled 6226 to 4091 computations (34.3% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(expm1.f64 (pow.f64 x -5))
✓	0.4b	(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
	1.0b	(pow.f64 (exp.f64 x) x)
✓	8.8b	(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))

series236.0ms (4.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
98.0ms	x	@	inf	(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))
54.0ms	x	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))
45.0ms	x	@	inf	(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
36.0ms	x	@	0	(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))
1.0ms	x	@	-inf	(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

403×	`prod-diff_binary64`
245×	`log1p-udef_binary64`
145×	`add-sqr-sqrt_binary64`
138×	`add-log-exp_binary64`
138×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	318	26
2	3926	26

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
(expm1.f64 (pow.f64 x -5))

Outputs

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

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

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-def_binary64`
552×	`associate-/l/_binary64`
541×	`associate-l_binary64`
337×	`associate-r_binary64`
290×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	437
1	97	437
2	186	437
3	396	437
4	1225	437
5	4300	437

Stop Event

1×	node limit

Counts

113 → 89

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (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 (/.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 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 (exp.f64 (pow.f64 x -5)) 1)
(-.f64 (exp.f64 (pow.f64 x -5)) 1)
(-.f64 (exp.f64 (pow.f64 x -5)) 1)
(-.f64 (exp.f64 (pow.f64 x -5)) 1)
(/.f64 1 (pow.f64 x 5))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 10))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 15))) (.f64 1/2 (/.f64 1 (pow.f64 x 10)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 10))) (*.f64 1/24 (/.f64 1 (pow.f64 x 20))))))
(/.f64 1 (pow.f64 x 5))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 10))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 15))) (.f64 1/2 (/.f64 1 (pow.f64 x 10)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 10))) (*.f64 1/24 (/.f64 1 (pow.f64 x 20))))))

Outputs
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (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 (.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 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 (exp.f64 (pow.f64 x -5)) 1)
(expm1.f64 (pow.f64 x -5))
(-.f64 (exp.f64 (pow.f64 x -5)) 1)
(expm1.f64 (pow.f64 x -5))
(-.f64 (exp.f64 (pow.f64 x -5)) 1)
(expm1.f64 (pow.f64 x -5))
(-.f64 (exp.f64 (pow.f64 x -5)) 1)
(expm1.f64 (pow.f64 x -5))
(/.f64 1 (pow.f64 x 5))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 10))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 10)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 15))) (.f64 1/2 (/.f64 1 (pow.f64 x 10)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 10)) (/.f64 1/6 (pow.f64 x 15))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 10))) (*.f64 1/24 (/.f64 1 (pow.f64 x 20))))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/6 (pow.f64 x 15)) (+.f64 (/.f64 1/2 (pow.f64 x 10)) (/.f64 1/24 (pow.f64 x 20)))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 10)) (/.f64 1/6 (pow.f64 x 15))) (+.f64 (/.f64 1/24 (pow.f64 x 20)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/2 (pow.f64 x 10)) (+.f64 (/.f64 1/24 (pow.f64 x 20)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/6 (pow.f64 x 15)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 10)) (+.f64 (/.f64 1/6 (pow.f64 x 15)) (/.f64 1/24 (pow.f64 x 20)))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 10)) (/.f64 1/6 (pow.f64 x 15))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/24 (pow.f64 x 20))))
(/.f64 1 (pow.f64 x 5))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 10))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 10)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 15))) (.f64 1/2 (/.f64 1 (pow.f64 x 10)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 10)) (/.f64 1/6 (pow.f64 x 15))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 15))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 10))) (*.f64 1/24 (/.f64 1 (pow.f64 x 20))))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/6 (pow.f64 x 15)) (+.f64 (/.f64 1/2 (pow.f64 x 10)) (/.f64 1/24 (pow.f64 x 20)))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 10)) (/.f64 1/6 (pow.f64 x 15))) (+.f64 (/.f64 1/24 (pow.f64 x 20)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/2 (pow.f64 x 10)) (+.f64 (/.f64 1/24 (pow.f64 x 20)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/6 (pow.f64 x 15)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 10)) (+.f64 (/.f64 1/6 (pow.f64 x 15)) (/.f64 1/24 (pow.f64 x 20)))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 10)) (/.f64 1/6 (pow.f64 x 15))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/24 (pow.f64 x 20))))

prune226.0ms (4.6%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	109	6	115
Fresh	2	17	19
Picked	0	1	1
Done	2	0	2
Total	113	24	137

Error

0.1b

Counts

137 → 24

Alt Table

Status	Error	Program
	11.6b	(.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) 3) 1/3) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.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 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))))) 1)))
	1.6b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (+.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)))))
	10.5b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.7b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) 1/4))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.7b	(.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.7b	(.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)))))
✓	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.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)))))
	12.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (pow.f64 x -5)) 2))) (log.f64 (-.f64 1 (expm1.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.7b	(.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.1b	(.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 (.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 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))))) 1)))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.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)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
	2.6b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	10.5b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.7b	(.f64 (/.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 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5)))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) 3) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))

Compiler

Compiled 5654 to 3810 computations (32.6% saved)

regimes262.0ms (5.3%)

Accuracy

Total -49.6b remaining (-4250.9%)

Threshold costs -49.6b (-4250.9%)

Counts

94 → 1

Calls

Call 1

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

Results

47.0ms	1.2b	`x`
74.0ms	1.2b	(.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))))))
52.0ms	1.2b	`(fabs.f64 x)`

Compiler

Compiled 3556 to 2066 computations (41.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	54
1	35	54

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

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

end29.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 72 to 56 computations (22.2% saved)

Details

analyze16.0ms (0.3%)

sample3.0s (61.5%)

preprocess27.0ms (0.5%)

simplify19.0ms (0.4%)

prune7.0ms (0.1%)

localize21.0ms (0.4%)

series15.0ms (0.3%)

rewrite62.0ms (1.3%)

simplify29.0ms (0.6%)

prune186.0ms (3.8%)

localize25.0ms (0.5%)

series9.0ms (0.2%)

rewrite54.0ms (1.1%)

simplify27.0ms (0.5%)

prune226.0ms (4.6%)

localize24.0ms (0.5%)

series5.0ms (0.1%)

rewrite43.0ms (0.9%)

simplify40.0ms (0.8%)

prune195.0ms (4%)

localize28.0ms (0.6%)

series236.0ms (4.8%)

rewrite54.0ms (1.1%)

simplify38.0ms (0.8%)

prune226.0ms (4.6%)

regimes262.0ms (5.3%)

simplify2.0ms (0%)

end29.0ms (0.6%)

Profiling