Details

analyze17.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample2.8s (68.1%)

Results

2.7s	8256×	body	128	valid
86.0ms	281×	body	128	invalid

preprocess30.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

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

Compiler

Compiled 104 to 69 computations (33.7% saved)

simplify20.0ms (0.5%)

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)))))

eval2.0ms (0%)

Compiler: Compiled 137 to 90 computations (34.3% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.6b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Status

Error

Program

▶

1.2b

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

2.6b

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

Compiler

Compiled 276 to 188 computations (31.9% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series15.0ms (0.4%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))
2.0ms	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	(pow.f64 (exp.f64 x) x)
2.0ms	x	@	0	(pow.f64 (/.f64 1 (fabs.f64 x)) 5)

rewrite63.0ms (1.5%)

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	4787	30

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

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

simplify34.0ms (0.8%)

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)))

eval61.0ms (1.5%)

Compiler: Compiled 3580 to 2072 computations (42.1% saved)

prune45.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	87	12	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	87	14	101

Error

0.3b

Counts

101 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
✓	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.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) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.7b	(.f64 (/.f64 (.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)))))
	2.0b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
▶	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.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) (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)))
	6.2b	(.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)))))
	2.6b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
	2.5b	(.f64 (/.f64 (exp.f64 (.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 1128 to 819 computations (27.4% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.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)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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))

rewrite40.0ms (1%)

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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))))

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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))))))))

simplify40.0ms (1%)

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))

eval86.0ms (2.1%)

Compiler: Compiled 4608 to 2876 computations (37.6% saved)

prune67.0ms (1.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	103	15	118
Fresh	5	7	12
Picked	1	0	1
Done	1	0	1
Total	110	22	132

Error

0.2b

Counts

132 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.8b	(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.2b	(.f64 (.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.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)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.3b	(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.0b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
▶	1.1b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
	1.9b	(.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)))))
	8.5b	(.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 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.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)))
	1.5b	(.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 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x -5) (+.f64 3/4 (.f64 15/8 (pow.f64 x -2)))))))))
	1.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.6b	(.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)))))
	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)))
	9.6b	(.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)))))
	1.6b	(.f64 (.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)))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
	1.5b	(.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.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)))))

Compiler

Compiled 1726 to 1282 computations (25.7% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x))
✓	0.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
	0.3b	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2))
	1.0b	(pow.f64 (exp.f64 x) x)

series8.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
1.0ms	x	@	inf	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
1.0ms	x	@	0	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
1.0ms	x	@	0	(/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x))
1.0ms	x	@	inf	(/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x))

rewrite31.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

320×	`add-sqr-sqrt_binary64`
307×	`add-log-exp_binary64`
305×	`pow1_binary64`
305×	`log1p-expm1-u_binary64`
305×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	63
1	653	63

Stop Event

1×	node limit

Counts

2 → 19

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

(/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2))) (*.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))) (pow.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))))))))

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

simplify32.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

494×	`associate-/r*_binary64`
462×	`associate-*l/_binary64`
406×	`associate-/l*_binary64`
358×	`associate-l_binary64`
345×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	876
1	160	769
2	478	586
3	1874	562

Stop Event

1×	node limit

Counts

43 → 41

Calls

Call 1

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

Outputs
(.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7)))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 27/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (fma.f64 27/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 21/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 27/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 27/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 27/16 (pow.f64 x 3)))))
(+.f64 (.f64 21/8 (.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 27/16 (.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 21/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (fma.f64 27/16 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 15/8 (.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (*.f64 x x))) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 15/8 (pow.f64 x 7)))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 27/16 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 27/16 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (.f64 (/.f64 1 (pow.f64 x 3)) 35/16)))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 (/.f64 1/2 x) x) 1))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))))))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 x x))) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 x x))) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (+.f64 (.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)))
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 (/.f64 1/2 x) x) 1))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5))))))
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 x x))) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))))
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))))))
(fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 15/8 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 7))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 3/4 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (pow.f64 x 5)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 x x))) (.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))) (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))))))
(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (+.f64 (.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
(/.f64 1/2 (*.f64 (fabs.f64 x) (pow.f64 x 2)))
(/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x)))
(/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x))))
(/.f64 1/2 (pow.f64 x 3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(/.f64 1 (fabs.f64 x))
(/.f64 1 x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(/.f64 1 (fabs.f64 x))
(/.f64 1 x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (fabs.f64 x) (pow.f64 x 2)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (.f64 x (.f64 x (fabs.f64 x)))) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))

eval67.0ms (1.6%)

Compiler: Compiled 3885 to 2485 computations (36% saved)

prune65.0ms (1.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	98	11	109
Fresh	9	12	21
Picked	1	0	1
Done	0	0	0
Total	108	23	131

Error

0.1b

Counts

131 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (exp.f64 (log.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)))))
	2.4b	(+.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) 1/2)) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x))) (.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
	1.6b	(.f64 (.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)))) (+.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)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x))) (/.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)))))
	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)))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (log.f64 (exp.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)))))
	2.0b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
	1.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x))) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)))) (cbrt.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)))))
	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)))
	9.6b	(.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 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
	5.9b	(.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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)))))
▶	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (+.f64 (.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.6b	(.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)))))
	1.2b	(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
	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)))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
	1.5b	(.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.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)))))

Compiler

Compiled 1836 to 1362 computations (25.8% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))
✓	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))
✓	0.4b	(*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
	1.0b	(pow.f64 (exp.f64 x) x)

series10.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
1.0ms	x	@	inf	(*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))
1.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))
1.0ms	x	@	inf	(*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))
1.0ms	x	@	0	(*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))

rewrite36.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

209×	`add-sqr-sqrt_binary64`
199×	`add-log-exp_binary64`
198×	`log1p-expm1-u_binary64`
198×	`expm1-log1p-u_binary64`
197×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	429	47

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) (pow.f64 x 14))) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 x 7/2)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 1 (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) 1) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 1) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 x 14))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 7/2)) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (pow.f64 x 7/2)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (exp.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (pow.f64 x 7) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 x x) (log.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 x x) (log.f64 (pow.f64 x -7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -7))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 3/4 (pow.f64 x -5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 5) (*.f64 3/4 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 5) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3/4 (/.f64 (pow.f64 x 5) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3/4 (pow.f64 (exp.f64 x) x)) (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 3/4 (pow.f64 (exp.f64 x) x))) (neg.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 3/4 (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 3/4 (pow.f64 x -5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 3/4 (pow.f64 x -5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 3/4 (pow.f64 x -5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 9/16 (pow.f64 x 10)) (pow.f64 (exp.f64 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -5)) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 3/4 (pow.f64 x -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 3/4 (pow.f64 x -5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (*.f64 3/4 (pow.f64 x -5)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -5)) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 3/4 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 3/4 (pow.f64 x -5))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 3/4 (pow.f64 x -5))) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 3/4 (pow.f64 x -5)))))))))

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

726×	`associate-/l/_binary64`
696×	`associate-/l*_binary64`
607×	`fma-def_binary64`
454×	`associate-*l/_binary64`
215×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	601
1	150	589
2	348	571
3	768	571
4	2034	571

Stop Event

1×	node limit

Counts

120 → 113

Calls

Call 1

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

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

eval143.0ms (3.4%)

Compiler: Compiled 8659 to 4934 computations (43% saved)

prune99.0ms (2.4%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	4	18	22
Picked	0	1	1
Done	0	0	0
Total	190	24	214

Error

0.1b

Counts

214 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (exp.f64 (log.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)))))
	2.4b	(+.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) 1/2)) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x))) (.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 (PI.f64) 1/2)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
	1.6b	(.f64 (.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)))) (+.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)))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (+.f64 (/.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1/2 (.f64 x x))) (.f64 x x))) x) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	2.7b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (+.f64 (exp.f64 (+.f64 (-.f64 (.f64 x x) (log.f64 x)) (log1p.f64 (/.f64 1/2 (.f64 x x))))) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (log.f64 (exp.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)))))
	2.0b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.9b	(.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
	1.9b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.5b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x))) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)))) (cbrt.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)))))
	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)))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 (pow.f64 (/.f64 1/2 (.f64 x x)) 2) -1)) (.f64 x (+.f64 (/.f64 1/2 (.f64 x x)) -1))) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
	5.9b	(.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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)))))
✓	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (+.f64 (.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
	1.3b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (*.f64 (log.f64 (exp.f64 (pow.f64 x -5))) (+.f64 3/4 (/.f64 (/.f64 15/8 x) x)))))
	1.6b	(.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)))))
	1.2b	(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/2))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))
	1.2b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x))) (/.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)))))
	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)))
	1.4b	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) (fabs.f64 x)) (log.f64 (pow.f64 (exp.f64 (+.f64 3/4 (*.f64 15/8 (pow.f64 x -2)))) (pow.f64 x -5)))))
	1.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (+.f64 (.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))
	6.0b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (+.f64 (.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))) x)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)))))

Compiler

Compiled 994 to 717 computations (27.9% saved)

regimes154.0ms (3.7%)

Accuracy

Total -9.4b remaining (-832.2%)

Threshold costs -9.4b (-832.2%)

Counts

45 → 1

Calls

Call 1

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

Results

Time	Error	Segments	Branch
31.0ms	1.1b	1	`x`
31.0ms	1.1b	1	(.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))))))
30.0ms	1.1b	1	`(fabs.f64 x)`

Compiler

Compiled 1954 to 1145 computations (41.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	64
1	36	64

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

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

end33.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 84 to 54 computations (35.7% saved)

Details

analyze17.0ms (0.4%)

sample2.8s (68.1%)

preprocess30.0ms (0.7%)

simplify20.0ms (0.5%)

eval2.0ms (0%)

prune5.0ms (0.1%)

localize20.0ms (0.5%)

series15.0ms (0.4%)

rewrite63.0ms (1.5%)

simplify34.0ms (0.8%)

eval61.0ms (1.5%)

prune45.0ms (1.1%)

localize25.0ms (0.6%)

series2.0ms (0.1%)

rewrite40.0ms (1%)

simplify40.0ms (1%)

eval86.0ms (2.1%)

prune67.0ms (1.6%)

localize23.0ms (0.6%)

series8.0ms (0.2%)

rewrite31.0ms (0.7%)

simplify32.0ms (0.8%)

eval67.0ms (1.6%)

prune65.0ms (1.6%)

localize23.0ms (0.6%)

series10.0ms (0.2%)

rewrite36.0ms (0.9%)

simplify33.0ms (0.8%)

eval143.0ms (3.4%)

prune99.0ms (2.4%)

regimes154.0ms (3.7%)

simplify3.0ms (0.1%)

end33.0ms (0.8%)

Profiling