Details

analyze8.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample2.6s (46.3%)

Results

2.5s	8256×	body	128	valid
43.0ms	143×	body	128	invalid

Compiler

Compiled 214 to 142 computations (33.6% saved)

preprocess34.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

613×	`rules-20_binary64`
595×	`rules-14-rev_binary64`
318×	`rules-24-rev_binary64`
210×	`rules-21_binary64`
150×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	154
1	107	89
2	395	60
3	2273	59
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 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (fabs.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 1 (sqrt.f64 (PI.f64))) (.f64 (fma.f64 15/8 (/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (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))))) (exp.f64 (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (+.f64 (/.f64 15/8 (fabs.f64 x)) (.f64 (fabs.f64 x) (+.f64 3/4 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x x))))))))
(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))

Compiler

Compiled 104 to 69 computations (33.7% saved)

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

613×	`rules-20_binary64`
595×	`rules-14-rev_binary64`
318×	`rules-24-rev_binary64`
210×	`rules-21_binary64`
150×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	154
1	107	89
2	395	60
3	2273	59

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

prune8.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.1b

Counts

3 → 2

Alt Table

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

Status

Error

Program

▶

1.3b

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

2.7b

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

Compiler

Compiled 428 to 284 computations (33.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
✓	0.9b	(pow.f64 (/.f64 1 (fabs.f64 x)) 4)
✓	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(pow.f64 (exp.f64 x) x)

series72.0ms (1.3%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
23.0ms	x	@	-inf	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
10.0ms	x	@	0	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
6.0ms	x	@	inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 4)
4.0ms	x	@	-inf	(pow.f64 (/.f64 1 (fabs.f64 x)) 4)

rewrite36.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

231×	`add-sqr-sqrt_binary64`
222×	`pow1_binary64`
222×	`rules-40_binary64`
222×	`rules-41_binary64`
222×	`rules-42_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	78
1	548	70

Stop Event

1×	node limit

Counts

4 → 66

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (.f64 x x))) (.f64 (cbrt.f64 (exp.f64 (.f64 x x))) (cbrt.f64 (exp.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x x))) (cbrt.f64 (exp.f64 (.f64 x x)))) (cbrt.f64 (exp.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (.f64 x x))) (sqrt.f64 (exp.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (pow.f64 (exp.f64 x) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (exp.f64 (.f64 x x)) (exp.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .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 (cbrt.f64 (sqrt.f64 (PI.f64))) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) 1)))) (#(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 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 cbrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))))
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simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

557×	`rules-14-rev_binary64`
379×	`rules-21_binary64`
370×	`rules-20_binary64`
347×	`rules-6_binary64`
261×	`rules-6-rev_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1346
1	359	1214
2	1731	981

Stop Event

1×	node limit

Counts

102 → 89

Calls

Call 1

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

prune149.0ms (2.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	93	14	107
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	95	14	109

Error

0.5b

Counts

109 → 14

Alt Table

Status	Error	Program
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (log.f64 (exp.f64 (pow.f64 (/.f64 1 x) 4))) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.4b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
	2.7b	(.f64 (expm1.f64 (log1p.f64 (exp.f64 (.f64 x x)))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	3.0b	(expm1.f64 (log1p.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (*.f64 x (sqrt.f64 (PI.f64)))))))
	2.7b	(.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 x x))) (sqrt.f64 (exp.f64 (.f64 x x)))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	2.6b	(fabs.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (*.f64 x (sqrt.f64 (PI.f64))))))
▶	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (pow.f64 x 5)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	2.6b	(/.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) x)) (sqrt.f64 (PI.f64)))
	2.6b	(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
	1.3b	(.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (pow.f64 (exp.f64 x) (/.f64 x 2))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	2.9b	(exp.f64 (log.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (*.f64 x (sqrt.f64 (PI.f64)))))))
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
	2.1b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))

Compiler

Compiled 5856 to 3556 computations (39.3% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series20.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4))
3.0ms	x	@	-inf	(/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (pow.f64 x 5))))
3.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4))
2.0ms	x	@	-inf	(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2))
2.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2))

rewrite32.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

171×	`add-sqr-sqrt_binary64`
163×	`add-log-exp_binary64`
162×	`pow1_binary64`
162×	`log1p-expm1-u_binary64`
162×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	409	45

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (pow.f64 x 5/2) x)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (pow.f64 x 5/2) 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)) (.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (pow.f64 x 5/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (.f64 x (pow.f64 x 6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (pow.f64 x 5/2) x)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (pow.f64 x 5/2) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 x (cbrt.f64 1/2))) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 x (cbrt.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 x (cbrt.f64 1/2))) 2) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 x (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2))) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) 1/2)))) (#(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)) (.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 x (cbrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (.f64 (pow.f64 x 3) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 x (cbrt.f64 1/2))) 2) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 x (cbrt.f64 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2))) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 x x) (log.f64 (.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (pow.f64 x 3) 2))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 x 5/2) x)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 x 5/2) 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)) (*.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 x 5/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (*.f64 x (pow.f64 x 6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 x 5/2) x)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 x 5/2) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 6)))))))))

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

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

775×	`rules-21_binary64`
373×	`rules-14-rev_binary64`
340×	`rules-13_binary64`
290×	`fma-def_binary64`
214×	`rules-4_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	553
1	204	547
2	880	547
3	4582	547

Stop Event

1×	node limit

Counts

129 → 118

Calls

Call 1

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

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

prune332.0ms (5.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	212	6	218
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	215	17	232

Error

0.5b

Counts

232 → 17

Alt Table

Status	Error	Program
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (pow.f64 x 5)))))) (+.f64 (/.f64 (expm1.f64 (log1p.f64 (exp.f64 (*.f64 x x)))) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) 3/4) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (*.f64 x (pow.f64 x 5)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (log.f64 (exp.f64 (pow.f64 (/.f64 1 x) 4))) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.4b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
	2.7b	(.f64 (expm1.f64 (log1p.f64 (exp.f64 (.f64 x x)))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (pow.f64 x 5)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) 2)))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (pow.f64 x 5)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
▶	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	1.3b	(.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (pow.f64 (exp.f64 x) (/.f64 x 2))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	3.0b	(expm1.f64 (log1p.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (*.f64 x (sqrt.f64 (PI.f64)))))))
	2.7b	(.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 x x))) (sqrt.f64 (exp.f64 (.f64 x x)))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (.f64 x (pow.f64 x 5)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (pow.f64 (exp.f64 x) (/.f64 x 2))) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	2.6b	(fabs.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (*.f64 x (sqrt.f64 (PI.f64))))))
	2.6b	(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
	2.1b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))

Compiler

Compiled 12935 to 7042 computations (45.6% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))
2.0ms	x	@	inf	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))
1.0ms	x	@	0	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))

rewrite37.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`rules-40_binary64`
693×	`rules-41_binary64`
693×	`rules-42_binary64`
693×	`rules-43_binary64`
647×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	166	12
2	2062	12

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.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) (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 x 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 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 x 7)))))) (#(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 sqrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.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 fma.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) 0)))) (#(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 exp.f64 (-.f64 (*.f64 x x) (*.f64 7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))))))))

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

596×	`rules-14-rev_binary64`
496×	`rules-6-rev_binary64`
487×	`rules-6_binary64`
420×	`rules-13_binary64`
288×	`rules-20_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	175
1	83	175
2	276	175
3	1216	175

Stop Event

1×	node limit

Counts

41 → 38

Calls

Call 1

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

Outputs
(/.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 (pow.f64 x 7)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (.f64 1/6 (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1/6 x)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1/6 x))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.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))

prune348.0ms (6.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	220	16	236

Error

0.5b

Counts

236 → 16

Alt Table

Status	Error	Program
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (log.f64 (exp.f64 (pow.f64 (/.f64 1 x) 4))) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.4b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
	2.7b	(.f64 (expm1.f64 (log1p.f64 (exp.f64 (.f64 x x)))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	3.0b	(expm1.f64 (log1p.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (*.f64 x (sqrt.f64 (PI.f64)))))))
	2.7b	(.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 x x))) (sqrt.f64 (exp.f64 (.f64 x x)))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) 2)))))))
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (expm1.f64 (log1p.f64 (exp.f64 (*.f64 x x)))) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	2.1b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (pow.f64 (exp.f64 x) (/.f64 x 2))) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) 3/4) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (*.f64 x (pow.f64 x 5)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	1.3b	(.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (pow.f64 (exp.f64 x) (/.f64 x 2))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	2.6b	(fabs.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (*.f64 x (sqrt.f64 (PI.f64))))))
	2.6b	(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
▶	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 x 3) 1/2)))))
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))

Compiler

Compiled 12068 to 6602 computations (45.3% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))
	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4))
	1.0b	(pow.f64 (exp.f64 x) x)
✓	2.5b	(exp.f64 (*.f64 x x))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(exp.f64 (*.f64 x x))
0.0ms	x	@	inf	(exp.f64 (*.f64 x x))
0.0ms	x	@	-inf	(exp.f64 (*.f64 x x))

rewrite27.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

364×	`pow1_binary64`
364×	`rules-40_binary64`
364×	`rules-41_binary64`
364×	`rules-42_binary64`
364×	`rules-43_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	90	6
2	1127	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(exp.f64 (*.f64 x x))

Outputs

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

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

504×	`rules-23-rev_binary64`
419×	`rules-22-rev_binary64`
316×	`fma-def_binary64`
240×	`rules-13_binary64`
234×	`rules-4_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	91
1	51	85
2	174	85
3	556	85
4	3108	85

Stop Event

1×	node limit

Counts

43 → 39

Calls

Call 1

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

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

prune311.0ms (5.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	189	3	192
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	189	19	208

Error

0.4b

Counts

208 → 19

Alt Table

Status	Error	Program
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (log.f64 (exp.f64 (pow.f64 (/.f64 1 x) 4))) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.4b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
	2.7b	(.f64 (expm1.f64 (log1p.f64 (exp.f64 (.f64 x x)))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	3.0b	(expm1.f64 (log1p.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (*.f64 x (sqrt.f64 (PI.f64)))))))
	2.7b	(.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 x x))) (sqrt.f64 (exp.f64 (.f64 x x)))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) 2)))))))
	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 x 3) 1/2)))))
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (/.f64 (pow.f64 x 3) 1/2)))))
	1.3b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
	2.6b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (expm1.f64 (log1p.f64 (exp.f64 (*.f64 x x)))) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x 3) 1/2)))))
	2.1b	(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (pow.f64 (exp.f64 x) (/.f64 x 2))) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	1.2b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) 3/4) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (*.f64 x (pow.f64 x 5)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 3) 1/2)))))
	1.3b	(.f64 (.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (pow.f64 (exp.f64 x) (/.f64 x 2))) (/.f64 (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
	2.6b	(fabs.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 15/8 (/.f64 (pow.f64 (/.f64 1 x) 4) (.f64 x x)) (fma.f64 3/4 (pow.f64 (/.f64 1 x) 4) (+.f64 1 (/.f64 1/2 (.f64 x x))))) (*.f64 x (sqrt.f64 (PI.f64))))))
	2.6b	(+.f64 (.f64 3/4 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (fabs.f64 x) 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 15/8 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (.f64 (pow.f64 (fabs.f64 x) 5) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))))
✓	1.1b	(.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 x 5) 3/4)) (.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 x 3) 1/2)))))

Compiler

Compiled 10204 to 5550 computations (45.6% saved)

regimes788.0ms (14%)

Accuracy

Total 0.7b remaining (55.9%)

Threshold costs 0.7b (55.9%)

Counts

161 → 1

Compiler

Compiled 22904 to 14946 computations (34.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	76
1	33	76

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

end559.0ms (10%)

Stop Event

1×

fuel

Compiler

Compiled 982 to 649 computations (33.9% saved)

Details

analyze8.0ms (0.2%)

sample2.6s (46.3%)

preprocess34.0ms (0.6%)

simplify24.0ms (0.4%)

prune8.0ms (0.1%)

localize19.0ms (0.3%)

series72.0ms (1.3%)

rewrite36.0ms (0.6%)

simplify36.0ms (0.6%)

prune149.0ms (2.7%)

localize23.0ms (0.4%)

series20.0ms (0.3%)

rewrite32.0ms (0.6%)

simplify40.0ms (0.7%)

prune332.0ms (5.9%)

localize23.0ms (0.4%)

series6.0ms (0.1%)

rewrite37.0ms (0.7%)

simplify20.0ms (0.4%)

prune348.0ms (6.2%)

localize25.0ms (0.5%)

series2.0ms (0%)

rewrite27.0ms (0.5%)

simplify31.0ms (0.5%)

prune311.0ms (5.5%)

regimes788.0ms (14%)

simplify2.0ms (0%)

end559.0ms (10%)

Profiling