Details

analyze9.0ms (0.1%)

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)

sample2.9s (36.7%)

Results

2.8s	8256×	body	128	valid
41.0ms	125×	body	128	invalid

Compiler

Compiled 318 to 211 computations (33.6% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
640×	`associate-*l/_binary64`
462×	`associate-*r/_binary64`
372×	`associate-/l*_binary64`
366×	`distribute-rgt-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	82
2	278	58
3	1167	52
4	3376	49
5	3967	47
6	4726	47
7	5673	47

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

2.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
▶	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Status

Error

Program

2.8b

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

▶

2.6b

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

Compiler

Compiled 404 to 266 computations (34.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
✓	0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	2.5b	(exp.f64 (*.f64 x x))

series18.0ms (0.2%)

Counts

4 → 36

Calls

4 calls:

13.0ms	(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
3.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
2.0ms	(exp.f64 (*.f64 x x))
0.0ms	(sqrt.f64 (PI.f64))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
15×	`sqrt-prod_binary64`

Counts

4 → 95

Calls

4 calls:

6.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
4.0ms	(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
1.0ms	(exp.f64 (*.f64 x x))
1.0ms	(sqrt.f64 (PI.f64))

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

451×	`distribute-rgt-in_binary64`
431×	`distribute-lft-in_binary64`
301×	`associate-/r/_binary64`
232×	`fma-def_binary64`
184×	`associate-/l*_binary64`

Counts

131 → 124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2227
1	345	2038
2	867	2013
3	2521	2004
4	4956	2004

prune159.0ms (2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	110	14	124
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	111	15	126

Error

0.8b

Counts

126 → 15

Alt Table

Status	Error	Program
	2.9b	(.f64 (/.f64 (exp.f64 (-.f64 (.f64 x x) (log.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.2b	(.f64 (/.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (exp.f64 (.f64 x x)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.9b	(.f64 (/.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
▶	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.7b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))))
	2.7b	(.f64 (/.f64 (/.f64 (expm1.f64 (log1p.f64 (exp.f64 (.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (/.f64 3/4 (.f64 x x)) (/.f64 3/4 (.f64 x x)))) (.f64 (.f64 x x) (-.f64 1/2 (/.f64 3/4 (*.f64 x x))))))))
	2.8b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.3b	(.f64 (/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x x))) (cbrt.f64 (exp.f64 (.f64 x x)))) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (cbrt.f64 (exp.f64 (.f64 x x))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	2.9b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	3.2b	(.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (exp.f64 (.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (sqrt.f64 (exp.f64 (.f64 x x))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))))
	2.9b	(.f64 (/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x x))) (cbrt.f64 (exp.f64 (.f64 x x)))) (fabs.f64 (cbrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (exp.f64 (.f64 x x))) (sqrt.f64 (cbrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Compiler

Compiled 6007 to 3155 computations (47.5% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series14.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

12.0ms	(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
3.0ms	(pow.f64 (exp.f64 x) x)

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
35×	`add-sqr-sqrt_binary64`
35×	`add-cube-cbrt_binary64`
24×	`sqrt-prod_binary64`

Counts

2 → 93

Calls

2 calls:

4.0ms	(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
2.0ms	(pow.f64 (exp.f64 x) x)

simplify140.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

778×	`fma-def_binary64`
323×	`distribute-rgt-in_binary64`
315×	`distribute-lft-in_binary64`
288×	`fma-neg_binary64`
202×	`associate-/l*_binary64`

Counts

117 → 138

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	2229
1	258	2147
2	646	2123
3	2050	2112
4	4797	2112
5	4962	2112
6	4984	2112

prune257.0ms (3.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	168	21	189
Fresh	10	4	14
Picked	1	0	1
Done	0	0	0
Total	179	25	204

Error

0.3b

Counts

204 → 25

Alt Table

Status	Error	Program
▶	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.6b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (/.f64 3/4 (.f64 x x)) (/.f64 3/4 (.f64 x x)))) (.f64 (.f64 x x) (-.f64 1/2 (/.f64 3/4 (.f64 x x))))))))
	1.8b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (fabs.f64 (cbrt.f64 (PI.f64)))) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (sqrt.f64 (cbrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.7b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.1b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.1b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.7b	(.f64 (/.f64 (/.f64 (expm1.f64 (log1p.f64 (exp.f64 (.f64 x x)))) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.0b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) x) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) (/.f64 x 2)))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))))
	2.8b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (pow.f64 x 3/2)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.2b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (exp.f64 (.f64 x x))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.6b	(.f64 (/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x)))) (cbrt.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))))) (/.f64 x (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x)))) x))))))
	2.9b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.3b	(.f64 (/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))

Compiler

Compiled 9389 to 4885 computations (48% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

11.0ms

(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64`
7×	`associate-/l*_binary64`
7×	`times-frac_binary64`
6×	`unpow-prod-down_binary64`
6×	`add-cbrt-cube_binary64`

Counts

1 → 35

Calls

1 calls:

9.0ms

(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

436×	`*-commutative_binary64`
415×	`fma-def_binary64`
406×	`fma-neg_binary64`
354×	`times-frac_binary64`
256×	`unswap-sqr_binary64`

Counts

47 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	911
1	180	822
2	467	798
3	1872	787
4	3349	787
5	4503	787
6	4975	787
7	4964	787

prune261.0ms (3.3%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	156	12	168
Fresh	7	17	24
Picked	1	0	1
Done	0	0	0
Total	164	29	193

Error

0.2b

Counts

193 → 29

Alt Table

Status	Error	Program
	1.6b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.7b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (expm1.f64 (log1p.f64 (exp.f64 (.f64 x x)))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.2b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (exp.f64 (.f64 x x))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (/.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.8b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (fabs.f64 (cbrt.f64 (PI.f64)))) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (sqrt.f64 (cbrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
▶	1.1b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (/.f64 3/4 (.f64 x x)) (/.f64 3/4 (.f64 x x)))) (.f64 (.f64 x x) (-.f64 1/2 (/.f64 3/4 (*.f64 x x))))))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x)))) (cbrt.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))))) (/.f64 x (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x)))) x))))))
	2.3b	(.f64 (/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.1b	(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	8.7b	(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))))
	2.1b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.1b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.6b	(.f64 (/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	3.0b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) x) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))))
	2.8b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (pow.f64 x 3/2)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	8.7b	(.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.9b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.7b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (pow.f64 x 3/2)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Compiler

Compiled 9551 to 4803 computations (49.7% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓	0.5b	(.f64 (/.f64 3/4 (.f64 x x)) (/.f64 3/4 (*.f64 x x)))
	1.0b	(sqrt.f64 (PI.f64))
	1.0b	(pow.f64 (exp.f64 x) x)

series3.0ms (0%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(*.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 3/4 (*.f64 x x)))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-cbrt-cube_binary64`
37×	`add-exp-log_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
15×	`cbrt-unprod_binary64`

Counts

1 → 61

Calls

1 calls:

8.0ms

(*.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 3/4 (*.f64 x x)))

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

484×	`associate-*l/_binary64`
399×	`associate-r_binary64`
382×	`fma-def_binary64`
352×	`associate-*r/_binary64`
341×	`fma-neg_binary64`

Counts

73 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1301
1	212	787
2	788	739
3	2923	686
4	4234	686
5	4853	686
6	4878	686

prune470.0ms (6%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	212	4	216
Fresh	3	25	28
Picked	1	0	1
Done	0	0	0
Total	216	29	245

Error

0.2b

Counts

245 → 29

Alt Table

Status	Error	Program
	1.6b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.7b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (expm1.f64 (log1p.f64 (exp.f64 (.f64 x x)))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.2b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (exp.f64 (.f64 x x))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (/.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))
	1.8b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (fabs.f64 (cbrt.f64 (PI.f64)))) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (sqrt.f64 (cbrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.3b	(.f64 (/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.1b	(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (/.f64 3/4 (.f64 x x)) (/.f64 3/4 (.f64 x x)))) (.f64 (.f64 x x) (-.f64 1/2 (/.f64 3/4 (.f64 x x))))))))
	1.2b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (/.f64 3/4 (.f64 x x)) (/.f64 3/4 (.f64 x x)))) (.f64 (.f64 x x) (-.f64 1/2 (/.f64 3/4 (*.f64 x x))))))))
	8.7b	(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (exp.f64 x)) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (/.f64 3/4 (.f64 x x)) (/.f64 3/4 (.f64 x x)))) (.f64 (.f64 x x) (-.f64 1/2 (/.f64 3/4 (.f64 x x))))))))
	2.1b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (exp.f64 x) (/.f64 x 2)) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))))
	2.1b	(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (-.f64 (.f64 1/2 1/2) (.f64 (.f64 (cbrt.f64 (/.f64 3/4 (.f64 x x))) (cbrt.f64 (/.f64 3/4 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 3/4 (.f64 x x))) (/.f64 3/4 (.f64 x x))))) (.f64 (.f64 x x) (-.f64 1/2 (/.f64 3/4 (*.f64 x x))))))))
	3.0b	(.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) x) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))))
	2.8b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (pow.f64 x 3/2)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.6b	(.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.2b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x)))) (cbrt.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))))) (/.f64 x (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x)))) x))))))
	2.6b	(.f64 (/.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	2.9b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	1.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	1.6b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
	2.7b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (pow.f64 x 3/2)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
	8.7b	(.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) x))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))

Compiler

Compiled 13618 to 6989 computations (48.7% saved)

regimes2.3s (29.6%)

Accuracy

Total 0.9b remaining (69.4%)

Threshold costs 0.9b (69.4%)

Counts

359 → 1

Compiler

Compiled 45413 to 30414 computations (33% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	81
1	44	81
2	54	81
3	58	81
4	60	81
5	57	81

end817.0ms (10.4%)

Compiler: Compiled 1556 to 961 computations (38.2% saved)

Details

analyze9.0ms (0.1%)

sample2.9s (36.7%)

simplify67.0ms (0.9%)

prune8.0ms (0.1%)

localize19.0ms (0.2%)

series18.0ms (0.2%)

rewrite19.0ms (0.2%)

simplify77.0ms (1%)

prune159.0ms (2%)

localize20.0ms (0.3%)

series14.0ms (0.2%)

rewrite12.0ms (0.2%)

simplify140.0ms (1.8%)

prune257.0ms (3.3%)

localize26.0ms (0.3%)

series11.0ms (0.1%)

rewrite12.0ms (0.1%)

simplify95.0ms (1.2%)

prune261.0ms (3.3%)

localize25.0ms (0.3%)

series3.0ms (0%)

rewrite21.0ms (0.3%)

simplify89.0ms (1.1%)

prune470.0ms (6%)

regimes2.3s (29.6%)

simplify4.0ms (0%)

end817.0ms (10.4%)

Profiling