Details

analyze178.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample28.0ms (0.1%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify255.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5029	46

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite85.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`associate-*r/_binary64_3771`
17×	`add-exp-log_binary64_3867` `pow1_binary64_3890`
16×	`add-cbrt-cube_binary64_3865`
14×	`add-sqr-sqrt_binary64_3851`
12×	`*-un-lft-identity_binary64_3829`
10×	`add-cube-cbrt_binary64_3864` `associate-r_binary64_3769`
7×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
5×	`associate-l_binary64_3770`
4×	`frac-add_binary64_3837` `flip3-+_binary64_3832` `add-log-exp_binary64_3868` `flip-+_binary64_3803` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
3×	`flip--_binary64_3804` `unswap-sqr_binary64_3797` `flip3--_binary64_3833` `unpow-prod-down_binary64_3908` `pow-unpow_binary64_3906` `*-commutative_binary64_3760`
2×	`cancel-sign-sub-inv_binary64_3795` `sub-neg_binary64_3822`
1×	`pow-exp_binary64_3897` `unpow2_binary64_3894` `pow-pow_binary64_3901` `sqr-pow_binary64_3801` `distribute-lft-out_binary64_3780` `pow-to-exp_binary64_3898`

Counts

4 → 93

Calls

4 calls:

23.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
21.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
15.0ms	(.f64 (.f64 a a) (+.f64 1 a))
13.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series216.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
50.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
50.0ms	(.f64 (.f64 a a) (+.f64 1 a))
44.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4955	2040
1	4955	2040

prune620.0ms (1.4%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	76	29	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	30	106

Merged error: 0.0b

Counts

106 → 30

Compiler

Compiled 5401 to 3146 computations (41.8% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.4b	(.f64 (.f64 b b) (*.f64 a a))

rewrite66.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`pow1_binary64_3890`
28×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
21×	`pow-prod-down_binary64_3900`
18×	`associate-*r/_binary64_3771`
15×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
12×	`add-sqr-sqrt_binary64_3851`
11×	`associate-r_binary64_3769`
10×	`*-un-lft-identity_binary64_3829`
8×	`add-cube-cbrt_binary64_3864`
6×	`associate-l_binary64_3770`
4×	`frac-add_binary64_3837` `flip3-+_binary64_3832` `add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `pow-prod-up_binary64_3899` `distribute-rgt-in_binary64_3779` `*-commutative_binary64_3760` `distribute-lft-in_binary64_3778` `pow-plus_binary64_3892`
3×	`flip--_binary64_3804` `flip3--_binary64_3833`
2×	`cancel-sign-sub-inv_binary64_3795` `pow-sqr_binary64_3802` `pow2_binary64_3910` `sub-neg_binary64_3822`
1×	`distribute-lft-out_binary64_3780`

Counts

4 → 104

Calls

4 calls:

17.0ms	(.f64 (.f64 b b) (*.f64 a a))
14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
13.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))

series141.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
37.0ms	(.f64 (.f64 a a) (+.f64 1 a))
33.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
27.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify91.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5085	1949

prune1.4s (3.2%)

Pruning

54 alts after pruning (52 fresh and 2 done)

	Pruned	Kept	Total
New	89	27	116
Fresh	3	25	28
Picked	0	1	1
Done	0	1	1
Total	92	54	146

Merged error: 0.0b

Counts

146 → 54

Compiler

Compiled 7934 to 4997 computations (37% saved)

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.4b	(.f64 (.f64 b b) (*.f64 a a))
9.3b	(cbrt.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (*.f64 a a) (+.f64 a 1))))
9.3b	(cbrt.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (*.f64 a a) (+.f64 a 1))))
9.3b	(cbrt.f64 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))

rewrite102.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`pow1_binary64_3890`
24×	`associate-*r/_binary64_3771`
18×	`cbrt-div_binary64_3861`
16×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
14×	`pow-prod-down_binary64_3900`
12×	`frac-add_binary64_3837`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `cbrt-prod_binary64_3860`
8×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
7×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
6×	`flip--_binary64_3804` `flip3--_binary64_3833`
4×	`add-log-exp_binary64_3868` `pow-prod-up_binary64_3899` `pow-plus_binary64_3892`
3×	`pow1/3_binary64_3911`
2×	`pow-sqr_binary64_3802` `pow2_binary64_3910`
1×	`unswap-sqr_binary64_3797` `-commutative_binary64_3760` `associate-r_binary64_3769` `associate-l*_binary64_3770`

Counts

4 → 80

Calls

4 calls:

22.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))
17.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (*.f64 a a) (+.f64 a 1))))
13.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (*.f64 a a) (+.f64 a 1))))
11.0ms	(.f64 (.f64 b b) (*.f64 a a))

series547.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (*.f64 a a) (+.f64 a 1))))
161.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (*.f64 a a) (+.f64 a 1))))
160.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))
24.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5083	3327

prune2.9s (6.5%)

Pruning

74 alts after pruning (71 fresh and 3 done)

	Pruned	Kept	Total
New	71	21	92
Fresh	1	50	51
Picked	0	1	1
Done	0	2	2
Total	72	74	146

Merged error: 0.0b

Counts

146 → 74

Compiler

Compiled 13002 to 8213 computations (36.8% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 1 (*.f64 a 3)))
0.2b	(.f64 (.f64 (.f64 b b) (.f64 (cbrt.f64 (-.f64 1 (.f64 a 3))) (cbrt.f64 (-.f64 1 (.f64 a 3))))) (cbrt.f64 (-.f64 1 (*.f64 3 a))))
0.5b	(.f64 (.f64 b b) (.f64 (cbrt.f64 (-.f64 1 (.f64 a 3))) (cbrt.f64 (-.f64 1 (*.f64 a 3)))))
1.4b	(.f64 (.f64 b b) (*.f64 a a))

rewrite115.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`pow1_binary64_3890`
68×	`cbrt-div_binary64_3861`
46×	`add-exp-log_binary64_3867`
42×	`associate-*r/_binary64_3771`
41×	`pow-prod-down_binary64_3900`
34×	`flip--_binary64_3804` `flip3--_binary64_3833`
33×	`add-cbrt-cube_binary64_3865`
32×	`frac-times_binary64_3839`
29×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
16×	`associate-*l/_binary64_3772`
8×	`pow-prod-up_binary64_3899` `associate-r_binary64_3769` `pow-plus_binary64_3892`
7×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
6×	`cbrt-prod_binary64_3860`
4×	`add-log-exp_binary64_3868` `pow-sqr_binary64_3802` `pow2_binary64_3910`
3×	`-commutative_binary64_3760` `associate-l*_binary64_3770`
2×	`unswap-sqr_binary64_3797`
1×	`pow1/3_binary64_3911`

Counts

4 → 135

Calls

4 calls:

33.0ms	(.f64 (.f64 (.f64 b b) (.f64 (cbrt.f64 (-.f64 1 (.f64 a 3))) (cbrt.f64 (-.f64 1 (.f64 a 3))))) (cbrt.f64 (-.f64 1 (*.f64 3 a))))
28.0ms	(.f64 (.f64 b b) (.f64 (cbrt.f64 (-.f64 1 (.f64 a 3))) (cbrt.f64 (-.f64 1 (*.f64 a 3)))))
16.0ms	(.f64 (.f64 b b) (*.f64 a a))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 a 3)))

series268.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(.f64 (.f64 b b) (.f64 (cbrt.f64 (-.f64 1 (.f64 a 3))) (cbrt.f64 (-.f64 1 (*.f64 a 3)))))
86.0ms	(.f64 (.f64 (.f64 b b) (.f64 (cbrt.f64 (-.f64 1 (.f64 a 3))) (cbrt.f64 (-.f64 1 (.f64 a 3))))) (cbrt.f64 (-.f64 1 (*.f64 3 a))))
47.0ms	(cbrt.f64 (-.f64 1 (*.f64 a 3)))
31.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify183.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4950	3612
1	4950	3612

prune3.6s (7.9%)

Pruning

91 alts after pruning (87 fresh and 4 done)

	Pruned	Kept	Total
New	122	25	147
Fresh	8	62	70
Picked	0	1	1
Done	0	3	3
Total	130	91	221

Merged error: 0.0b

Counts

221 → 91

Compiler

Compiled 8619 to 5790 computations (32.8% saved)

regimes7.1s (15.8%)

Compiler: Compiled 91327 to 63581 computations (30.4% saved)

bsearch5.6s (12.4%)

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	83	82
1	83	82

end0.0ms (0%)

sample21.2s (46.8%)

Algorithm

1×

intervals

Results

757.0ms	8000×	body	128	valid
1.0ms	8×	body	128	invalid

Compiler

Compiled 17879 to 12462 computations (30.3% saved)

Pareto

Details

analyze178.0ms (0.4%)

sample28.0ms (0.1%)

simplify255.0ms (0.6%)

prune5.0ms (0%)

localize24.0ms (0.1%)

rewrite85.0ms (0.2%)

series216.0ms (0.5%)

simplify93.0ms (0.2%)

prune620.0ms (1.4%)

localize45.0ms (0.1%)

rewrite66.0ms (0.1%)

series141.0ms (0.3%)

simplify91.0ms (0.2%)

prune1.4s (3.2%)

localize49.0ms (0.1%)

rewrite102.0ms (0.2%)

series547.0ms (1.2%)

simplify93.0ms (0.2%)

prune2.9s (6.5%)

localize37.0ms (0.1%)

rewrite115.0ms (0.3%)

series268.0ms (0.6%)

simplify183.0ms (0.4%)

prune3.6s (7.9%)

regimes7.1s (15.8%)

bsearch5.6s (12.4%)

simplify72.0ms (0.2%)

end0.0ms (0%)

sample21.2s (46.8%)

Profiling