Details

analyze817.0ms (6.5%)

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
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample109.0ms (0.9%)

Algorithm

1×

intervals

Results

82.0ms	244×	body	256	valid
5.0ms	34×	body	128	nan
2.0ms	12×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify603.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (426.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune10.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 36.9b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.6b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
8.6b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
30.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite66.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_3851`
11×	`cbrt-prod_binary64_3860`
10×	`*-un-lft-identity_binary64_3829`
9×	`sqrt-prod_binary64_3845`
8×	`add-cube-cbrt_binary64_3864`
6×	`times-frac_binary64_3835` `pow1_binary64_3890`
4×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `difference-of-squares_binary64_3798` `sqrt-div_binary64_3846`
2×	`flip--_binary64_3804` `rem-sqrt-square_binary64_3842` `flip3--_binary64_3833` `pow1/2_binary64_3909` `pow1/3_binary64_3911` `cbrt-div_binary64_3861` `sqrt-pow1_binary64_3847`
1×	`div-inv_binary64_3826` `associate-*l/_binary64_3772` `distribute-lft-out--_binary64_3781`

Counts

4 → 61

Calls

4 calls:

18.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
18.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series993.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

456.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
430.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
52.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5115	1656

prune277.0ms (2.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	57	16	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	58	17	75

Merged error: 33.0b

Counts

75 → 17

Compiler

Compiled 3419 to 1291 computations (62.2% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
8.6b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
30.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite51.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`sqrt-prod_binary64_3845` `add-sqr-sqrt_binary64_3851`
6×	`add-log-exp_binary64_3868` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829`
4×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `sqrt-div_binary64_3846`
3×	`flip--_binary64_3804` `flip3--_binary64_3833` `difference-of-squares_binary64_3798`
2×	`rem-sqrt-square_binary64_3842` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847`
1×	`cancel-sign-sub-inv_binary64_3795` `associate-*l/_binary64_3772` `pow1/3_binary64_3911` `cbrt-div_binary64_3861` `cbrt-prod_binary64_3860` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

4 → 55

Calls

4 calls:

16.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series546.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

410.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
53.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
51.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
32.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify119.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4981	1104
1	4981	1104

prune231.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	64	20	84

Merged error: 32.2b

Counts

84 → 20

Compiler

Compiled 3260 to 1289 computations (60.5% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
4.0b	(-.f64 (.f64 g g) (.f64 h h))
30.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_3868` `sqrt-prod_binary64_3845` `add-sqr-sqrt_binary64_3851`
6×	`add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829`
4×	`flip--_binary64_3804` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `flip3--_binary64_3833` `difference-of-squares_binary64_3798` `sqrt-div_binary64_3846`
2×	`cancel-sign-sub-inv_binary64_3795` `rem-sqrt-square_binary64_3842` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

4 → 58

Calls

4 calls:

9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))

series189.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
51.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
42.0ms	(-.f64 (.f64 g g) (.f64 h h))
38.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify141.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4931	960
1	4931	960

prune229.0ms (1.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	69	21	90

Merged error: 32.2b

Counts

90 → 21

Compiler

Compiled 3454 to 1358 computations (60.7% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
8.6b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
30.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite47.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`sqrt-prod_binary64_3845` `add-sqr-sqrt_binary64_3851`
6×	`add-log-exp_binary64_3868` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829`
4×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `sqrt-div_binary64_3846`
3×	`flip--_binary64_3804` `flip3--_binary64_3833` `difference-of-squares_binary64_3798`
2×	`rem-sqrt-square_binary64_3842` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847`
1×	`cancel-sign-sub-inv_binary64_3795` `associate-*l/_binary64_3772` `pow1/3_binary64_3911` `cbrt-div_binary64_3861` `cbrt-prod_binary64_3860` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

4 → 55

Calls

4 calls:

15.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(-.f64 (.f64 g g) (.f64 h h))

series580.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

454.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
43.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
42.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
40.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify125.0ms (1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4981	1104
1	4981	1104

prune157.0ms (1.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	67	21	88

Merged error: 32.2b

Counts

88 → 21

Compiler

Compiled 2463 to 859 computations (65.1% saved)

regimes1.6s (12.3%)

Compiler: Compiled 14060 to 8279 computations (41.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	52
1	51	52

end0.0ms (0%)

sample5.5s (43.5%)

Algorithm

1×

intervals

Results

2.3s	7542×	body	256	valid
189.0ms	1241×	body	128	nan
77.0ms	458×	body	128	valid

Compiler

Compiled 2065 to 1216 computations (41.1% saved)

Details

analyze817.0ms (6.5%)

sample109.0ms (0.9%)

simplify603.0ms (4.8%)

prune10.0ms (0.1%)

localize37.0ms (0.3%)

rewrite66.0ms (0.5%)

series993.0ms (7.9%)

simplify102.0ms (0.8%)

prune277.0ms (2.2%)

localize36.0ms (0.3%)

rewrite51.0ms (0.4%)

series546.0ms (4.3%)

simplify119.0ms (0.9%)

prune231.0ms (1.8%)

localize39.0ms (0.3%)

rewrite46.0ms (0.4%)

series189.0ms (1.5%)

simplify141.0ms (1.1%)

prune229.0ms (1.8%)

localize36.0ms (0.3%)

rewrite47.0ms (0.4%)

series580.0ms (4.6%)

simplify125.0ms (1%)

prune157.0ms (1.2%)

regimes1.6s (12.3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.5s (43.5%)

Profiling