Details

analyze6.4s (22.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Compiler

Compiled 66 to 47 computations (28.8% saved)

sample478.0ms (1.7%)

Algorithm

1×

intervals

Results

333.0ms	163×	body	1024	valid
57.0ms	44×	body	512	valid
50.0ms	13×	body	2048	valid
9.0ms	11×	body	256	valid
8.0ms	25×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4751	103
1	4751	103

prune6.0ms (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: 23.9b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series152.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify154.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4735	612
1	4735	612

prune576.0ms (2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	31	13	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	14	45

Merged error: 23.4b

Counts

45 → 14

Compiler

Compiled 12443 to 8470 computations (31.9% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sin-diff_binary64` `div-sub_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 45

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series153.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune850.0ms (3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	55	16	71

Merged error: 23.4b

Counts

71 → 16

Compiler

Compiled 18158 to 12495 computations (31.2% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series170.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify154.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4735	612
1	4735	612

prune308.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	2	12	14
Picked	1	0	1
Done	0	1	1
Total	45	15	60

Merged error: 23.4b

Counts

60 → 15

Compiler

Compiled 6750 to 4444 computations (34.2% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.9b	(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) 3))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sin-diff_binary64` `div-sub_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 41

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) 3))

series179.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
43.0ms	(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) 3))

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5436	741

prune582.0ms (2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	50	18	68

Merged error: 23.4b

Counts

68 → 18

Compiler

Compiled 12491 to 8544 computations (31.6% saved)

regimes1.1s (4%)

Compiler: Compiled 17356 to 12712 computations (26.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	103
1	117	103

end0.0ms (0%)

sample16.6s (58.3%)

Algorithm

1×

intervals

Results

11.2s	5302×	body	1024	valid
1.6s	398×	body	2048	valid
1.6s	1253×	body	512	valid
308.0ms	398×	body	256	valid
221.0ms	649×	body	128	valid
4.0ms	2×	body	1024	invalid

Compiler

Compiled 1538 to 1123 computations (27% saved)

Details

analyze6.4s (22.5%)

sample478.0ms (1.7%)

simplify104.0ms (0.4%)

prune6.0ms (0%)

localize39.0ms (0.1%)

rewrite30.0ms (0.1%)

series152.0ms (0.5%)

simplify154.0ms (0.5%)

prune576.0ms (2%)

localize40.0ms (0.1%)

rewrite35.0ms (0.1%)

series153.0ms (0.5%)

simplify80.0ms (0.3%)

prune850.0ms (3%)

localize41.0ms (0.1%)

rewrite29.0ms (0.1%)

series170.0ms (0.6%)

simplify154.0ms (0.5%)

prune308.0ms (1.1%)

localize48.0ms (0.2%)

rewrite31.0ms (0.1%)

series179.0ms (0.6%)

simplify76.0ms (0.3%)

prune582.0ms (2%)

regimes1.1s (4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample16.6s (58.3%)

Profiling