Details

analyze6.4s (23.7%)

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

sample560.0ms (2.1%)

Algorithm

1×

intervals

Results

407.0ms	157×	body	1280	valid
107.0ms	65×	body	640	valid
15.0ms	14×	body	320	valid
5.0ms	16×	body	80	valid
3.0ms	4×	body	160	valid

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4860	65
1	4860	65

prune11.0ms (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: 26.5b

Counts

2 → 1

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

rewrite22.0ms (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) 2.0))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

series27.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

simplify136.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4836	396
1	4836	396

prune195.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	31	13	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	13	45

Merged error: 25.8b

Counts

45 → 13

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))

rewrite24.0ms (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:

6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

series27.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4793	524
1	4793	524

prune242.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	56	14	70

Merged error: 25.8b

Counts

70 → 14

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))

rewrite25.0ms (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	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

series27.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4793	524
1	4793	524

prune244.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	57	14	71

Merged error: 25.7b

Counts

71 → 14

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
7.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3)) 3))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

10.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3)) 3))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

series30.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3)) 3))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4853	1016
1	4853	1016

prune285.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	94	14	108

Merged error: 25.7b

Counts

108 → 14

regimes1.1s (4.2%)

Accuracy

Total 0.5b remaining (2.2%)

Threshold costs 0.5b (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	131	71
1	131	71

end0.0ms (0%)

sample17.1s (63.4%)

Algorithm

1×

intervals

Results

12.7s	4811×	body	1280	valid
3.0s	1868×	body	640	valid
614.0ms	554×	body	320	valid
177.0ms	567×	body	80	valid
138.0ms	200×	body	160	valid
2.0ms	1×	body	1280	invalid

Details

analyze6.4s (23.7%)

sample560.0ms (2.1%)

simplify63.0ms (0.2%)

prune11.0ms (0%)

localize38.0ms (0.1%)

rewrite22.0ms (0.1%)

series27.0ms (0.1%)

simplify136.0ms (0.5%)

prune195.0ms (0.7%)

localize41.0ms (0.2%)

rewrite24.0ms (0.1%)

series27.0ms (0.1%)

simplify83.0ms (0.3%)

prune242.0ms (0.9%)

localize44.0ms (0.2%)

rewrite25.0ms (0.1%)

series27.0ms (0.1%)

simplify77.0ms (0.3%)

prune244.0ms (0.9%)

localize42.0ms (0.2%)

rewrite31.0ms (0.1%)

series30.0ms (0.1%)

simplify72.0ms (0.3%)

prune285.0ms (1.1%)

regimes1.1s (4.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample17.1s (63.4%)

Profiling