Details

analyze6.4s

Algorithm

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

sample565.0ms

Algorithm

intervals

Results

416.0ms	157×	body	1280	valid
103.0ms	65×	body	640	valid
15.0ms	14×	body	320	valid
5.0ms	16×	body	80	valid
3.0ms	4×	body	160	valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4808	65
1	4808	65

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize33.0ms

Local error

Found 4 expressions with local error:

4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite24.0ms

Algorithm

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:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series25.0ms

Counts

4 → 12

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))

simplify132.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4736	396
1	4736	396

prune174.0ms

Filtered

36 candidates to 44 candidates (-22.2%)

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

Local error

Found 4 expressions with local error:

4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite23.0ms

Algorithm

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:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

series26.0ms

Counts

4 → 12

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

simplify78.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4782	524
1	4782	524

prune186.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

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

localize48.0ms

Local error

Found 4 expressions with local error:

4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite24.0ms

Algorithm

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:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

series25.0ms

Counts

4 → 12

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

simplify76.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4782	524
1	4782	524

prune189.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

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

localize44.0ms

Local error

Found 4 expressions with local error:

4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
7.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))

rewrite29.0ms

Algorithm

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:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
9.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))

series26.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4795	1016
1	4795	1016

prune108.0ms

Filtered

41 candidates to 94 candidates (-129.3%)

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

Accuracy

0% (0.5b remaining)

Error of 24.4b against oracle of 23.8b and baseline of 24.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	131	71
1	131	71

end0.0ms

sample17.4s

Algorithm

intervals

Results

12.9s	4811×	body	1280	valid
3.1s	1868×	body	640	valid
650.0ms	554×	body	320	valid
181.0ms	567×	body	80	valid
147.0ms	200×	body	160	valid
3.0ms	1×	body	1280	invalid

Details

analyze6.4s

sample565.0ms

simplify97.0ms

prune11.0ms

localize33.0ms

rewrite24.0ms

series25.0ms

simplify132.0ms

prune174.0ms

localize41.0ms

rewrite23.0ms

series26.0ms

simplify78.0ms

prune186.0ms

localize48.0ms

rewrite24.0ms

series25.0ms

simplify76.0ms

prune189.0ms

localize44.0ms

rewrite29.0ms

series26.0ms

simplify62.0ms

prune108.0ms

regimes1.1s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample17.4s

Profiling