Details

analyze24.2s

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 3.015137%

sample618.0ms

Algorithm

intervals

Results

488.0ms	182×	body	1280	valid
73.0ms	39×	body	640	valid
20.0ms	17×	body	320	valid
5.0ms	15×	body	80	valid
3.0ms	1×	body	1280	invalid
2.0ms	3×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	38
1	98	38
2	182	38
3	309	38
4	609	38
5	2169	38
6	5001	38

prune9.0ms

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: 26.3b

Counts

2 → 1

localize39.0ms

Local error

Found 4 expressions with local error:

4.7b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify198.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune292.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	35	9	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	9	45

Merged error: 25.7b

Counts

45 → 9

localize44.0ms

Local error

Found 4 expressions with local error:

4.7b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

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

series22.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify85.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (75.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	282

prune348.0ms

Filtered

44 candidates to 57 candidates (-29.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	54	12	66

Merged error: 25.7b

Counts

66 → 12

localize46.0ms

Local error

Found 4 expressions with local error:

4.7b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (pow (* (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cube-mult` `unpow-prod-down` `pow1/3` `unpow3` `cube-prod` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 41

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
3.0ms	(cbrt (pow (* (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

series25.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (* (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

simplify116.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 4 (111.0ms)

Iter	Nodes	Cost
0	106	323
1	285	291
2	815	291
3	4079	291
4	5001	290

prune441.0ms

Filtered

44 candidates to 53 candidates (-20.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	48	17	65

Merged error: 25.7b

Counts

65 → 17

localize65.0ms

Local error

Found 4 expressions with local error:

4.7b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (pow (* (pow (cbrt (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cube-mult` `unpow-prod-down` `pow1/3` `unpow3` `cube-prod` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 41

Calls

4 calls:

4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(cbrt (pow (* (pow (cbrt (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

series92.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
75.0ms	(cbrt (pow (* (pow (cbrt (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	180	720
1	539	692
2	1846	678
3	5001	674

prune377.0ms

Filtered

46 candidates to 53 candidates (-15.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	50	20	70

Merged error: 25.6b

Counts

70 → 20

regimes2.7s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	54
1	57	54

end0.0ms

analyze24.1s

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 3.015137%

sample17.7s

Algorithm

intervals

Results

13.0s	4802×	body	1280	valid
3.3s	1882×	body	640	valid
676.0ms	562×	body	320	valid
182.0ms	549×	body	80	valid
158.0ms	205×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze24.2s

sample618.0ms

simplify77.0ms

prune9.0ms

localize39.0ms

rewrite20.0ms

series22.0ms

simplify198.0ms

prune292.0ms

localize44.0ms

rewrite21.0ms

series22.0ms

simplify85.0ms

prune348.0ms

localize46.0ms

rewrite19.0ms

series25.0ms

simplify116.0ms

prune441.0ms

localize65.0ms

rewrite20.0ms

series92.0ms

simplify60.0ms

prune377.0ms

regimes2.7s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze24.1s

sample17.7s

Profiling