Details

sample273.0ms

Algorithm

intervals

Results

191.0ms	165×	body	1280	valid
40.0ms	54×	body	640	valid
12.0ms	15×	body	320	valid
2.0ms	7×	body	160	valid
2.0ms	15×	body	80	valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	38
1	102	38
2	191	38
3	377	38
4	776	38
5	2500	38
6	5002	38

prune6.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 23.4b

Counts

2 → 1

localize40.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series145.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	58	276
1	99	248
2	212	248
3	467	248
4	1459	248
5	5002	248

prune436.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	40	12	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	12	53

Merged error: 22.7b

Counts

53 → 12

localize41.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series142.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	58	276
1	99	248
2	212	248
3	467	248
4	1459	248
5	5002	248

prune494.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	51	13	64

Merged error: 22.7b

Counts

64 → 13

localize41.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 53

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))

series146.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify86.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	112	341
1	294	341
2	811	341
3	3181	341
4	5001	314

prune535.0ms

Filtered

65 candidates to 52 candidates (80.0%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	57	8	65
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	63	15	78

Merged error: 22.7b

Counts

78 → 15

localize43.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (* (pow (cbrt (sin (/ (- lambda1 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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 49

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))

series148.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(cbrt (pow (* (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

simplify126.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (120.0ms)

Iter	Nodes	Cost
0	112	349
1	297	321
2	835	321
3	4223	321
4	5002	320

prune471.0ms

Filtered

61 candidates to 52 candidates (85.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	54	7	61
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	58	18	76

Merged error: 22.7b

Counts

76 → 18

regimes1.6s

Accuracy

0% (0.6b remaining)

Error of 23.7b against oracle of 23.1b and baseline of 23.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	55
1	56	55

end0.0ms

sample7.9s

Algorithm

intervals

Results

5.7s	4811×	body	1280	valid
1.4s	1919×	body	640	valid
271.0ms	524×	body	320	valid
83.0ms	573×	body	80	valid
62.0ms	173×	body	160	valid