Details

sample513.0ms

Algorithm

intervals

Results

364.0ms	148×	body	1280	valid
88.0ms	57×	body	640	valid
26.0ms	25×	body	320	valid
6.0ms	21×	body	80	valid
3.0ms	5×	body	160	valid

simplify76.0ms

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

prune8.0ms

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: 24.6b

Counts

2 → 1

localize39.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite21.0ms

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))
5.0ms	(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))

simplify196.0ms

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

prune318.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

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: 23.9b

Counts

45 → 13

localize40.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify66.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	91	298
1	150	260
2	292	260
3	578	260
4	1948	260
5	5001	260

prune317.0ms

Filtered

43 candidates to 52 candidates (-20.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	53	12	65

Merged error: 23.9b

Counts

65 → 12

localize42.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
9.3b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite20.0ms

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:

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 (sin (/ (- lambda1 lambda2) 2.0)) 3))

series22.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify81.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (76.0ms)

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

prune368.0ms

Filtered

44 candidates to 57 candidates (-29.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	53	16	69

Merged error: 23.9b

Counts

69 → 16

localize45.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
9.3b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
9.3b	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
10.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

series22.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify100.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 4 (90.0ms)

Iter	Nodes	Cost
0	210	624
1	401	620
2	1016	620
3	3784	620
4	5001	548

prune249.0ms

Filtered

46 candidates to 94 candidates (-104.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	94	16	110

Merged error: 23.9b

Counts

110 → 16

regimes1.6s

Accuracy

0% (0.6b remaining)

Error of 23.8b against oracle of 23.3b and baseline of 23.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	40
1	38	40

end0.0ms

sample16.5s

Algorithm

intervals

Results

12.0s	4766×	body	1280	valid
3.1s	1917×	body	640	valid
606.0ms	574×	body	320	valid
157.0ms	546×	body	80	valid
131.0ms	199×	body	160	valid

Details

sample513.0ms

simplify76.0ms

prune8.0ms

localize39.0ms

rewrite21.0ms

series22.0ms

simplify196.0ms

prune318.0ms

localize40.0ms

rewrite22.0ms

series22.0ms

simplify66.0ms

prune317.0ms

localize42.0ms

rewrite20.0ms

series22.0ms

simplify81.0ms

prune368.0ms

localize45.0ms

rewrite29.0ms

series22.0ms

simplify100.0ms

prune249.0ms

regimes1.6s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample16.5s

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