Details

sample289.0ms

Algorithm

intervals

Results

192.0ms	149×	body	1280	valid
55.0ms	69×	body	640	valid
8.0ms	20×	body	80	valid
7.0ms	13×	body	320	valid
2.0ms	5×	body	160	valid

simplify84.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize35.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite22.0ms

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))

series154.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(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

prune467.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.0b

localize41.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
8.3b	(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))

series148.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (79.0ms)

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

prune542.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.0b

localize45.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
8.3b	(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))

series149.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (79.0ms)

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

prune600.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.0b

localize48.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite22.0ms

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))

series156.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify68.0ms

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

prune421.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.0b

regimes1.1s

Accuracy

0% (0.5b remaining)

Error of 24.0b against oracle of 23.5b and baseline of 24.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	42
1	40	42

end0.0ms

sample8.7s

Algorithm

intervals

Results

6.3s	4769×	body	1280	valid
1.6s	1918×	body	640	valid
298.0ms	540×	body	320	valid
95.0ms	552×	body	80	valid
89.0ms	223×	body	160	valid