Details

sample277.0ms

Algorithm

intervals

Results

191.0ms	152×	body	1280	valid
50.0ms	68×	body	640	valid
8.0ms	17×	body	320	valid
2.0ms	14×	body	80	valid
2.0ms	5×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	169	65
4	310	65
5	529	65
6	1411	65
7	4752	65
done	5000	65

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize34.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite25.0ms

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))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series145.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.7s

Counts

44 → 44

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	158	396
4	304	396
5	737	396
6	2890	396
done	5000	396

prune368.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.3b

localize41.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(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` `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))

series145.0ms

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

simplify918.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	59	711
1	106	574
2	221	530
3	542	530
4	1831	530
done	5001	530

prune449.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.3b

localize49.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (* (cbrt (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

rewrite18.0ms

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))
2.0ms	(cbrt (pow (* (cbrt (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

series152.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(cbrt (pow (* (cbrt (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

simplify2.9s

Counts

53 → 53

Iterations

Useful iterations: 5 (1.1s)

Iter	Nodes	Cost
0	61	923
1	109	785
2	255	577
3	567	508
4	1518	488
5	4952	479
done	5000	479

prune546.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 24.3b

localize62.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (* (cbrt (pow (cbrt (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

rewrite21.0ms

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))
5.0ms	(cbrt (pow (* (cbrt (pow (cbrt (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

series551.0ms

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))
441.0ms	(cbrt (pow (* (cbrt (pow (cbrt (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

simplify1.8s

Counts

53 → 53

Iterations

Useful iterations: 4 (634.0ms)

Iter	Nodes	Cost
0	90	1343
1	182	1189
2	457	1133
3	1203	1125
4	4378	1119
done	5000	1119

prune586.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 24.2b

regimes1.9s

Accuracy

0% (0.7b remaining)

Error of 24.8b against oracle of 24.1b and baseline of 24.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	153
1	60	153
done	60	153

end0.0ms

sample8.1s

Algorithm

intervals

Results

5.8s	4742×	body	1280	valid
1.5s	1995×	body	640	valid
282.0ms	526×	body	320	valid
81.0ms	551×	body	80	valid
74.0ms	188×	body	160	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	320	nan