Details

sample717.0ms

Algorithm

intervals

Results

519.0ms	145×	body	1280	valid
124.0ms	64×	body	640	valid
28.0ms	22×	body	320	valid
8.0ms	19×	body	80	valid
4.0ms	6×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
7	3351
6	1061
5	561
4	344
3	180
2	105
1	56
0	26

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.6b

localize125.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- lambda1 lambda2) 2))

series160.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.5s

Counts

52 → 52

Iterations

Iter	Nodes
6	2265
5	830
4	401
3	192
2	100
1	58
0	34

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.2b

localize164.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
8.0b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `pow3` `associate-*l/` `rem-cbrt-cube` `sin-mult`

Counts

4 → 43

Calls

4 calls:

12.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- lambda1 lambda2) 2))
11.0ms	(sin (/ (- lambda1 lambda2) 2))
62.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series155.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2))
45.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
38.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify2.1s

Counts

55 → 55

Iterations

Iter	Nodes
6	2849
5	1217
4	612
3	283
2	142
1	84
0	53

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.1b

localize130.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

11.0ms	(sin (/ (- lambda1 lambda2) 2))
11.0ms	(sin (/ (- lambda1 lambda2) 2))
11.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- lambda1 lambda2) 2))

series194.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2))
47.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))
47.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.3s

Counts

52 → 52

Iterations

Iter	Nodes
6	2265
5	830
4	401
3	192
2	100
1	58
0	34

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.1b

localize139.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
8.0b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `pow3` `associate-*l/` `rem-cbrt-cube` `sin-mult`

Counts

4 → 43

Calls

4 calls:

12.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- lambda1 lambda2) 2))
11.0ms	(sin (/ (- lambda1 lambda2) 2))
61.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- lambda1 lambda2) 2))
48.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify2.1s

Counts

55 → 55

Iterations

Iter	Nodes
6	2849
5	1217
4	612
3	283
2	142
1	84
0	53

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.1b

regimes3.4s

Accuracy

0% (0.6b remaining)

Error of 24.2b against oracle of 23.6b and baseline of 24.2b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
2	40
1	40
0	34

end0.0ms

sample27.2s

Algorithm

intervals

Results

19.8s	4755×	body	1280	valid
5.6s	1966×	body	640	valid
934.0ms	544×	body	320	valid
259.0ms	550×	body	80	valid
167.0ms	188×	body	160	valid