Details

sample941.0ms

Algorithm

intervals

Results

656.0ms	159×	body	1280	valid
202.0ms	66×	body	640	valid
29.0ms	18×	body	320	valid
6.0ms	12×	body	80	valid
2.0ms	2×	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

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.5b

localize112.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))

rewrite37.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))

series149.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
6	2350
5	868
4	402
3	191
2	101
1	59
0	35

prune1.9s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.0b

localize102.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))
6.1b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite66.0ms

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` `insert-posit16` `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 → 47

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
8.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series150.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify2.7s

Counts

59 → 59

Iterations

Iter	Nodes
6	2894
5	1213
4	608
3	285
2	144
1	86
0	55

prune2.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.0b

localize133.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(log (exp (sin (/ (- lambda1 lambda2) 2))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `div-sub` `add-exp-log` `log-pow` `sin-diff` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 52

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
25.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

simplify2.3s

Counts

64 → 64

Iterations

Iter	Nodes
6	3241
5	1191
4	544
3	268
2	156
1	101
0	64

prune2.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.0b

localize143.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))

rewrite59.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))

series149.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- lambda1 lambda2) 2))
38.0ms	(sin (/ (- lambda1 lambda2) 2))
43.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
6	2350
5	868
4	402
3	191
2	101
1	59
0	35

prune1.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 23.0b

regimes2.4s

Accuracy

0% (0.6b remaining)

Error of 24.2b against oracle of 23.5b and baseline of 24.2b

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
2	40
1	40
0	31

end0.0ms

sample27.4s

Algorithm

intervals

Results

18.6s	4689×	body	1280	valid
5.9s	2001×	body	640	valid
1.8s	550×	body	320	valid
312.0ms	559×	body	80	valid
304.0ms	203×	body	160	valid
3.0ms	1×	body	640	nan
2.0ms	1×	body	320	nan
1.0ms	1×	body	160	nan