Details

sample849.0ms

Algorithm

intervals

Results

590.0ms	159×	body	1280	valid
188.0ms	66×	body	640	valid
25.0ms	18×	body	320	valid
5.0ms	12×	body	80	valid
1.0ms	2×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
7	2745
6	876
5	433
4	291
3	175
2	100
1	56
0	26

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.5b

localize91.0ms

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))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- lambda1 lambda2) 2))

series164.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.1s

Counts

48 → 48

Iterations

Iter	Nodes
6	2028
5	669
4	312
3	172
2	91
1	55
0	33

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.0b

localize151.0ms

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))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
17.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
19.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
48.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

simplify1.5s

Counts

56 → 56

Iterations

Iter	Nodes
6	2841
5	1040
4	459
3	252
2	144
1	93
0	60

prune1.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.0b

localize149.0ms

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))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `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 → 39

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
59.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series162.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.5s

Counts

51 → 51

Iterations

Iter	Nodes
6	2535
5	1021
4	501
3	265
2	132
1	80
0	51

prune1.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.0b

localize182.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2))
2.0b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(log (exp (sin (/ (- lambda1 lambda2) 2))))
6.1b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `add-log-exp`
3×	`log-prod` `exp-prod` `div-sub` `sin-diff`
1×	`cbrt-prod` `log-div` `cbrt-div` `exp-diff` `pow1/3` `rem-log-exp` `pow3` `associate-*l/` `rem-cbrt-cube` `sin-mult`

Counts

4 → 47

Calls

4 calls:

9.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
20.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))
54.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))
55.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))
51.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify2.6s

Counts

59 → 59

Iterations

Iter	Nodes
6	3467
5	1298
4	619
3	329
2	183
1	118
0	78

prune2.1s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 23.0b

regimes4.0s

Accuracy

0% (0.6b remaining)

Error of 24.1b against oracle of 23.5b and baseline of 24.1b

bsearch0.0ms

simplify27.0ms

Iterations

Iter	Nodes
2	45
1	45
0	35

end0.0ms

sample26.5s

Algorithm

intervals

Results

18.7s	4689×	body	1280	valid
5.0s	2001×	body	640	valid
1.7s	550×	body	320	valid
316.0ms	559×	body	80	valid
193.0ms	203×	body	160	valid
1.0ms	1×	body	640	nan
1.0ms	1×	body	160	nan
1.0ms	1×	body	320	nan