Details

sample846.0ms

Algorithm

intervals

Results

624.0ms	150×	body	1280	valid
140.0ms	59×	body	640	valid
29.0ms	19×	body	320	valid
10.0ms	24×	body	80	valid
3.0ms	4×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2642
6	985
5	580
4	386
3	195
2	107
1	58
0	26

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.6b

localize75.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))

rewrite153.0ms

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:

37.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))

series178.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	2187
5	826
4	394
3	188
2	101
1	59
0	35

prune841.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 22.3b

localize114.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))

rewrite154.0ms

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:

27.0ms	(sin (/ (- lambda1 lambda2) 2))
27.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- lambda1 lambda2) 2))

series152.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	2187
5	826
4	394
3	188
2	101
1	59
0	35

prune908.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 22.3b

localize102.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))

rewrite118.0ms

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:

31.0ms	(sin (/ (- lambda1 lambda2) 2))
27.0ms	(sin (/ (- lambda1 lambda2) 2))
30.0ms	(sin (/ (- lambda1 lambda2) 2))
28.0ms	(sin (/ (- lambda1 lambda2) 2))

series184.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2))
47.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.9s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	2187
5	826
4	394
3	188
2	101
1	59
0	35

prune904.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.3b

localize164.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
8.2b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite610.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
7×	`unswap-sqr`
6×	`associate-r`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `swap-sqr` `add-exp-log` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `sin-diff`
2×	`pow3` `rem-cbrt-cube`
1×	`cbrt-div` `pow1/3` `associate-*l/` `sin-mult`

Counts

4 → 75

Calls

4 calls:

55.0ms	(sin (/ (- lambda1 lambda2) 2))
48.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- lambda1 lambda2) 2))
471.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- lambda1 lambda2) 2))
41.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify3.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
5	2475
4	1544
3	805
2	396
1	189
0	105

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 22.3b

regimes3.8s

Accuracy

0% (0.5b remaining)

Error of 23.7b against oracle of 23.2b and baseline of 23.7b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	43
1	43
0	36

end0.0ms

sample27.7s

Algorithm

intervals

Results

18.1s	4670×	body	1280	valid
7.4s	1927×	body	640	valid
1.3s	568×	body	320	valid
319.0ms	638×	body	80	valid
228.0ms	202×	body	160	valid
2.0ms	1×	body	640	nan
1.0ms	1×	body	160	nan