Details

sample1.3s

Algorithm

intervals

Results

617.0ms	169×	body	1280	valid
537.0ms	44×	body	640	valid
67.0ms	17×	body	320	valid
9.0ms	21×	body	80	valid
5.0ms	5×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2020
7	2020
6	985
5	580
4	386
3	195
2	107
1	58
0	26

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize114.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))

rewrite45.0ms

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))
10.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))

series181.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sin (/ (- lambda1 lambda2) 2))
48.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	2000
6	2000
5	826
4	394
3	188
2	101
1	59
0	35

prune985.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.8b

localize162.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
7.0b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite95.0ms

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))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
10.0ms	(sin (/ (- lambda1 lambda2) 2))
70.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sin (/ (- lambda1 lambda2) 2))
45.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.9s

Counts

59 → 59

Iterations

Iter	Nodes
done	2082
7	2082
6	1917
5	927
4	547
3	273
2	145
1	86
0	55

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.8b

localize178.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
7.0b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite71.0ms

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))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series171.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.9s

Counts

59 → 59

Iterations

Iter	Nodes
done	2082
7	2082
6	1917
5	927
4	547
3	273
2	145
1	86
0	55

prune856.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.8b

localize107.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

11.0ms	(sin (/ (- lambda1 lambda2) 2))
16.0ms	(sin (/ (- lambda1 lambda2) 2))
8.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))

series155.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	2000
6	2000
5	826
4	394
3	188
2	101
1	59
0	35

prune831.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 25.7b

regimes6.0s

Accuracy

0% (0.7b remaining)

Error of 24.1b against oracle of 23.4b and baseline of 24.1b

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	52
1	52
0	43

end0.0ms

sample24.7s

Algorithm

intervals

Results

18.0s	4725×	body	1280	valid
4.9s	1934×	body	640	valid
892.0ms	546×	body	320	valid
264.0ms	608×	body	80	valid
186.0ms	189×	body	160	valid