Details

sample1.3s

Algorithm

intervals

Results

1.0s	160×	body	1280	valid
174.0ms	58×	body	640	valid
26.0ms	16×	body	320	valid
7.0ms	7×	body	160	valid
7.0ms	15×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.2b

localize144.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- phi1 phi2) 2))
3.6b	(sin (/ (- phi1 phi2) 2))

rewrite54.0ms

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))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))

series184.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2))
43.0ms	(sin (/ (- lambda1 lambda2) 2))
47.0ms	(sin (/ (- phi1 phi2) 2))
50.0ms	(sin (/ (- phi1 phi2) 2))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	2040
6	2040
5	1457
4	722
3	347
2	195
1	112
0	66

prune1000.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 22.8b

localize119.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- phi1 phi2) 2))
3.6b	(sin (/ (- phi1 phi2) 2))

rewrite53.0ms

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:

15.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- phi1 phi2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))

series168.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- phi1 phi2) 2))
54.0ms	(sin (/ (- phi1 phi2) 2))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	2040
6	2040
5	1457
4	722
3	347
2	195
1	112
0	66

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 22.8b

localize133.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- phi1 phi2) 2))
3.6b	(sin (/ (- phi1 phi2) 2))
8.4b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite72.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))
49.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- phi1 phi2) 2))
48.0ms	(sin (/ (- phi1 phi2) 2))
48.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.9s

Counts

59 → 59

Iterations

Iter	Nodes
done	2007
6	2007
5	1755
4	925
3	442
2	239
1	139
0	86

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 22.7b

localize193.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- phi1 phi2) 2))
3.6b	(sin (/ (- phi1 phi2) 2))

rewrite31.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series177.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(sin (/ (- phi1 phi2) 2))
42.0ms	(sin (/ (- phi1 phi2) 2))

simplify1.9s

Counts

56 → 56

Iterations

Iter	Nodes
done	2040
6	2040
5	1457
4	722
3	347
2	195
1	112
0	66

prune953.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 22.7b

regimes4.4s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	45
1	45
0	36

end0.0ms

sample29.5s

Algorithm

intervals

Results

21.5s	4821×	body	1280	valid
6.0s	1879×	body	640	valid
860.0ms	509×	body	320	valid
338.0ms	571×	body	80	valid
236.0ms	223×	body	160	valid
4.0ms	2×	body	640	nan