Details

sample960.0ms

Algorithm

intervals

Results

649.0ms	160×	body	1280	valid
187.0ms	58×	body	640	valid
26.0ms	16×	body	320	valid
8.0ms	15×	body	80	valid
7.0ms	7×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
7	2005
6	829
5	453
4	319
3	192
2	102
1	58
0	26

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.3b

localize137.0ms

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))

rewrite65.0ms

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 (/ (- phi1 phi2) 2))
25.0ms	(sin (/ (- phi1 phi2) 2))

series194.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- lambda1 lambda2) 2))
58.0ms	(sin (/ (- phi1 phi2) 2))
56.0ms	(sin (/ (- phi1 phi2) 2))

simplify1.7s

Counts

48 → 48

Iterations

Iter	Nodes
done	2024
6	2024
5	1108
4	554
3	315
2	175
1	104
0	62

prune872.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.8b

localize178.0ms

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))

rewrite58.0ms

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 (/ (- phi1 phi2) 2))
14.0ms	(sin (/ (- phi1 phi2) 2))

series198.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sin (/ (- lambda1 lambda2) 2))
41.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(sin (/ (- phi1 phi2) 2))
54.0ms	(sin (/ (- phi1 phi2) 2))

simplify1.6s

Counts

48 → 48

Iterations

Iter	Nodes
done	2024
6	2024
5	1108
4	554
3	315
2	175
1	104
0	62

prune949.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.8b

localize208.0ms

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))))

rewrite77.0ms

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:

12.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- phi1 phi2) 2))
12.0ms	(sin (/ (- phi1 phi2) 2))
40.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2))
41.0ms	(sin (/ (- phi1 phi2) 2))
46.0ms	(sin (/ (- phi1 phi2) 2))
44.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.5s

Counts

51 → 51

Iterations

Iter	Nodes
done	2001
6	2001
5	1405
4	763
3	411
2	217
1	129
0	80

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 22.8b

localize200.0ms

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))
4.7b	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))

rewrite45.0ms

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` `sin-mult`

Counts

4 → 38

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))
10.0ms	(sin (/ (- phi1 phi2) 2))
8.0ms	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))

series641.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- phi1 phi2) 2))
38.0ms	(sin (/ (- phi1 phi2) 2))
528.0ms	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))

simplify1.2s

Counts

50 → 50

Iterations

Iter	Nodes
done	2003
4	2003
3	973
2	366
1	188
0	101

prune851.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 22.8b

regimes4.4s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	45
1	45
0	35

end0.0ms

sample27.7s

Algorithm

intervals

Results

19.9s	4821×	body	1280	valid
5.8s	1879×	body	640	valid
945.0ms	509×	body	320	valid
365.0ms	223×	body	160	valid
275.0ms	571×	body	80	valid
3.0ms	2×	body	640	nan