Details

sample477.0ms

Algorithm

intervals

Results

321.0ms	159×	body	1280	valid
85.0ms	48×	body	640	valid
20.0ms	22×	body	320	valid
4.0ms	22×	body	80	valid
4.0ms	5×	body	160	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	4198
6	1145
5	472
4	297
3	172
2	95
1	56
0	26

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.8b

localize117.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite44.0ms

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` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series200.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.5s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
6	1956
5	632
4	303
3	169
2	91
1	55
0	32

prune813.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.4b

localize186.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite79.0ms

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` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
26.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series219.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify2.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
6	1950
5	769
4	407
3	234
2	144
1	93
0	58

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.4b

localize194.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
4.7b	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2.0)))))
4.7b	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2.0)))))

rewrite503.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log` `sqrt-prod`
4×	`add-cbrt-cube` `div-sub` `sin-diff` `add-log-exp`
2×	`log-div` `pow1/2` `exp-diff` `sqrt-div` `rem-log-exp`

Counts

4 → 58

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2.0)))))
415.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2.0)))))

series490.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
186.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2.0)))))
199.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2.0)))))

simplify4.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5005
6	4123
5	1416
4	647
3	356
2	198
1	126
0	80

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.3b

localize175.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
6.8b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `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 → 35

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify3.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
6	2381
5	982
4	488
3	260
2	132
1	79
0	50

prune752.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.3b

regimes2.8s

Accuracy

0% (0.6b remaining)

Error of 25.1b against oracle of 24.5b and baseline of 25.1b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	46
1	46
0	36

end0.0ms

sample20.9s

Algorithm

intervals

Results

14.0s	4765×	body	1280	valid
3.6s	1894×	body	640	valid
1.4s	563×	body	320	valid
624.0ms	566×	body	80	valid
622.0ms	217×	body	160	valid
1.0ms	1×	body	320	nan