Details

sample266.0ms

Algorithm

intervals

Results

186.0ms	152×	body	1280	valid
42.0ms	59×	body	640	valid
10.0ms	19×	body	320	valid
3.0ms	8×	body	160	valid
2.0ms	18×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	170	65
4	314	65
5	557	65
6	1739	65
done	5000	65

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize34.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series144.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.8s

Counts

44 → 44

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	175	396
4	365	396
5	1060	396
6	3881	396
done	5000	396

prune359.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.0b

localize39.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.2b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify890.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	58	568
1	92	533
2	151	470
3	285	470
4	580	470
5	1691	470
done	5001	470

prune440.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 27.0b

localize44.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.2b	(log (exp (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))))
7.5b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
16×	`log-pow`
15×	`exp-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`log-prod`
2×	`cube-mult` `unpow3` `div-sub` `sin-diff` `sqr-pow`
1×	`pow1/3` `rem-log-exp` `rem-cbrt-cube`

Counts

4 → 64

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
23.0ms	(log (exp (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series145.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(log (exp (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))))
38.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.6s

Counts

76 → 76

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	98	1017
1	157	735
2	321	664
3	753	664
4	2908	664
done	5000	664

prune547.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 27.0b

localize50.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.2b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
5.2b	(log (exp (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))))
7.5b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
20×	`log-pow`
18×	`exp-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `unpow-prod-down` `log-prod` `cube-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`cube-mult` `unpow3` `div-sub` `rem-log-exp` `sin-diff` `sqr-pow`
1×	`log-div` `exp-diff` `pow1/3` `rem-cbrt-cube`

Counts

4 → 72

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
24.0ms	(log (exp (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series142.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
37.0ms	(log (exp (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	120	1133
1	188	815
2	370	733
3	821	733
4	3057	733
done	5000	733

prune554.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 27.0b

regimes1.1s

Accuracy

0% (0.6b remaining)

Error of 24.6b against oracle of 24.1b and baseline of 24.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	72
1	45	72
done	45	72

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.9s	4759×	body	1280	valid
1.4s	1844×	body	640	valid
306.0ms	567×	body	320	valid
85.0ms	625×	body	80	valid
66.0ms	206×	body	160	valid