Details

sample74.0ms

Algorithm

intervals

Results

21.0ms	48×	body	1280	valid
20.0ms	22×	body	2560	valid
7.0ms	131×	body	80	valid
7.0ms	26×	body	640	valid
3.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 35.8b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

6.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.6b	(sin (/ x (* y 2.0)))
28.7b	(tan (/ x (* y 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1751	413
3	5002	413

prune260.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	38	14	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	14	53

Merged error: 26.5b

Counts

53 → 14

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune52.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Merged error: 26.5b

Counts

14 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
28.1b	(cos (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `associate-/r/` `sin-cos-mult` `cbrt-unprod` `div-inv`

Counts

4 → 43

Calls

4 calls:

7.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
10.0ms	(cos (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	147	493
1	478	347
2	2436	345
3	5001	339

prune242.0ms

Filtered

55 candidates to 45 candidates (81.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	6	6	12
Picked	1	0	1
Done	0	1	1
Total	53	16	69

Merged error: 26.4b

Counts

69 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cbrt (pow (cos (/ x (* y 2.0))) 3))))
28.1b	(cos (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 42

Calls

4 calls:

8.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cbrt (pow (cos (/ x (* y 2.0))) 3))))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cbrt (pow (cos (/ x (* y 2.0))) 3))))
10.0ms	(cos (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	143	500
1	467	353
2	2434	344
3	5002	336

prune209.0ms

Filtered

54 candidates to 45 candidates (83.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	4	10	14
Picked	1	0	1
Done	0	1	1
Total	53	17	70

Merged error: 26.4b

Counts

70 → 17

regimes521.0ms

Accuracy

0% (2.3b remaining)

Error of 28.6b against oracle of 26.3b and baseline of 28.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.1s

Algorithm

intervals

Results

614.0ms	676×	body	2560	valid
608.0ms	1399×	body	1280	valid
248.0ms	947×	body	640	valid
235.0ms	4084×	body	80	valid
113.0ms	589×	body	320	valid
46.0ms	305×	body	160	valid

Details

sample74.0ms

simplify6.0ms

prune4.0ms

localize11.0ms

rewrite10.0ms

series86.0ms

simplify64.0ms

prune260.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune52.0ms

localize11.0ms

rewrite14.0ms

series46.0ms

simplify85.0ms

prune242.0ms

localize18.0ms

rewrite16.0ms

series46.0ms

simplify76.0ms

prune209.0ms

regimes521.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling