Details

analyze751.0ms

Algorithm: search

sample76.0ms

Algorithm

intervals

Results

23.0ms	47×	body	1280	valid
14.0ms	15×	body	2560	valid
13.0ms	42×	body	640	valid
9.0ms	131×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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: 37.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

8.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(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)))

series31.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

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

prune192.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

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: 26.4b

Counts

53 → 14

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune71.0ms

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: 26.4b

Counts

14 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

8.7b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
28.1b	(cos (/ x (* y 2.0)))
28.5b	(sin (/ x (* y 2.0)))
28.5b	(sin (/ x (* y 2.0)))

rewrite13.0ms

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)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
6.0ms	(cos (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (69.0ms)

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

prune160.0ms

Filtered

45 candidates to 55 candidates (-22.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	5	7	12
Picked	0	1	1
Done	0	1	1
Total	52	17	69

Merged error: 26.4b

Counts

69 → 17

localize16.0ms

Local error

Found 4 expressions with local error:

28.1b	(cos (/ x (* y 2.0)))
28.1b	(cos (/ x (* y 2.0)))
28.5b	(sin (/ x (* y 2.0)))
28.5b	(sin (/ x (* y 2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

2.0ms	(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)))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(cos (/ x (* y 2.0)))
4.0ms	(cos (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	53	188
1	114	160
2	315	160
3	1342	160
4	5001	160

prune132.0ms

Filtered

36 candidates to 40 candidates (-11.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	30	10	40
Fresh	5	9	14
Picked	1	0	1
Done	1	1	2
Total	37	20	57

Merged error: 26.3b

Counts

57 → 20

regimes698.0ms

Accuracy

35.8% (1.6b remaining)

Error of 28.4b against oracle of 26.8b and baseline of 29.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	40
1	26	40

end0.0ms

analyze758.0ms

Algorithm: search

sample2.4s

Algorithm

intervals

Results

744.0ms	1480×	body	1280	valid
637.0ms	639×	body	2560	valid
315.0ms	979×	body	640	valid
299.0ms	4011×	body	80	valid
152.0ms	626×	body	320	valid
47.0ms	265×	body	160	valid

Details

analyze751.0ms

sample76.0ms

simplify5.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series31.0ms

simplify67.0ms

prune192.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune71.0ms

localize11.0ms

rewrite13.0ms

series20.0ms

simplify75.0ms

prune160.0ms

localize16.0ms

rewrite9.0ms

series15.0ms

simplify41.0ms

prune132.0ms

regimes698.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze758.0ms

sample2.4s

Profiling