Details

sample68.0ms

Algorithm

intervals

Results

21.0ms	43×	body	1280	valid
19.0ms	22×	body	2560	valid
8.0ms	138×	body	80	valid
7.0ms	30×	body	640	valid
4.0ms	22×	body	320	valid
0.0ms	1×	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

prune2.0ms

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: 34.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

7.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.1b	(sin (/ x (* y 2.0)))
27.5b	(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)))

series90.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
34.0ms	(tan (/ x (* y 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1765	413
3	5001	413

prune198.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	41	11	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	11	53

Merged error: 25.1b

Counts

53 → 11

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune25.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Merged error: 25.1b

Counts

11 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

7.7b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
27.0b	(cos (/ x (* y 2.0)))
27.1b	(sin (/ x (* y 2.0)))
27.1b	(sin (/ x (* y 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

9.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ 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)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
10.0ms	(cos (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	351	1606
1	1470	1336
2	5001	1259

prune287.0ms

Filtered

103 candidates to 83 candidates (80.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	89	14	103
Fresh	4	5	9
Picked	1	0	1
Done	0	1	1
Total	94	20	114

Merged error: 25.1b

Counts

114 → 20

localize13.0ms

Local error

Found 4 expressions with local error:

7.7b	(/ (/ (sin (/ x (* y 2.0))) (cbrt (pow (cos (/ x (* y 2.0))) 3))) (sin (/ x (* y 2.0))))
27.0b	(cos (/ x (* y 2.0)))
27.1b	(sin (/ x (* y 2.0)))
27.1b	(sin (/ x (* y 2.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

327×	`times-frac`
166×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
144×	`cbrt-prod`
49×	`associate-/l*`
36×	`unpow-prod-down` `cube-prod`
12×	`cube-mult` `unpow3` `sqr-pow`
9×	`add-exp-log`
8×	`add-cbrt-cube`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 235

Calls

4 calls:

17.0ms	(/ (/ (sin (/ x (* y 2.0))) (cbrt (pow (cos (/ x (* y 2.0))) 3))) (sin (/ 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)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (/ (sin (/ x (* y 2.0))) (cbrt (pow (cos (/ x (* y 2.0))) 3))) (sin (/ x (* y 2.0))))
10.0ms	(cos (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify105.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	837	5211
1	3089	4287
2	5001	4217

prune611.0ms

Filtered

247 candidates to 138 candidates (55.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	241	6	247
Fresh	4	14	18
Picked	1	0	1
Done	0	1	1
Total	246	21	267

Merged error: 25.1b

Counts

267 → 21

regimes380.0ms

Accuracy

0% (2.4b remaining)

Error of 28.4b against oracle of 25.9b and baseline of 28.4b

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

618.0ms	1385×	body	1280	valid
602.0ms	647×	body	2560	valid
272.0ms	977×	body	640	valid
244.0ms	4118×	body	80	valid
116.0ms	565×	body	320	valid
49.0ms	308×	body	160	valid