Details

sample66.0ms

Algorithm

intervals

Results

17.0ms	20×	body	2560	valid
16.0ms	39×	body	1280	valid
10.0ms	139×	body	80	valid
9.0ms	33×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	11×	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

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: 35.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.9b	(sin (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 72

Calls

4 calls:

5.0ms	(/ x (* y 2.0))
6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ x (* y 2.0))
39.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))

simplify108.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	239	574
1	856	518
2	4398	518
3	5001	518

prune282.0ms

Filtered

84 candidates to 69 candidates (82.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	65	19	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	19	85

Merged error: 23.8b

Counts

85 → 19

localize0.0ms

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

prune46.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	18	18
Picked	1	1
Done	0	0
Total	19	19

Merged error: 23.8b

Counts

19 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

26.9b	(sin (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 39

Calls

4 calls:

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

series128.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	61	250
1	131	222
2	445	222
3	1995	222
4	5001	222

prune263.0ms

Filtered

51 candidates to 47 candidates (92.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	2	15	17
Picked	1	0	1
Done	0	1	1
Total	50	20	70

Merged error: 23.8b

Counts

70 → 20

localize15.0ms

Local error

Found 4 expressions with local error:

26.9b	(sin (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 39

Calls

4 calls:

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

series127.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	61	250
1	131	222
2	445	222
3	1995	222
4	5001	222

prune192.0ms

Filtered

51 candidates to 47 candidates (92.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	18	18
Picked	1	0	1
Done	0	1	1
Total	50	21	71

Merged error: 23.8b

Counts

71 → 21

regimes418.0ms

Accuracy

33% (2.2b remaining)

Error of 27.9b against oracle of 25.7b and baseline of 29.0b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

end0.0ms

sample2.0s

Algorithm

intervals

Results

624.0ms	1470×	body	1280	valid
557.0ms	627×	body	2560	valid
240.0ms	938×	body	640	valid
225.0ms	4052×	body	80	valid
109.0ms	578×	body	320	valid
52.0ms	335×	body	160	valid