Details

sample63.0ms

Algorithm

intervals

Results

19.0ms	47×	body	1280	valid
14.0ms	17×	body	2560	valid
9.0ms	37×	body	640	valid
7.0ms	133×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	7×	body	160	valid

simplify8.0ms

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 (100.0%)

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: 34.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.9b	(sin (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))

rewrite33.0ms

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` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 49

Calls

3 calls:

14.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series93.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	144	485
1	414	441
2	1658	441
3	5001	441

prune166.0ms

Filtered

58 candidates to 50 candidates (13.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	44	14	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	14	59

Merged error: 26.1b

Counts

59 → 14

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

prune32.0ms

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: 26.1b

Counts

14 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.9b	(sin (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

1.0ms	(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
14.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
37.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	176	614
1	511	553
2	1926	551
3	5001	551

prune218.0ms

Filtered

72 candidates to 60 candidates (16.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	63	9	72
Fresh	9	3	12
Picked	1	0	1
Done	0	1	1
Total	73	13	86

Merged error: 26.1b

Counts

86 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
5.5b	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
27.9b	(sin (/ x (* y 2.0)))
28.6b	(tan (/ x (* y 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

1.0ms	(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
9.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(tan (/ x (* y 2.0)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
132.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
13.0ms	(sin (/ x (* y 2.0)))
54.0ms	(tan (/ x (* y 2.0)))

simplify84.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	182	703
1	491	614
2	1884	599
3	5001	589

prune208.0ms

Filtered

71 candidates to 62 candidates (12.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	4	7	11
Picked	1	0	1
Done	0	1	1
Total	71	13	84

Merged error: 26.1b

Counts

84 → 13

regimes281.0ms

Accuracy

0% (2.5b remaining)

Error of 28.5b against oracle of 26.0b and baseline of 28.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.0s

Algorithm

intervals

Results

624.0ms	1419×	body	1280	valid
554.0ms	617×	body	2560	valid
244.0ms	951×	body	640	valid
223.0ms	4131×	body	80	valid
108.0ms	572×	body	320	valid
44.0ms	310×	body	160	valid