Details

sample71.0ms

Algorithm

intervals

Results

20.0ms	45×	body	1280	valid
18.0ms	20×	body	2560	valid
9.0ms	29×	body	640	valid
8.0ms	133×	body	80	valid
3.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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: 37.2b

Counts

2 → 1

localize16.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.1b	(sin (/ x (* y 2.0)))
28.3b	(tan (/ x (* y 2.0)))

rewrite13.0ms

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:

6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	146	485
1	433	441
2	1789	441
3	5001	441

prune215.0ms

Filtered

58 candidates to 50 candidates (86.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	45	13	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	13	59

Merged error: 26.1b

Counts

59 → 13

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune30.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Merged error: 26.1b

Counts

13 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
28.1b	(cos (/ x (* y 2.0)))
28.1b	(sin (/ x (* y 2.0)))
28.1b	(sin (/ x (* y 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `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 → 51

Calls

4 calls:

8.0ms	(/ (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)))
3.0ms	(sin (/ x (* y 2.0)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
16.0ms	(cos (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	154	539
1	486	393
2	2459	391
3	5001	385

prune202.0ms

Filtered

63 candidates to 53 candidates (84.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	53	10	63
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	57	19	76

Merged error: 26.1b

Counts

76 → 19

localize15.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
28.1b	(cos (/ x (* y 2.0)))
28.1b	(sin (/ x (* y 2.0)))
28.1b	(sin (/ x (* y 2.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `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 → 50

Calls

4 calls:

9.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
12.0ms	(cos (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	149	570
1	464	398
2	2284	394
3	5003	386

prune174.0ms

Filtered

62 candidates to 53 candidates (85.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	3	14	17
Picked	1	0	1
Done	0	1	1
Total	62	19	81

Merged error: 26.1b

Counts

81 → 19

regimes361.0ms

Accuracy

0% (2.4b 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

sample2.1s

Algorithm

intervals

Results

640.0ms	1412×	body	1280	valid
586.0ms	644×	body	2560	valid
280.0ms	972×	body	640	valid
257.0ms	4119×	body	80	valid
121.0ms	564×	body	320	valid
45.0ms	289×	body	160	valid