Details

sample76.0ms

Algorithm

intervals

Results

19.0ms	20×	body	2560	valid
17.0ms	35×	body	1280	valid
13.0ms	32×	body	640	valid
9.0ms	138×	body	80	valid
3.0ms	16×	body	320	valid
2.0ms	15×	body	160	valid

simplify4.0ms

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

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: 34.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b	(sin (/ x (* y 2.0)))
27.2b	(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)))

series33.0ms

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)))
13.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

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

prune170.0ms

Filtered

52 candidates to 44 candidates (15.4%)

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: 25.6b

Counts

53 → 14

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

prune49.0ms

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: 25.6b

Counts

14 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b	(sin (/ x (* y 2.0)))
27.2b	(tan (/ x (* y 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

5.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	337	1072
1	1554	977
2	5001	968

prune250.0ms

Filtered

101 candidates to 67 candidates (33.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	93	8	101
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	97	18	115

Merged error: 25.6b

Counts

115 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

27.0b	(sin (/ x (* y 2.0)))
27.2b	(tan (/ x (* y 2.0)))
27.2b	(tan (/ x (* y 2.0)))
27.2b	(tan (/ 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`
3×	`tan-quot`

Counts

4 → 31

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)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	224
1	123	196
2	434	196
3	1952	196
4	5001	196

prune153.0ms

Filtered

43 candidates to 39 candidates (9.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	2	14	16
Picked	1	0	1
Done	0	1	1
Total	43	18	61

Merged error: 25.6b

Counts

61 → 18

regimes588.0ms

Accuracy

34.9% (1.6b remaining)

Error of 27.9b against oracle of 26.3b and baseline of 28.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	35
1	20	35

end0.0ms

sample2.3s

Algorithm

intervals

Results

729.0ms	1467×	body	1280	valid
583.0ms	598×	body	2560	valid
325.0ms	1045×	body	640	valid
283.0ms	4057×	body	80	valid
128.0ms	553×	body	320	valid
48.0ms	280×	body	160	valid

Details

sample76.0ms

simplify4.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series33.0ms

simplify50.0ms

prune170.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune49.0ms

localize13.0ms

rewrite19.0ms

series55.0ms

simplify52.0ms

prune250.0ms

localize14.0ms

rewrite9.0ms

series42.0ms

simplify48.0ms

prune153.0ms

regimes588.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling