Details

sample84.0ms

Algorithm

intervals

Results

26.0ms	55×	body	1280	valid
23.0ms	25×	body	2560	valid
9.0ms	121×	body	80	valid
8.0ms	26×	body	640	valid
4.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

prune7.0ms

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: 38.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

7.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.7b	(tan (/ x (* y 2.0)))
31.4b	(sin (/ x (* y 2.0)))

rewrite11.0ms

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:

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

series33.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms	(tan (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5053	733

prune178.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	36	16	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	16	53

Merged error: 27.7b

Counts

53 → 16

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune58.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Merged error: 27.7b

Counts

16 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

30.7b	(tan (/ x (* y 2.0)))
31.4b	(sin (/ x (* y 2.0)))
31.4b	(sin (/ x (* y 2.0)))
31.4b	(sin (/ 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`
1×	`tan-quot`

Counts

4 → 29

Calls

4 calls:

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(tan (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4954	304
1	4954	304

prune212.0ms

Filtered

37 candidates to 41 candidates (-10.8%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	38	19	57

Merged error: 27.6b

Counts

57 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

31.4b	(sin (/ x (* y 2.0)))
31.4b	(sin (/ x (* y 2.0)))
31.4b	(sin (/ x (* y 2.0)))
31.4b	(sin (/ 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`

Counts

4 → 28

Calls

4 calls:

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

series14.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify108.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4735	276
1	4735	276

prune187.0ms

Filtered

36 candidates to 40 candidates (-11.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	2	14	16
Picked	1	0	1
Done	0	2	2
Total	41	18	59

Merged error: 27.5b

Counts

59 → 18

regimes564.0ms

Accuracy

26.6% (1.8b remaining)

Error of 28.1b against oracle of 26.3b and baseline of 28.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	61
1	17	61

end0.0ms

sample2.5s

Algorithm

intervals

Results

707.0ms	1409×	body	1280	valid
694.0ms	711×	body	2560	valid
301.0ms	952×	body	640	valid
297.0ms	4044×	body	80	valid
132.0ms	567×	body	320	valid
56.0ms	317×	body	160	valid

Details

sample84.0ms

simplify3.0ms

prune7.0ms

localize10.0ms

rewrite11.0ms

series33.0ms

simplify49.0ms

prune178.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune58.0ms

localize18.0ms

rewrite9.0ms

series24.0ms

simplify64.0ms

prune212.0ms

localize22.0ms

rewrite9.0ms

series14.0ms

simplify108.0ms

prune187.0ms

regimes564.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.5s

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