Details

sample74.0ms

Algorithm

intervals

Results

22.0ms	49×	body	1280	valid
17.0ms	19×	body	2560	valid
10.0ms	35×	body	640	valid
7.0ms	113×	body	80	valid
6.0ms	28×	body	320	valid
2.0ms	12×	body	160	valid

simplify5.0ms

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: 38.1b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

5.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
32.1b	(tan (/ x (* y 2.0)))
32.6b	(sin (/ 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	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
36.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

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

prune164.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	37	15	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	15	53

Merged error: 29.9b

Counts

53 → 15

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

prune34.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Merged error: 29.9b

Counts

15 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

32.1b	(tan (/ x (* y 2.0)))
32.6b	(sin (/ x (* y 2.0)))
32.6b	(sin (/ x (* y 2.0)))
32.6b	(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)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	56	192
1	123	164
2	434	164
3	1952	164
4	5001	164

prune186.0ms

Filtered

41 candidates to 37 candidates (90.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	1	12	13
Picked	1	0	1
Done	0	1	1
Total	38	18	56

Merged error: 29.8b

Counts

56 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
5.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
32.1b	(tan (/ x (* y 2.0)))
32.6b	(sin (/ x (* y 2.0)))

rewrite18.0ms

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:

6.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
40.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
37.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

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

prune212.0ms

Filtered

101 candidates to 67 candidates (66.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	6	10	16
Picked	1	0	1
Done	0	1	1
Total	101	18	119

Merged error: 29.8b

Counts

119 → 18

regimes390.0ms

Accuracy

0% (2.6b remaining)

Error of 28.8b against oracle of 26.2b and baseline of 28.8b

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	1390×	body	1280	valid
635.0ms	686×	body	2560	valid
259.0ms	939×	body	640	valid
256.0ms	4086×	body	80	valid
114.0ms	567×	body	320	valid
51.0ms	332×	body	160	valid

Details

sample74.0ms

simplify5.0ms

prune2.0ms

localize14.0ms

rewrite10.0ms

series86.0ms

simplify51.0ms

prune164.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune34.0ms

localize19.0ms

rewrite9.0ms

series63.0ms

simplify49.0ms

prune186.0ms

localize14.0ms

rewrite18.0ms

series143.0ms

simplify55.0ms

prune212.0ms

regimes390.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

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