Details

sample65.0ms

Algorithm

intervals

Results

22.0ms	26×	body	2560	valid
12.0ms	31×	body	1280	valid
9.0ms	37×	body	640	valid
7.0ms	136×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	11×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 35.5b

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))))
27.3b	(tan (/ x (* y 2.0)))
27.4b	(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)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
42.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1765	413
3	5001	413

prune171.0ms

Filtered

52 candidates to 44 candidates (84.6%)

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: 25.0b

Counts

53 → 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

prune31.0ms

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: 25.0b

Counts

14 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

27.3b	(tan (/ x (* y 2.0)))
27.4b	(sin (/ x (* y 2.0)))
27.4b	(sin (/ x (* y 2.0)))
27.4b	(sin (/ x (* y 2.0)))

rewrite10.0ms

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

series59.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(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)))

simplify52.0ms

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

prune152.0ms

Filtered

41 candidates to 37 candidates (90.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	40	15	55

Merged error: 24.9b

Counts

55 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
7.7b	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
27.3b	(tan (/ x (* y 2.0)))
27.4b	(sin (/ x (* y 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`tan-quot` `associate-/r/` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `inv-pow`

Counts

4 → 123

Calls

4 calls:

9.0ms	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
5.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
33.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
39.0ms	(tan (/ x (* y 2.0)))
13.0ms	(sin (/ x (* y 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	375	1624
1	1987	1472
2	5001	1397

prune232.0ms

Filtered

135 candidates to 80 candidates (59.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	5	7	12
Picked	1	0	1
Done	0	2	2
Total	136	14	150

Merged error: 24.8b

Counts

150 → 14

regimes299.0ms

Accuracy

0% (2.5b remaining)

Error of 29.0b against oracle of 26.5b and baseline of 29.0b

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

595.0ms	1428×	body	1280	valid
556.0ms	621×	body	2560	valid
261.0ms	1034×	body	640	valid
235.0ms	4026×	body	80	valid
110.0ms	591×	body	320	valid
45.0ms	300×	body	160	valid