Details

sample7.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 48.834229%

Results

22.0ms	44×	body	1280	valid
14.0ms	15×	body	2560	valid
12.0ms	36×	body	640	valid
10.0ms	136×	body	80	valid
4.0ms	17×	body	320	valid
2.0ms	8×	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

prune3.0ms

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: 35.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

8.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.7b	(sin (/ x (* y 2.0)))
27.3b	(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)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify52.0ms

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

prune185.0ms

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: 24.2b

Counts

53 → 16

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

prune60.0ms

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: 24.2b

Counts

16 → 16

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b	(* 0.125 (/ (pow x 2) (pow y 2)))
13.9b	(/ (pow x 2) (pow y 2))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
110×	`unpow-prod-down`
106×	`add-sqr-sqrt`
72×	`add-cube-cbrt` `*-un-lft-identity`
68×	`associate-r`
42×	`unpow2` `sqr-pow`
37×	`add-exp-log`
18×	`div-exp`
17×	`unswap-sqr`
12×	`pow-to-exp` `pow-exp`
10×	`prod-exp`
9×	`add-cbrt-cube`
8×	`associate-/r` `associate-/l`
4×	`pow1`
3×	`associate-l`
2×	`cbrt-undiv` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 210

Calls

2 calls:

19.0ms	(* 0.125 (/ (pow x 2) (pow y 2)))
7.0ms	(/ (pow x 2) (pow y 2))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* 0.125 (/ (pow x 2) (pow y 2)))
5.0ms	(/ (pow x 2) (pow y 2))

simplify66.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	577	1283
1	2475	1017
2	5001	1004

prune271.0ms

Filtered

114 candidates to 216 candidates (-89.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	216	16	232

Merged error: 24.2b

Counts

232 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

26.7b	(sin (/ x (* y 2.0)))
27.3b	(tan (/ x (* y 2.0)))
27.3b	(tan (/ x (* y 2.0)))
27.3b	(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)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(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)))

simplify50.0ms

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

prune152.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	1	12	13
Picked	1	0	1
Done	0	2	2
Total	42	17	59

Merged error: 24.1b

Counts

59 → 17

regimes425.0ms

Accuracy

0% (2.3b remaining)

Error of 28.6b against oracle of 26.3b and baseline of 28.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample10.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 48.834229%

Results

705.0ms	1392×	body	1280	valid
653.0ms	663×	body	2560	valid
345.0ms	1036×	body	640	valid
321.0ms	4064×	body	80	valid
137.0ms	563×	body	320	valid
56.0ms	282×	body	160	valid

Details

sample7.8s

simplify5.0ms

prune3.0ms

localize10.0ms

rewrite10.0ms

series37.0ms

simplify52.0ms

prune185.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune60.0ms

localize8.0ms

rewrite39.0ms

series12.0ms

simplify66.0ms

prune271.0ms

localize15.0ms

rewrite9.0ms

series44.0ms

simplify50.0ms

prune152.0ms

regimes425.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample10.6s

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