Details

sample125.0ms

Algorithm

intervals

Results

23.0ms	46×	body	1280	valid
23.0ms	24×	body	2560	valid
9.0ms	128×	body	80	valid
7.0ms	23×	body	640	valid
7.0ms	28×	body	320	valid
1.0ms	7×	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

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: 36.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

6.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.6b	(sin (/ x (* y 2.0)))
29.8b	(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)))

series36.0ms

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)))
17.0ms	(tan (/ x (* y 2.0)))

simplify48.0ms

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

prune174.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

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: 27.2b

Counts

53 → 15

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

prune55.0ms

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: 27.2b

Counts

15 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
29.4b	(cos (/ x (* y 2.0)))
29.6b	(sin (/ x (* y 2.0)))
29.6b	(sin (/ x (* y 2.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 91

Calls

4 calls:

8.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
4.0ms	(cos (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	351	1606
1	1470	1336
2	5002	1259

prune335.0ms

Filtered

83 candidates to 103 candidates (-24.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	89	14	103
Fresh	6	7	13
Picked	1	0	1
Done	0	1	1
Total	96	22	118

Merged error: 27.2b

Counts

118 → 22

localize15.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
29.4b	(cos (/ x (* y 2.0)))
29.6b	(sin (/ x (* y 2.0)))
29.6b	(sin (/ x (* y 2.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
86×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`log-pow`
36×	`exp-prod`
25×	`associate-/l*`
16×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 139

Calls

4 calls:

11.0ms	(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
4.0ms	(cos (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	554	2827
1	2113	2265
2	5001	2205

prune360.0ms

Filtered

112 candidates to 151 candidates (-34.8%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	140	11	151
Fresh	7	13	20
Picked	1	0	1
Done	0	1	1
Total	148	25	173

Merged error: 27.2b

Counts

173 → 25

regimes883.0ms

Accuracy

40.3% (1.5b remaining)

Error of 27.8b against oracle of 26.4b and baseline of 28.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	54
1	25	54

end0.0ms

sample2.6s

Algorithm

intervals

Results

717.0ms	1445×	body	1280	valid
636.0ms	642×	body	2560	valid
517.0ms	991×	body	640	valid
283.0ms	4059×	body	80	valid
132.0ms	575×	body	320	valid
50.0ms	288×	body	160	valid

Details

sample125.0ms

simplify4.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series36.0ms

simplify48.0ms

prune174.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune55.0ms

localize11.0ms

rewrite18.0ms

series18.0ms

simplify51.0ms

prune335.0ms

localize15.0ms

rewrite24.0ms

series21.0ms

simplify64.0ms

prune360.0ms

regimes883.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample2.6s

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