Details

sample104.0ms

Algorithm

intervals

Results

33.0ms	25×	body	2560	valid
31.0ms	48×	body	1280	valid
13.0ms	39×	body	640	valid
9.0ms	116×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	13×	body	160	valid

simplify6.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.2b

localize10.0ms

Local error

Found 3 expressions with local error:

5.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
31.7b	(sin (/ x (* y 2.0)))
32.0b	(tan (/ x (* y 2.0)))

rewrite20.0ms

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:

11.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

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

prune171.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 29.8b

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

prune28.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 29.8b

localize11.0ms

Local error

Found 4 expressions with local error:

5.0b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
31.7b	(cos (/ x (* y 2.0)))
31.7b	(sin (/ x (* y 2.0)))
31.7b	(sin (/ x (* y 2.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `associate-/r/` `sin-cos-mult` `cbrt-unprod` `div-inv`

Counts

4 → 43

Calls

4 calls:

28.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
5.0ms	(cos (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
10.0ms	(cos (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	147	493
1	478	347
2	2436	345
3	5001	339

prune157.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 29.7b

localize19.0ms

Local error

Found 4 expressions with local error:

31.7b	(cos (/ x (* y 2.0)))
31.7b	(cos (/ x (* y 2.0)))
31.7b	(sin (/ x (* y 2.0)))
31.7b	(sin (/ x (* y 2.0)))

rewrite19.0ms

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:

5.0ms	(cos (/ x (* y 2.0)))
5.0ms	(cos (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cos (/ x (* y 2.0)))
10.0ms	(cos (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	53	188
1	114	160
2	315	160
3	1342	160
4	5001	160

prune131.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 29.6b

regimes270.0ms

Accuracy

0% (2.4b remaining)

Error of 28.3b against oracle of 25.9b and baseline of 28.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.7s

Algorithm

intervals

Results

832.0ms	658×	body	2560	valid
831.0ms	1442×	body	1280	valid
325.0ms	956×	body	640	valid
311.0ms	4124×	body	80	valid
130.0ms	532×	body	320	valid
52.0ms	288×	body	160	valid