Details

sample65.0ms

Algorithm

intervals

Results

19.0ms	45×	body	1280	valid
17.0ms	20×	body	2560	valid
8.0ms	29×	body	640	valid
7.0ms	133×	body	80	valid
3.0ms	17×	body	320	valid
2.0ms	12×	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: 37.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.1b	(sin (/ x (* y 2.0)))
28.3b	(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)))

series84.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
40.0ms	(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	1765	413
3	5001	413

prune155.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	40	12	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	12	53

Merged error: 26.1b

Counts

53 → 12

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

prune25.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Merged error: 26.1b

Counts

12 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
28.1b	(cos (/ x (* y 2.0)))
28.1b	(sin (/ x (* y 2.0)))
28.1b	(sin (/ x (* y 2.0)))

rewrite15.0ms

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:

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

series47.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
10.0ms	(cos (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (70.0ms)

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

prune145.0ms

Filtered

55 candidates to 45 candidates (81.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	45	10	55
Fresh	3	7	10
Picked	1	0	1
Done	0	1	1
Total	49	18	67

Merged error: 26.1b

Counts

67 → 18

localize16.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
28.1b	(cos (/ x (* y 2.0)))
28.1b	(sin (/ x (* y 2.0)))
28.1b	(sin (/ x (* y 2.0)))

rewrite16.0ms

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*` `cbrt-unprod` `div-inv`

Counts

4 → 42

Calls

4 calls:

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

series45.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
10.0ms	(cos (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	142	520
1	456	348
2	2261	344
3	5001	336

prune126.0ms

Filtered

54 candidates to 45 candidates (83.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	3	13	16
Picked	1	0	1
Done	0	1	1
Total	54	18	72

Merged error: 26.1b

Counts

72 → 18

regimes296.0ms

Accuracy

0% (2.4b remaining)

Error of 28.5b against oracle of 26.0b and baseline of 28.5b

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

609.0ms	1412×	body	1280	valid
576.0ms	644×	body	2560	valid
254.0ms	972×	body	640	valid
239.0ms	4119×	body	80	valid
106.0ms	564×	body	320	valid
42.0ms	289×	body	160	valid