Details

sample82.0ms

Algorithm

intervals

Results

27.0ms	56×	body	1280	valid
18.0ms	19×	body	2560	valid
12.0ms	26×	body	640	valid
8.0ms	125×	body	80	valid
4.0ms	17×	body	320	valid
2.0ms	13×	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: 35.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

6.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.5b	(sin (/ x (* y 2.0)))
30.0b	(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)))

series32.0ms

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)))
13.0ms	(tan (/ x (* y 2.0)))

simplify51.0ms

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

prune172.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

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: 27.7b

Counts

53 → 14

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

prune51.0ms

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: 27.7b

Counts

14 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

6.0b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
29.1b	(cos (/ x (* y 2.0)))
29.5b	(sin (/ x (* y 2.0)))
29.5b	(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:

9.0ms	(/ (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)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify77.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (71.0ms)

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

prune173.0ms

Filtered

45 candidates to 55 candidates (-22.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	45	10	55
Fresh	5	7	12
Picked	1	0	1
Done	0	1	1
Total	51	18	69

Merged error: 27.7b

Counts

69 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

6.0b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
29.1b	(cos (/ x (* y 2.0)))
29.5b	(sin (/ x (* y 2.0)))
29.5b	(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*` `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)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

54 → 54

Iterations

Useful iterations: 3 (58.0ms)

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

prune115.0ms

Filtered

45 candidates to 54 candidates (-20.0%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	4	12	16
Picked	1	0	1
Done	0	1	1
Total	51	21	72

Merged error: 27.7b

Counts

72 → 21

regimes649.0ms

Accuracy

41% (1.5b remaining)

Error of 27.2b against oracle of 25.8b and baseline of 28.2b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	16
1	16	16

end0.0ms

sample2.3s

Algorithm

intervals

Results

655.0ms	1345×	body	1280	valid
622.0ms	654×	body	2560	valid
322.0ms	1022×	body	640	valid
286.0ms	4138×	body	80	valid
125.0ms	538×	body	320	valid
56.0ms	303×	body	160	valid

Details

sample82.0ms

simplify4.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series32.0ms

simplify51.0ms

prune172.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune51.0ms

localize11.0ms

rewrite15.0ms

series18.0ms

simplify77.0ms

prune173.0ms

localize14.0ms

rewrite15.0ms

series18.0ms

simplify64.0ms

prune115.0ms

regimes649.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling