Details

sample73.0ms

Algorithm

intervals

Results

23.0ms	47×	body	1280	valid
16.0ms	17×	body	2560	valid
9.0ms	140×	body	80	valid
9.0ms	28×	body	640	valid
3.0ms	15×	body	320	valid
2.0ms	9×	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: 34.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

8.1b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.1b	(sin (/ x (* y 2.0)))
26.4b	(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:

20.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
14.0ms	(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

prune173.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

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: 24.2b

Counts

53 → 12

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

prune46.0ms

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: 24.2b

Counts

12 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
8.1b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.1b	(sin (/ x (* y 2.0)))
26.4b	(tan (/ x (* y 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

5.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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)))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	337	1072
1	1554	977
2	5001	968

prune237.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	99	14	113

Merged error: 24.2b

Counts

113 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

26.1b	(sin (/ x (* y 2.0)))
26.4b	(tan (/ x (* y 2.0)))
26.4b	(tan (/ x (* y 2.0)))
26.4b	(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)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sin (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))
12.0ms	(tan (/ x (* y 2.0)))

simplify47.0ms

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

prune155.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	44	13	57

Merged error: 24.2b

Counts

57 → 13

regimes461.0ms

Accuracy

0% (2.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.3s

Algorithm

intervals

Results

684.0ms	1402×	body	1280	valid
571.0ms	581×	body	2560	valid
320.0ms	1017×	body	640	valid
287.0ms	4131×	body	80	valid
135.0ms	577×	body	320	valid
50.0ms	292×	body	160	valid

Details

sample73.0ms

simplify4.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series37.0ms

simplify51.0ms

prune173.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune46.0ms

localize15.0ms

rewrite17.0ms

series53.0ms

simplify52.0ms

prune237.0ms

localize15.0ms

rewrite9.0ms

series41.0ms

simplify47.0ms

prune155.0ms

regimes461.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling