Details

sample72.0ms

Algorithm

intervals

Results

23.0ms	51×	body	1280	valid
18.0ms	19×	body	2560	valid
10.0ms	36×	body	640	valid
7.0ms	119×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	16×	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: 36.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.7b	(tan (/ x (* y 2.0)))
30.8b	(sin (/ 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	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series81.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
38.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ 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

prune166.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	36	16	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	16	53

Merged error: 28.6b

Counts

53 → 16

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

prune33.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Merged error: 28.6b

Counts

16 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.7b	(tan (/ x (* y 2.0)))
30.8b	(sin (/ 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	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
39.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
35.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

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

prune230.0ms

Filtered

101 candidates to 67 candidates (66.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	6	8	14
Picked	1	0	1
Done	0	1	1
Total	99	18	117

Merged error: 28.6b

Counts

117 → 18

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)) 3)
5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.7b	(tan (/ x (* y 2.0)))
30.8b	(sin (/ x (* y 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

11.0ms	(pow (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)) 3)
5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)) 3)
37.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
33.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify72.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	567	1852
1	1960	1625
2	5002	1605

prune225.0ms

Filtered

144 candidates to 68 candidates (47.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	140	4	144
Fresh	2	14	16
Picked	0	1	1
Done	0	1	1
Total	142	20	162

Merged error: 28.6b

Counts

162 → 20

regimes414.0ms

Accuracy

0% (2.3b remaining)

Error of 28.1b against oracle of 25.8b and baseline of 28.1b

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

631.0ms	1444×	body	1280	valid
563.0ms	621×	body	2560	valid
256.0ms	948×	body	640	valid
252.0ms	4139×	body	80	valid
104.0ms	529×	body	320	valid
49.0ms	319×	body	160	valid

Details

sample72.0ms

simplify5.0ms

prune2.0ms

localize10.0ms

rewrite10.0ms

series81.0ms

simplify52.0ms

prune166.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune33.0ms

localize15.0ms

rewrite17.0ms

series135.0ms

simplify53.0ms

prune230.0ms

localize16.0ms

rewrite26.0ms

series130.0ms

simplify72.0ms

prune225.0ms

regimes414.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling