Details

sample93.0ms

Algorithm

intervals

Results

28.0ms	41×	body	1280	valid
24.0ms	18×	body	2560	valid
13.0ms	33×	body	640	valid
10.0ms	134×	body	80	valid
4.0ms	16×	body	320	valid
3.0ms	14×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.7b

localize10.0ms

Local error

Found 3 expressions with local error:

7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.5b	(sin (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))

rewrite9.0ms

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` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 49

Calls

3 calls:

4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))

simplify72.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	146	485
1	433	441
2	1789	441
3	5001	441

prune219.0ms

Filtered

58 candidates to 50 candidates (86.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.7b

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

prune34.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.7b

localize16.0ms

Local error

Found 4 expressions with local error:

27.5b	(sin (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 39

Calls

4 calls:

2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))
46.0ms	(tan (/ x (* y 2.0)))
45.0ms	(tan (/ x (* y 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	61	250
1	131	222
2	445	222
3	1995	222
4	5001	222

prune246.0ms

Filtered

51 candidates to 47 candidates (92.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.6b

localize20.0ms

Local error

Found 4 expressions with local error:

27.5b	(sin (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 39

Calls

4 calls:

2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
45.0ms	(tan (/ x (* y 2.0)))
47.0ms	(tan (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	61	250
1	131	222
2	445	222
3	1995	222
4	5001	222

prune234.0ms

Filtered

51 candidates to 47 candidates (92.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 25.6b

regimes346.0ms

Accuracy

0% (2.5b remaining)

Error of 28.3b against oracle of 25.8b 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

sample2.8s

Algorithm

intervals

Results

877.0ms	1410×	body	1280	valid
826.0ms	607×	body	2560	valid
367.0ms	1000×	body	640	valid
340.0ms	4125×	body	80	valid
150.0ms	539×	body	320	valid
69.0ms	319×	body	160	valid