Details

sample87.0ms

Algorithm

intervals

Results

28.0ms	44×	body	1280	valid
21.0ms	17×	body	2560	valid
10.0ms	31×	body	640	valid
9.0ms	133×	body	80	valid
4.0ms	18×	body	320	valid
2.0ms	13×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.8b	(sin (/ x (* y 2.0)))
28.1b	(tan (/ x (* y 2.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/ x (* y 2.0))
12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ x (* y 2.0))
38.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify106.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	239	574
1	856	518
2	4398	518
3	5001	518

prune281.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 25.2b

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

prune51.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 25.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (* (/ 1 y) (/ x 2.0))))
27.5b	(sin (* (/ 1 y) (/ x 2.0)))
28.1b	(tan (/ x (* y 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/ x (* y 2.0))
10.0ms	(/ (tan (/ x (* y 2.0))) (sin (* (/ 1 y) (/ x 2.0))))
6.0ms	(sin (* (/ 1 y) (/ x 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ x (* y 2.0))
39.0ms	(/ (tan (/ x (* y 2.0))) (sin (* (/ 1 y) (/ x 2.0))))
10.0ms	(sin (* (/ 1 y) (/ x 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify133.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	246	628
1	876	566
2	4849	564
3	5001	564

prune299.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 24.9b

localize18.0ms

Local error

Found 4 expressions with local error:

27.5b	(sin (* (/ 1 y) (/ x 2.0)))
28.1b	(tan (/ x (* y 2.0)))
28.1b	(tan (/ x (* y 2.0)))
28.1b	(tan (/ x (* y 2.0)))

rewrite16.0ms

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:

6.0ms	(sin (* (/ 1 y) (/ x 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series126.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (* (/ 1 y) (/ x 2.0)))
40.0ms	(tan (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	72	260
1	151	230
2	511	229
3	2559	229
4	5002	229

prune213.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 24.9b

regimes483.0ms

Accuracy

0% (3.4b remaining)

Error of 28.4b against oracle of 25.0b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample3.0s

Algorithm

intervals

Results

834.0ms	642×	body	2560	valid
808.0ms	1363×	body	1280	valid
520.0ms	4115×	body	80	valid
340.0ms	970×	body	640	valid
158.0ms	579×	body	320	valid
60.0ms	331×	body	160	valid