Details

sample79.0ms

Algorithm

intervals

Results

29.0ms	98×	body	1280	valid
16.0ms	91×	body	640	valid
11.0ms	259×	body	80	valid
4.0ms	34×	body	320	valid
2.0ms	21×	body	160	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1824	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (sin y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

9.0ms

(/ (sin y) y)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ (sin y) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	105	143
1	343	133
2	1366	133
3	5001	133

prune77.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 103

Calls

2 calls:

6.0ms	(/ y (sin y))
14.0ms	(/ 1 (/ y (sin y)))

series47.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ y (sin y))
24.0ms	(/ 1 (/ y (sin y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	338	719
1	1539	633
2	5002	559

prune182.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
206×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
46×	`add-exp-log`
34×	`div-exp`
30×	`div-inv`
16×	`associate-/r` `add-cbrt-cube` `associate-/l`
9×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

2 → 258

Calls

2 calls:

7.0ms	(/ 1 (sin y))
20.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series42.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/ 1 (sin y))
29.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1171	2677
1	5001	2188

prune369.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

2636×	`times-frac`
1404×	`cbrt-prod`
1154×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
126×	`div-inv`
53×	`associate-/l*`
21×	`cbrt-div`
18×	`associate-/r/`
16×	`associate-/r*`
13×	`add-exp-log`
7×	`pow1`
6×	`div-exp` `add-cbrt-cube`
5×	`pow1/3`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow-div`
2×	`pow-flip`
1×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `inv-pow`

Counts

4 → 1004

Calls

4 calls:

53.0ms	(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
132.0ms	(cbrt (/ y (sin y)))
140.0ms	(cbrt (/ y (sin y)))
140.0ms	(cbrt (/ y (sin y)))

simplify212.0ms

Algorithm

egg-herbie

Counts

1016 → 1016

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	3603	20943
1	5002	20034

prune2.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.4s

Algorithm

intervals

Results

893.0ms	3068×	body	1280	valid
442.0ms	2488×	body	640	valid
364.0ms	8616×	body	80	valid
160.0ms	1288×	body	320	valid
62.0ms	632×	body	160	valid