Details

sample82.0ms

Algorithm

intervals

Results

28.0ms	98×	body	1280	valid
16.0ms	91×	body	640	valid
15.0ms	259×	body	80	valid
4.0ms	34×	body	320	valid
2.0ms	21×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (sin y) y)

rewrite9.0ms

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` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

8.0ms

(/ (sin y) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(/ (sin y) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	108	149
1	349	138
2	1394	138
3	5002	138

prune86.0ms

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)))

rewrite20.0ms

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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 107

Calls

2 calls:

5.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	345	731
1	1556	644
2	5001	570

prune190.0ms

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)))

rewrite44.0ms

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×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

2 → 262

Calls

2 calls:

6.0ms	(/ 1 (sin y))
23.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series43.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ 1 (sin y))
24.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1175	2692
1	5002	2201

prune390.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite171.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 1012

Calls

4 calls:

45.0ms	(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
3.0ms	(cbrt (/ y (sin y)))
3.0ms	(cbrt (/ y (sin y)))
7.0ms	(cbrt (/ y (sin y)))

series708.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
126.0ms	(cbrt (/ y (sin y)))
125.0ms	(cbrt (/ y (sin y)))
293.0ms	(cbrt (/ y (sin y)))

simplify209.0ms

Algorithm

egg-herbie

Counts

1024 → 1024

Iterations

Useful iterations: 1 (52.0ms)

Iter	Nodes	Cost
0	3610	20979
1	5001	20092

prune2.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes151.0ms

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

902.0ms	3068×	body	1280	valid
448.0ms	2488×	body	640	valid
360.0ms	8616×	body	80	valid
166.0ms	1288×	body	320	valid
54.0ms	632×	body	160	valid