Details

sample85.0ms

Algorithm

intervals

Results

30.0ms	99×	body	1280	valid
17.0ms	97×	body	640	valid
16.0ms	292×	body	80	valid
4.0ms	31×	body	320	valid
2.0ms	26×	body	160	valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	27	7
3	53	7
4	96	7
5	137	7
6	249	7
7	538	7
8	1157	7
9	1890	7
10	2438	7
11	2619	7
done	2619	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (sin y) y)

rewrite4.0ms

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:

3.0ms

(/ (sin y) y)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(/ (sin y) y)

simplify5.1s

Counts

32 → 32

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	61	258
1	107	248
2	248	232
3	660	231
4	1987	231
done	5000	231

prune82.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

2.0ms	(/ y (sin y))
8.0ms	(/ 1 (/ y (sin y)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))

simplify3.3s

Counts

113 → 113

Iterations

Useful iterations: 3 (745.0ms)

Iter	Nodes	Cost
0	164	1300
1	346	1127
2	790	934
3	1897	915
done	5000	915

prune198.0ms

Pruning

6 alts after pruning (4 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)))

rewrite35.0ms

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:

2.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ 1 (sin y))
26.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify4.8s

Counts

268 → 268

Iterations

Useful iterations: 3 (4.2s)

Iter	Nodes	Cost
0	405	4864
1	1183	3906
2	2676	2889
3	4903	2816
done	5000	2816

prune235.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ 1 y) (sin y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-r` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

9.0ms

(* (/ 1 y) (sin y))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (/ 1 y) (sin y))

simplify4.6s

Counts

40 → 40

Iterations

Useful iterations: 3 (283.0ms)

Iter	Nodes	Cost
0	82	352
1	177	285
2	427	231
3	896	230
4	2578	230
done	5000	230

prune78.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

915.0ms	3041×	body	1280	valid
466.0ms	2482×	body	640	valid
373.0ms	8618×	body	80	valid
176.0ms	1258×	body	320	valid
56.0ms	627×	body	160	valid