Details

sample114.0ms

Algorithm

intervals

Results

41.0ms	92×	body	1280	valid
21.0ms	75×	body	640	valid
17.0ms	270×	body	80	valid
9.0ms	43×	body	320	valid
2.0ms	14×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	100	7
5	187	7
6	761	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (sin y) y)

rewrite20.0ms

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:

18.0ms

(/ (sin y) y)

series57.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(/ (sin y) y)

simplify1.8s

Counts

32 → 32

Iterations

Useful iterations: 3 (483.0ms)

Iter	Nodes	Cost
0	61	258
1	113	248
2	413	234
3	2486	231
done	5001	231

prune144.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

11.0ms	(/ y (sin y))
23.0ms	(/ 1 (/ y (sin y)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ y (sin y))
61.0ms	(/ 1 (/ y (sin y)))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	164	1300
1	398	1083
2	2250	984
done	5000	983

prune379.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:

14.0ms	(/ 1 (sin y))
20.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series55.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1 (sin y))
31.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify897.0ms

Counts

268 → 268

Iterations

Useful iterations: done (882.0ms)

Iter	Nodes	Cost
0	405	4864
1	1399	3554
done	5001	3210

prune356.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(expm1 (log1p (* (/ 1 y) (sin y))))
0.3b	(* (/ 1 y) (sin y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

0.0ms	(expm1 (log1p (* (/ 1 y) (sin y))))
20.0ms	(* (/ 1 y) (sin y))

series319.0ms

Counts

2 → 6

Calls

2 calls:

276.0ms	(expm1 (log1p (* (/ 1 y) (sin y))))
43.0ms	(* (/ 1 y) (sin y))

simplify815.0ms

Counts

54 → 54

Iterations

Useful iterations: done (813.0ms)

Iter	Nodes	Cost
0	93	489
1	210	443
2	1100	315
done	5000	309

prune222.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes246.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.9s	2980×	body	1280	valid
1.1s	2423×	body	640	valid
799.0ms	8561×	body	80	valid
434.0ms	599×	body	160	valid
346.0ms	1193×	body	320	valid