Details

sample53.0ms

Algorithm

intervals

Results

14.0ms	27×	body	1280	valid
10.0ms	162×	body	80	valid
9.0ms	33×	body	640	valid
5.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

10.0ms	(/ (sin y) y)
20.0ms	(* x (/ (sin y) y))

series137.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (sin y) y)
99.0ms	(* x (/ (sin y) y))

simplify4.8s

Counts

65 → 65

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	98	571
1	208	545
2	564	493
3	1548	493
4	4670	493
done	5000	493

prune171.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 176

Calls

3 calls:

6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))
33.0ms	(* x (/ 1 (/ y (sin y))))

series112.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ y (sin y))
31.0ms	(/ 1 (/ y (sin y)))
57.0ms	(* x (/ 1 (/ y (sin y))))

simplify2.4s

Counts

185 → 185

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	238	2193
1	534	1726
2	1059	1493
3	2902	1475
done	5000	1475

prune459.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 97

Calls

2 calls:

10.0ms	(/ x (/ y (sin y)))
6.0ms	(/ y (sin y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ x (/ y (sin y)))
25.0ms	(/ y (sin y))

simplify2.1s

Counts

103 → 103

Iterations

Useful iterations: 3 (906.0ms)

Iter	Nodes	Cost
0	171	1246
1	350	1170
2	1027	1108
3	2933	1106
done	5000	1106

prune265.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ y (sin y)) x)
0.1b	(/ y (sin y))
0.3b	(/ 1 (/ (/ y (sin y)) x))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

477×	`times-frac`
237×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
49×	`associate-/r*`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube` `associate-/l*`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

3 → 297

Calls

3 calls:

13.0ms	(/ (/ y (sin y)) x)
6.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ (/ y (sin y)) x))

series127.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (/ y (sin y)) x)
25.0ms	(/ y (sin y))
50.0ms	(/ 1 (/ (/ y (sin y)) x))

simplify2.1s

Counts

306 → 306

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	447	5143
1	1006	4465
2	1941	3879
done	5001	3787

prune659.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes104.0ms

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	5	6
done	5	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

806.0ms	949×	body	1280	valid
434.0ms	5188×	body	80	valid
282.0ms	983×	body	640	valid
104.0ms	577×	body	320	valid
39.0ms	303×	body	160	valid