Details

sample71.0ms

Algorithm

intervals

Results

20.0ms	161×	body	80	valid
17.0ms	34×	body	1280	valid
13.0ms	37×	body	640	valid
5.0ms	18×	body	320	valid
1.0ms	6×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:

26.0ms	(* x (/ (sin y) y))
16.0ms	(/ (sin y) y)

series126.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* x (/ (sin y) y))
64.0ms	(/ (sin y) y)

simplify53.0ms

Counts: 65 → 65

prune206.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

27.0ms	(* x (/ (sin y) y))
17.0ms	(/ (sin y) y)

series104.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* x (/ (sin y) y))
37.0ms	(/ (sin y) y)

simplify44.0ms

Counts: 65 → 65

prune192.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series745.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt y)
206.0ms	(cbrt (sin y))
141.0ms	(cbrt (sin y))
112.0ms	(cbrt (sin y))

simplify177.0ms

Counts: 56 → 56

prune199.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

325.0ms	(* (cbrt y) (cbrt y))
255.0ms	(cbrt y)
211.0ms	(cbrt y)
493.0ms	(cbrt y)

simplify40.0ms

Counts: 85 → 85

prune337.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify232.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

526.0ms	5220×	body	80	valid
317.0ms	893×	body	1280	valid
294.0ms	990×	body	640	valid
98.0ms	575×	body	320	valid
40.0ms	322×	body	160	valid