Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	130×	body	80	valid
8.0ms	51×	body	1280	valid
4.0ms	39×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	14×	body	160	valid

simplify17.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
4.7b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 44

Calls

3 calls:

12.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
56.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series606.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(cbrt (+ x 1.0))
275.0ms	(cbrt x)
223.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.2s

Counts: 53 → 53

prune191.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite31.0ms

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:

19.0ms	(* (cbrt x) (cbrt x))
6.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt x) (cbrt x))
316.0ms	(cbrt x)
294.0ms	(cbrt x)
277.0ms	(cbrt x)

simplify1.0s

Counts: 85 → 85

prune353.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (cbrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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 → 45

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(cbrt (* (cbrt x) (cbrt x)))
2.0ms	(cbrt (cbrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt x)
350.0ms	(cbrt x)
413.0ms	(cbrt (* (cbrt x) (cbrt x)))
360.0ms	(cbrt (cbrt x))

simplify1.1s

Counts: 57 → 57

prune410.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (cbrt x)))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt (cbrt (cbrt x)))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))

series1.5s

Counts

4 → 12

Calls

4 calls:

380.0ms	(cbrt (cbrt (cbrt x)))
377.0ms	(cbrt (cbrt x))
399.0ms	(cbrt (cbrt x))
355.0ms	(cbrt (cbrt x))

simplify816.0ms

Counts: 71 → 71

prune691.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.1b

regimes145.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify3.8s

end0.0ms

sample1.4s

Algorithm

intervals

Results

525.0ms	1223×	body	640	valid
457.0ms	1750×	body	1280	valid
163.0ms	4096×	body	80	valid
64.0ms	616×	body	320	valid
22.0ms	315×	body	160	valid