Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	47×	body	1280	valid
7.0ms	41×	body	640	valid
6.0ms	132×	body	80	valid
3.0ms	29×	body	320	valid
1.0ms	7×	body	160	valid

simplify14.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.7b	(cbrt x)
2.3b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite97.0ms

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:

4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
90.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series610.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(cbrt (+ x 1.0))
272.0ms	(cbrt x)
216.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.7s

Counts: 53 → 53

prune156.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite38.0ms

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:

31.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt x) (cbrt x))
251.0ms	(cbrt x)
291.0ms	(cbrt x)
235.0ms	(cbrt x)

simplify907.0ms

Counts: 85 → 85

prune345.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite5.0ms

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

series1.1s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt x)
241.0ms	(cbrt x)
292.0ms	(cbrt x)
329.0ms	(cbrt x)

simplify1.5s

Counts: 56 → 56

prune412.0ms

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite5.0ms

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

series1.1s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt x)
256.0ms	(cbrt x)
253.0ms	(cbrt x)
296.0ms	(cbrt x)

simplify1.6s

Counts: 56 → 56

prune327.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.2b

regimes218.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify4.1s

end0.0ms

sample1.6s

Algorithm

intervals

Results

830.0ms	1713×	body	1280	valid
224.0ms	1264×	body	640	valid
188.0ms	4033×	body	80	valid
131.0ms	666×	body	320	valid
24.0ms	324×	body	160	valid