Details

sample68.0ms

Algorithm

intervals

Results

22.0ms	67×	body	1280	valid
18.0ms	118×	body	80	valid
11.0ms	42×	body	640	valid
3.0ms	16×	body	320	valid
2.0ms	13×	body	160	valid

simplify22.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize17.0ms

Local error

Found 3 expressions with local error:

2.5b	(- (cbrt (+ x 1)) (cbrt x))
0.6b	(cbrt x)
0.3b	(cbrt (+ x 1))

rewrite33.0ms

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-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 47

Calls

3 calls:

Slowest

27.0ms	(- (cbrt (+ x 1)) (cbrt x))
5.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series503.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

318.0ms	(cbrt x)
125.0ms	(- (cbrt (+ x 1)) (cbrt x))
60.0ms	(cbrt (+ x 1))

simplify1.5s

Counts: 56 → 56

prune461.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

Slowest

7.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

374.0ms	(* (cbrt x) (cbrt x))
324.0ms	(cbrt x)
285.0ms	(cbrt x)
283.0ms	(cbrt x)

simplify1.4s

Counts: 89 → 89

prune990.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.3b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

Slowest

4.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

450.0ms	(cbrt (* (cbrt x) (cbrt x)))
385.0ms	(cbrt (cbrt x))
381.0ms	(cbrt (* (cbrt x) (cbrt x)))
352.0ms	(cbrt (cbrt x))

simplify2.2s

Counts: 62 → 62

prune930.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 57

Calls

4 calls:

Slowest

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

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

368.0ms	(cbrt (cbrt x))
348.0ms	(cbrt (cbrt x))
345.0ms	(cbrt (cbrt x))
268.0ms	(cbrt x)

simplify1.4s

Counts: 69 → 69

prune998.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.2b

regimes215.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

552.0ms	1684×	body	1280	valid
328.0ms	4098×	body	80	valid
290.0ms	1319×	body	640	valid
95.0ms	590×	body	320	valid
29.0ms	309×	body	160	valid