Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	56×	body	1280	valid
6.0ms	45×	body	640	valid
4.0ms	120×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	15×	body	160	valid

simplify19.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize22.0ms

Local error

Found 3 expressions with local error:

3.7b	(- (cbrt (+ x 1)) (cbrt x))
0.6b	(cbrt x)
0.3b	(cbrt (+ x 1))

rewrite36.0ms

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

29.0ms	(- (cbrt (+ x 1)) (cbrt x))
5.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series418.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

243.0ms	(cbrt x)
125.0ms	(- (cbrt (+ x 1)) (cbrt x))
50.0ms	(cbrt (+ x 1))

simplify1.6s

Counts: 56 → 56

prune427.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

Slowest

5.0ms	(cbrt (+ 1 x))
5.0ms	(cbrt (+ 1 x))
2.0ms	(cbrt x)
1.0ms	(cbrt x)

series687.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

323.0ms	(cbrt x)
292.0ms	(cbrt x)
36.0ms	(cbrt (+ 1 x))
36.0ms	(cbrt (+ 1 x))

simplify727.0ms

Counts: 66 → 66

prune660.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

Slowest

2.0ms	(cbrt (+ 1 x))
2.0ms	(cbrt (+ 1 x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series660.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

318.0ms	(cbrt x)
244.0ms	(cbrt x)
62.0ms	(cbrt (+ 1 x))
34.0ms	(cbrt (+ 1 x))

simplify882.0ms

Counts: 66 → 66

prune904.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.2b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

Slowest

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

series722.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

324.0ms	(cbrt x)
280.0ms	(cbrt x)
69.0ms	(cbrt (+ 1 x))
50.0ms	(cbrt (+ 1 x))

simplify816.0ms

Counts: 66 → 66

prune786.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.2b

regimes102.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

522.0ms	1768×	body	1280	valid
506.0ms	619×	body	320	valid
339.0ms	1293×	body	640	valid
233.0ms	4007×	body	80	valid
32.0ms	313×	body	160	valid