Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	56×	body	1280	valid
8.0ms	45×	body	640	valid
5.0ms	120×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	15×	body	160	valid

simplify11.0ms

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 102

Calls

3 calls:

Slowest

30.0ms	(- (cbrt (+ x 1)) (cbrt x))
3.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series514.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

312.0ms	(cbrt x)
142.0ms	(- (cbrt (+ x 1)) (cbrt x))
60.0ms	(cbrt (+ x 1))

simplify1.2s

Counts: 111 → 111

prune770.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize42.0ms

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×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 62

Calls

4 calls:

Slowest

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

series558.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

237.0ms	(cbrt x)
229.0ms	(cbrt x)
56.0ms	(cbrt (+ 1 x))
35.0ms	(cbrt (+ 1 x))

simplify869.0ms

Counts: 74 → 74

prune843.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

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

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

284.0ms	(cbrt x)
273.0ms	(cbrt x)
268.0ms	(cbrt x)
235.0ms	(cbrt x)

simplify2.9s

Counts: 68 → 68

prune890.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize43.0ms

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×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 62

Calls

4 calls:

Slowest

3.0ms	(cbrt (+ 1 x))
2.0ms	(cbrt (+ 1 x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series604.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

275.0ms	(cbrt x)
258.0ms	(cbrt x)
36.0ms	(cbrt (+ 1 x))
35.0ms	(cbrt (+ 1 x))

simplify790.0ms

Counts: 74 → 74

prune963.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.2b

regimes78.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

800.0ms	1768×	body	1280	valid
336.0ms	1293×	body	640	valid
240.0ms	4007×	body	80	valid
86.0ms	619×	body	320	valid
27.0ms	313×	body	160	valid