Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	67×	body	1280	valid
5.0ms	42×	body	640	valid
4.0ms	118×	body	80	valid
1.0ms	16×	body	320	valid
1.0ms	13×	body	160	valid

simplify10.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

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

71.0ms	(- (cbrt (+ x 1)) (cbrt x))
5.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series456.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

277.0ms	(cbrt x)
138.0ms	(- (cbrt (+ x 1)) (cbrt x))
41.0ms	(cbrt (+ x 1))

simplify1.1s

Counts: 111 → 111

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

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×	`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

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

series613.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

261.0ms	(cbrt x)
257.0ms	(cbrt x)
48.0ms	(cbrt (+ 1 x))
47.0ms	(cbrt (+ 1 x))

simplify931.0ms

Counts: 74 → 74

prune684.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.3b

localize58.0ms

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)

series641.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

259.0ms	(cbrt x)
255.0ms	(cbrt x)
64.0ms	(cbrt (+ 1 x))
64.0ms	(cbrt (+ 1 x))

simplify878.0ms

Counts: 74 → 74

prune956.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.3b

localize98.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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 → 57

Calls

4 calls:

Slowest

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

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

675.0ms	(cbrt x)
403.0ms	(cbrt (* (cbrt x) (cbrt x)))
379.0ms	(cbrt (cbrt x))
301.0ms	(cbrt x)

simplify758.0ms

Counts: 69 → 69

prune1.1s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.2b

regimes197.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

549.0ms	1684×	body	1280	valid
296.0ms	4098×	body	80	valid
263.0ms	1319×	body	640	valid
85.0ms	590×	body	320	valid
30.0ms	309×	body	160	valid