Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	49×	body	1280	valid
5.0ms	48×	body	640	valid
3.0ms	124×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid

simplify13.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.7b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite50.0ms

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)
44.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series444.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(cbrt (+ x 1.0))
192.0ms	(cbrt x)
160.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify155.0ms

Counts: 53 → 53

prune170.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.6b	(cbrt x)
3.6b	(pow x 2/3)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`cbrt-prod`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
8×	`cbrt-div`
7×	`pow1` `add-exp-log` `flip3-+` `associate-l` `flip-+`
6×	`associate-r` `distribute-lft-out`
5×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow1/3` `associate-r/` `associate-l/` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

4.0ms	(cbrt (+ x 1.0))
121.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
1.0ms	(cbrt x)
3.0ms	(pow x 2/3)

series742.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (+ x 1.0))
243.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
208.0ms	(cbrt x)
194.0ms	(pow x 2/3)

simplify66.0ms

Counts: 90 → 90

prune350.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.6b	(cbrt x)
29.5b	(cbrt (pow x 2))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
22×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
8×	`cbrt-div`
7×	`flip3-+` `associate-l` `flip-+`
6×	`pow1` `add-exp-log` `associate-r` `distribute-lft-out`
5×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`unpow-prod-down` `pow1/3`
2×	`associate-r/` `associate-l/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

4.0ms	(cbrt (+ x 1.0))
116.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
1.0ms	(cbrt x)
2.0ms	(cbrt (pow x 2))

series764.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (+ x 1.0))
252.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
205.0ms	(cbrt x)
216.0ms	(cbrt (pow x 2))

simplify65.0ms

Counts: 89 → 89

prune377.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (pow (cbrt x) 2))
14.9b	(cbrt (pow (* (cbrt x) (cbrt x)) 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`unpow2` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
3.0ms	(cbrt (pow (cbrt x) 2))
3.0ms	(cbrt (pow (* (cbrt x) (cbrt x)) 2))

series1.1s

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt x)
206.0ms	(cbrt x)
314.0ms	(cbrt (pow (cbrt x) 2))
328.0ms	(cbrt (pow (* (cbrt x) (cbrt x)) 2))

simplify62.0ms

Counts: 67 → 67

prune303.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

regimes67.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

558.0ms	1719×	body	1280	valid
227.0ms	4059×	body	80	valid
173.0ms	1265×	body	640	valid
50.0ms	629×	body	320	valid
17.0ms	328×	body	160	valid