Details

sample43.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
10.0ms	258×	body	80	nan

simplify4.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize11.0ms

Local error

Found 3 expressions with local error:

1.6b	(+ (* x y) (* x z))
2.2b	(+ (+ (* x y) (* x z)) (* y z))
21.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

8.0ms	(+ (* x y) (* x z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
47.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
126.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify113.0ms

Counts: 49 → 49

prune136.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 22.7b

localize15.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (+ (* x y) (* x z)) (* y z))
2.2b	(+ (+ (* x y) (* x z)) (* y z))
21.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
21.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

31.0ms	(+ (+ (* x y) (* x z)) (* y z))
28.0ms	(+ (+ (* x y) (* x z)) (* y z))
35.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
29.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
29.0ms	(+ (+ (* x y) (* x z)) (* y z))
121.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
118.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify92.0ms

Counts: 68 → 68

prune254.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.7b

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (+ (* x y) (* x z)) (* y z))
2.2b	(+ (+ (* x y) (* x z)) (* y z))
22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `associate-+l+` `pow1/3`

Counts

4 → 52

Calls

4 calls:

31.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ (* x y) (* x z)) (* y z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
235.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
238.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify83.0ms

Counts: 64 → 64

prune256.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 22.7b

localize29.0ms

Local error

Found 4 expressions with local error:

22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
24.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series950.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
236.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
234.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
238.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify59.0ms

Counts: 64 → 64

prune355.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 22.7b

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 20.1b against oracle of 20.0b and baseline of 20.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

779.0ms	8000×	body	80	valid
438.0ms	8026×	body	80	nan