Details

sample45.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
12.0ms	279×	body	80	nan

simplify35.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite89.0ms

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:

13.0ms	(+ (* x y) (* x z))
29.0ms	(+ (+ (* x y) (* x z)) (* y z))
45.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* x y) (* x z))
32.0ms	(+ (+ (* x y) (* x z)) (* y z))
131.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.8s

Counts: 49 → 49

prune201.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 17.5b

localize32.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite180.0ms

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:

44.0ms	(+ (+ (* x y) (* x z)) (* y z))
37.0ms	(+ (+ (* x y) (* x z)) (* y z))
42.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
53.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (+ (* x y) (* x z)) (* y z))
40.0ms	(+ (+ (* x y) (* x z)) (* y z))
164.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
153.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.4s

Counts: 68 → 68

prune315.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 17.5b

localize26.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

38.0ms	(+ (+ (* x y) (* x z)) (* y z))
44.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
24.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
30.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series808.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ (* x y) (* x z)) (* y z))
160.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
329.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
288.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.7s

Counts: 66 → 66

prune366.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 17.4b

localize33.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqrt-div`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 58

Calls

4 calls:

33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
29.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
42.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
23.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series664.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
130.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
141.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
247.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.2s

Counts: 70 → 70

prune419.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 17.4b

regimes526.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify44.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

979.0ms	7961×	body	80	nan
545.0ms	8000×	body	80	valid