Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
9.0ms	218×	body	80	nan

simplify53.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
16.9b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite106.0ms

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))
54.0ms	(+ (+ (* x y) (* x z)) (* y z))
37.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series229.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
158.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.0s

Counts: 49 → 49

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 17.8b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
16.9b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.9b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite188.0ms

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:

40.0ms	(+ (+ (* x y) (* x z)) (* y z))
49.0ms	(+ (+ (* x y) (* x z)) (* y z))
46.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
51.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (+ (* x y) (* x z)) (* y z))
37.0ms	(+ (+ (* x y) (* x z)) (* y z))
147.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
143.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.3s

Counts: 68 → 68

prune348.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 17.8b

localize33.0ms

Local error

Found 4 expressions with local error:

16.9b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.9b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.9b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.9b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

43.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
47.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
37.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
39.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
144.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
132.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
152.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify817.0ms

Counts: 72 → 72

prune339.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 17.8b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
17.5b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.5b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite111.0ms

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:

33.0ms	(+ (+ (* x y) (* x z)) (* y z))
32.0ms	(+ (+ (* x y) (* x z)) (* y z))
18.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
26.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (+ (* x y) (* x z)) (* y z))
36.0ms	(+ (+ (* x y) (* x z)) (* y z))
310.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
229.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.4s

Counts: 64 → 64

prune339.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 17.8b

regimes306.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify51.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

882.0ms	8000×	body	80	valid
653.0ms	8079×	body	80	nan