Details

sample49.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
10.0ms	233×	body	80	nan

simplify38.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
0.8b	(+ (+ (* x y) (* x z)) (* y z))
14.7b	(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:

11.0ms	(+ (* x y) (* x z))
43.0ms	(+ (+ (* x y) (* x z)) (* y z))
34.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (* x y) (* x z))
33.0ms	(+ (+ (* x y) (* x z)) (* y z))
140.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.2s

Counts: 49 → 49

prune168.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 15.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (+ z x))
0.8b	(+ (* z x) (* y (+ z x)))
14.7b	(sqrt (+ (* z x) (* y (+ z x))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`flip3-+` `associate-l` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

22.0ms	(* y (+ z x))
14.0ms	(+ (* z x) (* y (+ z x)))
9.0ms	(sqrt (+ (* z x) (* y (+ z x))))

series217.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* y (+ z x))
30.0ms	(+ (* z x) (* y (+ z x)))
148.0ms	(sqrt (+ (* z x) (* y (+ z x))))

simplify560.0ms

Counts: 60 → 60

prune191.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 15.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z x))
0.5b	(cbrt (+ z x))
0.8b	(+ (* z x) (* (* y (* (cbrt (+ z x)) (cbrt (+ z x)))) (cbrt (+ z x))))
14.7b	(sqrt (+ (* z x) (* (* y (* (cbrt (+ z x)) (cbrt (+ z x)))) (cbrt (+ z x)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

6.0ms	(cbrt (+ z x))
4.0ms	(cbrt (+ z x))
11.0ms	(+ (* z x) (* (* y (* (cbrt (+ z x)) (cbrt (+ z x)))) (cbrt (+ z x))))
13.0ms	(sqrt (+ (* z x) (* (* y (* (cbrt (+ z x)) (cbrt (+ z x)))) (cbrt (+ z x)))))

series606.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (+ z x))
157.0ms	(cbrt (+ z x))
70.0ms	(+ (* z x) (* (* y (* (cbrt (+ z x)) (cbrt (+ z x)))) (cbrt (+ z x))))
186.0ms	(sqrt (+ (* z x) (* (* y (* (cbrt (+ z x)) (cbrt (+ z x)))) (cbrt (+ z x)))))

simplify2.4s

Counts: 66 → 66

prune324.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 15.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (+ (* x y) (* x z)) (* y z))
0.8b	(+ (+ (* x y) (* x z)) (* y z))
14.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
14.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite211.0ms

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:

37.0ms	(+ (+ (* x y) (* x z)) (* y z))
53.0ms	(+ (+ (* x y) (* x z)) (* y z))
62.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
56.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (+ (* x y) (* x z)) (* y z))
50.0ms	(+ (+ (* x y) (* x z)) (* y z))
197.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
174.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.7s

Counts: 68 → 68

prune362.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 15.4b

regimes333.0ms

Accuracy

0% (0.2b remaining)

Error of 20.5b against oracle of 20.3b and baseline of 20.5b

bsearch0.0ms

simplify47.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
742.0ms	8103×	body	80	nan