Details

sample42.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
11.0ms	261×	body	80	nan

simplify38.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ (* x y) (* x z)) (* y z))
0.6b	(+ (* x y) (* x z))
14.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite128.0ms

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:

48.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(+ (* x y) (* x z))
66.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (+ (* x y) (* x z)) (* y z))
52.0ms	(+ (* x y) (* x z))
175.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.8s

Counts: 49 → 49

prune174.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 15.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* x y) (* x z))
0.6b	(+ (* x y) (* x z))
14.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
14.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

8.0ms	(+ (* x y) (* x z))
8.0ms	(+ (* x y) (* x z))
48.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
36.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* x y) (* x z))
58.0ms	(+ (* x y) (* x z))
182.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
163.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.5s

Counts: 66 → 66

prune398.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 15.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* x y) (* x z))
14.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
15.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

8.0ms	(+ (* x y) (* x z))
56.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
22.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
24.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series863.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* x y) (* x z))
171.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
334.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
305.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.6s

Counts: 65 → 65

prune563.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 15.3b

localize22.0ms

Local error

Found 4 expressions with local error:

11.2b	(cbrt (+ (* x y) (* x z)))
11.2b	(cbrt (+ (* x y) (* x z)))
11.2b	(cbrt (+ (* x y) (* x z)))
14.5b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (* x z)))
5.0ms	(cbrt (+ (* x y) (* x z)))
5.0ms	(cbrt (+ (* x y) (* x z)))
150.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series708.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (+ (* x y) (* x z)))
184.0ms	(cbrt (+ (* x y) (* x z)))
178.0ms	(cbrt (+ (* x y) (* x z)))
157.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify1.5s

Counts: 69 → 69

prune356.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 15.3b

regimes371.0ms

Accuracy

0% (0.1b remaining)

Error of 19.1b against oracle of 19.0b and baseline of 19.1b

bsearch0.0ms

simplify36.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
631.0ms	7889×	body	80	nan