Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

441×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	37	11
3	47	11
done	47	11

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b	(+ (* x x) (* (* x 2.0) y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

38.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
18.0ms	(+ (* x x) (* (* x 2.0) y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
61.0ms	(+ (* x x) (* (* x 2.0) y))

simplify999.0ms

Counts

30 → 30

Iterations

Useful iterations: 2 (205.0ms)

Iter	Nodes	Cost
0	58	525
1	214	466
2	1554	381
done	5000	381

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y y) (* x (+ (* 2.0 y) x)))
0.0b	(* x (+ (* 2.0 y) x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

15.0ms	(+ (* y y) (* x (+ (* 2.0 y) x)))
31.0ms	(* x (+ (* 2.0 y) x))

series71.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* y y) (* x (+ (* 2.0 y) x)))
41.0ms	(* x (+ (* 2.0 y) x))

simplify799.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	73	527
1	252	499
2	1440	447
done	5002	447

prune104.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))))
5.0b	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.0b	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.0b	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

54.0ms	(* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))))
5.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
7.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))

series652.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))))
142.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
145.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
174.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))

simplify730.0ms

Counts

99 → 99

Iterations

Useful iterations: done (726.0ms)

Iter	Nodes	Cost
0	118	2760
1	297	2563
2	1400	2311
done	5000	2118

prune398.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
done	13	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

14247×

body

valid