Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

441×

body

valid

simplify79.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	9	13
1	18	12
2	45	10
3	78	9
4	86	9
5	94	9
done	94	9

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`fma-def` `sum-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 32

Calls

2 calls:

54.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
13.0ms	(+ (* x x) (* (* x 2.0) y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
56.0ms	(+ (* x x) (* (* x 2.0) y))

simplify1.4s

Counts

38 → 38

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	62	573
1	227	486
2	1682	387
done	5001	366

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

13.0ms	(+ (* x (fma y 2.0 x)) (* y y))
9.0ms	(* x (fma y 2.0 x))

series102.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x (fma y 2.0 x)) (* y y))
61.0ms	(* x (fma y 2.0 x))

simplify770.0ms

Counts

44 → 44

Iterations

Useful iterations: done (769.0ms)

Iter	Nodes	Cost
0	69	494
1	194	456
2	890	410
done	5000	398

prune94.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt (fma y (fma x 2.0 y) (* x x))) (cbrt (fma y (fma x 2.0 y) (* x x))))
1.0ms	(cbrt (fma y (fma x 2.0 y) (* x x)))
1.0ms	(cbrt (fma y (fma x 2.0 y) (* x x)))
1.0ms	(cbrt (fma y (fma x 2.0 y) (* x x)))

series776.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (fma y (fma x 2.0 y) (* x x))) (cbrt (fma y (fma x 2.0 y) (* x x))))
206.0ms	(cbrt (fma y (fma x 2.0 y) (* x x)))
198.0ms	(cbrt (fma y (fma x 2.0 y) (* x x)))
197.0ms	(cbrt (fma y (fma x 2.0 y) (* x x)))

simplify3.9s

Counts

93 → 93

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	93	1834
1	210	1708
2	803	1562
3	4592	1350
done	5000	1346

prune340.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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

sample1.5s

Algorithm

intervals

Results

934.0ms

14247×

body

valid