Details

sample35.0ms

Algorithm

intervals

Results

21.0ms

433×

body

valid

simplify46.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	9	243
1	18	218
2	45	178
3	77	153
4	85	153
5	93	153
done	93	153

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

43.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
7.0ms	(+ (* x x) (* (* x 2.0) y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
55.0ms	(+ (* x x) (* (* x 2.0) y))

simplify2.0s

Counts

38 → 38

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	61	11976
1	223	8893
2	1562	7778
done	5000	7013

prune219.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x (fma y 2.0 x) (* y y))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(fma x (fma y 2.0 x) (* y y))

simplify4.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (940.0ms)

Iter	Nodes	Cost
0	23	3887
1	43	2864
2	129	2714
3	548	2669
4	4105	2594
done	5000	2594

prune87.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
5.1b	(cbrt (fma x (fma y 2.0 x) (* y y)))
5.1b	(cbrt (fma x (fma y 2.0 x) (* y y)))
5.1b	(cbrt (fma x (fma y 2.0 x) (* y y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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 x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
1.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))

series938.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
251.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
234.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
236.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))

simplify3.3s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	93	35188
1	211	31229
2	812	31204
3	4571	30524
done	5000	30524

prune428.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	153
done	6	153

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

14298×

body

valid