Details

sample48.0ms

Algorithm

intervals

Results

23.0ms

433×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
5	93
4	85
3	77
2	45
1	18
0	9

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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))

rewrite67.0ms

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:

52.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
14.0ms	(+ (* x x) (* (* x 2.0) y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
62.0ms	(+ (* x x) (* (* x 2.0) y))

simplify1.7s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	1562
1	223
0	61

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

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:

1.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify4.0s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	4105
3	548
2	129
1	43
0	23

prune50.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

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)))

rewrite13.0ms

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:

9.0ms	(* (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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
208.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
493.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
177.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))

simplify3.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4571
2	812
1	211
0	93

prune392.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

913.0ms

14298×

body

valid