Details

sample36.0ms

Algorithm

intervals

Results

26.0ms

462×

body

valid

simplify45.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	80
4	80
3	77
2	44
1	18
0	9

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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-+` `insert-posit16` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 34

Calls

2 calls:

8.0ms	(+ (* x x) (* (* x 2.0) y))
26.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* x x) (* (* x 2.0) y))
48.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify2.9s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
3	4550
2	870
1	206
0	63

prune164.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

5.0ms	(* y (fma 2.0 x y))
0.0ms	(fma x x (* y (fma 2.0 x y)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* y (fma 2.0 x y))
36.0ms	(fma x x (* y (fma 2.0 x y)))

simplify1.8s

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
3	1043
2	272
1	114
0	58

prune121.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
8.5b	(cbrt (+ (* x x) (* (* x 2.0) y)))
8.5b	(cbrt (+ (* x x) (* (* x 2.0) y)))
8.5b	(cbrt (+ (* x x) (* (* x 2.0) y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

32.0ms	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
8.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
4.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
4.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
365.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
417.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
284.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))

simplify2.3s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	2071
2	676
1	252
0	107

prune637.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

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

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.5s

14116×

body

valid