Details

sample56.0ms

Algorithm

intervals

Results

29.0ms

441×

body

valid

simplify47.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify408.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
3	547
2	127
1	42
0	23

prune65.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite50.0ms

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:

42.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
7.0ms	(+ (* x x) (* (* x 2.0) y))

series107.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
79.0ms	(+ (* x x) (* (* x 2.0) y))

simplify1.4s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	1562
1	223
0	61

prune152.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

0.0ms	(fma x x (* (* x 2.0) y))
9.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(fma x x (* (* x 2.0) y))
31.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))

simplify732.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	5002
2	730
1	130
0	47

prune153.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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` `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 → 32

Calls

2 calls:

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

series119.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma y y (* x (fma 2.0 y x)))
61.0ms	(* x (fma 2.0 y x))

simplify1.7s

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
3	2981
2	421
1	112
0	55

prune170.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

14079×

body

valid