Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

443×

body

valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	9	13
1	18	12
2	45	10
3	75	9
4	77	9
done	77	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	23	165
1	43	165
2	101	135
3	313	135
4	1664	135
done	5000	135

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite78.0ms

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:

68.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
9.0ms	(+ (* x x) (* (* x 2.0) y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
55.0ms	(+ (* x x) (* (* x 2.0) y))

simplify3.6s

Counts

38 → 38

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	62	573
1	203	480
2	861	387
3	4179	360
done	5000	360

prune172.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

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

series110.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))
69.0ms	(fma x x (* (* x 2.0) y))

simplify1.6s

Counts

33 → 33

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	48	447
1	122	414
2	367	324
3	1522	298
done	5000	297

prune141.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12
done	11	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

14215×

body

valid