Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	237×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (73.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	57	9
3	139	8
4	209	8
5	236	7
6	248	7
7	284	7
8	335	7
9	390	7
10	485	7
11	628	7
12	1123	7
13	3605	7
done	5001	7

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y 2 (fma 3 x z))
0.1b	(fma 3 x z)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma y 2 (fma 3 x z))
0.0ms	(fma 3 x z)

series48.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(fma y 2 (fma 3 x z))
23.0ms	(fma 3 x z)

simplify609.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	31	204
1	40	198
2	87	173
3	290	173
4	1222	173
done	5000	173

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b	(+ (+ (+ x y) y) x)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
38×	`distribute-lft-out`
37×	`add-log-exp`
24×	`sum-log`
16×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

3 → 75

Calls

3 calls:

17.0ms	(+ (+ x y) y)
1.2s	(+ (+ (+ (+ (+ x y) y) x) z) x)
74.0ms	(+ (+ (+ x y) y) x)

series80.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (+ x y) y)
22.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
33.0ms	(+ (+ (+ x y) y) x)

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: 3 (489.0ms)

Iter	Nodes	Cost
0	94	772
1	267	720
2	867	563
3	4460	516
done	5000	516

prune153.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x 3 (fma 2 y z))

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 3 (fma 2 y z))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma x 3 (fma 2 y z))

simplify810.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	21	126
1	28	120
2	73	106
3	323	106
4	1737	106
done	5001	106

prune34.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
done	7	7

end0.0ms

sample409.0ms

Algorithm

intervals

Results

186.0ms	7371×	body	80	valid
29.0ms	197×	body	1280	valid
18.0ms	200×	body	640	valid
9.0ms	131×	body	320	valid
5.0ms	37×	body	2560	valid
3.0ms	69×	body	160	valid