Details

sample36.0ms

Algorithm

intervals

Results

13.0ms	242×	body	80	valid
2.0ms	8×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid

simplify349.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (204.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	66	11
3	208	9
4	419	8
5	469	7
6	475	7
done	475	7

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite3.2s

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:

198.0ms	(+ (+ (+ x y) y) x)
2.9s	(+ (+ (+ (+ (+ x y) y) x) z) x)
57.0ms	(+ (+ x y) y)

series113.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (+ (+ x y) y) x)
33.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
39.0ms	(+ (+ x y) y)

simplify732.0ms

Counts

84 → 84

Iterations

Useful iterations: done (728.0ms)

Iter	Nodes	Cost
0	94	772
1	262	720
2	1165	607
done	5001	596

prune233.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 3 x (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:

1.0ms

(fma 3 x (fma 2 y z))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma 3 x (fma 2 y z))

simplify2.9s

Counts

13 → 13

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	20	126
1	29	120
2	76	106
3	420	106
4	3397	106
done	5000	106

prune70.0ms

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

sample851.0ms

Algorithm

intervals

Results

312.0ms	7445×	body	80	valid
120.0ms	179×	body	640	valid
34.0ms	60×	body	160	valid
30.0ms	175×	body	1280	valid
13.0ms	123×	body	320	valid
7.0ms	31×	body	2560	valid