Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	226×	body	80	valid
2.0ms	12×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	2560	valid
1.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify545.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (329.0ms)

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

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:

1.0ms	(fma y 2 (fma 3 x z))
1.0ms	(fma 3 x z)

series75.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(fma y 2 (fma 3 x z))
48.0ms	(fma 3 x z)

simplify3.2s

Counts

26 → 26

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	31	204
1	43	198
2	115	173
3	496	173
4	3356	173
done	5000	173

prune140.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite3.6s

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:

3.3s	(+ (+ (+ (+ (+ x y) y) x) z) x)
45.0ms	(+ (+ x y) y)
218.0ms	(+ (+ (+ x y) y) x)

series147.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
43.0ms	(+ (+ x y) y)
58.0ms	(+ (+ (+ x y) y) x)

simplify847.0ms

Counts

84 → 84

Iterations

Useful iterations: done (844.0ms)

Iter	Nodes	Cost
0	94	772
1	267	720
2	1168	607
done	5000	596

prune363.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(fma 3 x (fma y 2 z))

simplify994.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	20	126
1	30	120
2	92	106
3	669	106
done	5000	106

prune64.0ms

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

sample1.1s

Algorithm

intervals

Results

509.0ms	7411×	body	80	valid
72.0ms	196×	body	1280	valid
29.0ms	167×	body	640	valid
17.0ms	131×	body	320	valid
9.0ms	34×	body	2560	valid
6.0ms	71×	body	160	valid