Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

441×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	4
1	33	3
2	41	3
3	41	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
27×	`distribute-lft-out`
21×	`associate-l`
15×	`fma-def`
6×	`add-log-exp`
5×	`*-commutative`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`distribute-rgt-out` `associate-r` `sum-log`
2×	`+-commutative` `associate-+l+`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 41

Calls

1 calls:

27.0ms

(+ (+ (* x 2.0) (* x x)) (* y y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(+ (+ (* x 2.0) (* x x)) (* y y))

simplify78.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	125	174
1	610	142
2	2938	135
3	5001	133

prune47.0ms

Filtered

44 candidates to 23 candidates (52.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	45	1	46

Merged error: 0b

Counts

46 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

8.0ms	(+ (* x 2.0) (fma x x (* y y)))
1.0ms	(fma x x (* y y))

series74.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* x 2.0) (fma x x (* y y)))
38.0ms	(fma x x (* y y))

simplify58.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	113	151
1	424	134
2	1813	134
3	5001	134

prune72.0ms

Filtered

44 candidates to 35 candidates (79.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	1	45

Merged error: 0b

Counts

45 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample524.0ms

Algorithm

intervals

Results

321.0ms

14000×

body

valid