Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

455×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	18	5
1	46	4
2	77	4
3	87	3
4	87	3

prune6.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

4.0ms	(+ (* x x) (* (* x 2.0) y))
10.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series65.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x x) (* (* x 2.0) y))
25.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify39.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	204	251
1	1082	223
2	5002	196

prune96.0ms

Filtered

38 candidates to 30 candidates (78.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

4.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	120	111
1	501	92
2	2393	86
3	5001	86

prune39.0ms

Filtered

17 candidates to 13 candidates (76.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	18	1	19

Merged error: 0b

Counts

19 → 1

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0b

Counts

1 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample610.0ms

Algorithm

intervals

Results

385.0ms

14072×

body

valid