Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

455×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

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

rewrite11.0ms

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:

6.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
4.0ms	(+ (* x x) (* (* x 2.0) y))

series69.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
45.0ms	(+ (* x x) (* (* x 2.0) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (35.0ms)

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

prune93.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

3.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))
1.0ms	(fma x x (* (* x 2.0) y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))
46.0ms	(fma x x (* (* x 2.0) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	121	188
1	478	167
2	1983	156
3	5002	149

prune79.0ms

Filtered

33 candidates to 27 candidates (81.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Merged error: 0b

Counts

35 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

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

series71.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) (* (fma 2.0 x y) y))
43.0ms	(* (fma 2.0 x y) y)

simplify106.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	165	192
1	662	162
2	4080	156
3	5001	156

prune79.0ms

Filtered

40 candidates to 28 candidates (70.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	2	42

Merged error: 0b

Counts

42 → 2

regimes25.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample595.0ms

Algorithm

intervals

Results

377.0ms

14150×

body

valid