Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

441×

body

valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

8.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	194	221
1	953	194
2	5002	180

prune59.0ms

Filtered

45 candidates to 21 candidates (46.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Merged error: 0.0b

Counts

46 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `sum-log`

Counts

3 → 73

Calls

3 calls:

6.0ms	(* y (+ x y))
6.0ms	(* x (+ x y))
7.0ms	(+ (* x (+ x y)) (* y (+ x y)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* y (+ x y))
29.0ms	(* x (+ x y))
29.0ms	(+ (* x (+ x y)) (* y (+ x y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	371	403
1	2121	342
2	5002	336

prune137.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	83	3	86

Merged error: 0b

Counts

86 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (fma (* 2 x) y (pow y 2)))
0.0b	(fma (* 2 x) y (pow y 2))

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 x x (fma (* 2 x) y (pow y 2)))
1.0ms	(fma (* 2 x) y (pow y 2))

series73.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(fma x x (fma (* 2 x) y (pow y 2)))
46.0ms	(fma (* 2 x) y (pow y 2))

simplify35.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	50	132
1	154	116
2	888	112
3	5001	107

prune62.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	27	2	29

Merged error: 0b

Counts

29 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (fma x 2 y) y (pow x 2))

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 (fma x 2 y) y (pow x 2))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (fma x 2 y) y (pow x 2))

simplify102.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	41	68
1	101	52
2	472	52
3	2627	52
4	5003	52

prune24.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	2	15

Merged error: 0b

Counts

15 → 2

regimes27.0ms

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	8	4
1	8	4

end0.0ms

sample457.0ms

Algorithm

intervals

Results

239.0ms

14177×

body

valid