Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune1.0ms

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 (+ x y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

1 → 5

Calls

1 calls:

3.0ms

(/ x (+ x y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(/ x (+ x y))

simplify114.0ms

Algorithm

egg-herbie

Counts

8 → 8

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	35	15
1	54	15
2	100	15
3	200	15
4	791	15
5	2454	15
6	5002	15

prune14.0ms

Filtered

8 candidates to 6 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Merged error: 0b

Counts

9 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) x)
0.4b	(/ 1 (/ (+ x y) x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r/`
4×	`clear-num` `associate-/l/`
3×	`frac-2neg` `div-inv`
2×	`flip3-+` `flip-+`
1×	`associate-/r*` `remove-double-div` `inv-pow`

Counts

2 → 16

Calls

2 calls:

3.0ms	(/ (+ x y) x)
4.0ms	(/ 1 (/ (+ x y) x))

series64.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (+ x y) x)
38.0ms	(/ 1 (/ (+ x y) x))

simplify129.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	71	43
1	154	42
2	491	42
3	1309	42
4	4329	42
5	5001	42

prune30.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

2.4b	(+ (pow x 3) (pow y 3))
2.7b	(- (* y y) (* x y))
7.2b	(/ x (+ (pow x 3) (pow y 3)))
36.7b	(* (/ x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

8×	`frac-times` `flip3-+` `flip-+`
5×	`sum-cubes` `*-commutative`
4×	`distribute-rgt-in` `associate-+r+` `frac-2neg` `distribute-lft-in` `associate-l/` `clear-num` `associate-/r` `associate-/r/`
3×	`+-commutative` `sub-neg` `associate-l`
2×	`distribute-rgt-out--` `associate-*r/` `div-inv` `distribute-lft-out--`
1×	`flip3--` `flip--`

Counts

4 → 44

Calls

4 calls:

4.0ms	(+ (pow x 3) (pow y 3))
4.0ms	(- (* y y) (* x y))
4.0ms	(/ x (+ (pow x 3) (pow y 3)))
12.0ms	(* (/ x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (pow x 3) (pow y 3))
36.0ms	(- (* y y) (* x y))
41.0ms	(/ x (+ (pow x 3) (pow y 3)))
84.0ms	(* (/ x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	354	482
1	1700	458
2	5003	434

prune119.0ms

Filtered

56 candidates to 36 candidates (64.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	56	3	59

Merged error: 0b

Counts

59 → 3

regimes43.0ms

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	5	2
1	5	2

end0.0ms

sample255.0ms

Algorithm

intervals

Results

130.0ms

8000×

body

valid