Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

Calls

1 calls:

4.0ms

(/ (+ x y) (- x y))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(/ (+ x y) (- x y))

simplify41.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	65	28
1	158	28
2	433	24
3	1589	24
4	5002	24

prune21.0ms

Filtered

10 candidates to 9 candidates (90.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	7	3	10
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	8	3	11

Merged error: 0.0b

Counts

11 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 21

Calls

2 calls:

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

series123.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- x y) (+ x y))
61.0ms	(/ 1 (/ (- x y) (+ x y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	95	70
1	278	69
2	1095	67
3	4011	59
4	5001	59

prune50.0ms

Filtered

27 candidates to 21 candidates (77.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x y))
0.1b	(* (/ 1 (- x y)) (+ x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times`
4×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+`
3×	`associate-l` `associate-*l/`
2×	`+-commutative` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `div-inv`
1×	`*-commutative` `inv-pow`

Counts

2 → 25

Calls

2 calls:

3.0ms	(/ 1 (- x y))
5.0ms	(* (/ 1 (- x y)) (+ x y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (- x y))
63.0ms	(* (/ 1 (- x y)) (+ x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	176	112
1	738	103
2	2767	97
3	5001	96

prune48.0ms

Filtered

31 candidates to 21 candidates (67.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

1.8b	(fma x x (- (* y y) (* x y)))
3.1b	(- (* y y) (* x y))
4.0b	(+ (pow x 3) (pow y 3))
39.7b	(/ (+ (pow x 3) (pow y 3)) (* (fma x x (- (* y y) (* x y))) (- x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-commutative`
4×	`prod-diff` `sum-cubes`
2×	`flip3--` `distribute-rgt-out--` `fma-def` `flip3-+` `times-frac` `fma-neg` `associate-r/` `associate-/r` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `frac-2neg` `unpow3` `clear-num` `fma-udef` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 33

Calls

4 calls:

1.0ms	(fma x x (- (* y y) (* x y)))
4.0ms	(- (* y y) (* x y))
4.0ms	(+ (pow x 3) (pow y 3))
7.0ms	(/ (+ (pow x 3) (pow y 3)) (* (fma x x (- (* y y) (* x y))) (- x y)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma x x (- (* y y) (* x y)))
29.0ms	(- (* y y) (* x y))
48.0ms	(+ (pow x 3) (pow y 3))
109.0ms	(/ (+ (pow x 3) (pow y 3)) (* (fma x x (- (* y y) (* x y))) (- x y)))

simplify116.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	198	231
1	776	202
2	4427	196
3	5001	196

prune90.0ms

Filtered

45 candidates to 28 candidates (62.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

regimes28.0ms

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	10	4
1	10	4

end0.0ms

sample266.0ms

Algorithm

intervals

Results

146.0ms

8000×

body

valid