Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 8

Calls

1 calls:

4.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify94.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	73	31
1	169	31
2	431	31
3	1532	27
4	3893	27
5	5001	27

prune31.0ms

Filtered

11 candidates to 10 candidates (90.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	9	2	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	3	12

Merged error: 0.0b

Counts

12 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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×	`remove-double-div` `inv-pow`

Counts

2 → 20

Calls

2 calls:

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

series140.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ 1 (/ (+ x y) (- x y)))
68.0ms	(/ (+ x y) (- x y))

simplify39.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	85	67
1	251	66
2	1026	56
3	5001	55

prune49.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ (+ (pow x 3) (pow y 3)) (* (fma y (- y x) (* x x)) (- x y))))
0.1b	(* (fma y (- y x) (* x x)) (- x y))
4.0b	(+ (pow x 3) (pow y 3))
39.7b	(/ (+ (pow x 3) (pow y 3)) (* (fma y (- y x) (* x x)) (- x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-/r/`
9×	`associate-/r*`
7×	`sum-cubes`
6×	`associate-*r/`
5×	`*-commutative`
4×	`times-frac` `clear-num` `associate-/l/`
3×	`flip3--` `frac-2neg` `flip3-+` `flip--` `flip-+` `div-inv`
2×	`distribute-rgt-in` `sub-neg` `fma-def` `distribute-lft-in` `associate-/l*`
1×	`+-commutative` `unpow3` `remove-double-div` `inv-pow` `sqr-pow`

Counts

4 → 43

Calls

4 calls:

8.0ms	(/ 1 (/ (+ (pow x 3) (pow y 3)) (* (fma y (- y x) (* x x)) (- x y))))
3.0ms	(* (fma y (- y x) (* x x)) (- x y))
4.0ms	(+ (pow x 3) (pow y 3))
8.0ms	(/ (+ (pow x 3) (pow y 3)) (* (fma y (- y x) (* x x)) (- x y)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(/ 1 (/ (+ (pow x 3) (pow y 3)) (* (fma y (- y x) (* x x)) (- x y))))
51.0ms	(* (fma y (- y x) (* x x)) (- x y))
55.0ms	(+ (pow x 3) (pow y 3))
113.0ms	(/ (+ (pow x 3) (pow y 3)) (* (fma y (- y x) (* x x)) (- x y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	201	339
1	835	313
2	5001	307

prune148.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	55	3	58

Merged error: 0.0b

Counts

58 → 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	6	3
1	6	3

end0.0ms

sample267.0ms

Algorithm

intervals

Results

145.0ms

8000×

body

valid