Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	8
1	152	8
2	501	8
3	2153	8
4	5001	8

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: 19.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.1b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
30×	`associate-*l/`
26×	`associate-/r/`
18×	`associate-*r/`
14×	`*-commutative`
8×	`times-frac` `associate-l`
6×	`+-commutative` `distribute-rgt-in` `distribute-lft-in`
4×	`associate-+l+` `associate-/r*`
2×	`associate-/l*`
1×	`pow2` `frac-2neg` `clear-num` `div-inv`

Counts

3 → 94

Calls

3 calls:

4.0ms	(* (+ x y) (+ x y))
9.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
11.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
45.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
157.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	700	1085
1	3125	1068
2	5002	1068

prune230.0ms

Filtered

103 candidates to 71 candidates (68.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	5	104

Merged error: 3.7b

Counts

104 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ (+ x y) 1.0))
0.0b	(/ y (+ x y))
0.0b	(* (/ y (+ x y)) (/ x (* (+ x y) (+ (+ x y) 1.0))))
16.6b	(/ x (* (+ x y) (+ (+ x y) 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`frac-times`
20×	`flip3-+` `associate-/r/` `flip-+`
13×	`clear-num`
12×	`frac-2neg`
11×	`associate-*r/`
10×	`associate-/r*`
9×	`associate-r` `associate-*l/`
7×	`*-commutative`
4×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-inv`
3×	`associate-l`
1×	`un-div-inv`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (+ x y) (+ (+ x y) 1.0))
3.0ms	(/ y (+ x y))
10.0ms	(* (/ y (+ x y)) (/ x (* (+ x y) (+ (+ x y) 1.0))))
6.0ms	(/ x (* (+ x y) (+ (+ x y) 1.0)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ x y) (+ (+ x y) 1.0))
43.0ms	(/ y (+ x y))
158.0ms	(* (/ y (+ x y)) (/ x (* (+ x y) (+ (+ x y) 1.0))))
92.0ms	(/ x (* (+ x y) (+ (+ x y) 1.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	459	544
1	2525	536
2	5001	536

prune192.0ms

Filtered

84 candidates to 69 candidates (82.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	3	0	3
Picked	1	0	1
Done	1	0	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(* (/ y (+ x y)) (/ x (+ x y)))
0.0b	(/ y (+ x y))
0.0b	(/ (* (/ y (+ x y)) (/ x (+ x y))) (+ (+ x y) 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`clear-num`
19×	`frac-2neg`
18×	`frac-times`
16×	`associate-/l/`
14×	`associate-/r/`
8×	`associate-/l*`
7×	`flip3-+` `flip-+` `div-inv`
6×	`associate-r/` `associate-r` `associate-l` `associate-l/`
2×	`un-div-inv` `*-commutative`

Counts

4 → 62

Calls

4 calls:

3.0ms	(/ x (+ x y))
10.0ms	(* (/ y (+ x y)) (/ x (+ x y)))
3.0ms	(/ y (+ x y))
10.0ms	(/ (* (/ y (+ x y)) (/ x (+ x y))) (+ (+ x y) 1.0))

series345.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x (+ x y))
80.0ms	(* (/ y (+ x y)) (/ x (+ x y)))
38.0ms	(/ y (+ x y))
189.0ms	(/ (* (/ y (+ x y)) (/ x (+ x y))) (+ (+ x y) 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	290	328
1	1516	321
2	5001	321

prune147.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	75	4	79

Merged error: 0.0b

Counts

79 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ (+ x y) 1.0))
0.0b	(/ y (+ x y))
0.0b	(/ (/ x (+ (+ x y) 1.0)) (+ x y))
0.0b	(* (/ y (+ x y)) (/ (/ x (+ (+ x y) 1.0)) (+ x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

27×	`frac-times`
24×	`clear-num`
22×	`frac-2neg`
20×	`associate-/r/`
16×	`associate-/l/`
15×	`associate-/l*`
10×	`flip3-+` `flip-+` `div-inv`
9×	`associate-*r/`
3×	`associate-r` `associate-l` `associate-*l/`
2×	`un-div-inv`
1×	`*-commutative`

Counts

4 → 69

Calls

4 calls:

4.0ms	(/ x (+ (+ x y) 1.0))
3.0ms	(/ y (+ x y))
6.0ms	(/ (/ x (+ (+ x y) 1.0)) (+ x y))
10.0ms	(* (/ y (+ x y)) (/ (/ x (+ (+ x y) 1.0)) (+ x y)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x (+ (+ x y) 1.0))
42.0ms	(/ y (+ x y))
93.0ms	(/ (/ x (+ (+ x y) 1.0)) (+ x y))
159.0ms	(* (/ y (+ x y)) (/ (/ x (+ (+ x y) 1.0)) (+ x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	391	505
1	1963	484
2	5002	484

prune148.0ms

Filtered

81 candidates to 60 candidates (74.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Merged error: 0.0b

Counts

85 → 4

regimes29.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample358.0ms

Algorithm

intervals

Results

231.0ms

8000×

body

valid