Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	8
1	156	8
2	539	8
3	2410	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: 19.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.8b	(/ (* 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)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
41.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
157.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	712	1075
1	3258	1056
2	5001	1053

prune232.0ms

Filtered

103 candidates to 71 candidates (68.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	6	104

Merged error: 4.2b

Counts

104 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x y))
0.0b	(* (+ x y) (+ (+ x y) 1.0))
0.1b	(* (/ y (+ x y)) (/ x (* (+ x y) (+ (+ x y) 1.0))))
12.7b	(/ 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:

3.0ms	(/ y (+ x y))
5.0ms	(* (+ x y) (+ (+ x y) 1.0))
11.0ms	(* (/ y (+ x y)) (/ x (* (+ x y) (+ (+ x y) 1.0))))
6.0ms	(/ x (* (+ x y) (+ (+ x y) 1.0)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ y (+ x y))
29.0ms	(* (+ x y) (+ (+ x y) 1.0))
157.0ms	(* (/ y (+ x y)) (/ x (* (+ x y) (+ (+ x y) 1.0))))
91.0ms	(/ x (* (+ x y) (+ (+ x y) 1.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	469	543
1	2661	529
2	5001	526

prune199.0ms

Filtered

84 candidates to 69 candidates (82.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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

series496.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x (+ x y))
39.0ms	(/ y (+ x y))
77.0ms	(* (/ y (+ x y)) (/ x (+ x y)))
342.0ms	(/ (* (/ y (+ x y)) (/ x (+ x y))) (+ (+ x y) 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	296	327
1	1579	318
2	5001	318

prune149.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Merged error: 0.0b

Counts

80 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) x)
0.0b	(/ y (+ x y))
0.0b	(* (+ (+ x y) 1.0) (/ (+ x y) x))
0.5b	(/ (/ y (+ x y)) (* (+ (+ x y) 1.0) (/ (+ x y) x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-/r/`
24×	`flip3-+` `flip-+`
20×	`frac-times`
17×	`associate-/l/`
12×	`clear-num` `div-inv`
10×	`frac-2neg` `associate-*r/`
9×	`times-frac`
5×	`associate-r` `*-commutative`
4×	`associate-*l/`
3×	`associate-/r` `associate-/l`
2×	`un-div-inv`

Counts

4 → 69

Calls

4 calls:

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

series252.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (+ x y) x)
40.0ms	(/ y (+ x y))
36.0ms	(* (+ (+ x y) 1.0) (/ (+ x y) x))
155.0ms	(/ (/ y (+ x y)) (* (+ (+ x y) 1.0) (/ (+ x y) x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	449	599
1	2188	581
2	5001	579

prune192.0ms

Filtered

81 candidates to 69 candidates (85.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

regimes38.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample360.0ms

Algorithm

intervals

Results

228.0ms

8000×

body

valid