Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

291×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	29	5
2	45	5
3	56	5
4	74	5
5	86	5
6	120	5
7	136	5
8	146	5
9	150	5
10	160	5
11	446	5
12	2695	5
13	5001	5

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: 10.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
9.6b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 20

Calls

3 calls:

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

series78.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
24.0ms	(* x (+ (/ x y) 1.0))
44.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	145	121
1	444	118
2	1992	117
3	5001	113

prune56.0ms

Filtered

29 candidates to 20 candidates (69.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	24	5	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`div-inv` `associate-/l/`
3×	`frac-2neg` `clear-num` `associate-/r*`
1×	`+-commutative` `fma-def`

Counts

3 → 22

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
5.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
5.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series115.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
60.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	150	125
1	520	122
2	2242	118
3	5002	117

prune77.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Merged error: 0b

Counts

36 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.1b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-/r/` `associate-/l/`
8×	`clear-num`
7×	`flip3-+` `flip-+` `div-inv`
6×	`frac-2neg` `associate-/l*`
2×	`remove-double-div`
1×	`+-commutative` `fma-def` `associate-/r*` `inv-pow`

Counts

4 → 40

Calls

4 calls:

3.0ms	(+ (/ x y) 1.0)
6.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
5.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
7.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series224.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (/ x y) 1.0)
109.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
63.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
40.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify104.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	181	196
1	622	190
2	3406	181
3	5001	180

prune98.0ms

Filtered

52 candidates to 38 candidates (73.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	53	5	58

Merged error: 0b

Counts

58 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`flip3-+` `associate-*r/` `flip-+`
4×	`associate-/r/` `associate-/l/`
3×	`associate-r` `clear-num` `div-inv`
2×	`frac-2neg`
1×	`+-commutative` `fma-def` `un-div-inv` `*-commutative`

Counts

3 → 21

Calls

3 calls:

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

series84.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
33.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
40.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	166	137
1	664	131
2	3288	126
3	5003	122

prune65.0ms

Filtered

30 candidates to 24 candidates (80.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	30	5	35

Merged error: 0b

Counts

35 → 5

regimes39.0ms

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	16	5
1	18	5
2	18	5

end0.0ms

sample379.0ms

Algorithm

intervals

Results

238.0ms

9114×

body

valid