Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

288×

body

valid

simplify67.0ms

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: 7.6b

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))
7.1b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite15.0ms

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))
7.0ms	(/ (* 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))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (50.0ms)

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

prune53.0ms

Filtered

29 candidates to 20 candidates (69.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ 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)
6.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
5.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series114.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
43.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
61.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (59.0ms)

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

prune66.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	30	5	35

Merged error: 0.0b

Counts

35 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
3.0ms	(/ x (- (+ x 1.0)))
7.0ms	(* (/ x (- (+ x 1.0))) (- (+ (/ x y) 1.0)))

series93.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
41.0ms	(/ x (- (+ x 1.0)))
42.0ms	(* (/ x (- (+ x 1.0))) (- (+ (/ x y) 1.0)))

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	315	303
1	1352	290
2	5003	288

prune96.0ms

Filtered

43 candidates to 36 candidates (83.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Merged error: 0.0b

Counts

48 → 5

localize15.0ms

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))
0.2b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite28.0ms

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))
13.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series192.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (/ x y) 1.0)
76.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
62.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
43.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify100.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (96.0ms)

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

prune91.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	51	6	57

Merged error: 0b

Counts

57 → 6

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	27	7
2	29	7
3	29	7

end0.0ms

sample370.0ms

Algorithm

intervals

Results

232.0ms

9098×

body

valid