Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	62×	body	640	valid
3.0ms	139×	body	80	valid
2.0ms	37×	body	320	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4

prune1.0ms

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: 13.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-sub`
7×	`frac-2neg` `clear-num`
3×	`div-inv`
2×	`associate-/r/`
1×	`sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out--`

Counts

2 → 19

Calls

2 calls:

3.0ms	(/ 1.0 (+ x 1.0))
6.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series96.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1.0 (+ x 1.0))
59.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify33.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	242	189
1	905	164
2	5002	151

prune45.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	3	26

Merged error: 0.3b

Counts

26 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ x 1.0) 1.0) (/ x 1.0))
0.0b	(/ (+ (/ x 1.0) (- (/ (+ x 1.0) 1.0))) (* (/ (+ x 1.0) 1.0) (/ x 1.0)))
1.5b	(+ (/ x 1.0) (- (/ (+ x 1.0) 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

45×	`associate-/l/`
39×	`clear-num`
37×	`frac-2neg`
30×	`frac-times` `frac-add` `distribute-neg-frac`
24×	`associate-/r/`
19×	`div-inv`
16×	`flip3-+` `flip-+`
10×	`associate-*l/`
6×	`distribute-lft-neg-in` `distribute-rgt-out` `associate-*r/`
4×	`times-frac` `associate-/r*`
3×	`div-sub` `associate-r` `associate-l` `*-commutative`
2×	`neg-sub0` `associate-+r-` `unsub-neg` `un-div-inv`
1×	`+-commutative` `associate-/l*`

Counts

3 → 105

Calls

3 calls:

5.0ms	(* (/ (+ x 1.0) 1.0) (/ x 1.0))
17.0ms	(/ (+ (/ x 1.0) (- (/ (+ x 1.0) 1.0))) (* (/ (+ x 1.0) 1.0) (/ x 1.0)))
6.0ms	(+ (/ x 1.0) (- (/ (+ x 1.0) 1.0)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (/ (+ x 1.0) 1.0) (/ x 1.0))
35.0ms	(/ (+ (/ x 1.0) (- (/ (+ x 1.0) 1.0))) (* (/ (+ x 1.0) 1.0) (/ x 1.0)))
7.0ms	(+ (/ x 1.0) (- (/ (+ x 1.0) 1.0)))

simplify142.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	636	904
1	4057	784
2	5001	775

prune236.0ms

Filtered

114 candidates to 94 candidates (82.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	115	2	117

Merged error: 0.3b

Counts

117 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ x 1.0) 1.0) (/ x 1.0))
0.3b	(/ (- 1.0) (* (/ (+ x 1.0) 1.0) (/ x 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`frac-times`
24×	`associate-/r/`
23×	`clear-num`
21×	`frac-2neg`
16×	`associate-/l/`
10×	`associate-*l/`
8×	`flip3-+` `flip-+`
7×	`div-inv`
6×	`associate-*r/`
5×	`neg-mul-1`
4×	`times-frac` `associate-/r*`
3×	`associate-r` `associate-l` `*-commutative`
2×	`un-div-inv`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `associate-/l*`

Counts

2 → 65

Calls

2 calls:

5.0ms	(* (/ (+ x 1.0) 1.0) (/ x 1.0))
8.0ms	(/ (- 1.0) (* (/ (+ x 1.0) 1.0) (/ x 1.0)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (/ (+ x 1.0) 1.0) (/ x 1.0))
36.0ms	(/ (- 1.0) (* (/ (+ x 1.0) 1.0) (/ x 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	366	348
1	1924	334
2	5002	333

prune125.0ms

Filtered

71 candidates to 56 candidates (78.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0b

Counts

73 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(/ (- (/ 1.0 (+ x 1.0))) (* (/ 1 1.0) (/ x 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-/r/`
28×	`times-frac` `div-inv`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`clear-num`
11×	`frac-2neg` `flip3-+` `flip-+`
9×	`frac-times`
8×	`associate-r` `associate-l` `*-commutative`
7×	`associate-/l*`
5×	`neg-mul-1`
4×	`associate-/r*`
3×	`associate-r/` `associate-l/` `associate-/l/` `distribute-neg-frac`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `un-div-inv`

Counts

2 → 68

Calls

2 calls:

3.0ms	(/ 1.0 (+ x 1.0))
9.0ms	(/ (- (/ 1.0 (+ x 1.0))) (* (/ 1 1.0) (/ x 1.0)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
39.0ms	(/ (- (/ 1.0 (+ x 1.0))) (* (/ 1 1.0) (/ x 1.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	425	514
1	2137	453
2	5001	453

prune131.0ms

Filtered

74 candidates to 58 candidates (78.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Merged error: 0b

Counts

77 → 3

regimes13.0ms

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	18	7
1	18	7

end0.0ms

sample402.0ms

Algorithm

intervals

Results

141.0ms	1957×	body	640	valid
81.0ms	4201×	body	80	valid
71.0ms	1236×	body	320	valid
22.0ms	606×	body	160	valid