Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-add`
8×	`frac-2neg` `clear-num`
4×	`associate-/r/`
2×	`flip3-+` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `flip--`

Counts

3 → 22

Calls

3 calls:

3.0ms	(/ x (+ x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
2.0ms	(/ 1.0 (- x 1.0))

series189.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ x (+ x 1.0))
126.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
29.0ms	(/ 1.0 (- x 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	306	231
1	1208	213
2	5001	209

prune64.0ms

Filtered

31 candidates to 26 candidates (83.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (- x 1.0)) (+ x 1.0))
0.0b	(* (- x 1.0) x)
0.0b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
15.3b	(/ (- (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))) (* (- (- x 1.0)) (+ x 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`distribute-neg-frac`
14×	`associate-*l/`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`flip3--` `flip--`
8×	`frac-times` `frac-add` `associate-/r/`
7×	`neg-mul-1`
6×	`associate-/l/`
5×	`+-commutative`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `*-commutative`
3×	`times-frac` `associate-l` `associate-/r*`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 55

Calls

4 calls:

4.0ms	(* (- (- x 1.0)) (+ x 1.0))
3.0ms	(* (- x 1.0) x)
7.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
13.0ms	(/ (- (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))) (* (- (- x 1.0)) (+ x 1.0)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (- (- x 1.0)) (+ x 1.0))
43.0ms	(* (- x 1.0) x)
33.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
97.0ms	(/ (- (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))) (* (- (- x 1.0)) (+ x 1.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	458	611
1	2295	592
2	5001	588

prune179.0ms

Filtered

67 candidates to 56 candidates (83.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Merged error: 0b

Counts

70 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (- x 1.0)) (+ x 1.0))
0.0b	(+ (* 1.0 x) (+ (* 1.0 (- 1.0 x)) (pow x 2)))
0.0b	(+ (* 1.0 (- 1.0 x)) (pow x 2))
15.3b	(/ (- (+ (* 1.0 x) (+ (* 1.0 (- 1.0 x)) (pow x 2)))) (* (- (- x 1.0)) (+ x 1.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

14×	`distribute-neg-frac`
9×	`flip3-+` `flip-+`
8×	`frac-times` `associate-+l+` `associate-/r/`
7×	`neg-mul-1`
6×	`distribute-rgt-in` `associate-+r+` `flip3--` `distribute-lft-in` `flip--`
5×	`+-commutative`
4×	`sub-neg` `associate-r/` `associate-l/`
3×	`times-frac` `associate-l` `associate-/r` `-commutative`
2×	`associate-/l/`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 53

Calls

4 calls:

5.0ms	(* (- (- x 1.0)) (+ x 1.0))
7.0ms	(+ (* 1.0 x) (+ (* 1.0 (- 1.0 x)) (pow x 2)))
5.0ms	(+ (* 1.0 (- 1.0 x)) (pow x 2))
15.0ms	(/ (- (+ (* 1.0 x) (+ (* 1.0 (- 1.0 x)) (pow x 2)))) (* (- (- x 1.0)) (+ x 1.0)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (- (- x 1.0)) (+ x 1.0))
38.0ms	(+ (* 1.0 x) (+ (* 1.0 (- 1.0 x)) (pow x 2)))
20.0ms	(+ (* 1.0 (- 1.0 x)) (pow x 2))
97.0ms	(/ (- (+ (* 1.0 x) (+ (* 1.0 (- 1.0 x)) (pow x 2)))) (* (- (- x 1.0)) (+ x 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	398	528
1	1782	493
2	5003	485

prune172.0ms

Filtered

65 candidates to 51 candidates (78.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	65	3	68

Merged error: 0b

Counts

68 → 3

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample260.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid