Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

344×

body

valid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	5
1	76	5
2	168	5
3	264	5
4	354	5
5	442	5
6	912	5
7	2436	5
8	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: 16.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* z z) (+ z 1.0))
15.8b	(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

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

series116.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (* z z) (+ z 1.0))
65.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	182	151
1	683	149
2	2337	147
3	5001	147

prune71.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	26	8	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	9	35

Merged error: 2.1b

Counts

35 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ z 1.0))
3.0b	(* (/ x z) (/ y (* z (+ z 1.0))))
6.0b	(/ y (* z (+ z 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`frac-times`
12×	`clear-num`
11×	`frac-2neg` `associate-*r/`
10×	`associate-/r*`
7×	`*-commutative`
4×	`associate-/r/`
3×	`flip3-+` `associate-r` `associate-*l/` `flip-+` `div-inv`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in`
1×	`associate-l` `un-div-inv`

Counts

3 → 43

Calls

3 calls:

3.0ms	(* z (+ z 1.0))
7.0ms	(* (/ x z) (/ y (* z (+ z 1.0))))
4.0ms	(/ y (* z (+ z 1.0)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* z (+ z 1.0))
53.0ms	(* (/ x z) (/ y (* z (+ z 1.0))))
38.0ms	(/ y (* z (+ z 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	296	231
1	1395	223
2	5001	223

prune111.0ms

Filtered

52 candidates to 39 candidates (75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	6	1	7
Picked	1	0	1
Done	1	0	1
Total	55	6	61

Merged error: 0.0b

Counts

61 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* (/ x z) (/ y z)) (+ z 1.0))
2.2b	(* (/ x z) (/ y z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`clear-num`
18×	`frac-times`
17×	`frac-2neg`
16×	`associate-/l/`
6×	`associate-r/` `associate-l/`
5×	`div-inv`
4×	`associate-/l*`
2×	`associate-r` `associate-l` `associate-/r/` `un-div-inv` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

2 → 44

Calls

2 calls:

7.0ms	(/ (* (/ x z) (/ y z)) (+ z 1.0))
4.0ms	(* (/ x z) (/ y z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (* (/ x z) (/ y z)) (+ z 1.0))
29.0ms	(* (/ x z) (/ y z))

simplify38.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	234	188
1	1066	182
2	5002	182

prune98.0ms

Filtered

50 candidates to 39 candidates (78.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (/ (/ y z) (/ z x)) (+ z 1.0))
2.0b	(/ (/ y z) (/ z x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-/l/`
11×	`div-inv`
8×	`associate-/r/`
7×	`frac-2neg` `clear-num` `associate-/l*`
2×	`times-frac` `associate-/r*`
1×	`flip3-+` `flip-+`

Counts

2 → 30

Calls

2 calls:

6.0ms	(/ (/ (/ y z) (/ z x)) (+ z 1.0))
4.0ms	(/ (/ y z) (/ z x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (/ (/ y z) (/ z x)) (+ z 1.0))
28.0ms	(/ (/ y z) (/ z x))

simplify176.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	195	156
1	704	147
2	4140	143
3	5001	143

prune59.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

regimes89.0ms

Accuracy

34.8% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	17
1	26	17

end0.0ms

sample505.0ms

Algorithm

intervals

Results

288.0ms

10855×

body

valid