Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	4
1	14	4
2	14	4

prune4.0ms

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: 6.9b

Counts

2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
6.9b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

2 → 11

Calls

2 calls:

2.0ms	(- 1.0 (/ y z))
4.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- 1.0 (/ y z))
53.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	93	63
1	231	62
2	633	62
3	2114	61
4	5002	61

prune41.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Merged error: 6.9b

Counts

18 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.4b	(/ 1 (- 1.0 (/ y z)))
6.5b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 27

Calls

3 calls:

2.0ms	(- 1.0 (/ y z))
3.0ms	(/ 1 (- 1.0 (/ y z)))
5.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series132.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- 1.0 (/ y z))
49.0ms	(/ 1 (- 1.0 (/ y z)))
60.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify59.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	139	132
1	518	130
2	2167	130
3	5001	128

prune73.0ms

Filtered

36 candidates to 19 candidates (52.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 6.9b

Counts

41 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.0b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
4×	`clear-num` `associate-/l/`
3×	`flip3--` `frac-2neg` `associate-/r*` `flip--` `div-inv`
2×	`flip3-+` `flip-+`
1×	`sub-neg` `div-sub` `remove-double-div` `inv-pow`

Counts

3 → 25

Calls

3 calls:

2.0ms	(- 1.0 (/ y z))
5.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
5.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series218.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- 1.0 (/ y z))
147.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
50.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	126	117
1	376	115
2	1451	113
3	5002	113

prune85.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	33	6	39

Merged error: 6.8b

Counts

39 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.0b	(/ 1 (+ x y))
0.2b	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
7.0b	(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-/r/`
12×	`frac-times`
10×	`clear-num`
9×	`flip3--` `flip--`
8×	`frac-2neg`
6×	`associate-r/` `associate-r*`
5×	`associate-/r*`
4×	`associate-*l/` `un-div-inv` `div-inv`
3×	`flip3-+` `flip-+`
2×	`*-commutative` `inv-pow`
1×	`sub-neg`

Counts

4 → 49

Calls

4 calls:

2.0ms	(- 1.0 (/ y z))
3.0ms	(/ 1 (+ x y))
7.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
6.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- 1.0 (/ y z))
38.0ms	(/ 1 (+ x y))
149.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
50.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	174	253
1	732	242
2	3602	237
3	5001	236

prune128.0ms

Filtered

61 candidates to 38 candidates (62.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	61	6	67

Merged error: 6.8b

Counts

67 → 6

regimes102.0ms

Accuracy

0% (0.1b remaining)

Error of 7.7b against oracle of 7.7b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample366.0ms

Algorithm

intervals

Results

207.0ms

8000×

body

valid