Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 7.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
7.4b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite6.0ms

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)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- 1.0 (/ y z))
53.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	88	63
1	216	63
2	566	63
3	1817	62
4	5001	62

prune37.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	12	5	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	6	18

Merged error: 7.3b

Counts

18 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.7b	(/ 1 (- 1.0 (/ y z)))
6.6b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite11.0ms

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))))

series113.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(- 1.0 (/ y z))
47.0ms	(/ 1 (- 1.0 (/ y z)))
49.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	133	132
1	512	132
2	2058	132
3	5001	131

prune59.0ms

Filtered

36 candidates to 19 candidates (52.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Merged error: 7.3b

Counts

42 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite11.0ms

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))
4.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
4.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series186.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- 1.0 (/ y z))
121.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify40.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	122	117
1	358	116
2	1352	114
3	5001	113

prune66.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	33	7	40

Merged error: 7.3b

Counts

40 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (- (/ y z)))
0.2b	(/ 1 (/ (+ 1.0 (- (/ y z))) (+ x y)))
7.4b	(/ (+ 1.0 (- (/ y z))) (+ x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`clear-num` `associate-/l/`
3×	`frac-2neg` `div-sub` `associate-/r*` `div-inv`
2×	`neg-sub0` `associate-+r-` `unsub-neg`
1×	`+-commutative` `remove-double-div` `inv-pow`

Counts

3 → 29

Calls

3 calls:

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

series183.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ 1.0 (- (/ y z)))
121.0ms	(/ 1 (/ (+ 1.0 (- (/ y z))) (+ x y)))
47.0ms	(/ (+ 1.0 (- (/ y z))) (+ x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	120	146
1	441	131
2	2110	125
3	5002	121

prune66.0ms

Filtered

38 candidates to 25 candidates (65.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	38	7	45

Merged error: 7.3b

Counts

45 → 7

regimes100.0ms

Accuracy

0% (0.1b remaining)

Error of 7.6b against oracle of 7.6b and baseline of 7.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample351.0ms

Algorithm

intervals

Results

196.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid