Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	37	5
2	61	5
3	91	5
4	115	5
5	121	5
6	121	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: 6.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.9b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.3b	(* y (+ 1.0 (* z z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

5.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.0ms	(* y (+ 1.0 (* z z)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
57.0ms	(* y (+ 1.0 (* z z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	147	110
1	457	109
2	1950	108
3	5001	108

prune61.0ms

Filtered

26 candidates to 19 candidates (73.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	6	27

Merged error: 4.8b

Counts

27 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ 1.0 y) x)
5.6b	(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-/l/`
5×	`frac-2neg` `clear-num` `div-inv`
3×	`associate-/l*`
2×	`associate-/r/`
1×	`flip3-+` `flip-+`

Counts

2 → 20

Calls

2 calls:

3.0ms	(/ (/ 1.0 y) x)
6.0ms	(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ (/ 1.0 y) x)
55.0ms	(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	130	98
1	433	95
2	2123	94
3	5001	94

prune49.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	26	6	32

Merged error: 4.8b

Counts

32 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ 1 (* x y))
0.6b	(/ 1.0 (+ 1.0 (* z z)))
5.5b	(* (/ 1.0 (+ 1.0 (* z z))) (/ 1 (* x y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 41

Calls

3 calls:

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

series115.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ 1 (* x y))
41.0ms	(/ 1.0 (+ 1.0 (* z z)))
62.0ms	(* (/ 1.0 (+ 1.0 (* z z))) (/ 1 (* x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	273	216
1	1369	206
2	5001	206

prune105.0ms

Filtered

50 candidates to 36 candidates (72.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	50	6	56

Merged error: 4.8b

Counts

56 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.6b	(/ 1.0 (+ 1.0 (* z z)))
3.0b	(/ (/ (/ 1.0 (+ 1.0 (* z z))) x) y)
3.7b	(/ (/ 1.0 (+ 1.0 (* z z))) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-/l/`
7×	`associate-/l*`
6×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
3×	`flip3-+` `flip-+`

Counts

3 → 27

Calls

3 calls:

6.0ms	(/ 1.0 (+ 1.0 (* z z)))
14.0ms	(/ (/ (/ 1.0 (+ 1.0 (* z z))) x) y)
4.0ms	(/ (/ 1.0 (+ 1.0 (* z z))) x)

series163.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1.0 (+ 1.0 (* z z)))
63.0ms	(/ (/ (/ 1.0 (+ 1.0 (* z z))) x) y)
59.0ms	(/ (/ 1.0 (+ 1.0 (* z z))) x)

simplify170.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	248	194
1	830	183
2	4728	175
3	5001	175

prune82.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	36	6	42

Merged error: 4.8b

Counts

42 → 6

regimes177.0ms

Accuracy

0% (1.8b remaining)

Error of 6.6b against oracle of 4.8b and baseline of 6.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample435.0ms

Algorithm

intervals

Results

246.0ms

8629×

body

valid