Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

324×

body

valid

simplify156.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	4
1	32	3
2	73	3
3	150	3
4	235	3
5	277	3
6	317	3
7	371	3
8	542	3
9	974	3
10	2015	3
11	2736	3
12	3604	3
13	4672	3
14	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma (- y x) (* 6.0 z) x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma (- y x) (* 6.0 z) x)

simplify158.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	32	21
1	78	18
2	158	15
3	246	12
4	311	12
5	422	12
6	696	12
7	1452	12
8	2035	12
9	2690	12
10	3556	12
11	4624	12
12	5002	12

prune7.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

6 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) 6.0)
0.1b	(fma (* (- y x) 6.0) z x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-*l/`
1×	`flip3--` `*-commutative` `flip--` `fma-udef`

Counts

2 → 4

Calls

2 calls:

4.0ms	(* (- y x) 6.0)
1.0ms	(fma (* (- y x) 6.0) z x)

series79.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- y x) 6.0)
48.0ms	(fma (* (- y x) 6.0) z x)

simplify89.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	65	35
1	161	32
2	384	29
3	923	26
4	2701	26
5	5003	26

prune14.0ms

Filtered

10 candidates to 4 candidates (40.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	9	3	12

Merged error: 0.0b

Counts

12 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z x)
0.2b	(* (- (* y y) (* x x)) 6.0)
1.7b	(- (* y y) (* x x))
25.5b	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-commutative`
12×	`difference-of-squares`
8×	`associate-l`
6×	`associate-/l*`
4×	`prod-diff` `associate-*l/`
3×	`flip3--` `flip--`
2×	`fma-neg` `associate-/r/` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

4 → 35

Calls

4 calls:

1.0ms	(fma (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z x)
7.0ms	(* (- (* y y) (* x x)) 6.0)
5.0ms	(- (* y y) (* x x))
9.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

series217.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z x)
47.0ms	(* (- (* y y) (* x x)) 6.0)
39.0ms	(- (* y y) (* x x))
62.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

simplify76.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	182	204
1	662	198
2	2431	171
3	5001	151

prune86.0ms

Filtered

47 candidates to 23 candidates (48.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y x))
0.1b	(fma (/ 6.0 (/ 1 (- y x))) z x)
0.3b	(/ 6.0 (/ 1 (- y x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
2×	`flip3--` `flip--`
1×	`fma-udef` `inv-pow`

Counts

3 → 16

Calls

3 calls:

3.0ms	(/ 1 (- y x))
1.0ms	(fma (/ 6.0 (/ 1 (- y x))) z x)
4.0ms	(/ 6.0 (/ 1 (- y x)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (- y x))
43.0ms	(fma (/ 6.0 (/ 1 (- y x))) z x)
31.0ms	(/ 6.0 (/ 1 (- y x)))

simplify81.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	89	59
1	298	56
2	1036	53
3	2804	49
4	5003	49

prune45.0ms

Filtered

25 candidates to 14 candidates (56.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample475.0ms

Algorithm

intervals

Results

255.0ms

10091×

body

valid