Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

279×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune8.0ms

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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.1b	(fma (/ y (- z a)) (- z t) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series127.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ y (- z a))
93.0ms	(fma (/ y (- z a)) (- z t) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	61	27
1	133	27
2	263	27
3	635	26
4	1738	26
5	5001	26

prune38.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	9	3	12
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	10	4	14

Merged error: 0.0b

Counts

14 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.1b	(* y (/ 1 (- z a)))
3.1b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 16

Calls

3 calls:

3.0ms	(/ 1 (- z a))
4.0ms	(* y (/ 1 (- z a)))
1.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series168.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1 (- z a))
34.0ms	(* y (/ 1 (- z a)))
90.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	75	35
1	252	35
2	741	35
3	1795	32
4	5001	32

prune65.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
1.3b	(/ 1 (/ (- z a) y))
3.1b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 18

Calls

3 calls:

3.0ms	(/ (- z a) y)
5.0ms	(/ 1 (/ (- z a) y))
1.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series219.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- z a) y)
84.0ms	(/ 1 (/ (- z a) y))
103.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 4 (65.0ms)

Iter	Nodes	Cost
0	102	57
1	257	55
2	860	55
3	2713	52
4	5001	51

prune72.0ms

Filtered

27 candidates to 18 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- z t) (/ (- z a) y)) x)
0.0b	(/ (- z a) y)
12.9b	(/ (- z t) (/ (- z a) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-/r/`
8×	`associate-/l/`
6×	`fma-def`
4×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv`
3×	`div-sub`
1×	`+-commutative` `associate-+l-` `flip3-+` `associate-/r*` `flip-+`

Counts

3 → 28

Calls

3 calls:

8.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
3.0ms	(/ (- z a) y)
5.0ms	(/ (- z t) (/ (- z a) y))

series256.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
32.0ms	(/ (- z a) y)
116.0ms	(/ (- z t) (/ (- z a) y))

simplify59.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	197	120
1	584	118
2	2107	114
3	5001	113

prune101.0ms

Filtered

37 candidates to 30 candidates (81.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	37	4	41

Merged error: 0b

Counts

41 → 4

regimes126.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6

end0.0ms

sample530.0ms

Algorithm

intervals

Results

275.0ms	8743×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid