Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

279×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.0b	(fma y (/ (- z t) (- z a)) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 9

Calls

2 calls:

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

series122.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z t) (- z a))
77.0ms	(fma y (/ (- z t) (- z a)) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	101	43
1	245	43
2	631	43
3	2088	41
4	5001	41

prune54.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	9	6	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	10	6	16

Merged error: 0.4b

Counts

16 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ t (- z a))
0.0b	(/ z (- z a))
1.0b	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-/r/`
12×	`flip3--` `flip--`
11×	`div-inv`
10×	`frac-2neg`
9×	`prod-diff` `frac-sub`
8×	`clear-num`
3×	`distribute-rgt-out--` `fma-neg`
2×	`sub-div`
1×	`sub-neg` `fma-udef`

Counts

4 → 41

Calls

4 calls:

7.0ms	(- (/ z (- z a)) (/ t (- z a)))
3.0ms	(/ t (- z a))
3.0ms	(/ z (- z a))
1.0ms	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

series301.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (/ z (- z a)) (/ t (- z a)))
30.0ms	(/ t (- z a))
49.0ms	(/ z (- z a))
102.0ms	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	296	462
1	991	387
2	5001	339

prune156.0ms

Filtered

53 candidates to 36 candidates (67.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Merged error: 0.4b

Counts

59 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.0b	(fma y (/ (- z t) (- z a)) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 9

Calls

2 calls:

4.0ms	(/ (- z t) (- z a))
4.0ms	(fma y (/ (- z t) (- z a)) x)

series135.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- z t) (- z a))
83.0ms	(fma y (/ (- z t) (- z a)) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	101	43
1	245	43
2	631	43
3	2088	41
4	5001	41

prune46.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	15	5	20

Merged error: 0.4b

Counts

20 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z a) t)
0.0b	(/ z (- z a))
0.8b	(/ 1 (/ (- z a) t))
1.0b	(fma y (- (/ z (- z a)) (/ 1 (/ (- z a) t))) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 23

Calls

4 calls:

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

series245.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (- z a) t)
45.0ms	(/ z (- z a))
70.0ms	(/ 1 (/ (- z a) t))
102.0ms	(fma y (- (/ z (- z a)) (/ 1 (/ (- z a) t))) x)

simplify119.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	109	74
1	250	73
2	805	73
3	4073	71
4	5003	71

prune88.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0.4b

Counts

40 → 6

regimes177.0ms

Accuracy

0% (0.7b remaining)

Error of 1.3b against oracle of 0.7b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample550.0ms

Algorithm

intervals

Results

282.0ms	8743×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid