Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

289×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune6.0ms

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: 1.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.3b	(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)

series121.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (21.0ms)

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

prune58.0ms

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: 0.5b

Counts

16 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

3.0ms	(/ t (- z a))
11.0ms	(- (/ z (- z a)) (/ t (- z a)))
3.0ms	(/ z (- z a))
1.0ms	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

series530.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ t (- z a))
117.0ms	(- (/ z (- z a)) (/ t (- z a)))
45.0ms	(/ z (- z a))
334.0ms	(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

prune158.0ms

Filtered

53 candidates to 37 candidates (69.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Merged error: 0.5b

Counts

59 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z a))
0.0b	(/ (- t) (- z a))
0.1b	(fma z (/ 1 (- z a)) (/ (- t) (- z a)))
1.3b	(fma y (fma z (/ 1 (- z a)) (/ (- t) (- z a))) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `fma-udef` `div-inv`
1×	`neg-sub0` `neg-mul-1` `div-sub` `distribute-frac-neg` `associate-/l*` `inv-pow`

Counts

4 → 16

Calls

4 calls:

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

series296.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (- z a))
37.0ms	(/ (- t) (- z a))
118.0ms	(fma z (/ 1 (- z a)) (/ (- t) (- z a)))
103.0ms	(fma y (fma z (/ 1 (- z a)) (/ (- t) (- z a))) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	82	55
1	212	54
2	611	54
3	1733	51
4	5001	51

prune89.0ms

Filtered

28 candidates to 19 candidates (67.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	28	6	34

Merged error: 0.5b

Counts

34 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
1.3b	(fma y (/ 1 (/ (- z a) (- z t))) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 22

Calls

3 calls:

4.0ms	(/ (- z a) (- z t))
5.0ms	(/ 1 (/ (- z a) (- z t)))
1.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

series235.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- z a) (- z t))
102.0ms	(/ 1 (/ (- z a) (- z t)))
87.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	130	83
1	371	81
2	1484	79
3	5001	77

prune90.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	2	1	3
Picked	1	0	1
Done	1	1	2
Total	33	4	37

Merged error: 0.5b

Counts

37 → 4

regimes113.0ms

Accuracy

0% (0.5b remaining)

Error of 1.2b against oracle of 0.7b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample601.0ms

Algorithm

intervals

Results

331.0ms

8784×

body

valid