Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

277×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	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: 1.8b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.7b	(fma y (/ (- z t) (- a t)) 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) (- a t))
1.0ms	(fma y (/ (- z t) (- a t)) x)

series126.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- z t) (- a t))
73.0ms	(fma y (/ (- z t) (- a t)) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	100	43
1	246	43
2	631	43
3	2032	41
4	5001	41

prune50.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	11	5	16

Merged error: 1.2b

Counts

16 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ t (- a t))
1.7b	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

rewrite16.0ms

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

series277.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ z (- a t))
70.0ms	(- (/ z (- a t)) (/ t (- a t)))
46.0ms	(/ t (- a t))
131.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	294	463
1	976	388
2	5002	338

prune155.0ms

Filtered

53 candidates to 39 candidates (73.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 1.2b

Counts

58 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (- a t) z)) (/ t (- a t)))
0.0b	(/ (- a t) z)
0.6b	(/ 1 (/ (- a t) z))
1.7b	(fma y (- (/ 1 (/ (- a t) z)) (/ t (- a t))) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

37×	`associate-/r/`
18×	`prod-diff`
16×	`div-inv`
15×	`clear-num`
14×	`frac-2neg`
13×	`flip3--` `flip--`
12×	`frac-sub` `associate-/l/`
6×	`fma-neg`
4×	`associate-/r*`
1×	`sub-neg` `div-sub` `fma-udef` `remove-double-div` `inv-pow`

Counts

4 → 58

Calls

4 calls:

10.0ms	(- (/ 1 (/ (- a t) z)) (/ t (- a t)))
3.0ms	(/ (- a t) z)
4.0ms	(/ 1 (/ (- a t) z))
1.0ms	(fma y (- (/ 1 (/ (- a t) z)) (/ t (- a t))) x)

series462.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(- (/ 1 (/ (- a t) z)) (/ t (- a t)))
28.0ms	(/ (- a t) z)
74.0ms	(/ 1 (/ (- a t) z))
211.0ms	(fma y (- (/ 1 (/ (- a t) z)) (/ t (- a t))) x)

simplify78.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	384	742
1	1622	597
2	5001	588

prune201.0ms

Filtered

70 candidates to 47 candidates (67.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Merged error: 1.2b

Counts

75 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

1.7b	(fma y (fma (/ z (- (* a a) (* t t))) (+ a t) (/ (- t) (- a t))) x)
3.7b	(- (* a a) (* t t))
6.8b	(fma (/ z (- (* a a) (* t t))) (+ a t) (/ (- t) (- a t)))
7.7b	(/ z (- (* a a) (* t t)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 25

Calls

4 calls:

1.0ms	(fma y (fma (/ z (- (* a a) (* t t))) (+ a t) (/ (- t) (- a t))) x)
5.0ms	(- (* a a) (* t t))
1.0ms	(fma (/ z (- (* a a) (* t t))) (+ a t) (/ (- t) (- a t)))
6.0ms	(/ z (- (* a a) (* t t)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(fma y (fma (/ z (- (* a a) (* t t))) (+ a t) (/ (- t) (- a t))) x)
36.0ms	(- (* a a) (* t t))
112.0ms	(fma (/ z (- (* a a) (* t t))) (+ a t) (/ (- t) (- a t)))
45.0ms	(/ z (- (* a a) (* t t)))

simplify137.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	123	131
1	421	127
2	1220	122
3	4528	103
4	5001	103

prune77.0ms

Filtered

37 candidates to 19 candidates (51.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	37	5	42

Merged error: 1.2b

Counts

42 → 5

regimes134.0ms

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6

end0.0ms

sample581.0ms

Algorithm

intervals

Results

303.0ms	8699×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid