Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	269×	body	80	valid
0.0ms	1×	body	1280	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

prune9.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.5b	(fma (/ y (- a t)) (- 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 (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series224.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
194.0ms	(fma (/ y (- a t)) (- z t) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	57	26
1	116	26
2	232	24
3	587	23
4	1684	23
5	5001	23

prune38.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	9	3	12
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	9	5	14

Merged error: 0.0b

Counts

14 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.6b	(/ 1 (/ (- a t) y))
2.5b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite9.0ms

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:

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

series295.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (- a t) y)
75.0ms	(/ 1 (/ (- a t) y))
193.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 4 (56.0ms)

Iter	Nodes	Cost
0	98	56
1	242	54
2	815	52
3	2602	51
4	5002	50

prune62.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	28	4	32

Merged error: 0.0b

Counts

32 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.0b	(+ (/ (- z t) (/ (- a t) y)) x)
10.9b	(/ (- z t) (/ (- a t) 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:

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

series238.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- a t) y)
98.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
110.0ms	(/ (- z t) (/ (- a t) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	196	120
1	583	118
2	2121	114
3	5001	113

prune108.0ms

Filtered

37 candidates to 30 candidates (81.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Merged error: 0b

Counts

41 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- (- a t)))
2.0b	(fma (/ (- z t) (- (- a t))) (- y) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 10

Calls

2 calls:

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

series139.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- z t) (- (- a t)))
84.0ms	(fma (/ (- z t) (- (- a t))) (- y) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	114	54
1	289	54
2	817	54
3	2952	53
4	5002	53

prune45.0ms

Filtered

16 candidates to 13 candidates (81.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	16	4	20

Merged error: 0b

Counts

20 → 4

regimes194.0ms

Accuracy

30.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	25
1	26	25

end0.0ms

sample536.0ms

Algorithm

intervals

Results

274.0ms	8706×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid