Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

277×

body

valid

simplify59.0ms

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

prune10.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
1.6b	(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)

series209.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
180.0ms	(fma (/ y (- a t)) (- z t) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (11.0ms)

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

prune39.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	8	4	12
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	9	5	14

Merged error: 0.0b

Counts

14 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
1.6b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite8.0ms

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

series251.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- a t))
29.0ms	(* y (/ 1 (- a t)))
182.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	71	34
1	232	34
2	676	32
3	1528	31
4	5001	31

prune55.0ms

Filtered

25 candidates to 14 candidates (56.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.7b	(/ 1 (/ (- a t) y))
1.6b	(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:

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

series296.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- a t) y)
75.0ms	(/ 1 (/ (- a t) y))
193.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 4 (57.0ms)

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

prune69.0ms

Filtered

27 candidates to 17 candidates (63.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	2	1	3
Picked	1	0	1
Done	1	0	1
Total	28	4	32

Merged error: 0.0b

Counts

32 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
1.6b	(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)

series213.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ y (- a t))
185.0ms	(fma (/ y (- a t)) (- z t) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (10.0ms)

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

prune27.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

regimes402.0ms

Accuracy

68.8% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	22
1	24	22

end0.0ms

sample587.0ms

Algorithm

intervals

Results

323.0ms	8699×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid