Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

289×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune8.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.1b	(fma (/ y (- z a)) (- 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 (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series105.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ y (- z a))
77.0ms	(fma (/ y (- z a)) (- z t) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	61	27
1	133	27
2	263	27
3	635	26
4	1738	26
5	5001	26

prune41.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
11.0b	(* (/ y (- z a)) (- z t))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times` `flip3--` `flip--`
4×	`frac-2neg` `clear-num` `associate-/r/`
3×	`associate-l` `associate-*l/`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `div-inv`
1×	`*-commutative`

Counts

2 → 24

Calls

2 calls:

3.0ms	(/ y (- z a))
5.0ms	(* (/ y (- z a)) (- z t))

series150.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ y (- z a))
118.0ms	(* (/ y (- z a)) (- z t))

simplify61.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	185	124
1	651	124
2	3057	124
3	5002	124

prune86.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	30	5	35

Merged error: 0b

Counts

35 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-*r/`
4×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`associate-r` `clear-num`
2×	`frac-2neg` `div-inv`
1×	`div-sub` `un-div-inv` `*-commutative`

Counts

2 → 18

Calls

2 calls:

4.0ms	(/ (- z t) (- z a))
8.0ms	(* y (/ (- z t) (- z a)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- z t) (- z a))
66.0ms	(* y (/ (- z t) (- z a)))

simplify98.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	111	58
1	352	58
2	1234	58
3	4733	56
4	5001	56

prune66.0ms

Filtered

24 candidates to 19 candidates (79.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 19

Calls

2 calls:

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

series163.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z a) (- z t))
118.0ms	(/ y (/ (- z a) (- z t)))

simplify89.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	114	71
1	327	71
2	989	70
3	4009	68
4	5001	68

prune59.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	25	4	29

Merged error: 0b

Counts

29 → 4

regimes113.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b 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

sample585.0ms

Algorithm

intervals

Results

302.0ms	8783×	body	80	valid
0.0ms	1×	body	160	valid