Details

sample290.0ms

Algorithm

intervals

Results

10.0ms	424×	body	80	valid
6.0ms	424×	pre	80	true

simplify129.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2931	5
10	3911	5
11	5001	5

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 17

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
5.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series144.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
61.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify40.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	133	99
1	354	96
2	1280	89
3	5002	83

prune44.0ms

Filtered

26 candidates to 14 candidates (53.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Merged error: 0.1b

Counts

27 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (/ (- 1.0 m) (/ v m)) 1.0) m)
0.3b	(/ (- 1.0 m) (/ v m))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 13

Calls

2 calls:

7.0ms	(* (- (/ (- 1.0 m) (/ v m)) 1.0) m)
4.0ms	(/ (- 1.0 m) (/ v m))

series73.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- (/ (- 1.0 m) (/ v m)) 1.0) m)
36.0ms	(/ (- 1.0 m) (/ v m))

simplify64.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	134	82
1	411	75
2	2102	74
3	5002	74

prune41.0ms

Filtered

19 candidates to 13 candidates (68.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	19	5	24

Merged error: 0.0b

Counts

24 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 m (/ (pow m 3) v))
0.0b	(fma 1.0 (/ (pow m 2) v) (- (fma 1.0 m (/ (pow m 3) v))))
7.4b	(/ (pow m 3) v)
12.6b	(/ (pow m 2) v)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/l*`
2×	`frac-2neg` `clear-num` `fma-udef` `div-inv` `sqr-pow`
1×	`unpow3` `unpow2`

Counts

4 → 12

Calls

4 calls:

1.0ms	(fma 1.0 m (/ (pow m 3) v))
1.0ms	(fma 1.0 (/ (pow m 2) v) (- (fma 1.0 m (/ (pow m 3) v))))
3.0ms	(/ (pow m 3) v)
3.0ms	(/ (pow m 2) v)

series111.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma 1.0 m (/ (pow m 3) v))
42.0ms	(fma 1.0 (/ (pow m 2) v) (- (fma 1.0 m (/ (pow m 3) v))))
21.0ms	(/ (pow m 3) v)
19.0ms	(/ (pow m 2) v)

simplify89.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 4 (86.0ms)

Iter	Nodes	Cost
0	51	63
1	143	63
2	472	63
3	2318	63
4	5001	60

prune49.0ms

Filtered

24 candidates to 13 candidates (54.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

29 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 m (/ (pow m 3) v))
0.0b	(fma 1.0 (/ m (/ v m)) (- (fma 1.0 m (/ (pow m 3) v))))
0.2b	(/ m (/ v m))
7.4b	(/ (pow m 3) v)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
2×	`fma-udef` `associate-/l*`
1×	`unpow3` `associate-/r*` `sqr-pow`

Counts

4 → 14

Calls

4 calls:

1.0ms	(fma 1.0 m (/ (pow m 3) v))
1.0ms	(fma 1.0 (/ m (/ v m)) (- (fma 1.0 m (/ (pow m 3) v))))
3.0ms	(/ m (/ v m))
3.0ms	(/ (pow m 3) v)

series107.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma 1.0 m (/ (pow m 3) v))
37.0ms	(fma 1.0 (/ m (/ v m)) (- (fma 1.0 m (/ (pow m 3) v))))
21.0ms	(/ m (/ v m))
21.0ms	(/ (pow m 3) v)

simplify32.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	59	66
1	179	66
2	678	65
3	5001	65

prune43.0ms

Filtered

26 candidates to 14 candidates (53.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

regimes65.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample729.0ms

Algorithm

intervals

Results

323.0ms	13801×	body	80	valid
185.0ms	13801×	pre	80	true