Details

sample290.0ms

Algorithm

intervals

Results

13.0ms	424×	body	80	valid
7.0ms	424×	pre	80	true

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 27

Calls

3 calls:

3.0ms	(* m (- 1.0 m))
8.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)

series146.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
62.0ms	(/ (* m (- 1.0 m)) v)

simplify90.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	199	258
1	702	255
2	3656	248
3	5002	248

prune72.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 27

Calls

3 calls:

3.0ms	(/ v (- 1.0 m))
8.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
4.0ms	(/ m (/ v (- 1.0 m)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ v (- 1.0 m))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))

simplify136.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	224	277
1	917	276
2	4594	268
3	5001	268

prune78.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 29

Calls

3 calls:

5.0ms	(+ (* 1.0 m) (* (- m) m))
10.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
6.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

series137.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (* 1.0 m) (* (- m) m))
38.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
45.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

simplify119.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	236	345
1	901	323
2	4855	287
3	5001	287

prune71.0ms

Filtered

38 candidates to 22 candidates (57.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))
0.1b	(* m (- (pow 1.0 3) (pow m 3)))
0.1b	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
0.1b	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-commutative`
8×	`flip3--` `times-frac` `associate-r` `flip--` `sqr-pow`
6×	`associate-r/` `associate-l/`
4×	`difference-cubes` `distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-/l*` `difference-of-squares`
2×	`flip3-+` `associate-/r*` `associate-/r/` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 46

Calls

4 calls:

22.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))
5.0ms	(* m (- (pow 1.0 3) (pow m 3)))
7.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
13.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

series319.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))
94.0ms	(* m (- (pow 1.0 3) (pow m 3)))
33.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
103.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

simplify52.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	411	694
1	1593	687
2	5001	664

prune165.0ms

Filtered

58 candidates to 45 candidates (77.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample732.0ms

Algorithm

intervals

Results

329.0ms	13801×	body	80	valid
183.0ms	13801×	pre	80	true