Details

sample286.0ms

Algorithm

intervals

Results

12.0ms	467×	body	80	valid
7.0ms	467×	pre	80	true

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	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 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

3.0ms	(* m (- 1.0 m))
6.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
4.0ms	(/ (* m (- 1.0 m)) v)
11.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series170.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
37.0ms	(/ (* m (- 1.0 m)) v)
62.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify100.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	216	305
1	763	300
2	3979	280
3	5001	277

prune96.0ms

Filtered

44 candidates to 27 candidates (61.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	7	45

Merged error: 0.0b

Counts

45 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 35

Calls

4 calls:

3.0ms	(/ v (- 1.0 m))
3.0ms	(/ m (/ v (- 1.0 m)))
6.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
8.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series134.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ v (- 1.0 m))
36.0ms	(/ m (/ v (- 1.0 m)))
23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
38.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify32.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	243	327
1	995	316
2	5001	298

prune103.0ms

Filtered

47 candidates to 33 candidates (70.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-/r/`
14×	`associate-/r*`
9×	`flip3--` `*-commutative` `flip--`
8×	`associate-/l*` `difference-of-squares`
6×	`div-inv` `associate-/l/`
5×	`frac-2neg` `clear-num`
4×	`frac-times`
3×	`sub-neg` `fma-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-r/` `associate-l/` `flip-+`

Counts

4 → 52

Calls

4 calls:

6.0ms	(/ m (/ v (- (* 1.0 1.0) (* m m))))
12.0ms	(- (/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m)) 1.0)
13.0ms	(* (- (/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m)) 1.0) (- 1.0 m))
9.0ms	(/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m))

series230.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ m (/ v (- (* 1.0 1.0) (* m m))))
50.0ms	(- (/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m)) 1.0)
61.0ms	(* (- (/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m)) 1.0) (- 1.0 m))
72.0ms	(/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m))

simplify41.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	326	571
1	1386	565
2	5001	523

prune148.0ms

Filtered

64 candidates to 44 candidates (68.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0)
0.0b	(* (- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0) (- 1.0 m))
0.1b	(/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m))
11.1b	(/ (pow m 3) v)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-/l/`
20×	`associate-*r/` `frac-sub`
18×	`clear-num`
13×	`frac-2neg` `associate-/l*`
8×	`flip3--` `flip--`
7×	`unpow3`
6×	`un-div-inv`
5×	`div-inv` `sqr-pow`
4×	`frac-times` `associate-/r/` `sub-div`
3×	`sub-neg` `fma-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-sub` `associate-*l/` `flip-+`
1×	`associate--l-` `distribute-rgt-out--` `associate-r` `*-commutative`

Counts

4 → 59

Calls

4 calls:

15.0ms	(- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0)
16.0ms	(* (- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0) (- 1.0 m))
15.0ms	(/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m))
3.0ms	(/ (pow m 3) v)

series188.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0)
58.0ms	(* (- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0) (- 1.0 m))
58.0ms	(/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m))
21.0ms	(/ (pow m 3) v)

simplify43.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	372	596
1	1413	593
2	5001	579

prune200.0ms

Filtered

71 candidates to 60 candidates (84.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

regimes43.0ms

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	17	10
1	17	10

end0.0ms

sample723.0ms

Algorithm

intervals

Results

318.0ms	13809×	body	80	valid
181.0ms	13809×	pre	80	true