Details

Time bar (total: 2.9s)

sample297.0ms

Algorithm
intervals
Results
12.0ms467×body80valid
7.0ms467×pre80true

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1406
21056
33546
411026
531896
650026

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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))

rewrite26.0ms

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/ associate-/l/ associate-/l*
1×frac-2neg clear-num div-inv
Counts
4 → 31
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))

series177.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* m (- 1.0 m))
24.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
39.0ms
(/ (* m (- 1.0 m)) v)
64.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify92.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0205310
1713307
23676291
35002291

prune88.0ms

Filtered
43 candidates to 26 candidates (60.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New37643
Fresh000
Picked101
Done000
Total38644

Merged error: 0.0b

Counts
44 → 6

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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×flip3-- flip--
7×associate-/r/
4×frac-times
3×sub-neg frac-2neg clear-num associate-/r* div-inv
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/
1×*-commutative
Counts
4 → 31
Calls
4 calls:
2.0ms
(/ v (- 1.0 m))
3.0ms
(/ m (/ v (- 1.0 m)))
5.0ms
(- (/ m (/ v (- 1.0 m))) 1.0)
9.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series136.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ v (- 1.0 m))
38.0ms
(/ m (/ v (- 1.0 m)))
27.0ms
(- (/ m (/ v (- 1.0 m))) 1.0)
37.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify141.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0230329
1928328
24615311
35002311

prune92.0ms

Filtered
43 candidates to 29 candidates (67.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New39443
Fresh415
Picked101
Done000
Total44549

Merged error: 0.0b

Counts
49 → 5

localize15.0ms

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))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-/r/
14×associate-/r*
9×flip3-- *-commutative flip--
8×associate-/l* difference-of-squares
6×associate-/l/
5×frac-2neg clear-num div-inv
4×frac-times
3×sub-neg
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/
1×flip3-+ flip-+
Counts
4 → 49
Calls
4 calls:
6.0ms
(/ m (/ v (- (* 1.0 1.0) (* m m))))
11.0ms
(- (/ (/ 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))

series243.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ m (/ v (- (* 1.0 1.0) (* m m))))
50.0ms
(- (/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m)) 1.0)
63.0ms
(* (- (/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m)) 1.0) (- 1.0 m))
78.0ms
(/ (/ m (/ v (- (* 1.0 1.0) (* m m)))) (+ 1.0 m))

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0309575
11300570
25002529

prune130.0ms

Filtered
61 candidates to 41 candidates (67.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New59261
Fresh224
Picked101
Done000
Total62466

Merged error: 0.0b

Counts
66 → 4

localize15.0ms

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)

rewrite49.0ms

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×sqr-pow
4×frac-times div-inv sub-div
3×sub-neg
2×distribute-rgt-in distribute-lft-in div-sub associate-*l/ associate-/r/
1×associate--l- distribute-rgt-out-- flip3-+ associate-*r* *-commutative flip-+
Counts
4 → 56
Calls
4 calls:
14.0ms
(- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0)
17.0ms
(* (- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0) (- 1.0 m))
11.0ms
(/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m))
3.0ms
(/ (pow m 3) v)

series194.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0)
62.0ms
(* (- (/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m)) 1.0) (- 1.0 m))
61.0ms
(/ (- (* 1.0 (/ m v)) (/ (pow m 3) v)) (+ 1.0 m))
23.0ms
(/ (pow m 3) v)

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0355604
11338603
25001589

prune183.0ms

Filtered
68 candidates to 57 candidates (83.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New66268
Fresh213
Picked011
Done000
Total68472

Merged error: 0.0b

Counts
72 → 4

regimes44.0ms

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)

IterNodesCost
01710
11710

end0.0ms

sample714.0ms

Algorithm
intervals
Results
318.0ms13809×body80valid
180.0ms13809×pre80true