Details

Time bar (total: 1.7s)

sample20.0ms

Algorithm
intervals
Results
10.0ms472×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1254
2274
3274

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y y) (* x (+ 2.0 x)))
0.0b
(* x (+ 2.0 x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×+-commutative
4×distribute-rgt-in associate-+r+ distribute-lft-in
2×flip3-+ associate-*r/ flip-+
1×*-commutative
Counts
2 → 14
Calls
2 calls:
5.0ms
(+ (* y y) (* x (+ 2.0 x)))
3.0ms
(* x (+ 2.0 x))

series73.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* y y) (* x (+ 2.0 x)))
44.0ms
(* x (+ 2.0 x))

simplify57.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
010779
140675
2196775
3500175

prune33.0ms

Filtered
20 candidates to 12 candidates (60.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New18220
Fresh101
Picked011
Done000
Total19322

Merged error: 0.0b

Counts
22 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y y) (* x x))
0.0b
(+ (+ (* y y) (* x x)) (* 2.0 x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×+-commutative
2×associate-+l+ flip3-+ flip-+
Counts
2 → 8
Calls
2 calls:
4.0ms
(+ (* y y) (* x x))
6.0ms
(+ (+ (* y y) (* x x)) (* 2.0 x))

series58.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* y y) (* x x))
32.0ms
(+ (+ (* y y) (* x x)) (* 2.0 x))

simplify57.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
012991
154081
2169678
3500178

prune31.0ms

Filtered
14 candidates to 10 candidates (71.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New14014
Fresh011
Picked011
Done011
Total14317

Merged error: 0.0b

Counts
17 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2)))
0.2b
(pow (* y y) 3)
2.4b
(+ (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))) (* (* y y) (* y y)))
37.6b
(/ (+ (pow (* y y) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))) (* (* y y) (* y y))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
20×distribute-rgt-in distribute-lft-in
16×associate--l+
12×associate-+l+
9×+-commutative
8×associate-*r/
6×flip3-+ flip-+
4×frac-times sub-neg
3×flip3-- *-commutative flip--
2×unpow-prod-down associate-*l* associate-*l/ associate-/r/ associate-/l/
1×pow2 pow-to-exp pow-pow frac-2neg unpow3 clear-num sum-cubes div-inv associate-/l* sqr-pow
Counts
4 → 52
Calls
4 calls:
10.0ms
(* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2)))
2.0ms
(pow (* y y) 3)
18.0ms
(+ (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))) (* (* y y) (* y y)))
24.0ms
(/ (+ (pow (* y y) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))) (* (* y y) (* y y))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2)))
46.0ms
(pow (* y y) 3)
96.0ms
(+ (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))) (* (* y y) (* y y)))
149.0ms
(/ (+ (pow (* y y) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))) (* (* y y) (* y y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0426661
11810636
25001636

prune193.0ms

Filtered
64 candidates to 43 candidates (67.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done022
Total64367

Merged error: 0.0b

Counts
67 → 3

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample538.0ms

Algorithm
intervals
Results
324.0ms14375×body80valid