Details

Time bar (total: 3.0s)

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2265
3295
4305
5305

prune2.0ms

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: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.4b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-/r/
1×sub-neg flip3-- frac-2neg flip3-+ clear-num flip-- flip-+ div-inv
Counts
2 → 9
Calls
2 calls:
3.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
63.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0168120
1546115
22403105
35002103

prune35.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ (* x y) 2.0) 3)
1.5b
(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
2.8b
(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
20.8b
(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
229×associate-*r/
224×associate-/l*
216×frac-sub
166×clear-num
158×frac-times
142×*-commutative
116×frac-2neg
60×div-inv
47×un-div-inv
45×prod-diff
40×associate-*l/
34×associate-+r+
27×associate-*r*
19×distribute-rgt-in distribute-lft-in
14×sub-div
13×associate-*l*
10×swap-sqr
7×flip3-+ flip-+
5×fma-neg
4×associate-/r* associate-/r/ sum-cubes
3×sub-neg distribute-rgt-out--
2×+-commutative distribute-lft-out--
1×pow-to-exp unpow-prod-down flip3-- unpow3 flip-- sqr-pow
Counts
4 → 325
Calls
4 calls:
3.0ms
(pow (/ (* x y) 2.0) 3)
6.0ms
(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
23.0ms
(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
19.0ms
(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

series348.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(pow (/ (* x y) 2.0) 3)
63.0ms
(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
74.0ms
(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
158.0ms
(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

simplify120.0ms

Algorithm
egg-herbie
Counts
337 → 337
Iterations

Useful iterations: 1 (64.0ms)

IterNodesCost
034665356
150015259

prune695.0ms

Filtered
337 candidates to 158 candidates (46.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3361337
Fresh022
Picked101
Done011
Total3374341

Merged error: 0b

Counts
341 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

1.4b
(/ (- (* (* (- (* x y)) (* x y)) (/ 2.0 x)) (* (* (- 2.0) 2.0) (* 1.0 y))) (* (* 2.0 (/ 2.0 x)) (- 2.0)))
1.5b
(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
8.7b
(* (* (- (* x y)) (* x y)) (/ 2.0 x))
20.8b
(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (/ (- (* (* (- (* x y)) (* x y)) (/ 2.0 x)) (* (* (- 2.0) 2.0) (* 1.0 y))) (* (* 2.0 (/ 2.0 x)) (- 2.0)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
51×associate-*l*
17×neg-mul-1
10×associate-/r* *-commutative
9×clear-num
8×frac-times associate-*r/ associate-*l/ associate-/r/
7×frac-2neg flip3-+ associate-*r* flip-+ distribute-lft-out--
6×times-frac div-inv
4×sum-cubes
2×+-commutative distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-in distribute-rgt-neg-in distribute-lft-in un-div-inv associate-/l/
1×flip3-- div-sub flip-- associate-/l*
Counts
4 → 67
Calls
4 calls:
31.0ms
(/ (- (* (* (- (* x y)) (* x y)) (/ 2.0 x)) (* (* (- 2.0) 2.0) (* 1.0 y))) (* (* 2.0 (/ 2.0 x)) (- 2.0)))
6.0ms
(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
8.0ms
(* (* (- (* x y)) (* x y)) (/ 2.0 x))
28.0ms
(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (/ (- (* (* (- (* x y)) (* x y)) (/ 2.0 x)) (* (* (- 2.0) 2.0) (* 1.0 y))) (* (* 2.0 (/ 2.0 x)) (- 2.0)))))

series338.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (- (* (* (- (* x y)) (* x y)) (/ 2.0 x)) (* (* (- 2.0) 2.0) (* 1.0 y))) (* (* 2.0 (/ 2.0 x)) (- 2.0)))
62.0ms
(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
32.0ms
(* (* (- (* x y)) (* x y)) (/ 2.0 x))
159.0ms
(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (/ (- (* (* (- (* x y)) (* x y)) (/ 2.0 x)) (* (* (- 2.0) 2.0) (* 1.0 y))) (* (* 2.0 (/ 2.0 x)) (- 2.0)))))

simplify125.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
07391406
145251379
250011377

prune383.0ms

Filtered
79 candidates to 70 candidates (88.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh022
Picked011
Done011
Total79483

Merged error: 0b

Counts
83 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 2.0 x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
1×sub-neg flip3-- flip--
Counts
1 → 4
Calls
1 calls:
3.0ms
(- x (/ 2.0 x))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(- x (/ 2.0 x))

simplify62.0ms

Algorithm
egg-herbie
Counts
7 → 7
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
05830
113026
248226
3171126
4500126

prune6.0ms

Filtered
7 candidates to 3 candidates (42.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New707
Fresh011
Picked011
Done022
Total7411

Merged error: 0b

Counts
11 → 4

regimes57.0ms

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
0115
1115

end0.0ms

sample358.0ms

Algorithm
intervals
Results
222.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid