Details

Time bar (total: 3.0s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
10.0ms
(/ (- x y) (- 2.0 (+ x y)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify119.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0275489
1853468
24118466
35002466

prune98.0ms

Filtered
61 candidates to 38 candidates (62.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58361
Fresh000
Picked011
Done000
Total58462

Merged error: 0b

Counts
62 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.0b
(/ y (- 2.0 (+ x y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
64×times-frac
59×add-sqr-sqrt
41×distribute-lft-out--
27×add-cube-cbrt
14×distribute-lft-out difference-of-squares
12×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 116
Calls
3 calls:
10.0ms
(/ x (- 2.0 (+ x y)))
35.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
7.0ms
(/ y (- 2.0 (+ x y)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ x (- 2.0 (+ x y)))
68.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
44.0ms
(/ y (- 2.0 (+ x y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0377899
11162864
25001858

prune213.0ms

Filtered
125 candidates to 84 candidates (67.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1232125
Fresh202
Picked101
Done011
Total1263129

Merged error: 0b

Counts
129 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 2.0 (+ x y)) x)
0.0b
(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
0.0b
(/ y (- 2.0 (+ x y)))
0.3b
(/ 1 (/ (- 2.0 (+ x y)) x))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
211×*-un-lft-identity
197×times-frac
162×add-sqr-sqrt
89×add-cube-cbrt
47×distribute-lft-out--
31×associate-/r*
30×difference-of-squares
21×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
12×associate-/l*
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×rec-exp 1-exp associate-/l/
1×sub-neg pow-flip diff-log div-sub frac-sub inv-pow
Counts
4 → 223
Calls
4 calls:
8.0ms
(/ (- 2.0 (+ x y)) x)
80.0ms
(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
7.0ms
(/ y (- 2.0 (+ x y)))
10.0ms
(/ 1 (/ (- 2.0 (+ x y)) x))

series177.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (- 2.0 (+ x y)) x)
63.0ms
(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
42.0ms
(/ y (- 2.0 (+ x y)))
48.0ms
(/ 1 (/ (- 2.0 (+ x y)) x))

simplify82.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
07122008
130691728
250021718

prune328.0ms

Filtered
235 candidates to 124 candidates (52.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2350235
Fresh011
Picked011
Done011
Total2353238

Merged error: 0b

Counts
238 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ y (- 2.0 (+ x y)))) (cbrt (/ y (- 2.0 (+ x y)))))
7.4b
(cbrt (/ y (- 2.0 (+ x y))))
7.4b
(cbrt (/ y (- 2.0 (+ x y))))
7.4b
(cbrt (/ y (- 2.0 (+ x y))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
267×*-un-lft-identity
216×cbrt-prod
168×times-frac
156×add-sqr-sqrt
90×add-cube-cbrt
66×distribute-lft-out--
45×swap-sqr
33×distribute-lft-out
27×associate-*r* associate-*l*
21×difference-of-squares
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 228
Calls
4 calls:
29.0ms
(* (cbrt (/ y (- 2.0 (+ x y)))) (cbrt (/ y (- 2.0 (+ x y)))))
10.0ms
(cbrt (/ y (- 2.0 (+ x y))))
8.0ms
(cbrt (/ y (- 2.0 (+ x y))))
7.0ms
(cbrt (/ y (- 2.0 (+ x y))))

series494.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (cbrt (/ y (- 2.0 (+ x y)))) (cbrt (/ y (- 2.0 (+ x y)))))
122.0ms
(cbrt (/ y (- 2.0 (+ x y))))
118.0ms
(cbrt (/ y (- 2.0 (+ x y))))
128.0ms
(cbrt (/ y (- 2.0 (+ x y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04532908
114932808
250022661

prune540.0ms

Filtered
240 candidates to 153 candidates (63.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2400240
Fresh000
Picked011
Done022
Total2403243

Merged error: 0b

Counts
243 → 3

regimes41.0ms

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
084
184

end0.0ms

sample294.0ms

Algorithm
intervals
Results
168.0ms7997×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid