Details

Time bar (total: 2.1s)

analyze34.0ms

Algorithm
search

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune2.0ms

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)))

rewrite14.0ms

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:
12.0ms
(/ (- x y) (- 2.0 (+ x y)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify109.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0275489
1853468
24104466
35001466

prune67.0ms

Filtered
38 candidates to 61 candidates (-60.5%)
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))) (/ y (- 2.0 (+ x y))))
0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(/ x (- 2.0 (+ x y)))

rewrite52.0ms

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:
34.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
6.0ms
(/ y (- 2.0 (+ x y)))
6.0ms
(/ x (- 2.0 (+ x y)))

series23.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
6.0ms
(/ y (- 2.0 (+ x y)))
6.0ms
(/ x (- 2.0 (+ x y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0377899
11162864
25001858

prune128.0ms

Filtered
84 candidates to 125 candidates (-48.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done011
Total1254129

Merged error: 0b

Counts
129 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
23×cbrt-prod
16×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
7×distribute-lft-out--
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp difference-of-squares
3×distribute-lft-out
Counts
4 → 63
Calls
4 calls:
3.0ms
(cbrt (- x y))
5.0ms
(cbrt (- 2.0 (+ x y)))
5.0ms
(cbrt (- 2.0 (+ x y)))
5.0ms
(cbrt (- 2.0 (+ x y)))

series75.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- x y))
16.0ms
(cbrt (- 2.0 (+ x y)))
18.0ms
(cbrt (- 2.0 (+ x y)))
16.0ms
(cbrt (- 2.0 (+ x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0305603
1724577
22515561
35001546

prune150.0ms

Filtered
59 candidates to 75 candidates (-27.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh011
Picked011
Done022
Total75479

Merged error: 0b

Counts
79 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
0.3b
(/ (- x y) (sqrt (- 2.0 (+ x y))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
1068×*-un-lft-identity
954×times-frac
744×add-sqr-sqrt
648×sqrt-prod
328×add-cube-cbrt
316×distribute-lft-out--
208×difference-of-squares
108×distribute-lft-out
56×associate-/l*
24×sqrt-div associate-/r/
18×associate-/r*
13×flip3-- flip--
12×div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
3×div-sub associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 613
Calls
2 calls:
31.0ms
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
10.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
15.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))

simplify164.0ms

Algorithm
egg-herbie
Counts
619 → 619
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0120010982
146089831
250019824

prune422.0ms

Filtered
175 candidates to 619 candidates (-253.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New6190619
Fresh000
Picked011
Done033
Total6194623

Merged error: 0b

Counts
623 → 4

regimes117.0ms

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
097
197

end0.0ms

analyze37.0ms

Algorithm
search

sample353.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid

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