Details

Time bar (total: 8.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify121.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1179
2289
3409
4509
5669
6839
7949
81019
91099
101149
111169
121209
done1209

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)))

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)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0112990
1275951
2680907
31880903
done5000901

prune71.0ms

Filtered
38 candidates to 61 candidates (-60.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New58361
Fresh000
Picked101
Done000
Total59362

Merged error: 0b

Counts
62 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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:
41.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
7.0ms
(/ x (- 2.0 (+ x y)))
8.0ms
(/ y (- 2.0 (+ x y)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
7.0ms
(/ x (- 2.0 (+ x y)))
7.0ms
(/ y (- 2.0 (+ x y)))

simplify1.4s

Counts
125 → 125
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01761863
13751776
28651698
322281692
done50001690

prune136.0ms

Filtered
85 candidates to 125 candidates (-47.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done000
Total1253128

Merged error: 0b

Counts
128 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 2.0 (+ x y)) (- x y))
0.1b
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
292×*-un-lft-identity
258×times-frac
214×add-sqr-sqrt
100×add-cube-cbrt
83×distribute-lft-out--
57×difference-of-squares
41×associate-/r*
26×distribute-lft-out
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 226
Calls
2 calls:
11.0ms
(/ (- 2.0 (+ x y)) (- x y))
16.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ (- 2.0 (+ x y)) (- x y))
9.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify2.6s

Counts
232 → 232
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02684626
16463997
214883670
344283576
done50013573

prune142.0ms

Filtered
92 candidates to 232 candidates (-152.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2320232
Fresh011
Picked011
Done011
Total2323235

Merged error: 0b

Counts
235 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (+ x y)))
0.0b
(sqrt (- 2.0 (+ x y)))
0.1b
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
0.2b
(/ (- x y) (sqrt (- 2.0 (+ x y))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
1082×*-un-lft-identity
954×times-frac
754×add-sqr-sqrt
660×sqrt-prod
332×add-cube-cbrt
320×distribute-lft-out--
210×difference-of-squares
110×distribute-lft-out
56×associate-/l*
28×sqrt-div
24×associate-/r/
18×associate-/r*
15×flip3-- flip--
12×div-inv
11×add-exp-log add-cbrt-cube
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 649
Calls
4 calls:
6.0ms
(sqrt (- 2.0 (+ x y)))
6.0ms
(sqrt (- 2.0 (+ x y)))
31.0ms
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
12.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (- 2.0 (+ x y)))
7.0ms
(sqrt (- 2.0 (+ x y)))
8.0ms
(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
24.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))

simplify1.2s

Counts
661 → 661
Iterations

Useful iterations: done (1.1s)

IterNodesCost
052221015
1124118197
2301517380
done500017376

prune534.0ms

Filtered
209 candidates to 661 candidates (-216.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New6610661
Fresh000
Picked011
Done022
Total6613664

Merged error: 0b

Counts
664 → 3

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
1915
done915

end0.0ms

sample439.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid

Profiling

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