Details

Time bar (total: 7.0s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify136.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1179
2289
3409
4519
5699
61149
71629
81969
92129
done2129

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:
21.0ms
(/ (- x y) (- 2.0 (+ x y)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.5s

Counts
61 → 61
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0112990
1275951
2820905
33757903
done5000901

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite166.0ms

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:
15.0ms
(/ y (- 2.0 (+ x y)))
15.0ms
(/ x (- 2.0 (+ x y)))
128.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series153.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (- 2.0 (+ x y)))
47.0ms
(/ x (- 2.0 (+ x y)))
61.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify465.0ms

Counts
125 → 125
Iterations

Useful iterations: done (462.0ms)

IterNodesCost
01761863
13841776
211691700
done50001692

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

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)))

rewrite71.0ms

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:
26.0ms
(/ (- 2.0 (+ x y)) (- x y))
26.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(/ (- 2.0 (+ x y)) (- x y))
47.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify1.4s

Counts
232 → 232
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02684626
16564115
225053668
done50013666

prune253.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
0.1b
(pow (/ x (- 2.0 (+ x y))) 3)
16.0b
(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
126×add-sqr-sqrt
101×times-frac
66×cbrt-prod
57×add-cube-cbrt
52×unpow-prod-down cube-prod
33×distribute-lft-out--
30×difference-of-squares
16×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×flip3-- associate-/r* flip-- add-log-exp
5×pow1 div-inv
4×sqr-pow
3×cube-div pow-unpow associate-/l*
2×cbrt-undiv cube-mult cbrt-div unpow3 div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log clear-num frac-sub rem-cbrt-cube
Counts
4 → 201
Calls
4 calls:
17.0ms
(/ x (- 2.0 (+ x y)))
282.0ms
(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
19.0ms
(pow (/ x (- 2.0 (+ x y))) 3)
21.0ms
(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

series281.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ x (- 2.0 (+ x y)))
95.0ms
(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
70.0ms
(pow (/ x (- 2.0 (+ x y))) 3)
65.0ms
(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

simplify936.0ms

Counts
213 → 213
Iterations

Useful iterations: done (929.0ms)

IterNodesCost
02604218
16943515
225323249
done50003248

prune354.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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

sample286.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid