Details

Time bar (total: 7.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1179
2289
3409
4509
5669
6869
71099
81259
91289
done1289

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)))

rewrite28.0ms

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 expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
25.0ms
(/ (- x y) (- 2.0 (+ x y)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.4s

Counts
63 → 63
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01141010
1283965
2774923
33417921
done5001919

prune115.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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 expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
25.0ms
(/ (- x y) (- 2.0 (+ x y)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.4s

Counts
63 → 63
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01141010
1283965
2774923
33417921
done5001919

prune122.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
1352×*-un-lft-identity
946×times-frac
843×add-sqr-sqrt
576×prod-diff
517×add-cube-cbrt
335×distribute-lft-out--
161×distribute-lft-out difference-of-squares
106×associate-/r/
54×flip3-- flip--
53×div-inv
24×fma-neg
12×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 722
Calls
3 calls:
15.0ms
(/ y (- 2.0 (+ x y)))
160.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
15.0ms
(/ x (- 2.0 (+ x y)))

series159.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ y (- 2.0 (+ x y)))
68.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
46.0ms
(/ x (- 2.0 (+ x y)))

simplify1.1s

Counts
731 → 731
Iterations

Useful iterations: done (1.0s)

IterNodesCost
058044551
1124939894
2312730703
done500030677

prune997.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
121×*-un-lft-identity
78×times-frac
76×add-sqr-sqrt
46×add-cube-cbrt
30×distribute-lft-out--
21×distribute-lft-neg-in distribute-rgt-neg-in
15×distribute-lft-out difference-of-squares
13×associate-/l*
12×associate-/r*
9×add-exp-log
7×neg-mul-1 add-cbrt-cube
4×pow1 associate-/r/
3×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- frac-2neg clear-num flip-- div-inv
1×neg-sub0 rec-exp pow-flip 1-exp div-sub distribute-frac-neg fma-udef inv-pow
Counts
3 → 151
Calls
3 calls:
17.0ms
(/ (- y) (- 2.0 (+ x y)))
18.0ms
(/ 1 (- 2.0 (+ x y)))
0.0ms
(fma x (/ 1 (- 2.0 (+ x y))) (/ (- y) (- 2.0 (+ x y))))

series152.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- y) (- 2.0 (+ x y)))
36.0ms
(/ 1 (- 2.0 (+ x y)))
67.0ms
(fma x (/ 1 (- 2.0 (+ x y))) (/ (- y) (- 2.0 (+ x y))))

simplify768.0ms

Counts
160 → 160
Iterations

Useful iterations: done (759.0ms)

IterNodesCost
02122269
14512091
212291974
done50001969

prune302.0ms

Pruning

3 alts after pruning (1 fresh and 2 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: 1 (1.0ms)

IterNodesCost
01017
11415
done1415

end0.0ms

sample306.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid