Details

Time bar (total: 10.6s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify120.0ms

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

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)))

rewrite27.0ms

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:
24.0ms
(/ (- x y) (- 2.0 (+ x y)))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.1s

Counts
63 → 63
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01141010
1283965
2715923
32025921
done5000919

prune130.0ms

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))))

rewrite288.0ms

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:
18.0ms
(/ y (- 2.0 (+ x y)))
16.0ms
(/ x (- 2.0 (+ x y)))
168.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series162.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ y (- 2.0 (+ x y)))
45.0ms
(/ x (- 2.0 (+ x y)))
69.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify1.5s

Counts
731 → 731
Iterations

Useful iterations: done (1.5s)

IterNodesCost
058044551
1124939894
2301530751
done500030677

prune1.2s

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))))

rewrite46.0ms

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:
18.0ms
(/ (- y) (- 2.0 (+ x y)))
20.0ms
(/ 1 (- 2.0 (+ x y)))
0.0ms
(fma x (/ 1 (- 2.0 (+ x y))) (/ (- y) (- 2.0 (+ x y))))

series168.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- y) (- 2.0 (+ x y)))
38.0ms
(/ 1 (- 2.0 (+ x y)))
74.0ms
(fma x (/ 1 (- 2.0 (+ x y))) (/ (- y) (- 2.0 (+ x y))))

simplify1.7s

Counts
160 → 160
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02122269
14512091
210651974
328951969
done50001967

prune365.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

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)))

rewrite79.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 230
Calls
2 calls:
31.0ms
(/ (- 2.0 (+ x y)) (- x y))
32.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series183.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(/ (- 2.0 (+ x y)) (- x y))
60.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify2.8s

Counts
236 → 236
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
02724670
16594030
215383703
346793611
done50003611

prune315.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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

sample322.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid