Details

Time bar (total: 14.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify190.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1179
2289
3419
4549
5659
6779
7899
8969
91049
101059
111079
121089
done1089

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

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:
60.0ms
(/ (- x y) (- 2.0 (+ x y)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.6s

Counts
63 → 63
Iterations

Useful iterations: 3 (588.0ms)

IterNodesCost
01141010
1284965
2745923
32060921
done5000921

prune150.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite532.0ms

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:
31.0ms
(/ x (- 2.0 (+ x y)))
36.0ms
(/ y (- 2.0 (+ x y)))
351.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series220.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ x (- 2.0 (+ x y)))
58.0ms
(/ y (- 2.0 (+ x y)))
86.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify2.4s

Counts
731 → 731
Iterations

Useful iterations: done (2.4s)

IterNodesCost
058044551
1129639894
2284530752
done500022997

prune752.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 2.0 x) y)
0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ 1 (- (/ (- 2.0 x) y) 1)))
0.4b
(/ 1 (- (/ (- 2.0 x) y) 1))

rewrite763.0ms

Algorithm
rewrite-expression-head
Rules
1837×add-sqr-sqrt
1696×times-frac
1671×*-un-lft-identity
864×prod-diff
746×add-cube-cbrt
429×difference-of-squares
325×distribute-lft-out--
152×difference-of-sqr-1
126×associate-/r/
117×distribute-lft-out
65×flip3-- flip-- div-inv
24×fma-neg
19×associate-/r*
12×add-exp-log
11×associate-/l*
10×add-cbrt-cube
6×add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u
3×cbrt-undiv frac-2neg clear-num
2×associate-/l/
1×sub-neg rec-exp pow-flip diff-log 1-exp div-sub frac-sub inv-pow
Counts
4 → 1063
Calls
4 calls:
22.0ms
(/ (- 2.0 x) y)
31.0ms
(/ x (- 2.0 (+ x y)))
450.0ms
(- (/ x (- 2.0 (+ x y))) (/ 1 (- (/ (- 2.0 x) y) 1)))
102.0ms
(/ 1 (- (/ (- 2.0 x) y) 1))

series250.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (- 2.0 x) y)
53.0ms
(/ x (- 2.0 (+ x y)))
78.0ms
(- (/ x (- 2.0 (+ x y))) (/ 1 (- (/ (- 2.0 x) y) 1)))
83.0ms
(/ 1 (- (/ (- 2.0 x) y) 1))

simplify2.6s

Counts
1075 → 1075
Iterations

Useful iterations: done (2.5s)

IterNodesCost
086581234
1191267855
2327454221
done500049200

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt (- 2.0 (+ x y)))
0.7b
(cbrt (- 2.0 (+ x y)))
0.7b
(cbrt (- 2.0 (+ x y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×cbrt-prod
14×add-sqr-sqrt
8×add-cube-cbrt
6×cbrt-div distribute-lft-out--
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip-- distribute-lft-out difference-of-squares
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt x)
15.0ms
(cbrt (- 2.0 (+ x y)))
14.0ms
(cbrt (- 2.0 (+ x y)))
28.0ms
(cbrt (- 2.0 (+ x y)))

series716.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt x)
158.0ms
(cbrt (- 2.0 (+ x y)))
180.0ms
(cbrt (- 2.0 (+ x y)))
118.0ms
(cbrt (- 2.0 (+ x y)))

simplify1.4s

Counts
79 → 79
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0101944
1231883
2539832
31468784
done5000760

prune393.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
11517
done1517

end0.0ms

sample1.0s

Algorithm
intervals
Results
751.0ms7999×body80valid
0.0ms1×body640valid