Details

Time bar (total: 8.9s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×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

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

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify958.0ms

Counts
63 → 63
Iterations

Useful iterations: done (955.0ms)

IterNodesCost
01141010
1283965
2715923
32025921
done5001919

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite72.0ms

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:
28.0ms
(/ (- 2.0 (+ x y)) (- x y))
25.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series181.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(/ (- 2.0 (+ x y)) (- x y))
53.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify2.9s

Counts
236 → 236
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
02724670
16594030
215383703
346783611
done50003611

prune293.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.1b
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
7.7b
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
258×*-un-lft-identity
180×add-sqr-sqrt
150×times-frac
83×distribute-lft-out--
78×cbrt-prod
72×unpow-prod-down cube-prod
66×add-cube-cbrt
57×difference-of-squares
26×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
6×flip3-- associate-/r* flip--
5×div-inv associate-/l*
4×pow1
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 div-sub clear-num rem-cbrt-cube
Counts
3 → 244
Calls
3 calls:
21.0ms
(/ (- x y) (- 2.0 (+ x y)))
26.0ms
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
25.0ms
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

series202.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- x y) (- 2.0 (+ x y)))
90.0ms
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
59.0ms
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

simplify895.0ms

Counts
253 → 253
Iterations

Useful iterations: done (885.0ms)

IterNodesCost
02525383
17304567
222764278
done50004272

prune379.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3)
0.1b
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
7.7b
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))
7.7b
(cbrt (pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
604×*-un-lft-identity
558×cbrt-prod
424×add-sqr-sqrt
378×unpow-prod-down cube-prod
360×times-frac
192×distribute-lft-out--
160×add-cube-cbrt
132×difference-of-squares
60×distribute-lft-out
24×associate-/r/
12×flip3-- flip-- div-inv
8×add-exp-log cube-mult unpow3 sqr-pow
7×add-cbrt-cube
6×pow1 cube-div pow-unpow
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×pow-pow pow1/3 pow-exp rem-cube-cbrt
2×pow-to-exp rem-cbrt-cube
1×cbrt-undiv div-exp
Counts
4 → 547
Calls
4 calls:
61.0ms
(pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3)
22.0ms
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
25.0ms
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))
67.0ms
(cbrt (pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3))

series297.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3)
91.0ms
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
53.0ms
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))
62.0ms
(cbrt (pow (cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3)) 3))

simplify1.1s

Counts
559 → 559
Iterations

Useful iterations: done (1.1s)

IterNodesCost
035115427
190811123
2230610303
done500010295

prune549.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes99.0ms

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
079
189
done89

end0.0ms

sample313.0ms

Algorithm
intervals
Results
176.0ms7997×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid