Details

Time bar (total: 5.7s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify105.0ms

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)))

rewrite22.0ms

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:
19.0ms
(/ (- x y) (- 2.0 (+ x y)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify795.0ms

Counts
61 → 61
Iterations

Useful iterations: done (793.0ms)

IterNodesCost
0112990
1275951
2681905
31882903
done5001901

prune98.0ms

Pruning

4 alts after pruning (3 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)))

rewrite64.0ms

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:
27.0ms
(/ (- 2.0 (+ x y)) (- x y))
24.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series181.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(/ (- 2.0 (+ x y)) (- x y))
63.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify2.5s

Counts
232 → 232
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02684626
16463997
214893668
344413576
done50003573

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
23×cbrt-prod
16×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
7×distribute-lft-out--
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp difference-of-squares
3×distribute-lft-out
Counts
4 → 63
Calls
4 calls:
2.0ms
(cbrt (- x y))
6.0ms
(cbrt (- 2.0 (+ x y)))
6.0ms
(cbrt (- 2.0 (+ x y)))
7.0ms
(cbrt (- 2.0 (+ x y)))

series446.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- x y))
97.0ms
(cbrt (- 2.0 (+ x y)))
98.0ms
(cbrt (- 2.0 (+ x y)))
99.0ms
(cbrt (- 2.0 (+ x y)))

simplify621.0ms

Counts
75 → 75
Iterations

Useful iterations: 3 (224.0ms)

IterNodesCost
01351017
1310968
2663915
31798853
done5000853

prune229.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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

sample298.0ms

Algorithm
intervals
Results
173.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid