Details

Time bar (total: 7.8s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify135.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1179
2289
3409
4519
5699
61149
71629
81969
92129
done2129

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)))

rewrite25.0ms

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:
22.0ms
(/ (- x y) (- 2.0 (+ x y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.7s

Counts
63 → 63
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01141010
1283965
2866923
33985921
done5001919

prune117.0ms

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)))

rewrite74.0ms

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:
30.0ms
(/ (- 2.0 (+ x y)) (- x y))
26.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
127.0ms
(/ (- 2.0 (+ x y)) (- x y))
51.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify1.6s

Counts
236 → 236
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02724670
16704148
225563703
done50013701

prune277.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
328×*-un-lft-identity
238×times-frac
168×add-sqr-sqrt
101×distribute-lft-out--
70×add-cube-cbrt
41×difference-of-squares
35×associate-/r*
34×distribute-lft-out
24×associate-/r/
12×distribute-rgt-out--
11×add-exp-log flip3-- flip-- div-inv
10×associate-/l*
9×add-cbrt-cube
4×pow1 div-exp
3×cbrt-undiv expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×rec-exp pow-flip flip3-+ 1-exp frac-sub flip-+ inv-pow sub-div
Counts
3 → 211
Calls
3 calls:
5.0ms
(/ 2.0 (- x y))
13.0ms
(/ (+ x y) (- x y))
98.0ms
(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))

series249.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 2.0 (- x y))
69.0ms
(/ (+ x y) (- x y))
132.0ms
(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))

simplify1.0s

Counts
220 → 220
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02773909
15753458
221053286
done50013284

prune323.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

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)))

rewrite26.0ms

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 expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
3×distribute-lft-out
Counts
4 → 71
Calls
4 calls:
2.0ms
(cbrt (- x y))
7.0ms
(cbrt (- 2.0 (+ x y)))
7.0ms
(cbrt (- 2.0 (+ x y)))
7.0ms
(cbrt (- 2.0 (+ x y)))

series479.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(cbrt (- x y))
106.0ms
(cbrt (- 2.0 (+ x y)))
106.0ms
(cbrt (- 2.0 (+ x y)))
108.0ms
(cbrt (- 2.0 (+ x y)))

simplify778.0ms

Counts
83 → 83
Iterations

Useful iterations: done (775.0ms)

IterNodesCost
01391069
13241006
2740953
32407895
done5001893

prune277.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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

sample294.0ms

Algorithm
intervals
Results
167.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid