Details

Time bar (total: 6.9s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
11.0ms
(/ (- x y) (+ x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- x y) (+ x y))

simplify3.5s

Counts
49 → 49
Iterations

Useful iterations: 4 (789.0ms)

IterNodesCost
078600
1187573
2484545
31466545
44617538
done5000538

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
6.0ms
(/ y (+ x y))
6.0ms
(/ x (+ x y))
51.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ y (+ x y))
42.0ms
(/ x (+ x y))
75.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify968.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
01301135
12741070
27561028
321181028
done50011028

prune180.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.1b
(pow (/ x (+ x y)) 3)
9.7b
(cbrt (pow (/ x (+ x y)) 3))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
81×*-un-lft-identity
71×times-frac
54×cbrt-prod
47×add-cube-cbrt
40×unpow-prod-down cube-prod
16×distribute-lft-out
14×difference-of-squares
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1 flip3-+ flip-+ div-inv
4×associate-/r* sqr-pow
3×cube-div pow-unpow associate-/l*
2×cbrt-undiv cube-mult cbrt-div unpow3 div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg flip3-- pow-pow frac-2neg pow1/3 diff-log clear-num frac-sub flip-- rem-cbrt-cube distribute-lft-out--
Counts
4 → 169
Calls
4 calls:
6.0ms
(/ x (+ x y))
133.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
8.0ms
(pow (/ x (+ x y)) 3)
9.0ms
(cbrt (pow (/ x (+ x y)) 3))

series232.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ x (+ x y))
72.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
76.0ms
(pow (/ x (+ x y)) 3)
43.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify846.0ms

Counts
181 → 181
Iterations

Useful iterations: 2 (169.0ms)

IterNodesCost
01962836
15232267
218922073
done50012073

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

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
0611
1711
done711

end0.0ms

sample280.0ms

Algorithm
intervals
Results
151.0ms8000×body80valid