Details

Time bar (total: 11.1s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:
31.0ms
(/ (- x y) (+ x y))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ (- x y) (+ x y))

simplify2.6s

Counts
49 → 49
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
078600
1188573
2463545
31100545
42967538
done5000538

prune124.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)))

rewrite151.0ms

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:
18.0ms
(/ y (+ x y))
18.0ms
(/ x (+ x y))
109.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ y (+ x y))
43.0ms
(/ x (+ x y))
116.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.3s

Counts
103 → 103
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
01301135
12611070
25621028
311991028
434571024
done50011024

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ x (+ x y))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
152×times-frac
118×add-sqr-sqrt
94×add-cube-cbrt
48×swap-sqr
44×distribute-lft-out
36×associate-*r* associate-*l*
32×add-exp-log add-cbrt-cube
20×associate-/r/
18×pow1
10×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×prod-exp associate-/r* cbrt-unprod unswap-sqr
6×associate-/l*
4×add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 242
Calls
4 calls:
12.0ms
(/ x (+ x y))
11.0ms
(/ x (+ x y))
58.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
57.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ x (+ x y))
56.0ms
(/ x (+ x y))
74.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
66.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify1.6s

Counts
254 → 254
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02283802
16963416
225333012
done50002856

prune598.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.2b
(pow (/ x (+ x y)) 3)
11.5b
(cbrt (pow (/ x (+ x y)) 3))

rewrite346.0ms

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:
20.0ms
(/ x (+ x y))
280.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
23.0ms
(pow (/ x (+ x y)) 3)
15.0ms
(cbrt (pow (/ x (+ x y)) 3))

series330.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ x (+ x y))
90.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
116.0ms
(pow (/ x (+ x y)) 3)
47.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify1.1s

Counts
181 → 181
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01962836
14802267
214152073
done50002064

prune397.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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
01035
11235
done1235

end0.0ms

sample585.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid