Details

Time bar (total: 16.1s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

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: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- x y) (+ x y))

rewrite24.0ms

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

series101.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(/ (- x y) (+ x y))

simplify3.0s

Counts
49 → 49
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
078600
1188573
2463545
31100545
42967538
done5000538

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite193.0ms

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:
13.0ms
(/ x (+ x y))
22.0ms
(/ y (+ x y))
154.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series243.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ x (+ x y))
59.0ms
(/ y (+ x y))
128.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.8s

Counts
103 → 103
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01301135
12611070
25601028
311971028
434561024
done50011024

prune316.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (+ x y)) (/ y (+ x y)))
0.1b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
0.1b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
0.1b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))

rewrite374.0ms

Algorithm
rewrite-expression-head
Rules
111×*-un-lft-identity
64×times-frac
63×add-sqr-sqrt
51×cbrt-prod
28×distribute-lft-out--
16×associate-/r/ distribute-lft-out difference-of-squares
15×add-cube-cbrt
12×cbrt-div distribute-rgt-out--
8×flip3-+ flip-+ div-inv
6×add-log-exp
4×pow1 add-exp-log flip3-- frac-sub add-cbrt-cube flip-- sub-div
3×pow1/3
1×sub-neg diff-log
Counts
4 → 115
Calls
4 calls:
136.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
55.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
64.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
105.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
254.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
246.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
284.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))

simplify2.3s

Counts
127 → 127
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01122410
12122334
23902224
38462215
424002199
done50012199

prune466.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
53.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))

series871.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
231.0ms
(cbrt (- x y))
241.0ms
(cbrt (- x y))
208.0ms
(cbrt (- x y))

simplify3.1s

Counts
113 → 113
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01311384
12621281
26171223
313371124
435021080
done50011032

prune388.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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
0611
1711
done711

end0.0ms

sample635.0ms

Algorithm
intervals
Results
396.0ms8000×body80valid