Details

Time bar (total: 6.8s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
111122
214122
316122
done16122

prune4.0ms

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))

rewrite18.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 46
Calls
1 calls:
17.0ms
(/ (- x y) (+ x y))

series348.0ms

Counts
1 → 3
Calls
1 calls:
348.0ms
(/ (- x y) (+ x y))

simplify590.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
07812249
119311310
273911190
done500011190

prune131.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)))

rewrite109.0ms

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-cbrt-cube add-exp-log 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 clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
12.0ms
(/ y (+ x y))
13.0ms
(/ x (+ x y))
79.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ y (+ x y))
53.0ms
(/ x (+ x y))
110.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.2s

Counts
103 → 103
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
013021987
128719961
293519761
3491219761
done500119761

prune361.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
152×times-frac
111×add-sqr-sqrt
87×add-cube-cbrt
51×distribute-lft-out
48×swap-sqr
36×associate-*r* associate-*l*
30×add-cbrt-cube add-exp-log
22×associate-/r/
18×pow1
12×flip3-+ flip-+
11×div-inv
9×cbrt-undiv div-exp
8×prod-exp cbrt-unprod unswap-sqr
6×add-log-exp
4×associate-/r*
3×distribute-rgt-out associate-/l*
2×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
1×+-commutative clear-num sum-log frac-2neg frac-add
Counts
4 → 231
Calls
4 calls:
9.0ms
(/ y (+ x y))
67.0ms
(+ (/ x (+ x y)) (/ y (+ x y)))
58.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
56.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ y (+ x y))
52.0ms
(+ (/ x (+ x y)) (/ y (+ x y)))
71.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
77.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify853.0ms

Counts
243 → 243
Iterations

Useful iterations: done (827.0ms)

IterNodesCost
025359307
191752602
done500050436

prune838.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes76.0ms

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 (1.0ms)

IterNodesCost
010322
112322
done12322

end0.0ms

sample480.0ms

Algorithm
intervals
Results
262.0ms8000×body80valid