Details

Time bar (total: 2.6s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163
done163

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:
20.0ms
(/ (- x y) (+ x y))

series66.0ms

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

simplify50.0ms

Counts
49 → 49
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0187290
1526276
21771276
35002273
done5002273

prune80.0ms

Pruning

4 alts after pruning (3 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)))

rewrite93.0ms

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:
10.0ms
(/ y (+ x y))
10.0ms
(/ x (+ x y))
69.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ y (+ x y))
51.0ms
(/ x (+ x y))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify55.0ms

Counts
103 → 103
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260536
1791515
22132515
35001515
done5001515

prune160.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) y)
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
0.5b
(/ 1 (/ (+ x y) y))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
127×*-un-lft-identity
104×add-sqr-sqrt
71×add-cube-cbrt
23×associate-/r*
21×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
4×distribute-lft-out--
3×frac-2neg clear-num associate-/r/
2×rec-exp flip3-+ 1-exp flip-+ associate-/l/
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 181
Calls
4 calls:
30.0ms
(/ (+ x y) y)
18.0ms
(/ x (+ x y))
111.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
15.0ms
(/ 1 (/ (+ x y) y))

series208.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (+ x y) y)
40.0ms
(/ x (+ x y))
86.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
63.0ms
(/ 1 (/ (+ x y) y))

simplify63.0ms

Counts
193 → 193
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05271287
122031088
250021057
done50021057

prune252.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
115×*-un-lft-identity
110×add-sqr-sqrt
73×times-frac
58×sqrt-prod
42×associate-*r*
36×difference-of-squares
33×add-cube-cbrt
23×distribute-lft-out
18×distribute-lft-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
5×pow1 flip3-+ associate-*l* flip-+ add-log-exp
4×associate-/r* associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip--
Counts
3 → 146
Calls
3 calls:
10.0ms
(+ (sqrt x) (sqrt y))
32.0ms
(/ (- (sqrt x) (sqrt y)) (+ x y))
86.0ms
(* (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (+ x y)))

series356.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (sqrt x) (sqrt y))
89.0ms
(/ (- (sqrt x) (sqrt y)) (+ x y))
221.0ms
(* (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (+ x y)))

simplify64.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05131560
124261394
250011359
done50011359

prune227.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes41.0ms

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
075
175
done75

end0.0ms

sample304.0ms

Algorithm
intervals
Results
140.0ms8000×body80valid