Details

Time bar (total: 17.6s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2289
3429
4449
done449

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize7.0ms

Local error

Found 1 expressions with local error:

13.5b
(/ (+ x y) (* (* x 2.0) y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×pow1 frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
50.0ms
(/ (+ x y) (* (* x 2.0) y))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.5s

Counts
30 → 30
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
073406
1213392
2859314
34528314
done5000314

prune58.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
6×times-frac
5×distribute-lft-out
3×add-sqr-sqrt add-cube-cbrt add-log-exp
2×div-inv
1×pow1 add-exp-log +-commutative flip3-+ frac-add sum-log add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
49.0ms
(+ (/ 0.5 x) (/ 0.5 y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(+ (/ 0.5 x) (/ 0.5 y))

simplify3.6s

Counts
20 → 20
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
046227
1117216
2279194
3831194
43589190
done5000190

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y))
0.4b
(/ (sqrt 0.5) y)
0.4b
(/ (sqrt 0.5) x)
0.5b
(* (/ (sqrt 0.5) 1) (+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y)))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
94×*-un-lft-identity
90×times-frac
76×add-sqr-sqrt
56×add-cube-cbrt
51×sqrt-prod
22×associate-*l*
20×distribute-lft-out
15×add-exp-log
13×associate-*r* add-cbrt-cube
12×associate-/l*
7×div-inv
6×pow1 associate-/r* add-log-exp
5×unswap-sqr
4×div-exp
3×cbrt-undiv frac-times flip3-+ associate-*r/ frac-add prod-exp flip-+
2×frac-2neg clear-num cbrt-unprod
1×+-commutative distribute-rgt-in distribute-lft-in 1-exp pow-prod-down associate-*l/ sum-log *-commutative
Counts
4 → 163
Calls
4 calls:
66.0ms
(+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y))
8.0ms
(/ (sqrt 0.5) y)
7.0ms
(/ (sqrt 0.5) x)
208.0ms
(* (/ (sqrt 0.5) 1) (+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y))
88.0ms
(/ (sqrt 0.5) y)
77.0ms
(/ (sqrt 0.5) x)
147.0ms
(* (/ (sqrt 0.5) 1) (+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y)))

simplify3.6s

Counts
175 → 175
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02162236
15131755
213341653
342371642
done50011636

prune451.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* x 2.0))
7.6b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out
4×associate-/r*
3×associate-/l/
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×flip3-+ flip-+
Counts
2 → 77
Calls
2 calls:
43.0ms
(/ (+ x y) (* x 2.0))
38.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series120.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (+ x y) (* x 2.0))
77.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify4.2s

Counts
83 → 83
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
01341127
13311092
21050970
34525970
done5000970

prune211.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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
067
177
done77

end0.0ms

sample733.0ms

Algorithm
intervals
Results
496.0ms8000×body80valid