Details

Time bar (total: 8.5s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify22.0ms

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: 15.4b

localize5.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ (+ x y) (* (* x 2.0) y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
*-un-lft-identity
times-frac associate-/l*
cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/l/ distribute-lft-out
pow1 frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
32.0ms
(/ (+ x y) (* (* x 2.0) y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify2.3s

Counts
30 → 30
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
073406
1213392
2859314
34528314
done5000314

prune49.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
times-frac
distribute-lft-out
add-sqr-sqrt add-cube-cbrt add-log-exp
div-inv
pow1 add-exp-log +-commutative flip3-+ frac-add sum-log add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
24.0ms
(+ (/ 0.5 x) (/ 0.5 y))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(+ (/ 0.5 x) (/ 0.5 y))

simplify2.4s

Counts
20 → 20
Iterations

Useful iterations: 4 (920.0ms)

IterNodesCost
046227
1117216
2279194
3831194
43589190
done5000190

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) y)
5.4b
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
35×*-un-lft-identity
28×times-frac
26×add-sqr-sqrt
25×add-cbrt-cube
21×add-cube-cbrt
20×prod-exp
16×div-exp associate-*r*
cbrt-undiv cbrt-unprod
associate-*l* distribute-lft-out
pow1 rec-exp 1-exp associate-/l*
associate-/r* div-inv
associate-/l/ add-log-exp unswap-sqr
frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 90
Calls
2 calls:
17.0ms
(/ (+ x y) y)
52.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (+ x y) y)
53.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify1.4s

Counts
96 → 96
Iterations

Useful iterations: 2 (287.0ms)

IterNodesCost
01501268
13971110
21550926
done5001926

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x y))
0.1b
(/ 1 (/ y (+ x y)))
5.4b
(* (/ 1 (* x 2.0)) (/ 1 (/ y (+ x y))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
184×add-exp-log
160×*-un-lft-identity
122×add-sqr-sqrt
108×add-cube-cbrt
85×div-exp
70×prod-exp
59×associate-*r*
46×add-cbrt-cube
30×rec-exp 1-exp
25×distribute-lft-out
22×associate-/r*
19×cbrt-undiv
18×associate-/r/
12×cbrt-unprod
11×pow1 div-inv
flip3-+ flip-+
associate-*l*
associate-/l*
pow-flip pow-prod-down unswap-sqr
inv-pow add-log-exp
frac-2neg clear-num
frac-times associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
3 → 274
Calls
3 calls:
10.0ms
(/ y (+ x y))
18.0ms
(/ 1 (/ y (+ x y)))
76.0ms
(* (/ 1 (* x 2.0)) (/ 1 (/ y (+ x y))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ x y))
22.0ms
(/ 1 (/ y (+ x y)))
55.0ms
(* (/ 1 (* x 2.0)) (/ 1 (/ y (+ x y))))

simplify963.0ms

Counts
283 → 283
Iterations

Useful iterations: 2 (448.0ms)

IterNodesCost
03334386
18453492
222642899
done50002899

prune328.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

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

sample338.0ms

Algorithm
intervals
Results
172.0ms8002×body80valid