Details

Time bar (total: 14.1s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify175.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1189
2479
31029
41509
51689
61819
71859
done1859

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
times-frac associate-/l*
cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/l/ distribute-lft-out-- difference-of-squares
pow1 flip3-- frac-2neg div-sub clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
47.0ms
(/ (- x y) (* (* x 2.0) y))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ (- x y) (* (* x 2.0) y))

simplify3.4s

Counts
33 → 33
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
082447
1230433
2894353
34809351
done5001351

prune62.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
*-un-lft-identity times-frac
difference-of-squares
add-log-exp
distribute-lft-out--
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- div-inv
Counts
1 → 19
Calls
1 calls:
65.0ms
(- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))

simplify3.8s

Counts
22 → 22
Iterations

Useful iterations: 3 (271.0ms)

IterNodesCost
060412
1144393
2362357
31178351
43855351
done5002351

prune62.0ms

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) (* x 2.0))
7.6b
(/ (/ (- x y) (* x 2.0)) y)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
34×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
cbrt-undiv div-exp
div-inv distribute-lft-out-- difference-of-squares
associate-/r*
div-sub associate-/l/
pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
flip3-- flip--
Counts
2 → 85
Calls
2 calls:
23.0ms
(/ (- x y) (* x 2.0))
28.0ms
(/ (/ (- x y) (* x 2.0)) y)

series477.0ms

Counts
2 → 6
Calls
2 calls:
404.0ms
(/ (- x y) (* x 2.0))
72.0ms
(/ (/ (- x y) (* x 2.0)) y)

simplify1.6s

Counts
91 → 91
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01511244
13731207
212311081
done50001079

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.1b
(/ (sqrt (- x y)) y)
0.1b
(/ (sqrt (- x y)) (* x 2.0))
5.9b
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
66×*-un-lft-identity times-frac
56×sqrt-prod
44×add-cube-cbrt
32×add-exp-log add-cbrt-cube
28×associate-*r*
16×associate-/l*
12×associate-*l*
11×distribute-lft-out-- difference-of-squares
10×cbrt-undiv div-exp
prod-exp cbrt-unprod
pow1
sqrt-div
associate-/r* div-inv associate-/l/ add-log-exp
flip3-- flip-- unswap-sqr
frac-2neg clear-num
frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 166
Calls
4 calls:
11.0ms
(sqrt (- x y))
18.0ms
(/ (sqrt (- x y)) y)
26.0ms
(/ (sqrt (- x y)) (* x 2.0))
88.0ms
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))

series454.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sqrt (- x y))
156.0ms
(/ (sqrt (- x y)) y)
125.0ms
(/ (sqrt (- x y)) (* x 2.0))
85.0ms
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))

simplify1.9s

Counts
178 → 178
Iterations

Useful iterations: 2 (571.0ms)

IterNodesCost
02402717
16112284
222542070
done50012070

prune608.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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
0911
11211
done1211

end0.0ms

sample736.0ms

Algorithm
intervals
Results
516.0ms8000×body80valid