Details

Time bar (total: 8.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify146.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1189
2479
31029
41509
51689
61819
71859
done1859

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize6.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (- x y) (* (* x 2.0) y))

rewrite32.0ms

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 expm1-log1p-u flip3-- frac-2neg div-sub clear-num associate-/r* flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
31.0ms
(/ (- x y) (* (* x 2.0) y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (- x y) (* (* x 2.0) y))

simplify2.8s

Counts
35 → 35
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
084467
1235452
2903372
34863370
done5000370

prune59.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
204×add-sqr-sqrt
200×*-un-lft-identity
192×add-cube-cbrt
169×prod-diff
29×div-inv
13×fma-neg
distribute-lft-out--
difference-of-squares
add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 206
Calls
1 calls:
35.0ms
(- (/ 0.5 y) (/ 0.5 x))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(- (/ 0.5 y) (/ 0.5 x))

simplify1.5s

Counts
209 → 209
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03147897
16896858
214934834
done50003300

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (* x 2.0))
7.1b
(/ (/ (- x y) (* x 2.0)) y)

rewrite45.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
flip3-- flip--
Counts
2 → 89
Calls
2 calls:
19.0ms
(/ (- x y) (* x 2.0))
23.0ms
(/ (/ (- x y) (* x 2.0)) y)

series101.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (- x y) (* x 2.0))
60.0ms
(/ (/ (- x y) (* x 2.0)) y)

simplify1.1s

Counts
95 → 95
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01551280
13801242
212501116
done50001114

prune160.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (/ (- x y) (* x 2.0))) y)
0.3b
(* (sqrt (/ (- x y) (* x 2.0))) (/ (sqrt (/ (- x y) (* x 2.0))) y))
3.6b
(sqrt (/ (- x y) (* x 2.0)))
3.6b
(sqrt (/ (- x y) (* x 2.0)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
96×add-sqr-sqrt
95×sqrt-prod
78×*-un-lft-identity
58×add-cube-cbrt
40×associate-*r*
12×associate-*l* div-inv associate-/l*
11×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
pow1
unswap-sqr
sqrt-div
expm1-log1p-u log1p-expm1-u add-log-exp
associate-/r*
cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 186
Calls
4 calls:
23.0ms
(/ (sqrt (/ (- x y) (* x 2.0))) y)
82.0ms
(* (sqrt (/ (- x y) (* x 2.0))) (/ (sqrt (/ (- x y) (* x 2.0))) y))
12.0ms
(sqrt (/ (- x y) (* x 2.0)))
15.0ms
(sqrt (/ (- x y) (* x 2.0)))

series611.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(/ (sqrt (/ (- x y) (* x 2.0))) y)
155.0ms
(* (sqrt (/ (- x y) (* x 2.0))) (/ (sqrt (/ (- x y) (* x 2.0))) y))
162.0ms
(sqrt (/ (- x y) (* x 2.0)))
163.0ms
(sqrt (/ (- x y) (* x 2.0)))

simplify1.1s

Counts
198 → 198
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02553646
15513216
216652995
done50012925

prune432.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

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
done67

end0.0ms

sample362.0ms

Algorithm
intervals
Results
187.0ms8001×body80valid