Details

Time bar (total: 8.0s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify207.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1189
2479
31029
41509
51689
61819
71859
done1859

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize7.0ms

Local error

Found 1 expressions with local error:

14.9b
(/ (- x y) (* (* x 2.0) y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×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:
32.0ms
(/ (- x y) (* (* x 2.0) y))

series102.0ms

Counts
1 → 3
Calls
1 calls:
102.0ms
(/ (- x y) (* (* x 2.0) y))

simplify4.5s

Counts
35 → 35
Iterations

Useful iterations: 3 (2.8s)

IterNodesCost
084467
1235452
2903372
34863370
done5000370

prune74.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite67.0ms

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
5×distribute-lft-out--
4×difference-of-squares
3×add-log-exp
1×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:
34.0ms
(- (/ 0.5 y) (/ 0.5 x))

series64.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(- (/ 0.5 y) (/ 0.5 x))

simplify2.4s

Counts
209 → 209
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03147897
16896858
214934834
done50003300

prune211.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.1b
(/ (sqrt (- x y)) (* x 2.0))
0.1b
(/ (sqrt (- x y)) y)
3.4b
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))

rewrite205.0ms

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
9×prod-exp cbrt-unprod
7×pow1
6×sqrt-div
4×expm1-log1p-u associate-/r* log1p-expm1-u div-inv associate-/l/ add-log-exp
3×flip3-- flip-- unswap-sqr
2×frac-2neg clear-num
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 174
Calls
4 calls:
10.0ms
(sqrt (- x y))
30.0ms
(/ (sqrt (- x y)) (* x 2.0))
32.0ms
(/ (sqrt (- x y)) y)
126.0ms
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))

series202.0ms

Calls
1 calls:
79.0ms
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))