Details

Time bar (total: 7.8s)

sample28.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify243.0ms

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: 15.3b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite59.0ms

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 flip3-- frac-2neg div-sub clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
58.0ms
(/ (- x y) (* (* x 2.0) y))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (- x y) (* (* x 2.0) y))

simplify3.8s

Counts
33 → 33
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
082447
1230433
2894353
34809351
done5001351

prune60.0ms

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))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×*-un-lft-identity
10×times-frac
5×distribute-lft-out--
4×difference-of-squares
3×add-cube-cbrt add-log-exp
2×div-inv
1×pow1 add-exp-log sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip--
Counts
1 → 22
Calls
1 calls:
50.0ms
(- (/ 0.5 y) (/ 0.5 x))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(- (/ 0.5 y) (/ 0.5 x))

simplify2.9s

Counts
25 → 25
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
061315
1134304
2281282
3814282
43033278
done5001278

prune100.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

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))

rewrite174.0ms

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×associate-/r* 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 → 166
Calls
4 calls:
14.0ms
(sqrt (- x y))
22.0ms
(/ (sqrt (- x y)) (* x 2.0))
17.0ms
(/ (sqrt (- x y)) y)
108.0ms
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))

series184.0ms

Calls
1 calls:
65.0ms
(* (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y))