Details

Time bar (total: 9.6s)

sample39.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify250.0ms

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: 15.5b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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:
47.0ms
(/ (- x y) (* (* x 2.0) y))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- x y) (* (* x 2.0) y))

simplify3.8s

Counts
35 → 35
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
084467
1235452
2903372
34863370
done5000370

prune125.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
7.9b
(* (/ 1 (* x 2.0)) (/ (- x y) y))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
42×add-sqr-sqrt
37×*-un-lft-identity
34×times-frac
25×add-cbrt-cube
23×add-cube-cbrt
20×prod-exp
19×associate-*r*
16×div-exp
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 rec-exp 1-exp
3×associate-/r* div-inv
2×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp unswap-sqr
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
36.0ms
(/ (- x y) y)
75.0ms
(* (/ 1 (* x 2.0)) (/ (- x y) y))

series104.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- x y) y)
77.0ms
(* (/ 1 (* x 2.0)) (/ (- x y) y))

simplify1.7s

Counts
108 → 108
Iterations

Useful iterations: 2 (487.0ms)

IterNodesCost
01681410
14331241
217211050
done50001050

prune244.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite66.0ms

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:
38.0ms
(- (/ 0.5 y) (/ 0.5 x))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(- (/ 0.5 y) (/ 0.5 x))

simplify2.3s

Counts
209 → 209
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03147897
16896858
214934834
done50003300

prune214.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- x y))
0.1b
(/ 1 (/ y (- x y)))
7.9b
(* (/ 1 (* x 2.0)) (/ 1 (/ y (- x y))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
255×times-frac
186×add-sqr-sqrt
184×add-exp-log
174×*-un-lft-identity
122×add-cube-cbrt
85×div-exp
70×prod-exp
68×associate-*r*
46×add-cbrt-cube
30×rec-exp 1-exp
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
19×cbrt-undiv
18×associate-/r/
12×cbrt-unprod
11×pow1 div-inv
8×flip3-- flip--
7×associate-*l*
6×associate-/l*
5×pow-flip pow-prod-down unswap-sqr
3×expm1-log1p-u log1p-expm1-u inv-pow add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
3 → 305
Calls
3 calls:
12.0ms
(/ y (- x y))
25.0ms
(/ 1 (/ y (- x y)))
127.0ms
(* (/ 1 (* x 2.0)) (/ 1 (/ y (- x y))))

series152.0ms

Calls
2 calls:
45.0ms
(/ 1 (/ y (- x y)))
104.0ms
(* (/ 1 (* x 2.0)) (/ 1 (/ y (- x y))))