Details

Time bar (total: 9.6s)

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify248.0ms

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

localize7.0ms

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 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))

series88.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (- x y) (* (* x 2.0) y))

simplify3.7s

Counts
33 → 33
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
082447
1230433
2894353
34809351
done5001351

prune94.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

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×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 → 98
Calls
2 calls:
16.0ms
(/ (- x y) y)
63.0ms
(* (/ 1 (* x 2.0)) (/ (- x y) y))

series102.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- x y) y)
72.0ms
(* (/ 1 (* x 2.0)) (/ (- x y) y))

simplify1.5s

Counts
104 → 104
Iterations

Useful iterations: 2 (421.0ms)

IterNodesCost
01641374
14261210
216991019
done50001019

prune270.0ms

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))

rewrite54.0ms

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:
52.0ms
(- (/ 0.5 y) (/ 0.5 x))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(- (/ 0.5 y) (/ 0.5 x))

simplify2.8s

Counts
25 → 25
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
061315
1134304
2281282
3814282
43033278
done5001278

prune83.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))))

rewrite171.0ms

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×inv-pow add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
3 → 299
Calls
3 calls:
13.0ms
(/ y (- x y))
18.0ms
(/ 1 (/ y (- x y)))
107.0ms
(* (/ 1 (* x 2.0)) (/ 1 (/ y (- x y))))

series119.0ms

Calls
2 calls:
31.0ms
(/ 1 (/ y (- x y)))
85.0ms
(* (/ 1 (* x 2.0)) (/ 1 (/ y (- x y))))