Details

Time bar (total: 3.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms239×body80valid
1.0msbody1280valid
1.0msbody640valid
0.0msbody320valid

simplify293.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0811
12011
26111
31459
42249
52299
done2299

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (+ z (* 2 (+ x y))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
15.0ms
(+ x (+ z (* 2 (+ x y))))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(+ x (+ z (* 2 (+ x y))))

simplify1.2s

Counts
17 → 17
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
038232
1111221
2385203
31904203
done5000203

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 3 x) (+ z (* 2 y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
28.0ms
(+ (* 3 x) (+ z (* 2 y)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ (* 3 x) (+ z (* 2 y)))

simplify1.4s

Counts
16 → 16
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
034225
1113212
2426194
31766194
done5000194

prune78.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))
0.0b
(- x (+ z (* 2 (+ x y))))
15.1b
(- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y)))))
35.6b
(/ (- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))) (- x (+ z (* 2 (+ x y)))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
31×*-un-lft-identity
20×times-frac
19×add-cube-cbrt
13×difference-of-squares
11×pow1 add-log-exp
add-exp-log add-cbrt-cube
flip3-+ flip-+ distribute-lft-out--
associate-/r*
frac-times flip3-- flip-- associate-/l*
diff-log swap-sqr associate-*r* associate-*l* associate--r+
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ associate-/r/ associate-/l/
cbrt-undiv pow2 frac-2neg pow-plus div-sub div-exp pow-prod-down prod-exp clear-num sum-log pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv unswap-sqr
Counts
4 → 112
Calls
4 calls:
30.0ms
(* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))
23.0ms
(- x (+ z (* 2 (+ x y))))
8.0ms
(- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y)))))
76.0ms
(/ (- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))) (- x (+ z (* 2 (+ x y)))))

series0.0ms