Details

Time bar (total: 3.6s)

sample44.0ms

Algorithm
intervals
Results
22.0ms339×body80valid

simplify353.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2209
3349
4499
5569
6629
7799
81069
91309
101649
111929
122059
132149
done2149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
associate-*r*
associate-*l/
+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
32.0ms
(* (- x 1.0) z)
10.0ms
(+ (* x y) (* (- x 1.0) z))

series104.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (- x 1.0) z)
47.0ms
(+ (* x y) (* (- x 1.0) z))

simplify2.7s

Counts
39 → 39
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
071405
1187373
2675345
32946345
done5000345

prune114.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x y) (* x y))
1.0b
(+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))))
3.5b
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
41.1b
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y)))))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
24×*-un-lft-identity
18×add-exp-log add-cbrt-cube
17×pow-prod-down
15×times-frac
14×add-sqr-sqrt add-cube-cbrt
prod-exp cbrt-unprod add-log-exp
sum-cubes distribute-lft-out associate-/l*
associate-+r+ flip3-+ pow-sqr pow-prod-up flip-+
associate-/r*
+-commutative distribute-rgt-in sub-neg distribute-lft-in pow-plus sum-log associate-/r/ associate-/l/
cbrt-undiv pow2 frac-2neg swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
42.0ms
(* (* x y) (* x y))
43.0ms
(+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))))
15.0ms
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
158.0ms
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* x y) (* x y)) (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y)))))

series1.0ms