Details

Time bar (total: 4.1s)

sample33.0ms

Algorithm
intervals
Results
20.0ms313×body80valid

simplify479.0ms

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

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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:
26.0ms
(+ (* x y) (* (- x 1.0) z))
43.0ms
(* (- x 1.0) z)

series82.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* x y) (* (- x 1.0) z))
44.0ms
(* (- x 1.0) z)

simplify2.8s

Counts
39 → 39
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
071405
1187373
2675345
32963345
done5000345

prune130.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
0.0b
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
2.7b
(* (- (pow x 3) (pow 1.0 3)) z)
13.5b
(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite381.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×associate-*l*
18×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube add-log-exp
add-cube-cbrt sqr-pow
pow1
distribute-lft-out--
associate-*l/ sum-log
flip3-+ times-frac associate-*r* associate-/r* flip-+
cbrt-undiv +-commutative flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/
difference-cubes associate-+r+ frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 91
Calls
4 calls:
76.0ms
(+ (* x y) (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
33.0ms
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
129.0ms
(* (- (pow x 3) (pow 1.0 3)) z)
135.0ms
(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series2.0ms