Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms256×pre80true

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0915
12215
24715
38615
416615
529615
653215
793415
8338615
done500115

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x y) (+ x y))
0.0b
(+ (* x x) (* y y))
16.7b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
frac-times flip3-+ flip-+ associate-/l/
add-cube-cbrt
flip3-- flip--
pow1 associate-*l* add-log-exp
associate-*r/ associate-*r* associate-*l/
times-frac associate-/r*
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod
+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 73
Calls
3 calls:
16.0ms
(* (- x y) (+ x y))
2.0ms
(+ (* x x) (* y y))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (- x y) (+ x y))
27.0ms
(+ (* x x) (* y y))
62.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify119.0ms

Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
01271238
14171187