Details

Time bar (total: 670.0ms)

sample33.0ms

Algorithm
intervals
Results
7.0ms194×body80valid
6.0ms27×body2560valid
4.0ms256×pre80true
3.0ms16×body1280valid
2.0ms11×body640valid
1.0msbody320valid
0.0msbody160valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12717
23317
33717
43917
54017
done4017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 4.0 p) p) (* x x))
0.0b
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
0.4b
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
14.9b
(sqrt (+ (* (* 4.0 p) p) (* x x)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
21×add-sqr-sqrt
20×add-cube-cbrt
18×times-frac
15×sqrt-prod
add-log-exp
add-exp-log associate-/r* add-cbrt-cube
pow1
flip3-+ sqrt-div flip-+
associate-/l*
+-commutative sum-log associate-/r/
cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv distribute-lft-out
Counts
4 → 79
Calls
4 calls:
6.0ms
(+ (* (* 4.0 p) p) (* x x))
12.0ms
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
27.0ms
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
10.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* (* 4.0 p) p) (* x x))
61.0ms
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
80.0ms
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
57.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

simplify303.0ms

Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
01281657
12831514
28721404