Details

Time bar (total: 379.0ms)

sample51.0ms

Algorithm
intervals
Results
10.0ms194×body80valid
8.0ms23×body2560valid
5.0ms256×pre80true
5.0ms20×body1280valid
2.0ms10×body640valid
1.0msbody5120valid
0.0msbody320valid
0.0msbody160valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
12717
23417
33817
44017
54117
done4117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize30.0ms

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))))
0.9b
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
16.5b
(sqrt (+ (* (* 4.0 p) p) (* x x)))

rewrite262.0ms

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:
37.0ms
(+ (* (* 4.0 p) p) (* x x))
61.0ms
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
120.0ms
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
39.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

series1.0ms