Details

Time bar (total: 717.0ms)

sample33.0ms

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

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01417
12816
23916
34616
44816
55016
65116
done5116

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize11.0ms

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
23×*-un-lft-identity
22×add-sqr-sqrt
21×add-cube-cbrt
18×times-frac
15×sqrt-prod
add-log-exp
add-exp-log associate-/r* add-cbrt-cube
pow1
expm1-log1p-u fma-def flip3-+ sqrt-div flip-+ log1p-expm1-u
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 → 91
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)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* (* 4.0 p) p) (* x x))
59.0ms
(/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
79.0ms
(+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
56.0ms
(sqrt (+ (* (* 4.0 p) p) (* x x)))

simplify345.0ms

Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
01361755
13001497
29721395