Details

Time bar (total: 218.0ms)

sample76.0ms

Algorithm
intervals
Results
23.0ms24×body2560valid
15.0ms187×body80valid
9.0ms22×body1280valid
7.0ms256×pre80true
3.0ms10×body640valid
2.0ms10×body320valid
1.0msbody160valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01417
12816
24016
34716
44916
55116
65216
done5216

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* 4.0 p) p (* x x))
0.0b
(/ x (sqrt (fma (* 4.0 p) p (* x x))))
1.4b
(+ (/ x (sqrt (fma (* 4.0 p) p (* x x)))) 1.0)
12.8b
(sqrt (fma (* 4.0 p) p (* x x)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×*-un-lft-identity
34×add-sqr-sqrt
33×add-cube-cbrt
24×sqrt-prod
22×fma-def
add-exp-log associate-/r* add-cbrt-cube add-log-exp
pow1
expm1-log1p-u log1p-expm1-u
associate-/l*
div-inv
cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp clear-num sum-log flip-+ fma-udef distribute-lft-out
Counts
4 → 102
Calls
4 calls:
1.0ms
(fma (* 4.0 p) p (* x x))
12.0ms
(/ x (sqrt (fma (* 4.0 p) p (* x x))))
42.0ms
(+ (/ x (sqrt (fma (* 4.0 p) p (* x x)))) 1.0)
2.0ms
(sqrt (fma (* 4.0 p) p (* x x)))

series1.0ms