Details

Time bar (total: 257.0ms)

sample65.0ms

Algorithm
intervals
Results
19.0ms23×body2560valid
13.0ms194×body80valid
7.0ms20×body1280valid
6.0ms256×pre80true
3.0ms10×body640valid
1.0msbody5120valid
1.0msbody320valid
0.0msbody160valid

simplify70.0ms

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: 12.7b

localize28.0ms

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

rewrite76.0ms

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))
13.0ms
(/ x (sqrt (fma (* 4.0 p) p (* x x))))
52.0ms
(+ (/ x (sqrt (fma (* 4.0 p) p (* x x)))) 1.0)
4.0ms
(sqrt (fma (* 4.0 p) p (* x x)))

series1.0ms