Details

Time bar (total: 539.0ms)

sample39.0ms

Algorithm
intervals
Results
8.0ms16×body1280valid
7.0ms194×body80valid
6.0ms27×body2560valid
4.0ms256×pre80true
1.0ms11×body640valid
1.0msbody320valid
0.0msbody160valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01417
12816
23916
34616
44816
55016
65116
done5116

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

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

rewrite24.0ms

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:
0.0ms
(fma (* 4.0 p) p (* x x))
3.0ms
(/ x (sqrt (fma (* 4.0 p) p (* x x))))
17.0ms
(+ (/ x (sqrt (fma (* 4.0 p) p (* x x)))) 1.0)
1.0ms
(sqrt (fma (* 4.0 p) p (* x x)))

series259.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(fma (* 4.0 p) p (* x x))
60.0ms
(/ x (sqrt (fma (* 4.0 p) p (* x x))))
84.0ms
(+ (/ x (sqrt (fma (* 4.0 p) p (* x x)))) 1.0)
70.0ms
(sqrt (fma (* 4.0 p) p (* x x)))

simplify164.0ms

Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
01171452
12211334
25361248