Details

Time bar (total: 736.0ms)

sample63.0ms

Algorithm
intervals
Results
16.0ms195×body80valid
11.0ms21×body2560valid
8.0ms19×body1280valid
5.0msbody5120valid
2.0msbody640valid
1.0msbody320valid
0.0msbody160valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012324
122324
224324
done24324

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.6b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
0.8b
(+ (sqrt (+ (* re re) (* im im))) re)
31.7b
(sqrt (+ (* re re) (* im im)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-log-exp
*-un-lft-identity
add-sqr-sqrt
add-cube-cbrt
flip3-+ add-cbrt-cube sqrt-div add-exp-log sqrt-prod flip-+
sqrt-pow1
+-commutative sum-log pow1/2 associate-*r/
rem-sqrt-square pow-prod-down distribute-lft-out
Counts
4 → 51
Calls
4 calls:
12.0ms
(+ (* re re) (* im im))
28.0ms
(sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
38.0ms
(+ (sqrt (+ (* re re) (* im im))) re)
29.0ms
(sqrt (+ (* re re) (* im im)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* re re) (* im im))
222.0ms
(sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
84.0ms
(+ (sqrt (+ (* re re) (* im im))) re)
68.0ms
(sqrt (+ (* re re) (* im im)))

simplify77.0ms

Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
010818075