Details

Time bar (total: 658.0ms)

sample145.0ms

Algorithm
intervals
Results
17.0ms28×body2560valid
16.0ms189×body80valid
4.0ms11×body1280valid
4.0msbody5120valid
4.0msbody640valid
2.0msbody320valid
1.0msbody160valid

simplify300.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01215
11715
22415
33015
43515
done3515

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.0b
(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
1.3b
(- (sqrt (+ (* re re) (* im im))) re)
27.6b
(sqrt (+ (* re re) (* im im)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
pow1 add-log-exp
*-un-lft-identity
add-cube-cbrt sqrt-prod
add-exp-log sqrt-div add-cbrt-cube
sqrt-pow1
flip3-- flip3-+ pow1/2 associate-*r/ flip-- flip-+ difference-of-squares
+-commutative sub-neg rem-sqrt-square diff-log pow-prod-down sum-log distribute-lft-out--
Counts
4 → 54
Calls
4 calls:
10.0ms
(+ (* re re) (* im im))
39.0ms
(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
93.0ms
(- (sqrt (+ (* re re) (* im im))) re)
16.0ms
(sqrt (+ (* re re) (* im im)))

series4.0ms