Details

Time bar (total: 512.0ms)

sample24.0ms

Algorithm
intervals
Results
6.0ms192×body80valid
3.0ms18×body2560valid
3.0ms17×body1280valid
2.0ms13×body640valid
1.0msbody5120valid
1.0msbody320valid
0.0msbody160valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01215
12410
23010
33210
done3210

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (* (+ re (hypot re im)) 2.0))
0.0b
(hypot re im)
0.6b
(+ re (hypot re im))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
pow1 *-un-lft-identity
add-log-exp
add-sqr-sqrt add-cube-cbrt
add-exp-log expm1-log1p-u fma-def add-cbrt-cube log1p-expm1-u
sqrt-pow1 flip3-+ sqrt-div associate-*l/ flip-+
+-commutative hypot-udef pow1/2 pow-prod-down sum-log sqrt-prod distribute-lft-out
Counts
3 → 42
Calls
3 calls:
3.0ms
(sqrt (* (+ re (hypot re im)) 2.0))
0.0ms
(hypot re im)
3.0ms
(+ re (hypot re im))

series303.0ms

Counts
3 → 9
Calls
3 calls:
195.0ms
(sqrt (* (+ re (hypot re im)) 2.0))
46.0ms
(hypot re im)
62.0ms
(+ re (hypot re im))

simplify147.0ms

Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
086414
1187377
2488354