Details

Time bar (total: 780.0ms)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2125
done125

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize7.0ms

Local error

Found 1 expressions with local error:

29.6b
(sqrt (+ (* re re) (* im im)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u add-log-exp
Counts
1 → 18
Calls
1 calls:
8.0ms
(sqrt (+ (* re re) (* im im)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(sqrt (+ (* re re) (* im im)))

simplify51.0ms

Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
098103
125498
261998
3157398
4500198
done500198

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot re im)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt hypot-udef *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(hypot re im)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(hypot re im)

simplify92.0ms

Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02227
12524
22924
33424
45324
510724
651324
7168724
8500124
done500124

prune33.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042
142
done42

end0.0ms

sample422.0ms

Algorithm
intervals
Results
244.0ms8000×body80valid