Details

Time bar (total: 854.0ms)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2125

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.6b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

28.5b
(sqrt (+ (* re re) (* im im)))

rewrite4.0ms

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:
4.0ms
(sqrt (+ (* re re) (* im im)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(sqrt (+ (* re re) (* im im)))

simplify52.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
098103
125498
261998
3157398
4500198

prune44.0ms

Filtered
21 candidates to 19 candidates (90.5%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New20121
Fresh000
Picked101
Done000
Total21122

Merged error: 0b

Counts
22 → 1

localize8.0ms

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:
1.0ms
(hypot re im)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(hypot re im)

simplify92.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02227
12524
22924
33424
45324
510724
651324
7168724
8500124

prune30.0ms

Filtered
13 candidates to 13 candidates (100.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh000
Picked011
Done000
Total13114

Merged error: 0b

Counts
14 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042

end0.0ms

sample498.0ms

Algorithm
intervals
Results
358.0ms8000×body80valid