Details

Time bar (total: 842.0ms)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 29.8b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

27.8b
(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
26×hypot-def
14×*-un-lft-identity
12×swap-sqr
10×*-commutative unswap-sqr
sqrt-prod
distribute-lft-out
associate-*l*
pow1 add-cube-cbrt sqrt-div
add-exp-log +-commutative expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
Counts
1 → 48
Calls
1 calls:
17.0ms
(sqrt (+ (* re re) (* im im)))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(sqrt (+ (* re re) (* im im)))

simplify59.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0101107
1262102
2655102
31705102
45001102

prune78.0ms

Filtered
51 candidates to 28 candidates (54.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New50151
Fresh000
Picked101
Done000
Total51152

Merged error: 0b

Counts
52 → 1

localize6.0ms

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)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(hypot re im)

simplify94.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02227
12524
22924
33424
45324
510724
651324
7168724
8500124

prune37.0ms

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
093
1113
2113

end0.0ms

sample421.0ms

Algorithm
intervals
Results
274.0ms8000×body80valid