Details

Time bar (total: 817.0ms)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
31.0b
(sqrt (+ (* re re) (* im im)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
2 → 32
Calls
2 calls:
2.0ms
(+ (* re re) (* im im))
3.0ms
(sqrt (+ (* re re) (* im im)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* re re) (* im im))
34.0ms
(sqrt (+ (* re re) (* im im)))

simplify52.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0136177
1589162
21761158
35002156

prune92.0ms

Filtered
38 candidates to 32 candidates (84.2%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

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:
0.0ms
(hypot re im)

series47.0ms

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

simplify86.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02227
12524
22924
33424
45324
510724
651324
7168724
8500124

prune36.0ms

Filtered
13 candidates to 13 candidates (100.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
1113
2113

end0.0ms

sample396.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid