Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
068
193
2113
done113

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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)

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(hypot re im)

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01760
12258
22552
33052
43852
57252
614152
732452
8104852
done500152

prune46.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (hypot re im))
0.0b
(hypot re im)
0.0b
(hypot re im)
0.5b
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
sqrt-pow1 pow1/2
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube
pow-prod-up
expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr
hypot-udef
pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
2.0ms
(sqrt (hypot re im))
0.0ms
(hypot re im)
0.0ms
(hypot re im)
14.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(sqrt (hypot re im))
64.0ms
(hypot re im)
77.0ms
(hypot re im)
53.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify1.4s

Counts
98 → 98
Iterations

Useful iterations: done (1.4s)

IterNodesCost
086890
1191569
2776505
done5000497

prune193.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
done33

end0.0ms

sample634.0ms

Algorithm
intervals
Results
378.0ms8000×body80valid