Details

Time bar (total: 4.3s)

sample17.0ms

Algorithm
intervals
Results
8.0ms465×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
057
176
286
done86

prune3.0ms

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
(fma x x (* y y))

rewrite1.0ms

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

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma x x (* y y))

simplify2.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
018108
126105
26685
318585
464585
5359485
done500085

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot y x)
0.0b
(hypot y x)
0.0b
(* (hypot y x) (hypot y x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
hypot-udef
add-exp-log add-cbrt-cube
expm1-log1p-u swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
pow2 pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
3 → 49
Calls
3 calls:
0.0ms
(hypot y x)
0.0ms
(hypot y x)
3.0ms
(* (hypot y x) (hypot y x))

series161.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(hypot y x)
45.0ms
(hypot y x)
66.0ms
(* (hypot y x) (hypot y x))

simplify955.0ms

Counts
58 → 58
Iterations

Useful iterations: 3 (137.0ms)

IterNodesCost
044423
186367
2272315
3987289
done5001289

prune112.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
done46

end0.0ms

sample459.0ms

Algorithm
intervals
Results
247.0ms14336×body80valid