Details

Time bar (total: 5.0s)

sample33.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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 x y)

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 x y)

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(hypot x y)

simplify1.7s

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot x y)
0.0b
(sqrt (hypot x y))
0.0b
(sqrt (hypot x y))
0.5b
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×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
rem-sqrt-square
pow2 hypot-udef pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
0.0ms
(hypot x y)
1.0ms
(sqrt (hypot x y))
1.0ms
(sqrt (hypot x y))
24.0ms
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(hypot x y)
117.0ms
(sqrt (hypot x y))
115.0ms
(sqrt (hypot x y))
75.0ms
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.3s)

IterNodesCost
086978
1191639
2768569
done5000555

prune282.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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

sample1.1s

Algorithm
intervals
Results
770.0ms8000×body80valid