Details

Time bar (total: 12.1s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
068
193
2113
done113

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot x y)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
1×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 x y)

series102.0ms

Counts
1 → 3
Calls
1 calls:
102.0ms
(hypot x y)

simplify2.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01760
12258
22552
33052
43652
54652
66752
714652
843152
9184152
done500152

prune43.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×pow1 sqrt-prod
11×add-cube-cbrt *-un-lft-identity
8×sqrt-pow1 pow1/2 swap-sqr
6×associate-*r* associate-*l*
5×add-exp-log pow-prod-up add-cbrt-cube
4×unswap-sqr
3×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
2×hypot-udef
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 71
Calls
3 calls:
1.0ms
(hypot x y)
1.0ms
(hypot x y)
33.0ms
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

series259.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(hypot x y)
91.0ms
(hypot x y)
83.0ms
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

simplify6.3s

Counts
80 → 80
Iterations

Useful iterations: 5 (3.2s)

IterNodesCost
063742
198435
2212389
3404374
4846360
54772356
done5000356

prune214.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (hypot x y)))
0.1b
(sqrt (sqrt (hypot x y)))
0.2b
(* (sqrt (sqrt (hypot x y))) (pow (sqrt (sqrt (hypot x y))) 3))
0.7b
(pow (sqrt (sqrt (hypot x y))) 3)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*r* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
9×associate-*l*
7×add-cbrt-cube
6×pow1/2
5×pow-pow sqr-pow
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 156
Calls
4 calls:
3.0ms
(sqrt (sqrt (hypot x y)))
3.0ms
(sqrt (sqrt (hypot x y)))
38.0ms
(* (sqrt (sqrt (hypot x y))) (pow (sqrt (sqrt (hypot x y))) 3))
6.0ms
(pow (sqrt (sqrt (hypot x y))) 3)

series557.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(sqrt (sqrt (hypot x y)))
156.0ms
(sqrt (sqrt (hypot x y)))
64.0ms
(* (sqrt (sqrt (hypot x y))) (pow (sqrt (sqrt (hypot x y))) 3))
189.0ms
(pow (sqrt (sqrt (hypot x y))) 3)

simplify1.3s

Counts
168 → 168
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01322357
12951990
29611429
done50011350

prune441.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

sample614.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid