Details

Time bar (total: 2.7s)

sample27.0ms

Algorithm
intervals
Results
11.0ms464×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
167
done67

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (* y y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x x) (* y y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ (* x x) (* y y))

simplify701.0ms

Counts
14 → 14
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
030166
1101161
2382131
3880131
42276131
done5000131

prune19.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0b

Counts
15 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.7b
(sqrt (+ (* x x) (* y y)))
4.7b
(sqrt (+ (* x x) (* y y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
flip3-+ flip-+
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x x) (* y y))
12.0ms
(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
4.0ms
(sqrt (+ (* x x) (* y y)))
4.0ms
(sqrt (+ (* x x) (* y y)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x x) (* y y))
6.0ms
(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
6.0ms
(sqrt (+ (* x x) (* y y)))
6.0ms
(sqrt (+ (* x x) (* y y)))

simplify866.0ms

Counts
110 → 110
Iterations

Useful iterations: 3 (192.0ms)

IterNodesCost
0921982
11961403
26771177
322191138
done50011138

prune86.0ms

Filtered
65 candidates to 110 candidates (-69.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done011
Total1102112

Merged error: 0b

Counts
112 → 2

regimes163.0ms

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
0717
1817
done817

end0.0ms

sample775.0ms

Algorithm
intervals
Results
364.0ms14506×body80valid

Profiling

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