Details

Time bar (total: 4.5s)

sample17.0ms

Algorithm
intervals
Results
8.0ms452×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
167
done67

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:
3.0ms
(+ (* x x) (* y y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(+ (* x x) (* y y))

simplify2.6s

Counts
14 → 14
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
030166
1101161
2374131
3742131
41657131
54545131
done5000131

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(+ (* x x) (* y y))
5.9b
(sqrt (+ (* x x) (* y y)))
5.9b
(sqrt (+ (* x x) (* y y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 52
Calls
4 calls:
2.0ms
(+ (* x x) (* y y))
2.0ms
(+ (* x x) (* y y))
3.0ms
(sqrt (+ (* x x) (* y y)))
3.0ms
(sqrt (+ (* x x) (* y y)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x x) (* y y))
26.0ms
(+ (* x x) (* y y))
37.0ms
(sqrt (+ (* x x) (* y y)))
35.0ms
(sqrt (+ (* x x) (* y y)))

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
048758
1125694
2438590
31621590
done5000590

prune146.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
1817
done817

end0.0ms

sample469.0ms

Algorithm
intervals
Results
260.0ms14328×body80valid