Details

Time bar (total: 7.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms86×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
166
done66

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
20.3b
(sqrt (+ (* x x) y))

rewrite8.0ms

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
2 → 26
Calls
2 calls:
3.0ms
(+ (* x x) y)
4.0ms
(sqrt (+ (* x x) y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (* x x) y)
40.0ms
(sqrt (+ (* x x) y))

simplify3.9s

Counts
32 → 32
Iterations

Useful iterations: 4 (854.0ms)

IterNodesCost
059319
1141294
2450258
31310255
44666254
done5000254

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (* 1/2 (/ y x)))

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:
2.0ms
(+ x (* 1/2 (/ y x)))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(+ x (* 1/2 (/ y x)))

simplify1.3s

Counts
14 → 14
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
027166
186157
2277143
3963143
43127143
done5000143

prune22.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* (/ y x) -1/2) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
4.0ms
(- (* (/ y x) -1/2) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(- (* (/ y x) -1/2) x)

simplify1.3s

Counts
15 → 15
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
032173
182166
2230152
3774147
43178147
done5001147

prune21.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.0b

bsearch52.0ms

Steps
ItersRangePoint
8
7.789038224997725e+107
1.262008322990991e+112
1.2357322782900815e+112
10
-1.4120878331876276e+156
-2.4047927607493394e+144
-1.3285272782249076e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01828
12228
done2228

end0.0ms

sample358.0ms

Algorithm
intervals
Results
148.0ms8000×body80valid
47.0ms2706×body80nan