Details

Time bar (total: 8.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0912
11411
22410
33110
done3110

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.4b

localize19.0ms

Local error

Found 1 expressions with local error:

34.7b
(sqrt (fma z z (fma x x (* y y))))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
2.0ms
(sqrt (fma z z (fma x x (* y y))))

series183.0ms

Counts
1 → 3
Calls
1 calls:
183.0ms
(sqrt (fma z z (fma x x (* y y))))

simplify1.9s

Counts
18 → 18
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
026207
138180
252172
385172
4144172
5239172
6312172
7490172
81166172
done5000172

prune99.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (fma z z (fma x x (* y y)))))
34.7b
(sqrt (fma z z (fma x x (* y y))))
34.7b
(sqrt (fma z z (fma x x (* y y))))
34.7b
(sqrt (fma z z (fma x x (* y y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
add-cube-cbrt *-un-lft-identity
pow1
cbrt-prod
add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2
pow1/3
Counts
4 → 61
Calls
4 calls:
2.0ms
(cbrt (sqrt (fma z z (fma x x (* y y)))))
2.0ms
(sqrt (fma z z (fma x x (* y y))))
14.0ms
(sqrt (fma z z (fma x x (* y y))))
4.0ms
(sqrt (fma z z (fma x x (* y y))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(cbrt (sqrt (fma z z (fma x x (* y y)))))
207.0ms
(sqrt (fma z z (fma x x (* y y))))
165.0ms
(sqrt (fma z z (fma x x (* y y))))
218.0ms
(sqrt (fma z z (fma x x (* y y))))

simplify3.3s

Counts
73 → 73
Iterations

Useful iterations: 3 (258.0ms)

IterNodesCost
060952
1109852
2260801
3936794
44608794
done5000794

prune338.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 19.2b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune5.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 19.2b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 19.2b

regimes219.0ms

Accuracy

60.8% (7.8b remaining)

Error of 25.6b against oracle of 17.8b and baseline of 37.7b

bsearch61.0ms

Steps
ItersRangePoint
8
8.068068229426923e+44
2.228865932081742e+47
2.200001758568739e+47
7
-2.2592652681113707e+105
-3.424405021802736e+103
-2.232124088806184e+105

simplify1.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01421
done1421

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid