Details

Time bar (total: 5.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0912
11411
22410
33010
done3010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.1b

localize8.0ms

Local error

Found 1 expressions with local error:

36.4b
(sqrt (fma z z (fma x x (* y y))))

rewrite1.0ms

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:
1.0ms
(sqrt (fma z z (fma x x (* y y))))

series125.0ms

Counts
1 → 3
Calls
1 calls:
125.0ms
(sqrt (fma z z (fma x x (* y y))))

simplify1.8s

Counts
18 → 18
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
026207
137180
250172
382172
4130172
5188172
6245172
7565172
81428172
done5001172

prune58.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (fma z z (fma x x (* y y)))))
36.4b
(sqrt (fma z z (fma x x (* y y))))
36.4b
(sqrt (fma z z (fma x x (* y y))))
36.4b
(sqrt (fma z z (fma x x (* y y))))

rewrite5.0ms

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:
1.0ms
(cbrt (sqrt (fma z z (fma x x (* y y)))))
1.0ms
(sqrt (fma z z (fma x x (* y y))))
1.0ms
(sqrt (fma z z (fma x x (* y y))))
1.0ms
(sqrt (fma z z (fma x x (* y y))))

series482.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (sqrt (fma z z (fma x x (* y y)))))
123.0ms
(sqrt (fma z z (fma x x (* y y))))
117.0ms
(sqrt (fma z z (fma x x (* y y))))
120.0ms
(sqrt (fma z z (fma x x (* y y))))

simplify2.6s

Counts
73 → 73
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
060952
1108853
2270801
3950794
44553794
done5000794

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 19.3b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 19.3b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 19.3b

regimes133.0ms

Accuracy

64.3% (7.0b remaining)

Error of 25.8b against oracle of 18.8b and baseline of 38.3b

bsearch59.0ms

Steps
ItersRangePoint
8
8.190465964655102e+120
2.5276388439093147e+123
2.420141040612424e+123
8
-1.8239455871173137e+105
-1.6711626844852712e+102
-1.8013280713396678e+105

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421
done1421

end0.0ms

sample400.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid