Details

Time bar (total: 10.2s)

sample34.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0912
11411
22410
33010
done3010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* y y))
35.1b
(sqrt (fma z z (fma x x (* y y))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
2 → 25
Calls
2 calls:
0.0ms
(fma x x (* y y))
2.0ms
(sqrt (fma z z (fma x x (* y y))))

series214.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(fma x x (* y y))
166.0ms
(sqrt (fma z z (fma x x (* y y))))

simplify4.7s

Counts
31 → 31
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
039315
156285
2109257
3245257
4589257
51902257
done5000257

prune107.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 20.3b

localize14.0ms

Local error

Found 4 expressions with local error:

31.0b
(cbrt (fma x x (* y y)))
31.0b
(cbrt (fma x x (* y y)))
31.0b
(cbrt (fma x x (* y y)))
35.1b
(sqrt (fma z z (* (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3 sqrt-prod
rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt (fma x x (* y y)))
1.0ms
(cbrt (fma x x (* y y)))
1.0ms
(cbrt (fma x x (* y y)))
2.0ms
(sqrt (fma z z (* (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (fma x x (* y y)))
124.0ms
(cbrt (fma x x (* y y)))
138.0ms
(cbrt (fma x x (* y y)))
169.0ms
(sqrt (fma z z (* (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))))))

simplify2.8s

Counts
66 → 66
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0561029
193962
2165658
3315604
4681604
51886604
done5001604

prune341.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 20.3b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 20.3b

localize4.0ms

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

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 20.3b

regimes242.0ms

Accuracy

58.2% (8.0b remaining)

Error of 26.3b against oracle of 18.3b and baseline of 37.5b

bsearch189.0ms

Steps
ItersRangePoint
5
2.806268467187998e+102
7.084463501826363e+102
6.991472626016894e+102
7
3.5537416661139123e-189
7.969202263985556e-188
2.51559551649931e-188
6
9.809081465533469e-231
9.963947297870197e-230
9.751071527140869e-230
4
-2.1440023719144302e+78
-1.3539260802712303e+78
-2.1037266331903983e+78
8
-4.409371467983928e+237
-5.755659206285147e+233
-4.32729998568675e+237
10
-6.435282194959625e+260
-8.462797347801567e+245
-8.568144212234696e+245

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02651
done2651

end0.0ms

sample913.0ms

Algorithm
intervals
Results
648.0ms8000×body80valid