Details

Time bar (total: 4.6s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0912
11411
22410
33110
done3110

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.5b

localize9.0ms

Local error

Found 1 expressions with local error:

33.7b
(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))))

series136.0ms

Counts
1 → 3
Calls
1 calls:
136.0ms
(sqrt (fma z z (fma x x (* y y))))

simplify1.3s

Counts
18 → 18
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
026207
138180
252172
385172
4144172
5239172
6312172
7490172
81166172
done5000172

prune52.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 15.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
33.7b
(sqrt (fma z z (fma x x (* y y))))
33.7b
(sqrt (fma z z (fma x x (* y y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
49×add-sqr-sqrt
34×sqrt-pow1
28×pow1
18×pow1/2
17×add-cube-cbrt *-un-lft-identity
15×swap-sqr
associate-*r* associate-*l* pow-prod-up unswap-sqr
add-exp-log pow-prod-down pow-sqr add-cbrt-cube
expm1-log1p-u log1p-expm1-u add-log-exp
rem-sqrt-square
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 107
Calls
3 calls:
26.0ms
(* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
1.0ms
(sqrt (fma z z (fma x x (* y y))))
2.0ms
(sqrt (fma z z (fma x x (* y y))))

series479.0ms

Counts
3 → 9
Calls
3 calls:
165.0ms
(* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
166.0ms
(sqrt (fma z z (fma x x (* y y))))
148.0ms
(sqrt (fma z z (fma x x (* y y))))

simplify1.1s

Counts
116 → 116
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0862653
11651543
29141414
done50011387

prune288.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 15.5b

localize2.0ms

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

prune3.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 15.5b

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

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 15.5b

regimes133.0ms

Accuracy

55.9% (8.8b remaining)

Error of 26.5b against oracle of 17.7b and baseline of 37.6b

bsearch75.0ms

Steps
ItersRangePoint
8
8.738423910046463e+22
2.684109276785447e+26
2.6491167853788415e+26
9
-5.96260320820354e+55
-8.100301105405308e+48
-5.634597593114443e+55

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01421
done1421

end0.0ms

sample937.0ms

Algorithm
intervals
Results
563.0ms8000×body80valid