Details

Time bar (total: 5.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
22012
32212
done2212

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.3b

localize8.0ms

Local error

Found 1 expressions with local error:

33.8b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
29.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.7s

Counts
18 → 18
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
041305
192270
2270256
3907246
43276246
done5000246

prune51.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 15.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
0.3b
(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
34.9b
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
34.9b
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
associate-*r*
cbrt-div
pow1
add-exp-log add-cbrt-cube
flip3-+ sqrt-div flip-+ add-log-exp
pow1/3 associate-*l* unswap-sqr
rem-sqrt-square sqrt-pow1 associate-*r/
pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
33.0ms
(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
74.0ms
(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
16.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
16.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

series504.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
156.0ms
(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
118.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
118.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.4s

Counts
86 → 86
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01412243
13192103
29441901
326811832
done50011818

prune256.0ms

Pruning

5 alts after pruning (3 fresh and 2 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

prune2.0ms

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

regimes291.0ms

Accuracy

63.5% (7.1b remaining)

Error of 25.0b against oracle of 17.8b and baseline of 37.4b

bsearch56.0ms

Steps
ItersRangePoint
8
5.2211603344189125e+47
1.338752107099957e+51
1.3221493030139048e+51
10
-1.1996080839781489e+124
-1.8713537616617044e+109
-3.655717002048407e+123

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01623
11823
done1823

end0.0ms

sample438.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid