Details

Time bar (total: 7.8s)

sample33.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
done20
320
219
113
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.9b

localize20.0ms

Local error

Found 1 expressions with local error:

37.0b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity sqrt-div add-cube-cbrt
rem-sqrt-square sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 add-exp-log flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
35.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series150.0ms

Counts
1 → 3
Calls
1 calls:
150.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify2.3s

Counts
18 → 18
Iterations
IterNodes
done5000
43299
3932
2265
192
041

prune118.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 14.9b

localize27.0ms

Local error

Found 4 expressions with local error:

20.8b
(sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
38.2b
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
38.2b
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
38.2b
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×pow1
cbrt-prod sqrt-pow1 flip3-+ pow1/3 flip-+
sqrt-div
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
frac-times add-cbrt-cube add-exp-log add-log-exp
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 rem-sqrt-square pow-plus pow1/2 sqrt-prod
Counts
4 → 66
Calls
4 calls:
39.0ms
(sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
13.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
14.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
21.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

series635.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
186.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
148.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
165.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.7s

Counts
78 → 78
Iterations
IterNodes
done5009
31745
2492
1203
0103

prune543.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 14.9b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune13.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 14.9b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 14.9b

regimes807.0ms

Accuracy

63.1% (7.4b remaining)

Error of 25.0b against oracle of 17.6b and baseline of 37.6b

bsearch98.0ms

Steps
ItersRangePoint
10
3.1068034585604e+112
4.9796964330528925e+125
4.471707363468376e+118
8
-3.4845569108032984e+105
-2.5523402779249368e+101
-8.656892189523162e+102

simplify4.0ms

Iterations
IterNodes
done18
118
016

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8000×body80valid