Details

Time bar (total: 7.6s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done23
323
220
113
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.9b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:
24.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series145.0ms

Counts
1 → 3
Calls
1 calls:
145.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify2.5s

Counts
18 → 18
Iterations
IterNodes
done5003
44639
31055
2281
192
041

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 14.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
0.2b
(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (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)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×*-un-lft-identity add-cube-cbrt
associate-*r*
cbrt-div
pow1
add-cbrt-cube add-exp-log
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:
41.0ms
(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
84.0ms
(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
13.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
15.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
160.0ms
(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
513.0ms
(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
161.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))
167.0ms
(cbrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.1s

Counts
86 → 86
Iterations
IterNodes
done5000
21344
1337
0141

prune671.0ms

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

prune11.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 14.9b

localize4.0ms

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

regimes834.0ms

Accuracy

63.1% (7.4b remaining)

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

bsearch94.0ms

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

sample804.0ms

Algorithm
intervals
Results
550.0ms8000×body80valid