Details

Time bar (total: 5.6s)

sample30.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify19.0ms

Counts
1 → 1
Iterations
IterNodes
done31
331
224
114
09

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 38.6b

localize11.0ms

Local error

Found 1 expressions with local error:

35.9b
(sqrt (fma z z (fma y y (* x x))))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity add-cube-cbrt
expm1-log1p-u rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
1.0ms
(sqrt (fma z z (fma y y (* x x))))

series157.0ms

Counts
1 → 3
Calls
1 calls:
156.0ms
(sqrt (fma z z (fma y y (* x x))))

simplify1.4s

Counts
18 → 18
Iterations
IterNodes
done5000
81170
7521
6342
5243
4144
385
252
138
026

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.4b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.0b
(+ (* x x) (* y y))
35.9b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
pow1 sum-log fma-def
expm1-log1p-u flip3-+ add-cbrt-cube add-exp-log sqrt-prod flip-+ log1p-expm1-u
+-commutative sqrt-div
rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 hypot-def
Counts
3 → 50
Calls
3 calls:
53.0ms
(+ (+ (* x x) (* y y)) (* z z))
13.0ms
(+ (* x x) (* y y))
55.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ (+ (* x x) (* y y)) (* z z))
38.0ms
(+ (* x x) (* y y))
171.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify994.0ms

Counts
59 → 59
Iterations
IterNodes
done5000
21572
1253
080

prune398.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 14.3b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune15.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 14.3b

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

6 alts after pruning (2 fresh and 4 done)

Merged error: 14.3b

regimes902.0ms

Accuracy

47.5% (13.3b remaining)

Error of 25.7b against oracle of 12.3b and baseline of 37.7b

bsearch77.0ms

Steps
ItersRangePoint
7
9.160742564788728e+138
1.5580350000448912e+141
6.823938244536721e+139
8
-3.199992896271572e+101
-5.234393438211208e+98
-2.0158187983075897e+101

simplify1.0ms

Iterations
IterNodes
done14
014

end0.0ms

sample970.0ms

Algorithm
intervals
Results
607.0ms8000×body80valid