Numeric.Interval.Internal:scale from intervals-0.7.1, B

Time bar (total: 1.1s)

start0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 7 to 7 computations (0.0% saved)

sample668.0ms (62.5%)

Memory
75.8MiB live, 1 426.8MiB allocated; 342ms collecting garbage
Samples
467.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-div!: 77.0ms (52.5% of total)
ival-mult!: 68.0ms (46.3% of total)
adjust: 1.0ms (0.7% of total)
Bogosity

preprocess95.0ms (8.9%)

Memory
-39.0MiB live, 53.3MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01532
14630
210830
325930
472830
5267930
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 10 to 10 computations (0.0% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series18.0ms (1.7%)

Memory
7.3MiB live, 53.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
Stop Event
1×iter-limit
Counts
5 → 4
Calls
Call 1
Inputs
x
y
(*.f64 x y)
#s(literal 2 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Outputs
#s(approx x x)
#s(approx (* x y) (*.f64 x y))
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
#s(approx y y)
Calls

6 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
y
-inf
1.0ms
x
0
1.0ms
y
inf

rewrite195.0ms (18.3%)

Memory
-10.3MiB live, 190.7MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
12111
27611
323611
479011
5307211
0408311
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
5 → 112
Calls
Call 1
Inputs
x
y
(*.f64 x y)
#s(literal 2 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Outputs
x
y
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 y x))) (*.f64 y x))
(*.f64 (+.f64 y y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 x x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (+.f64 y y) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 y y))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 x x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y y) x))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(/.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) x)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 y x))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 y x) #s(literal 0 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 y y) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 y x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 (*.f64 y x) #s(literal 0 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (*.f64 y x) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 y y))
(*.f64 (*.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x x))
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 y y) x))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1/4 binary64))
(*.f64 (*.f64 (+.f64 y y) x) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (*.f64 y x) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 y y) x) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 0 binary64))

eval8.0ms (0.8%)

Memory
35.0MiB live, 35.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 991 to 257 computations (74.1% saved)

prune8.0ms (0.8%)

Memory
-29.2MiB live, 20.3MiB allocated; 7ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1111112
Fresh000
Picked101
Done000
Total1121113
Accuracy
100.0%
Counts
113 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
Compiler

Compiled 5 to 5 computations (0.0% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
Outputs
#s(literal 1/2 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series15.0ms (1.4%)

Memory
-12.4MiB live, 32.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
Stop Event
1×iter-limit
Counts
5 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
y
(*.f64 #s(literal 1/2 binary64) y)
x
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
Outputs
#s(approx x x)
#s(approx (* (* 1/2 y) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
#s(approx y y)
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y))
Calls

6 calls:

TimeVariablePoint
1.0ms
y
0
1.0ms
y
-inf
1.0ms
y
inf
0.0ms
x
inf
0.0ms
x
-inf

rewrite11.0ms (1.0%)

Memory
45.9MiB live, 45.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11111
21811
32011
02011
Stop Event
1×iter-limit
1×saturated
1×iter-limit
Counts
5 → 11
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
y
(*.f64 #s(literal 1/2 binary64) y)
x
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
Outputs
#s(literal 1/2 binary64)
y
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
x
(*.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))

eval11.0ms (1.0%)

Memory
-35.1MiB live, 7.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 69 to 25 computations (63.8% saved)

prune1.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New11011
Fresh000
Picked101
Done-110
Total11112
Accuracy
100.0%
Counts
12 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
Compiler

Compiled 5 to 5 computations (0.0% saved)

regimes6.0ms (0.6%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
Calls

4 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
100.0%1(*.f64 x y)
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1x
100.0%1y
Compiler

Compiled 20 to 20 computations (0.0% saved)

derivations20.0ms (1.9%)

Memory
-37.3MiB live, 9.3MiB allocated; 5ms collecting garbage
Stop Event
1×done
Compiler

Compiled 5 to 5 computations (0.0% saved)

preprocess9.0ms (0.8%)

Memory
29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 40 to 40 computations (0.0% saved)

end0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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