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

Time bar (total: 933.0ms)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.8MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample552.0ms (59.2%)

Memory
-38.0MiB live, 940.5MiB allocated; 160ms collecting garbage
Samples
317.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult!: 66.0ms (62.7% of total)
ival-div!: 38.0ms (36.1% of total)
adjust: 2.0ms (1.9% of total)
Bogosity

preprocess236.0ms (25.3%)

Memory
6.9MiB live, 53.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01532
14030
28130
314230
424830
5108030
6488930
Stop Event
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% saved)

series5.0ms (0.5%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
5 → 4
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
Outputs
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (* x y) 2) (* x y) x y 2)
1.0ms
x
@inf
((/ (* x y) 2) (* x y) x y 2)
1.0ms
y
@-inf
((/ (* x y) 2) (* x y) x y 2)
1.0ms
y
@inf
((/ (* x y) 2) (* x y) x y 2)
1.0ms
y
@0
((/ (* x y) 2) (* x y) x y 2)

rewrite25.0ms (2.7%)

Memory
3.4MiB live, 49.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
01435
12635
06435
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
9 → 17
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
Outputs
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(*.f64 y x)
(*.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
#s(approx (* x y) (*.f64 y x))
#s(approx x x)
#s(approx y y)

eval1.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 45 to 34 computations (24.4% saved)

prune1.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New11213
Fresh000
Picked101
Done000
Total12214
Accuracy
100.0%
Counts
14 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
100.0%
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
Compiler

Compiled 14 to 14 computations (0% saved)

series5.0ms (0.5%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
9 → 7
Calls
Call 1
Inputs
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(/.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ y 2) x) #s(hole binary64 (* 1/2 (* x y))))
#s(approx y #s(hole binary64 y))
#s(approx (/ y 2) #s(hole binary64 (* 1/2 y)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (* x y) 2) (* 1/2 (* y x)) 1/2 (* y x) y x (* (/ y 2) x) (/ y 2) 2)
1.0ms
y
@-inf
((/ (* x y) 2) (* 1/2 (* y x)) 1/2 (* y x) y x (* (/ y 2) x) (/ y 2) 2)
1.0ms
y
@inf
((/ (* x y) 2) (* 1/2 (* y x)) 1/2 (* y x) y x (* (/ y 2) x) (/ y 2) 2)
1.0ms
x
@inf
((/ (* x y) 2) (* 1/2 (* y x)) 1/2 (* y x) y x (* (/ y 2) x) (/ y 2) 2)
0.0ms
y
@0
((/ (* x y) 2) (* 1/2 (* y x)) 1/2 (* y x) y x (* (/ y 2) x) (/ y 2) 2)

rewrite21.0ms (2.2%)

Memory
-16.7MiB live, 30.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02484
02984
14784
08584
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
16 → 33
Calls
Call 1
Inputs
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(/.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ y 2) x) #s(hole binary64 (* 1/2 (* x y))))
#s(approx y #s(hole binary64 y))
#s(approx (/ y 2) #s(hole binary64 (* 1/2 y)))
Outputs
#s(approx (/ (* x y) 2) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
#s(literal 1/2 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 y #s(literal 2 binary64))
(neg.f64 (/.f64 y #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 y) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(approx (/ (* x y) 2) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (* y x)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))
#s(approx (* y x) (*.f64 y x))
#s(approx x x)
#s(approx (/ (* x y) 2) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))
#s(approx y y)
#s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y))

eval2.0ms (0.2%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 95 to 72 computations (24.2% saved)

prune2.0ms (0.2%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New24125
Fresh000
Picked202
Done000
Total26127
Accuracy
100.0%
Counts
27 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)) x)
Compiler

Compiled 8 to 8 computations (0% saved)

series3.0ms (0.3%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
6 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
Outputs
#s(approx (* (/ y 2) x) #s(hole binary64 (* 1/2 (* x y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ y 2) #s(hole binary64 (* 1/2 y)))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx y #s(hole binary64 y))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((* (/ y 2) x) (/ y 2) (* 1/2 y) 1/2 y x)
1.0ms
y
@-inf
((* (/ y 2) x) (/ y 2) (* 1/2 y) 1/2 y x)
0.0ms
x
@inf
((* (/ y 2) x) (/ y 2) (* 1/2 y) 1/2 y x)
0.0ms
x
@-inf
((* (/ y 2) x) (/ y 2) (* 1/2 y) 1/2 y x)
0.0ms
y
@0
((* (/ y 2) x) (/ y 2) (* 1/2 y) 1/2 y x)

rewrite21.0ms (2.3%)

Memory
-24.0MiB live, 31.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01753
01853
13353
06753
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
11 → 13
Calls
Call 1
Inputs
(*.f64 #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (* (/ y 2) x) #s(hole binary64 (* 1/2 (* x y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ y 2) #s(hole binary64 (* 1/2 y)))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx y #s(hole binary64 y))
Outputs
(*.f64 x #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
x
#s(approx (* (/ y 2) x) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx y y)

eval8.0ms (0.9%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 31 to 26 computations (16.1% saved)

prune1.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New606
Fresh000
Picked011
Done000
Total617
Accuracy
100.0%
Counts
7 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)) x)
Compiler

Compiled 26 to 26 computations (0% saved)

regimes8.0ms (0.9%)

Memory
-25.5MiB live, 21.2MiB allocated; 2ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Outputs
(*.f64 #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)) x)
Calls

4 calls:

4.0ms
x
2.0ms
y
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 10 to 12 computations (-20% saved)

regimes4.0ms (0.4%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
Outputs
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
Calls

4 calls:

1.0ms
x
1.0ms
(*.f64 x y)
1.0ms
y
1.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
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 10 to 12 computations (-20% saved)

derivations3.0ms (0.3%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 13 to 13 computations (0% saved)

preprocess33.0ms (3.6%)

Memory
-8.5MiB live, 85.2MiB allocated; 5ms collecting garbage
Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 120 to 120 computations (0% saved)

end0.0ms (0%)

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

Profiling

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