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

Time bar (total: 1.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB 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)

sample763.0ms (61.2%)

Memory
-14.6MiB live, 908.9MiB allocated; 210ms collecting garbage
Samples
506.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult!: 110.0ms (71.7% of total)
ival-div!: 42.0ms (27.4% of total)
adjust: 2.0ms (1.3% of total)
Bogosity

explain78.0ms (6.3%)

Memory
1.4MiB live, 94.6MiB allocated; 5ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
20.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 5.0ms (63.3% of total)
ival-div!: 2.0ms (25.3% of total)
adjust: 0.0ms (0% of total)

preprocess229.0ms (18.4%)

Memory
36.3MiB live, 222.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
13232
27030
315030
424530
541830
6151830
7483030
055
075
1125
2185
3315
4595
51635
610405
755035
084105
Stop Event
iter-limit
node-limit
iter-limit
node-limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

series27.0ms (2.2%)

Memory
-44.5MiB live, 57.2MiB allocated; 9ms 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
16.0ms
y
@0
((/ (* x y) 2) (* x y) x y 2)
6.0ms
x
@-inf
((/ (* x y) 2) (* x y) x y 2)
2.0ms
y
@-inf
((/ (* x y) 2) (* x y) x y 2)
1.0ms
x
@inf
((/ (* x y) 2) (* x y) x y 2)
1.0ms
x
@0
((/ (* x y) 2) (* x y) x y 2)

rewrite29.0ms (2.3%)

Memory
13.5MiB live, 60.3MiB allocated; 2ms 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 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 y x) #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)

eval2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 105 to 36 computations (65.7% saved)

prune1.0ms (0.1%)

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218
Accuracy
100.0%
Counts
18 → 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 16 to 14 computations (12.5% saved)

series5.0ms (0.4%)

Memory
10.0MiB live, 10.0MiB 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 (1.7%)

Memory
-6.0MiB live, 41.3MiB allocated; 2ms 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 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 y x) #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 (neg.f64 y) #s(literal 2 binary64)))
(neg.f64 (/.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))

eval3.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 305 to 75 computations (75.4% saved)

prune13.0ms (1%)

Memory
-34.3MiB live, 21.0MiB allocated; 11ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New34135
Fresh000
Picked202
Done000
Total36137
Accuracy
100.0%
Counts
37 → 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 9 to 8 computations (11.1% saved)

series3.0ms (0.3%)

Memory
7.9MiB live, 7.9MiB 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
y
@0
((* (/ 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)

rewrite20.0ms (1.6%)

Memory
-12.4MiB live, 34.7MiB allocated; 2ms 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)

eval2.0ms (0.2%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 118 to 27 computations (77.1% saved)

prune2.0ms (0.2%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New12012
Fresh000
Picked011
Done000
Total12113
Accuracy
100.0%
Counts
13 → 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 39 to 26 computations (33.3% saved)

regimes7.0ms (0.6%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms 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:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms
(*.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)

regimes5.0ms (0.4%)

Memory
-33.3MiB live, 14.0MiB allocated; 1ms 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:

2.0ms
(*.f64 x y)
1.0ms
y
1.0ms
x
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)

derivations2.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 20 to 13 computations (35% saved)

preprocess33.0ms (2.6%)

Memory
40.5MiB live, 87.8MiB allocated; 2ms collecting garbage
Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 170 to 138 computations (18.8% saved)

end0.0ms (0%)

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

Profiling

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