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

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.1s (48.2%)

Memory
17.0MiB live, 1 085.9MiB allocated; 445ms collecting garbage
Samples
834.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 278.0ms
ival-mult: 154.0ms (55.4% of total)
ival-div: 108.0ms (38.9% of total)
ival-true: 5.0ms (1.8% of total)
exact: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain83.0ms (3.5%)

Memory
17.8MiB live, 107.6MiB allocated; 20ms 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-div: 4.0ms (47.1% of total)
ival-mult: 4.0ms (47.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess298.0ms (12.6%)

Memory
-7.8MiB live, 170.9MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13127
27025
315225
424725
542025
6152325
7483325
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 y)

(negabs x)

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

series5.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB 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
x
@0
((/ (* x y) 2) (* x y) x y 2)

simplify162.0ms (6.8%)

Memory
-12.0MiB live, 137.0MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11924
23224
34724
47524
518124
6109424
7529924
0801424
Stop Event
iter limit
node limit
Counts
4 → 4
Calls
Call 1
Inputs
#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
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* x y) (*.f64 y x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx y #s(hole binary64 y))
#s(approx y y)

rewrite29.0ms (1.2%)

Memory
0.9MiB live, 46.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11611
04711
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
5 → 13
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
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)

eval1.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 105 to 36 computations (65.7% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB 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 (0.2%)

Memory
9.6MiB live, 9.5MiB 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)
1.0ms
y
@0
((/ (* x y) 2) (* 1/2 (* y x)) 1/2 (* y x) y x (* (/ y 2) x) (/ y 2) 2)

simplify150.0ms (6.4%)

Memory
-26.0MiB live, 162.4MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01953
13053
23953
35253
48053
518653
6110353
7531453
0802953
Stop Event
iter limit
node limit
Counts
7 → 7
Calls
Call 1
Inputs
#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) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* (/ y 2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* (/ y 2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* y x) (*.f64 y x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (* (/ y 2) x) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* (/ y 2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x))
#s(approx y #s(hole binary64 y))
#s(approx y y)
#s(approx (/ y 2) #s(hole binary64 (* 1/2 y)))
#s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y))

rewrite20.0ms (0.8%)

Memory
32.4MiB live, 32.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
01531
12931
07031
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
9 → 26
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) (*.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 x #s(literal 1/2 binary64)))
(*.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)

eval3.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 299 to 74 computations (75.3% saved)

prune39.0ms (1.7%)

Memory
-34.8MiB live, 23.6MiB allocated; 42ms 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 (0.1%)

Memory
9.2MiB live, 9.2MiB 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)

simplify176.0ms (7.5%)

Memory
27.3MiB live, 165.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
12431
23431
34731
47531
518131
6110531
7531531
0803131
Stop Event
iter limit
node limit
Counts
5 → 5
Calls
Call 1
Inputs
#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
#s(approx (* (/ y 2) x) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* (/ y 2) x) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (/ y 2) #s(hole binary64 (* 1/2 y)))
#s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx y #s(hole binary64 y))
#s(approx y y)

rewrite40.0ms (1.7%)

Memory
-22.8MiB live, 74.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01022
11822
03922
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 8
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
(*.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

eval3.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 105 to 21 computations (80% saved)

prune5.0ms (0.2%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New11011
Fresh000
Picked011
Done000
Total11112
Accuracy
100.0%
Counts
12 → 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)

regimes23.0ms (1%)

Memory
-12.8MiB live, 32.9MiB allocated; 3ms 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:

13.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
3.0ms
(*.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)

regimes8.0ms (0.3%)

Memory
18.4MiB live, 18.4MiB 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:

2.0ms
x
2.0ms
y
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)

simplify51.0ms (2.1%)

Memory
-21.9MiB live, 77.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01320
11720
22320
33720
47720
541520
6362720
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
Outputs
(*.f64 #s(approx (/ y 2) (*.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

derivations87.0ms (3.7%)

Memory
-23.0MiB live, 69.5MiB allocated; 5ms collecting garbage
Stop Event
done
Compiler

Compiled 20 to 13 computations (35% saved)

preprocess31.0ms (1.3%)

Memory
2.5MiB live, 47.9MiB allocated; 8ms collecting garbage
Remove

(sort x y)

(negabs x)

(negabs y)

Compiler

Compiled 104 to 84 computations (19.2% saved)

end0.0ms (0%)

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

Profiling

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