Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

Time bar (total: 2.8s)

analyze77.0ms (2.8%)

Memory
-2.5MiB live, 31.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 28 to 21 computations (25% saved)

sample2.6s (92.5%)

Memory
32.0MiB live, 814.4MiB allocated
Samples
522.0ms8 256×0valid-sollya
510.0ms8 256×0valid-baseline
462.0ms8 256×0valid-rival
Precisions
Click to see Rival histograms. Total time spent on operations: 266.0ms
ival-mult: 166.0ms (62.5% of total)
ival-div: 49.0ms (18.5% of total)
ival-add: 38.0ms (14.3% of total)
ival-true: 7.0ms (2.6% of total)
...in/eval/compile.rkt:76:19: 3.0ms (1.1% of total)
ival-assert: 3.0ms (1.1% of total)
Precisions
Click to see Base histograms. Total time spent on operations: 255.0ms
ival-mult: 155.0ms (60.7% of total)
ival-div: 47.0ms (18.4% of total)
ival-add: 44.0ms (17.2% of total)
const: 10.0ms (3.9% of total)
Bogosity

preprocess101.0ms (3.6%)

Memory
-9.8MiB live, 21.4MiB allocated
Algorithm
1×egg-herbie
Rules
858×times-frac
514×div-sub
441×unsub-neg
436×distribute-frac-neg
404×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042526
1161518
2666478
33431478
46129478
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (+.f64 (neg.f64 z) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))))
(neg.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (+.f64 (neg.f64 z) #s(literal 1 binary64)))))
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 z y) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x z) (*.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z #s(literal 1 binary64))))
(*.f64 y (/.f64 (/.f64 x (*.f64 z z)) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z #s(literal 1 binary64))))
(*.f64 y (/.f64 (/.f64 x (*.f64 z z)) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x (/.f64 (neg.f64 y) (*.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z))))
(*.f64 x (/.f64 (/.f64 (neg.f64 y) (+.f64 z #s(literal 1 binary64))) (*.f64 z z)))
(/.f64 (*.f64 x (neg.f64 y)) (fma.f64 z z (pow.f64 z #s(literal 3 binary64))))
(*.f64 x (/.f64 (/.f64 y (*.f64 z z)) (-.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x (/.f64 (neg.f64 y) (*.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z))))
(*.f64 x (/.f64 (/.f64 (neg.f64 y) (+.f64 z #s(literal 1 binary64))) (*.f64 z z)))
(/.f64 (*.f64 x (neg.f64 y)) (fma.f64 z z (pow.f64 z #s(literal 3 binary64))))
(*.f64 x (/.f64 (/.f64 y (*.f64 z z)) (-.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (+.f64 (neg.f64 z) #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (neg.f64 z))))
(*.f64 x (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z z)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))))
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z #s(literal 1 binary64))))
(*.f64 y (/.f64 (/.f64 x (*.f64 z z)) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 3 binary64))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))))
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z #s(literal 1 binary64))))
(*.f64 y (/.f64 (/.f64 x (*.f64 z z)) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 3 binary64))))
(neg.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (+.f64 (neg.f64 z) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (neg.f64 z))))
(*.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z))))
(*.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(*.f64 x (/.f64 y (fma.f64 z (neg.f64 z) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z #s(literal 1 binary64))))
(*.f64 y (/.f64 (/.f64 x (*.f64 z z)) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 z y) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 z (*.f64 x x)) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(*.f64 y (/.f64 z (+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 y (/.f64 z (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x z) (*.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (/.f64 z (*.f64 y (*.f64 y (+.f64 y #s(literal 1 binary64))))))
(*.f64 x (/.f64 z (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))))
(*.f64 z (/.f64 x (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))))
Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.4%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify2.0ms (0.1%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×egg-herbie
Rules
3×1-exp
2×*-commutative
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01546
12446
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

soundness0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Stop Event
1×fuel
Compiler

Compiled 14 to 9 computations (35.7% saved)

preprocess28.0ms (1%)

Memory
7.0MiB live, 38.4MiB allocated
Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 282 to 178 computations (36.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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