Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D

Time bar (total: 2.8s)

analyze14.0ms (0.5%)

Memory
4.3MiB live, 4.3MiB 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
100%50%0%0.1%0%50%0%2
Compiler

Compiled 33 to 27 computations (18.2% saved)

sample2.5s (89%)

Memory
-4.4MiB live, 793.1MiB allocated
Samples
506.0ms8 256×0valid-baseline
495.0ms8 256×0valid-rival
417.0ms8 256×0valid-sollya
Bogosity

preprocess265.0ms (9.4%)

Memory
6.6MiB live, 22.5MiB allocated
Algorithm
1×egg-herbie
Rules
1 293×fmm-def
277×times-frac
261×fma-define
195×distribute-lft-neg-in
176×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038382
195324
2264300
3727288
41825288
53888288
64479288
74585288
84615288
94619288
104619288
115225288
125225288
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x))))))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 9 binary64)))) (/.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 y))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (neg.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (neg.f64 x)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 (neg.f64 x)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x))))))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (neg.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 (neg.f64 x))))))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (neg.f64 x)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 (neg.f64 x)))))
(+.f64 (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (neg.f64 x))) #s(literal -1 binary64)))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 9 binary64)))) (/.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 y))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) y)) (/.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 y)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 x #s(literal 3 binary64)) (sqrt.f64 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 x #s(literal 3 binary64)) (sqrt.f64 y))))
(fma.f64 x (/.f64 #s(literal -1/3 binary64) (sqrt.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) y)))
(-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/3 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1/9 binary64) y)))
Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 32 to 24 computations (25% saved)

simplify4.0ms (0.1%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×egg-herbie
Rules
25×neg-mul-1
19×unsub-neg
18×*-commutative
13×distribute-rgt-neg-in
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01850
12950
24450
36850
48850
513050
619050
719650
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

soundness0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Stop Event
1×fuel
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess25.0ms (0.9%)

Memory
3.0MiB live, 34.2MiB allocated
Compiler

Compiled 96 to 72 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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