Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, A

Time bar (total: 3.2s)

analyze97.0ms (3%)

Memory
4.3MiB live, 35.4MiB 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
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 30 to 23 computations (23.3% saved)

sample2.9s (90.1%)

Memory
-3.2MiB live, 809.0MiB allocated
Samples
639.0ms8 256×0valid-baseline
627.0ms8 256×0valid-sollya
595.0ms8 256×0valid-rival
Bogosity

preprocess191.0ms (6%)

Memory
9.2MiB live, 24.9MiB allocated
Algorithm
1×egg-herbie
Rules
739×fma-define
734×fmm-def
137×distribute-lft-neg-in
122×cancel-sign-sub-inv
117×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
052578
1129538
2246538
3552526
41099510
52065506
63053506
73762506
83940506
94007506
104029506
114029506
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y))))
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y))))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y)))))
(neg.f64 (+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(neg.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y)))))
(+.f64 y (/.f64 x (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(+.f64 z (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 x)) (*.f64 z y))))
(+.f64 x (/.f64 z (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 y)) (*.f64 x z))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y))))
(+.f64 (neg.f64 x) (/.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))) x)
(-.f64 (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y)))))
(+.f64 x (/.f64 (neg.f64 y) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y))))
(+.f64 x (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 (neg.f64 x) y)))))
(+.f64 x (/.f64 (neg.f64 y) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))
(neg.f64 (+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x (neg.f64 y))))))
(+.f64 (neg.f64 x) (/.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))) x)
(-.f64 (/.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(neg.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) (*.f64 x y)))))
(-.f64 (neg.f64 x) (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 y (+.f64 (*.f64 x y) (neg.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x)
(-.f64 (/.f64 y (fma.f64 x y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x)
(+.f64 y (/.f64 x (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))))
(+.f64 y (/.f64 x (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(-.f64 y (/.f64 x (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 z (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 x)) (*.f64 z y))))
(+.f64 z (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 x)) (*.f64 y z))))
(+.f64 z (/.f64 (neg.f64 y) (fma.f64 y z (*.f64 (exp.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+.f64 x (/.f64 z (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 y)) (*.f64 x z))))
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) #s(literal -5641895835477563/5000000000000000 binary64)))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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
95.7%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×egg-herbie
Rules
5×*-commutative
5×+-commutative
4×sub-neg
3×neg-sub0
3×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01750
12550
23750
34350
44750
54850
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))

soundness0.0ms (0%)

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

Compiled 15 to 10 computations (33.3% saved)

preprocess27.0ms (0.8%)

Memory
-1.4MiB live, 32.4MiB allocated
Compiler

Compiled 90 to 62 computations (31.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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