Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

Time bar (total: 7.2s)

analyze86.0ms (1.2%)

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
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
68.8%68.7%31.2%0.1%0%0%0%6
78.1%78%21.9%0.1%0%0%0%7
82.8%82.7%17.2%0.1%0%0%0%8
88.3%88.2%11.7%0.1%0%0%0%9
91%90.9%9%0.1%0%0%0%10
93.9%93.9%6%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample7.0s (96%)

Results
761.0ms8245×0valid-sollya
1.8s8245×0valid-rival
0.0ms1×1valid-sollya
0.0ms1×1valid-rival
1.0ms1×2valid-rival
0.0ms1×2valid-sollya
Bogosity

preprocess158.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
357×fma-define
301×fma-neg
72×associate-*l*
65×distribute-lft-neg-in
52×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034333
174297
2147281
3300281
4692273
51354273
61712273
71830273
81849273
91861273
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)))))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))))))
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))))))
(-.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) #s(literal 2 binary64)))))
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))))
(-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))))))
(-.f64 (neg.f64 x) (/.f64 y (fma.f64 (neg.f64 x) (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (neg.f64 x) (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)))))
(-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))))))
(+.f64 x (/.f64 y (fma.f64 (neg.f64 x) (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))))))
(-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))))))
(+.f64 x (/.f64 y (fma.f64 (neg.f64 x) (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))))))
(-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))))))
(-.f64 (neg.f64 x) (/.f64 y (fma.f64 (neg.f64 x) (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (neg.f64 x) (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(-.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) #s(literal 2 binary64)))))
(-.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y #s(literal 2 binary64))))))
(-.f64 y (/.f64 x (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 y (/.f64 x (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×neg-mul-1
19×unsub-neg
13×*-commutative
10×+-commutative
9×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01443
12443
23243
34243
45743
57643
610643
715343
816243
916443
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 13 to 9 computations (30.8% saved)

preprocess37.0ms (0.5%)

Compiler

Compiled 52 to 36 computations (30.8% saved)

end0.0ms (0%)

Profiling

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