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

Time bar (total: 4.4s)

analyze18.0ms (0.4%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 42 to 35 computations (16.7% saved)

sample3.8s (86.3%)

Memory
4.0MiB live, 1 039.7MiB allocated
Samples
1.0s8 256×0valid-baseline
992.0ms8 256×0valid-rival
850.0ms8 256×0valid-sollya
Bogosity

preprocess556.0ms (12.6%)

Memory
7.7MiB live, 22.9MiB allocated
Algorithm
1×egg-herbie
Rules
2 376×fmm-def
645×fma-define
472×unsub-neg
469×times-frac
402×distribute-lft-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032300
180244
2227228
3615220
41293220
52395204
64033204
75270204
85804204
96005204
106062204
116096204
126726204
137238204
147568204
157590204
167600204
177608204
187618204
197630204
207634204
217634204
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 (neg.f64 x) #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (*.f64 (neg.f64 x) #s(literal 4481/100000 binary64)))))) (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 (neg.f64 x) #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (*.f64 (neg.f64 x) #s(literal 4481/100000 binary64)))))) (neg.f64 x))))
Outputs
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 (neg.f64 x) #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (*.f64 (neg.f64 x) #s(literal 4481/100000 binary64)))))) (neg.f64 x)))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (neg.f64 (*.f64 x #s(literal 4481/100000 binary64))))))) (neg.f64 x)))
(*.f64 #s(literal 70711/100000 binary64) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))
(*.f64 #s(literal 70711/100000 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64)))))))
(*.f64 #s(literal 70711/100000 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 70711/100000 binary64) x (/.f64 (fma.f64 x #s(literal -1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 1 binary64))))
(neg.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 (neg.f64 x) #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (*.f64 (neg.f64 x) #s(literal 4481/100000 binary64)))))) (neg.f64 x))))
(*.f64 #s(literal -70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (neg.f64 (*.f64 x #s(literal 4481/100000 binary64))))))) (neg.f64 x)))
(*.f64 (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))) #s(literal -70711/100000 binary64))
(*.f64 (+.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64)))))) #s(literal -70711/100000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -1913510371/10000000000 binary64))) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal -1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal -16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 20 to 16 computations (20% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune9.0ms (0.2%)

Memory
-18.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
Compiler

Compiled 40 to 32 computations (20% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02067
13567
23967
34167
44267
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
Outputs
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))

soundness0.0ms (0%)

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

Compiled 20 to 16 computations (20% saved)

preprocess18.0ms (0.4%)

Memory
6.8MiB live, 22.4MiB allocated
Compiler

Compiled 80 to 64 computations (20% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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