Logistic distribution

Time bar (total: 12.2s)

analyze26.0ms (0.2%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
50%12.4%12.4%75.3%0%0%0%3
50%12.4%12.4%75.3%0%0%0%4
75%18.5%6.2%75.3%0%0%0%5
75%18.5%6.2%75.3%0%0%0%6
87.5%21.6%3.1%75.3%0%0%0%7
87.5%21.6%3.1%75.3%0%0%0%8
93.7%23.2%1.5%75.3%0%0%0%9
93.7%23.2%1.5%75.3%0%0%0%10
96.9%23.9%0.8%75.3%0%0%0%11
96.9%23.9%0.8%75.3%0%0%0%12
Compiler

Compiled 57 to 25 computations (56.1% saved)

sample12.0s (98.5%)

Memory
-4.5MiB live, 2 466.1MiB allocated
Samples
1.3s7 982×0valid-sollya
607.0ms7 982×0valid-baseline
587.0ms7 982×0valid-rival
22.0ms274×0valid-rival+baseline-zero
Bogosity

preprocess126.0ms (1%)

Memory
-7.3MiB live, 23.5MiB allocated
Algorithm
1×egg-herbie
Rules
1 376×div-sub
1 316×fmm-def
1 038×fma-define
904×times-frac
572×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043782
1156734
2497717
31530711
44467711
57651711
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s))))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (neg.f32 s) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (neg.f32 s) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s))))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (neg.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))) (*.f32 (neg.f32 s) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (neg.f32 s) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x))))))
(/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x))) x) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x)))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x)))) (+.f32 x (/.f32 x (exp.f32 (/.f32 (fabs.f32 s) x))))))
Symmetry

(abs x)

Compiler

Compiled 28 to 11 computations (60.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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
99.5%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 56 to 22 computations (60.7% saved)

simplify3.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative
8×+-commutative
6×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017106
130106
236106
341106
444106
545106
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))

soundness0.0ms (0%)

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

Compiled 28 to 11 computations (60.7% saved)

preprocess23.0ms (0.2%)

Memory
9.0MiB live, 26.7MiB allocated
Remove

(abs x)

Compiler

Compiled 224 to 88 computations (60.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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