sqrtexp (problem 3.4.4)

Time bar (total: 13.5s)

analyze164.0ms (1.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
53.1%53.1%46.9%0%0%0%0%7
53.1%53.1%46.9%0%0%0%0%8
53.9%53.9%46.1%0%0%0%0%9
54.1%54.1%45.9%0%0%0%0%10
54.2%54.2%45.8%0%0%0%0%11
54.2%54.2%45.7%0%0%0%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample13.1s (96.8%)

Results
401.0ms5199×1valid-sollya
4.4s5199×1valid-rival
183.0ms3019×0valid-sollya
702.0ms3019×0valid-rival
Bogosity

preprocess181.0ms (1.3%)

Algorithm
egg-herbie
Rules
612×div-sub
326×associate--r+
307×associate-+l-
283×fma-define
257×associate--l+
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024144
156136
282136
3128136
422196
540184
680384
7295984
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
unsub-neg
sub-neg
1-exp
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12443
22943
33243
43543
53943
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (+.f64 (exp.f64 x) #s(literal -1 binary64))))

soundness15.0ms (0.1%)

Stop Event
fuel
Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess62.0ms (0.5%)

Compiler

Compiled 52 to 40 computations (23.1% saved)

end0.0ms (0%)

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