Falkner and Boettcher, Appendix A

Time bar (total: 7.8s)

analyze377.0ms (4.8%)

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%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
50%49.9%49.9%0.1%0%0%0%7
50%49.9%49.9%0.1%0%0%0%8
50%49.9%49.9%0.1%0%0%0%9
52.3%51.5%47%0.1%0%0%1.4%10
52.3%51.5%46.9%0.1%0%0%1.5%11
54.7%53%43.9%0.1%0%0%2.9%12
Compiler

Compiled 19 to 13 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 243.0ms
Operation ival-pow, time spent: 158.0ms, 65.0% of total-time
Operation ival-mult, time spent: 44.0ms, 18.0% of total-time
Operation ival-add, time spent: 21.0ms, 9.0% of total-time
Operation ival-div, time spent: 16.0ms, 7.0% of total-time
Operation const, time spent: 5.0ms, 2.0% of total-time

sample6.7s (86.5%)

Results
1.1s6013×256valid
468.0ms2242×256infinite
4.7s2068×8192exit
9.0ms40×256unsamplable
0.0ms1×256infinite
Precisions
Click to see histograms. Total time spent on operations: 4.9s
Operation ival-pow, time spent: 3.8s, 78.0% of total-time
Operation ival-mult, time spent: 589.0ms, 12.0% of total-time
Operation ival-add, time spent: 245.0ms, 5.0% of total-time
Operation ival-div, time spent: 205.0ms, 4.0% of total-time
Operation const, time spent: 51.0ms, 1.0% of total-time
Bogosity

preprocess675.0ms (8.7%)

Algorithm
1×egg-herbie
Rules
2078×fma-define
2044×fma-neg
1052×unsub-neg
944×times-frac
674×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054707
1130610
2325560
3805552
42137544
53877544
65232544
76193544
86504544
96679544
106752544
117493544
127721544
137757544
147836544
157836544
167836544
177836544
187856544
198000544
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(/.f64 (*.f64 (neg.f64 a) (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(/.f64 (*.f64 a (pow.f64 (neg.f64 k) m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) (neg.f64 k))) (*.f64 (neg.f64 k) (neg.f64 k))))
(/.f64 (*.f64 a (pow.f64 k (neg.f64 m))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(neg.f64 (/.f64 (*.f64 (neg.f64 a) (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k))))
(neg.f64 (/.f64 (*.f64 a (pow.f64 (neg.f64 k) m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) (neg.f64 k))) (*.f64 (neg.f64 k) (neg.f64 k)))))
(neg.f64 (/.f64 (*.f64 a (pow.f64 k (neg.f64 m))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k))))
(/.f64 (*.f64 k (pow.f64 a m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) a)) (*.f64 a a)))
(/.f64 (*.f64 m (pow.f64 k a)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(/.f64 (*.f64 a (pow.f64 m k)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) m)) (*.f64 m m)))
Outputs
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 k #s(literal 10 binary64))) (*.f64 k k)))
(*.f64 a (/.f64 (pow.f64 k m) (+.f64 #s(literal 1 binary64) (*.f64 k (+.f64 #s(literal 10 binary64) k)))))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 k m) (/.f64 a (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 k #s(literal 10 binary64))) (*.f64 k k)))
(*.f64 a (/.f64 (pow.f64 k m) (+.f64 #s(literal 1 binary64) (*.f64 k (+.f64 #s(literal 10 binary64) k)))))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 k m) (/.f64 a (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 a) (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(*.f64 (neg.f64 a) (/.f64 (pow.f64 k m) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 k #s(literal 10 binary64))) (*.f64 k k))))
(*.f64 (pow.f64 k m) (/.f64 (neg.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 k (+.f64 #s(literal 10 binary64) k)))))
(*.f64 (pow.f64 k m) (/.f64 a (-.f64 #s(literal -1 binary64) (*.f64 k (+.f64 k #s(literal 10 binary64))))))
(/.f64 (*.f64 a (pow.f64 k m)) (-.f64 #s(literal -1 binary64) (*.f64 k (+.f64 k #s(literal 10 binary64)))))
(*.f64 (pow.f64 k m) (/.f64 a (fma.f64 k (-.f64 #s(literal -10 binary64) k) #s(literal -1 binary64))))
(/.f64 (*.f64 a (pow.f64 (neg.f64 k) m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) (neg.f64 k))) (*.f64 (neg.f64 k) (neg.f64 k))))
(*.f64 a (/.f64 (pow.f64 (neg.f64 k) m) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) (neg.f64 k))) (*.f64 k k))))
(*.f64 a (/.f64 (pow.f64 (neg.f64 k) m) (fma.f64 k k (+.f64 #s(literal 1 binary64) (*.f64 k #s(literal -10 binary64))))))
(*.f64 a (/.f64 (pow.f64 (neg.f64 k) m) (+.f64 #s(literal 1 binary64) (*.f64 k (+.f64 k #s(literal -10 binary64))))))
(/.f64 (*.f64 a (pow.f64 (neg.f64 k) m)) (fma.f64 k (+.f64 k #s(literal -10 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a (pow.f64 k (neg.f64 m))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(/.f64 (*.f64 a (pow.f64 k (neg.f64 m))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 k #s(literal 10 binary64))) (*.f64 k k)))
(*.f64 a (/.f64 (pow.f64 k (neg.f64 m)) (+.f64 #s(literal 1 binary64) (*.f64 k (+.f64 #s(literal 10 binary64) k)))))
(*.f64 a (/.f64 (pow.f64 k (neg.f64 m)) (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 a) (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k))))
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 k #s(literal 10 binary64))) (*.f64 k k)))
(*.f64 a (/.f64 (pow.f64 k m) (+.f64 #s(literal 1 binary64) (*.f64 k (+.f64 #s(literal 10 binary64) k)))))
(*.f64 a (/.f64 (pow.f64 k m) (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 k m) (/.f64 a (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 a (pow.f64 (neg.f64 k) m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) (neg.f64 k))) (*.f64 (neg.f64 k) (neg.f64 k)))))
(/.f64 (*.f64 a (pow.f64 (neg.f64 k) m)) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) (neg.f64 k))) (*.f64 k k))))
(*.f64 a (/.f64 (pow.f64 (neg.f64 k) m) (neg.f64 (fma.f64 k k (+.f64 #s(literal 1 binary64) (*.f64 k #s(literal -10 binary64)))))))
(*.f64 a (/.f64 (pow.f64 (neg.f64 k) m) (-.f64 #s(literal -1 binary64) (*.f64 k (+.f64 k #s(literal -10 binary64))))))
(*.f64 (pow.f64 (neg.f64 k) m) (/.f64 a (fma.f64 k (-.f64 #s(literal 10 binary64) k) #s(literal -1 binary64))))
(*.f64 a (/.f64 (pow.f64 (neg.f64 k) m) (fma.f64 k (-.f64 #s(literal 10 binary64) k) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 a (pow.f64 k (neg.f64 m))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k))))
(/.f64 (*.f64 a (pow.f64 k (neg.f64 m))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 k #s(literal 10 binary64))) (*.f64 k k))))
(/.f64 (*.f64 a (neg.f64 (pow.f64 k (neg.f64 m)))) (+.f64 #s(literal 1 binary64) (*.f64 k (+.f64 #s(literal 10 binary64) k))))
(*.f64 (neg.f64 (pow.f64 k (neg.f64 m))) (/.f64 a (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(*.f64 a (/.f64 (pow.f64 k (neg.f64 m)) (-.f64 #s(literal -1 binary64) (*.f64 k (+.f64 k #s(literal 10 binary64))))))
(*.f64 a (/.f64 (pow.f64 k (neg.f64 m)) (fma.f64 k (-.f64 #s(literal -10 binary64) k) #s(literal -1 binary64))))
(/.f64 (*.f64 k (pow.f64 a m)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) a)) (*.f64 a a)))
(*.f64 k (/.f64 (pow.f64 a m) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 10 binary64))) (*.f64 a a))))
(*.f64 (pow.f64 a m) (/.f64 k (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 10 binary64) a)))))
(*.f64 (pow.f64 a m) (/.f64 k (fma.f64 a (+.f64 a #s(literal 10 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 k (pow.f64 a m)) (fma.f64 a (+.f64 a #s(literal 10 binary64)) #s(literal 1 binary64)))
(*.f64 k (/.f64 (pow.f64 a m) (fma.f64 a (+.f64 a #s(literal 10 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 m (pow.f64 k a)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) k)) (*.f64 k k)))
(/.f64 (*.f64 m (pow.f64 k a)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 k #s(literal 10 binary64))) (*.f64 k k)))
(*.f64 (pow.f64 k a) (/.f64 m (+.f64 #s(literal 1 binary64) (*.f64 k (+.f64 #s(literal 10 binary64) k)))))
(*.f64 (pow.f64 k a) (/.f64 m (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(*.f64 m (/.f64 (pow.f64 k a) (fma.f64 k (+.f64 k #s(literal 10 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 a (pow.f64 m k)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) m)) (*.f64 m m)))
(/.f64 (*.f64 a (pow.f64 m k)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 m #s(literal 10 binary64)) (*.f64 m m))))
(/.f64 (*.f64 a (pow.f64 m k)) (+.f64 #s(literal 1 binary64) (*.f64 m (+.f64 #s(literal 10 binary64) m))))
(*.f64 a (/.f64 (pow.f64 m k) (fma.f64 m (+.f64 m #s(literal 10 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 a (pow.f64 m k)) (fma.f64 m (+.f64 m #s(literal 10 binary64)) #s(literal 1 binary64)))
Symmetry

(negabs a)

Compiler

Compiled 55 to 26 computations (52.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
Operation ival-pow, time spent: 36.0ms, 48.0% of total-time
Operation ival-mult, time spent: 17.0ms, 23.0% of total-time
Operation ival-add, time spent: 14.0ms, 19.0% of total-time
Operation ival-div, time spent: 5.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

end0.0ms (0%)

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