sqrt sqr

Time bar (total: 8.3s)

analyze2.0ms (0%)

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
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample8.1s (97.7%)

Results
625.0ms4165×0valid
153.0ms4164×0valid-sollya
1.9s4091×2valid
144.0ms4089×2valid-sollya
0.0ms2×2exit-sollya
0.0ms1×0exit-sollya
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(86454847245.30418)-0.0(-2.168404344971009e-19 1.0842021724855044e-19)+nan.0validexit20.201719#f
(-1.4900421942597955e-294)2.0(2.0 2.0)+nan.0validexit00.160801#f
(4.716085251381496e-59)-0.0(-2.168404344971009e-19 1.0842021724855044e-19)+nan.0validexit20.14782#f
Sollya timings
Total time spent in Sollya 298.0ms
Bogosity

preprocess119.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
85×fma-define
67×fma-neg
22×distribute-lft-neg-in
19×cancel-sign-sub-inv
19×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021128
16992
214192
325892
441292
553992
657492
758492
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x))))))
Outputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x))))
(-.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x))
Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×neg-mul-1
11×unsub-neg
6×distribute-lft-neg-in
6×sub-neg
6×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
12450
23950
34950
45950
58050
610850
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Outputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(+.f64 (/.f64 x x) (*.f64 (sqrt.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 13 to 8 computations (38.5% saved)

preprocess63.0ms (0.8%)

Compiler

Compiled 66 to 42 computations (36.4% saved)

end0.0ms (0%)

Profiling

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