ENA, Section 1.4, Exercise 4d

Time bar (total: 2.9s)

start0.0ms (0.0%)

Memory
0.2MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze10.0ms (0.3%)

Memory
35.2MiB live, 35.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%12.8%87.2%0.0%0.0%0.0%0
0.0%0.0%12.8%87.2%0.0%0.0%0.0%1
0.0%0.0%12.8%87.2%0.0%0.0%0.0%2
50.0%6.4%6.4%87.2%0.0%0.0%0.0%3
57.1%6.4%4.8%87.2%0.0%1.6%0.0%4
69.2%7.2%3.2%87.2%0.0%2.4%0.0%5
75.0%7.2%2.4%87.2%0.0%3.2%0.0%6
82.6%7.6%1.6%87.2%0.0%3.6%0.0%7
86.4%7.6%1.2%87.2%0.0%4.0%0.0%8
90.7%7.8%0.8%87.2%0.0%4.2%0.0%9
92.6%7.8%0.6%87.2%0.0%4.4%0.0%10
95.0%7.9%0.4%87.2%0.0%4.5%0.0%11
96.3%8.0%0.3%87.2%0.0%4.5%0.0%12
Compiler

Compiled 24 to 18 computations (25.0% saved)

sample1.0s (34.5%)

Memory
-7.2MiB live, 1 737.9MiB allocated; 345ms collecting garbage
Samples
300.0ms2 636×1valid
298.0ms4 912×0valid
113.0ms708×2valid
6.0ms158×0invalid
Precisions
Click to see histograms. Total time spent on operations: 371.0ms
ival-mult!: 104.0ms (28.0% of total)
ival-sqrt: 102.0ms (27.5% of total)
adjust: 100.0ms (26.9% of total)
ival-sub!: 65.0ms (17.5% of total)
Bogosity

preprocess49.0ms (1.7%)

Memory
-26.3MiB live, 90.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02150
17749
218749
337249
478549
5359249
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.7%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 16 to 12 computations (25.0% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series29.0ms (1.0%)

Memory
42.3MiB live, 88.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02891477
Stop Event
iter-limit
Counts
6 → 54
Calls
Call 1
Inputs
x
(*.f64 x x)
eps
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (* x x) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (* x x) eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 eps))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (- (* x x) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))))
#s(approx eps eps)
#s(approx (- (* x x) eps) (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 eps (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (+.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (+.f64 x (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (* x x) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 eps (-.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (/.f64 x eps)) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (- (* x x) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
Calls

6 calls:

TimeVariablePoint
2.0ms
x
inf
1.0ms
eps
inf
1.0ms
x
0
1.0ms
x
-inf
1.0ms
eps
-inf

rewrite160.0ms (5.4%)

Memory
14.1MiB live, 291.3MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0624
01024
15924
215824
346024
488224
5336924
0494924
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 271
Calls
Call 1
Inputs
x
(*.f64 x x)
eps
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Outputs
x
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (fabs.f64 x) x) x)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fabs.f64 x) (neg.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fabs.f64 x) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/4 binary64)))
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(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 0 binary64)))
(pow.f64 (*.f64 (*.f64 (-.f64 eps (*.f64 x x)) (-.f64 eps (*.f64 x x))) (*.f64 (-.f64 eps (*.f64 x x)) (-.f64 eps (*.f64 x x)))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (-.f64 eps (*.f64 x x)) (-.f64 eps (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 eps (*.f64 x x)) (-.f64 eps (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (-.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x)))
(/.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
(/.f64 (-.f64 (*.f64 (-.f64 eps (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (*.f64 (neg.f64 x) x) x)) (+.f64 (-.f64 (*.f64 x x) eps) (+.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x)))))
(/.f64 (+.f64 (*.f64 (-.f64 eps (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (*.f64 x x) x)) (+.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (*.f64 (-.f64 eps (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps))) (+.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))

eval44.0ms (1.5%)

Memory
-22.0MiB live, 119.2MiB allocated; 19ms collecting garbage
Compiler

Compiled 7 129 to 1 532 computations (78.5% saved)

prune12.0ms (0.4%)

Memory
3.8MiB live, 47.0MiB allocated; 5ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New31010320
Fresh000
Picked101
Done-110
Total31011321
Accuracy
99.5%
Counts
321 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps))) (+.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
65.3%
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
65.7%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
65.6%
(-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps))))
60.5%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
65.6%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
65.7%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
38.3%
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x))
3.5%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
40.8%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
60.2%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
Compiler

Compiled 378 to 224 computations (40.7% saved)

sample0.0ms (0.0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
1/2
-1
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series150.0ms (5.1%)

Memory
15.4MiB live, 281.1MiB allocated; 114ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08536629
Stop Event
iter-limit
Counts
32 → 171
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
eps
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
#s(literal 1/2 binary64)
(/.f64 eps x)
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
(neg.f64 eps)
(/.f64 (*.f64 x x) (neg.f64 eps))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps)))
(-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps))))
#s(literal -1 binary64)
(/.f64 x eps)
(*.f64 #s(literal -1 binary64) (/.f64 x eps))
(/.f64 #s(literal -1 binary64) eps)
(sqrt.f64 (/.f64 #s(literal -1 binary64) eps))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (* x x) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (* x x) eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 eps))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))
#s(approx (neg (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
#s(approx (neg (sqrt (- (* x x) eps))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (neg.f64 eps))))
#s(approx (neg (sqrt (- (* x x) eps))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (neg (sqrt (- (* x x) eps))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))
#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))
#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))
#s(approx (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))))
#s(approx (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))
#s(approx (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (+.f64 x (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps)))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (/ eps x) (/.f64 eps x))
#s(approx (* 1/2 (/ eps x)) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (/ (* x x) (neg eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
#s(approx (+ 1 (/ (* x x) (neg eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
#s(approx (* (+ 1 (/ (* x x) (neg eps))) (neg eps)) (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (* (+ 1 (/ (* x x) (neg eps))) (neg eps))) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)))
#s(approx (sqrt (* (+ 1 (/ (* x x) (neg eps))) (neg eps))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (sqrt (* (+ 1 (/ (* x x) (neg eps))) (neg eps))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps))))))))
#s(approx (sqrt (* (+ 1 (/ (* x x) (neg eps))) (neg eps))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps))))))))
#s(approx (- x (sqrt (* (+ 1 (/ (* x x) (neg eps))) (neg eps)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps))))
#s(approx (- x (sqrt (* (+ 1 (/ (* x x) (neg eps))) (neg eps)))) (-.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) eps))))
#s(approx (- x (sqrt (* (+ 1 (/ (* x x) (neg eps))) (neg eps)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps))))
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#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (pow.f64 x #s(literal 6 binary64)))))) #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))))
#s(approx (- (* -1 (/ x eps)) (sqrt (/ -1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x)))))
#s(approx (* eps (- (* -1 (/ x eps)) (sqrt (/ -1 eps)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) x)))))
#s(approx (* -1 (* eps (- (* -1 (/ x eps)) (sqrt (/ -1 eps))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) x)) #s(literal 1 binary64)))))
#s(approx eps eps)
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (neg (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (neg (sqrt (- (* x x) eps))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (neg (sqrt (- (* x x) eps))) (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (neg (sqrt (- (* x x) eps))) (-.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))
#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))))))
#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))))))))))
#s(approx (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
#s(approx (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))))))))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))))))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 eps (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (+.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (+.f64 x (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (/ (* x x) (neg eps))) (/.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) eps))
#s(approx (/ -1 eps) (/.f64 #s(literal -1 binary64) eps))
#s(approx (sqrt (/ -1 eps)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)) eps))
#s(approx (- (* -1 (/ x eps)) (sqrt (/ -1 eps))) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps))) eps))
#s(approx (* eps (- (* -1 (/ x eps)) (sqrt (/ -1 eps)))) (-.f64 (*.f64 #s(literal -1 binary64) x) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps))))
#s(approx (* -1 (* eps (- (* -1 (/ x eps)) (sqrt (/ -1 eps))))) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) x) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (- (* x x) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64))))
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#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
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#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 eps (-.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
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#s(approx (sqrt (/ -1 eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
#s(approx (* eps (- (* -1 (/ x eps)) (sqrt (/ -1 eps)))) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))
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#s(approx (neg (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
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#s(approx (/ x (neg (sqrt (- (* x x) eps)))) (/.f64 x (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
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#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) eps))))))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))) eps))) eps))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (* eps (- (* -1 (/ x eps)) (sqrt (/ -1 eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)))))
Calls

6 calls:

TimeVariablePoint
18.0ms
x
-inf
15.0ms
x
inf
14.0ms
eps
-inf
6.0ms
eps
inf
6.0ms
x
0

rewrite183.0ms (6.2%)

Memory
12.8MiB live, 521.4MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036230
059196
1248188
2897188
33387182
04032182
Stop Event
iter-limit
node-limit
iter-limit
Counts
32 → 897
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
eps
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
#s(literal 1/2 binary64)
(/.f64 eps x)
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
(neg.f64 eps)
(/.f64 (*.f64 x x) (neg.f64 eps))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps)))
(-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps))))
#s(literal -1 binary64)
(/.f64 x eps)
(*.f64 #s(literal -1 binary64) (/.f64 x eps))
(/.f64 #s(literal -1 binary64) eps)
(sqrt.f64 (/.f64 #s(literal -1 binary64) eps))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
Outputs
#s(literal 1 binary64)
x
(*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 (neg.f64 eps) (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fabs.f64 x) (neg.f64 eps)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 eps) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (pow.f64 (/.f64 x (neg.f64 eps)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x eps)) eps) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 eps) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 eps) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps))
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (neg.f64 eps)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (neg.f64 eps)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 eps (*.f64 (neg.f64 x) (/.f64 x eps))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 eps) (fabs.f64 x)) (/.f64 (fabs.f64 x) (neg.f64 eps)))
(*.f64 (*.f64 (neg.f64 eps) (neg.f64 x)) (/.f64 x eps))
(*.f64 (*.f64 (neg.f64 eps) x) (/.f64 x (neg.f64 eps)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x eps)) eps) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 eps) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (*.f64 (neg.f64 eps) (*.f64 x x)) (/.f64 #s(literal -1 binary64) eps))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x eps)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (fabs.f64 x) (neg.f64 eps)) (neg.f64 eps)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 x eps) x) eps)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) eps) (neg.f64 eps)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (*.f64 (/.f64 (fabs.f64 x) (neg.f64 eps)) (neg.f64 eps)))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) eps) (pow.f64 (*.f64 (*.f64 x x) (neg.f64 eps)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 x x) (neg.f64 eps)))
(*.f64 (/.f64 x (neg.f64 eps)) (*.f64 x (neg.f64 eps)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (neg.f64 x) (/.f64 x eps))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) (/.f64 x eps)) (pow.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) (/.f64 x eps)) (neg.f64 eps))
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 x) (/.f64 x eps)))
(*.f64 eps (*.f64 (/.f64 x eps) x))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 eps)) eps)
(/.f64 (*.f64 (*.f64 x x) (neg.f64 eps)) (neg.f64 eps))
(/.f64 (*.f64 (neg.f64 eps) (*.f64 (neg.f64 x) x)) eps)
(/.f64 (*.f64 (neg.f64 eps) (*.f64 x x)) (neg.f64 eps))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 eps (neg.f64 eps))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (neg.f64 eps) eps)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 eps) (*.f64 (/.f64 x eps) x)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x eps)) eps))
(neg.f64 (*.f64 eps (*.f64 (neg.f64 x) (/.f64 x eps))))
(neg.f64 (*.f64 (*.f64 (/.f64 x eps) x) (neg.f64 eps)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
eps
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 0 binary64)) (-.f64 (*.f64 x x) eps))
(*.f64 (pow.f64 (*.f64 (-.f64 eps (*.f64 x x)) eps) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps))
(*.f64 (pow.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 eps) eps) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 eps) eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x (neg.f64 eps)))) (/.f64 x (neg.f64 eps)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) (*.f64 (/.f64 x (neg.f64 eps)) (/.f64 x (neg.f64 eps)))) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (/.f64 x (neg.f64 eps))))
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(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) x) (neg.f64 eps))
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(/.f64 (-.f64 (*.f64 (/.f64 x (neg.f64 eps)) (/.f64 x (neg.f64 eps))) (/.f64 #s(literal -1 binary64) eps)) (-.f64 (/.f64 x (neg.f64 eps)) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (/.f64 x (neg.f64 eps)) (/.f64 x (neg.f64 eps))) (/.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 x (neg.f64 eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
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(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (/.f64 x eps))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps)) (neg.f64 x))) (neg.f64 x))
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(*.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps))))
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(*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) x)))
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(neg.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) x))
(-.f64 (neg.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps))
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(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)) (neg.f64 x))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps)) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps)))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) x)) x)
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(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps)) (*.f64 x x)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) (neg.f64 x)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) (neg.f64 x)))))
(neg.f64 (neg.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) x)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) (neg.f64 x))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps)))
(-.f64 x (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) x)
(+.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) x))

eval218.0ms (7.4%)

Memory
45.9MiB live, 420.9MiB allocated; 151ms collecting garbage
Compiler

Compiled 30 854 to 5 721 computations (81.5% saved)

prune27.0ms (0.9%)

Memory
-19.7MiB live, 76.6MiB allocated; 5ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 00791 016
Fresh055
Picked505
Done-231
Total1 010171 027
Accuracy
99.5%
Counts
1 027 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps))) (+.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
65.3%
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
65.2%
(/.f64 (+.f64 (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (*.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
65.7%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
65.6%
(-.f64 x (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) x)) (neg.f64 eps))))
65.6%
(-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps))))
60.5%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
65.7%
(*.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
65.6%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
65.5%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
65.5%
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
38.3%
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x))
3.5%
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
40.7%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
60.2%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps))
40.8%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
38.9%
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
Compiler

Compiled 710 to 372 computations (47.6% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series98.0ms (3.3%)

Memory
-8.2MiB live, 228.1MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139412139
Stop Event
iter-limit
Counts
25 → 264
Calls
Call 1
Inputs
x
(*.f64 x x)
eps
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
#s(literal 1 binary64)
(-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x x)
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
(-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
#s(literal -1 binary64)
(neg.f64 x)
(/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (* x x) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (* x x) eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 eps))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))
#s(approx (/ x (sqrt (- (* x x) eps))) (/.f64 x (sqrt.f64 (neg.f64 eps))))
#s(approx (/ x (sqrt (- (* x x) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))
#s(approx (/ x (sqrt (- (* x x) eps))) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))
#s(approx (/ x (sqrt (- (* x x) eps))) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))
#s(approx (- (/ x (sqrt (- (* x x) eps))) 1) #s(literal -1 binary64))
#s(approx (- (/ x (sqrt (- (* x x) eps))) 1) (-.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) #s(literal 1 binary64)))
#s(approx (- (/ x (sqrt (- (* x x) eps))) 1) (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))) #s(literal 1 binary64)))
#s(approx (- (/ x (sqrt (- (* x x) eps))) 1) (-.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))) #s(literal 1 binary64)))
#s(approx (* (- (/ x (sqrt (- (* x x) eps))) 1) (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
#s(approx (* (- (/ x (sqrt (- (* x x) eps))) 1) (sqrt (- (* x x) eps))) (+.f64 x (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps)))))
#s(approx (* (- (/ x (sqrt (- (* x x) eps))) 1) (sqrt (- (* x x) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))))))
#s(approx (* (- (/ x (sqrt (- (* x x) eps))) 1) (sqrt (- (* x x) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (/ (sqrt (- (* x x) eps)) x) (/.f64 (sqrt.f64 (neg.f64 eps)) x))
#s(approx (/ (sqrt (- (* x x) eps)) x) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 eps))))) x))
#s(approx (/ (sqrt (- (* x x) eps)) x) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))) x))
#s(approx (/ (sqrt (- (* x x) eps)) x) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))) x))
#s(approx (- 1 (/ (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 eps)) x)))
#s(approx (- 1 (/ (sqrt (- (* x x) eps)) x)) (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) x))
#s(approx (- 1 (/ (sqrt (- (* x x) eps)) x)) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))) x))
#s(approx (- 1 (/ (sqrt (- (* x x) eps)) x)) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))) (sqrt.f64 (neg.f64 eps))) x))
#s(approx (- (* x x) (- (* x x) eps)) eps)
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (neg.f64 eps))))
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps x) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64)))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64))))))) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 eps)))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 4 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64))))))) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (/ (neg x) (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ (neg x) (sqrt (- (* x x) eps))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))
#s(approx (/ (neg x) (sqrt (- (* x x) eps))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))
#s(approx (/ (neg x) (sqrt (- (* x x) eps))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))
#s(approx (* (- 1 (/ -1 (/ (neg x) (sqrt (- (* x x) eps))))) (/ (neg x) (sqrt (- (* x x) eps)))) #s(literal 1 binary64))
#s(approx (* (- 1 (/ -1 (/ (neg x) (sqrt (- (* x x) eps))))) (/ (neg x) (sqrt (- (* x x) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))))
#s(approx (* (- 1 (/ -1 (/ (neg x) (sqrt (- (* x x) eps))))) (/ (neg x) (sqrt (- (* x x) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))
#s(approx (* (- 1 (/ -1 (/ (neg x) (sqrt (- (* x x) eps))))) (/ (neg x) (sqrt (- (* x x) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))
#s(approx (neg (sqrt (- (* x x) eps))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (neg.f64 eps))))
#s(approx (neg (sqrt (- (* x x) eps))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (neg (sqrt (- (* x x) eps))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (- (* x x) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
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#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
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#s(approx (/ x (sqrt (- (* x x) eps))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ x (sqrt (- (* x x) eps))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (- (/ x (sqrt (- (* x x) eps))) 1) (-.f64 (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (- (/ x (sqrt (- (* x x) eps))) 1) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
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#s(approx (* (- (/ x (sqrt (- (* x x) eps))) 1) (sqrt (- (* x x) eps))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (- (/ x (sqrt (- (* x x) eps))) 1) (sqrt (- (* x x) eps))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
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#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 eps (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (+.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (+.f64 x (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- (* x x) eps)) x) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (/ (sqrt (- (* x x) eps)) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))
#s(approx (/ (sqrt (- (* x x) eps)) x) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 eps (*.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))
#s(approx (/ (sqrt (- (* x x) eps)) x) (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 eps (*.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))
#s(approx (- 1 (/ (sqrt (- (* x x) eps)) x)) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))
#s(approx (- 1 (/ (sqrt (- (* x x) eps)) x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))
#s(approx (- 1 (/ (sqrt (- (* x x) eps)) x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))
#s(approx (- 1 (/ (sqrt (- (* x x) eps)) x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (*.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))
#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x))))
#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))))
#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))))
#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))))
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.f64 eps (+.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (neg (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (neg (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (neg (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 5 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))))))
Calls

6 calls:

TimeVariablePoint
11.0ms
x
inf
7.0ms
eps
0
7.0ms
eps
-inf
4.0ms
eps
inf
4.0ms
x
-inf

rewrite339.0ms (11.5%)

Memory
34.5MiB live, 697.4MiB allocated; 201ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029229
049202
1242190
2976162
04102158
Stop Event
iter-limit
node-limit
iter-limit
Counts
25 → 1 597
Calls
Call 1
Inputs
x
(*.f64 x x)
eps
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
#s(literal 1 binary64)
(-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x x)
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
(-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
#s(literal -1 binary64)
(neg.f64 x)
(/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Outputs
x
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
eps
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 eps)) (*.f64 x x))) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) (*.f64 x x))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(pow.f64 (*.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (neg.f64 eps) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))) (+.f64 (*.f64 x x) (neg.f64 (neg.f64 eps))))
(/.f64 (+.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (neg.f64 eps) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps))) (*.f64 (*.f64 x x) (neg.f64 (neg.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (*.f64 x x) (neg.f64 eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 (*.f64 x x) (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps eps)) (+.f64 (*.f64 x x) eps))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) eps))))
(neg.f64 (-.f64 eps (*.f64 x x)))
(-.f64 (neg.f64 eps) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))))
(-.f64 (neg.f64 eps) (*.f64 x (neg.f64 x)))
(-.f64 (neg.f64 eps) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (neg.f64 eps) (*.f64 (neg.f64 x) x))
(-.f64 (neg.f64 eps) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x x) (neg.f64 (neg.f64 eps)))
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (*.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (-.f64 (*.f64 x x) eps))
(+.f64 (neg.f64 eps) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 (neg.f64 (neg.f64 eps))))
(+.f64 (*.f64 x x) (neg.f64 eps))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(*.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 x (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) x) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x x) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
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(/.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
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(/.f64 (neg.f64 (*.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (*.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) x)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (/.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 (*.f64 x x) eps)) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (*.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (-.f64 #s(literal 0 binary64) eps) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 (*.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 (*.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 #s(literal 0 binary64) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 eps #s(literal 0 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64)) x))
(neg.f64 (*.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 (+.f64 eps (*.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64)))
(-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (neg.f64 (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (neg.f64 eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 (/.f64 (-.f64 eps (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 #s(literal -1 binary64) x))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x))))
(-.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x))
(-.f64 x (neg.f64 (*.f64 x (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)))))
(-.f64 x (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) x)))
(-.f64 x (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1 binary64)))
(-.f64 x (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(+.f64 (/.f64 (-.f64 eps (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(+.f64 (/.f64 (-.f64 eps (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 eps (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(+.f64 x (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 x (*.f64 x (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x))))
(+.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) x))
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))

eval202.0ms (6.9%)

Memory
11.2MiB live, 437.8MiB allocated; 118ms collecting garbage
Compiler

Compiled 52 351 to 5 781 computations (89.0% saved)

prune28.0ms (0.9%)

Memory
-6.6MiB live, 98.1MiB allocated; 7ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 40731 410
Fresh639
Picked505
Done-143
Total1 417101 427
Accuracy
100.0%
Counts
1 427 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
65.7%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
60.5%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 eps #s(literal 0 binary64)))
65.6%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
38.3%
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x))
3.5%
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
40.7%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
60.2%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps))
40.8%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
Compiler

Compiled 252 to 175 computations (30.6% saved)

sample0.0ms (0.0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
-1
1
0
Outputs
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series45.0ms (1.5%)

Memory
-3.9MiB live, 89.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07264904
Stop Event
iter-limit
Counts
29 → 132
Calls
Call 1
Inputs
x
eps
#s(approx (- (* x x) (- (* x x) eps)) eps)
(*.f64 x x)
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 eps)
(sqrt.f64 (neg.f64 eps))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) eps)
(sqrt.f64 (/.f64 #s(literal -1 binary64) eps))
(/.f64 x eps)
(+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(literal 0 binary64)
(-.f64 eps #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 eps #s(literal 0 binary64)))
Outputs
#s(approx x x)
#s(approx (- (* x x) (- (* x x) eps)) eps)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (* x x) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (* x x) eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 eps))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))
#s(approx (sqrt (- (* x x) eps)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (neg.f64 eps))))
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps x) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64)))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64))))))) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 eps)))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 4 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64))))))) (/.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))) (sqrt.f64 (neg.f64 eps))))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1/2 x) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (/ x eps) (/.f64 x eps))
#s(approx (+ (sqrt (/ -1 eps)) (/ x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
#s(approx (+ (sqrt (/ -1 eps)) (/ x eps)) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)))
#s(approx (* (+ (sqrt (/ -1 eps)) (/ x eps)) eps) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (* (+ (sqrt (/ -1 eps)) (/ x eps)) eps) (+.f64 x (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))
#s(approx (- (* x x) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x))
#s(approx (+ (sqrt (/ -1 eps)) (/ x eps)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x))))
#s(approx (* (+ (sqrt (/ -1 eps)) (/ x eps)) eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) x))))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x)))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) eps)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))))
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#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 eps (-.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (/.f64 x eps)) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (/.f64 #s(literal 1 binary64) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) eps))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) eps))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))) eps))
#s(approx (- (* x x) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (sqrt (- (* x x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) eps))))))
#s(approx (+ x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))) eps))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) eps)) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (+ (sqrt (/ -1 eps)) (/ x eps)) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (/.f64 #s(literal -1 binary64) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) eps)))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (/.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) eps)))
#s(approx (/ 1 (+ (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) eps)) (/.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) eps)))
Calls

6 calls:

TimeVariablePoint
3.0ms
x
0
3.0ms
x
-inf
2.0ms
eps
-inf
2.0ms
x
inf
2.0ms
eps
0

rewrite111.0ms (3.8%)

Memory
-17.2MiB live, 218.6MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034190
056186
1252168
2828168
04369166
Stop Event
iter-limit
node-limit
iter-limit
Counts
29 → 517
Calls
Call 1
Inputs
x
eps
#s(approx (- (* x x) (- (* x x) eps)) eps)
(*.f64 x x)
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 eps)
(sqrt.f64 (neg.f64 eps))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) eps)
(sqrt.f64 (/.f64 #s(literal -1 binary64) eps))
(/.f64 x eps)
(+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(literal 0 binary64)
(-.f64 eps #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 eps #s(literal 0 binary64)))
Outputs
x
eps
(*.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(literal 1 binary64))
#s(approx (- (* x x) (- (* x x) eps)) eps)
(/.f64 (*.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)))
(+.f64 (*.f64 #s(literal 1 binary64) #s(approx (- (* x x) (- (* x x) eps)) eps)) (*.f64 #s(literal 0 binary64) #s(approx (- (* x x) (- (* x x) eps)) eps)))
(+.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (*.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(literal 0 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 0 binary64))
#s(literal 0 binary64)
eps
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (neg.f64 eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) x)
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps)
(*.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))
(*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 0 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 eps)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (neg.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) eps))
(/.f64 (neg.f64 eps) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 eps (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))
(neg.f64 (*.f64 eps (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (/.f64 (-.f64 (*.f64 x x) eps) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 (+.f64 eps (*.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 0 binary64)))
(-.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 0 binary64))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 eps (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 eps (*.f64 x x))))
(+.f64 (*.f64 (-.f64 eps (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (*.f64 (-.f64 eps (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(+.f64 (/.f64 (-.f64 (*.f64 x x) eps) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(+.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 (-.f64 (neg.f64 eps) (*.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(+.f64 (/.f64 (-.f64 eps (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 eps (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 0 binary64))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))

eval70.0ms (2.4%)

Memory
5.9MiB live, 145.0MiB allocated; 14ms collecting garbage
Compiler

Compiled 19 801 to 3 071 computations (84.5% saved)

prune16.0ms (0.5%)

Memory
-5.0MiB live, 41.3MiB allocated; 3ms collecting garbage
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New7103713
Fresh101
Picked505
Done-484
Total71211723
Accuracy
100.0%
Counts
723 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
63.4%
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) (*.f64 x x)))))
99.4%
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x))
65.7%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
60.5%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(approx (- (* x x) (- (* x x) eps)) eps))
65.6%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
3.5%
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
40.7%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
60.2%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps))
40.8%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
Compiler

Compiled 183 to 117 computations (36.1% saved)

regimes63.0ms (2.1%)

Memory
5.4MiB live, 109.8MiB allocated; 29ms collecting garbage
Counts
2 → 1
3 → 1
5 → 2
6 → 2
26 → 1
Calls
Call 1
Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
Outputs
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
Call 2
Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
Outputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
Call 3
Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
Outputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
Call 4
Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
Call 5
Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(approx (- (* x x) (- (* x x) eps)) eps))
(-.f64 x (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) x)) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 eps #s(literal 0 binary64)))
(-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 eps))) (neg.f64 eps))))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x))
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) (*.f64 x x)))))
(*.f64 (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (+.f64 (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (*.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps))) (+.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x))
#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
Outputs
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Calls

13 calls:

19.0ms
x
7.0ms
eps
7.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
4.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
3.0ms
eps
Results
AccuracySegmentsBranch
3.5%1(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
3.5%1x
3.5%1eps
60.5%1eps
60.5%1x
60.5%1(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
96.2%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
97.6%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
88.3%2x
79.4%2eps
99.4%1(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
99.4%1x
99.4%1eps
Compiler

Compiled 605 to 178 computations (70.6% saved)

bsearch0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.711920572087031e-155
0.0
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.711920572087031e-155
0.0
Compiler

Compiled 18 to 15 computations (16.7% saved)

derivations34.0ms (1.2%)

Memory
9.0MiB live, 54.5MiB allocated; 8ms collecting garbage
Stop Event
fuel
Compiler

Compiled 114 to 28 computations (75.4% saved)

preprocess38.0ms (1.3%)

Memory
-24.7MiB live, 72.8MiB allocated; 19ms collecting garbage
Compiler

Compiled 122 to 34 computations (72.1% saved)

end0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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