Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze30.0ms (0.7%)

Memory

-30.5MiB live, 15.1MiB allocated; 14ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.8%	87.2%	0%	0%	0%	0
0%	0%	12.8%	87.2%	0%	0%	0%	1
0%	0%	12.8%	87.2%	0%	0%	0%	2
50%	6.4%	6.4%	87.2%	0%	0%	0%	3
57.1%	6.4%	4.8%	87.2%	0%	1.6%	0%	4
69.2%	7.2%	3.2%	87.2%	0%	2.4%	0%	5
75%	7.2%	2.4%	87.2%	0%	3.2%	0%	6
82.6%	7.6%	1.6%	87.2%	0%	3.6%	0%	7
86.4%	7.6%	1.2%	87.2%	0%	4%	0%	8
90.7%	7.8%	0.8%	87.2%	0%	4.2%	0%	9
92.6%	7.8%	0.6%	87.2%	0%	4.4%	0%	10
95%	7.9%	0.4%	87.2%	0%	4.5%	0%	11
96.3%	8%	0.3%	87.2%	0%	4.5%	0%	12

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.1s (25.5%)

Memory

46.0MiB live, 847.0MiB allocated; 288ms collecting garbage

Samples

342.0ms	2 672×	1	valid
335.0ms	4 877×	0	valid
131.0ms	707×	2	valid
9.0ms	171×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-sqrt: 158.0ms (33.6% of total)

ival-mult!: 139.0ms (29.6% of total)

adjust: 101.0ms (21.5% of total)

ival-sub!: 71.0ms (15.1% of total)

Bogosity

preprocess58.0ms (1.3%)

Memory

-11.5MiB live, 32.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	121	52
2	958	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Symmetry

(abs x)

(abs eps)

Compiler

Compiled 16 to 12 computations (25% saved)

series137.0ms (3%)

Memory

-19.7MiB live, 78.6MiB allocated; 52ms collecting garbage

Counts

6 → 54

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
x
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
eps

Outputs
#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)
#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)) (fma.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)) (fma.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 x) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (* x x) eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))
#s(approx (* x x) (pow.f64 x #s(literal 2 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)))) (fma.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 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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 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) (fma.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) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.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) 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 (- 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) (fma.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) 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) (fma.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) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.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 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 (fma.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 (fma.f64 eps (fma.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)) (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 x) eps) (fma.f64 #s(literal -1 binary64) eps (pow.f64 x #s(literal 2 binary64))))
#s(approx eps 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 (fma.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 (fma.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 (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)) (fma.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)) (fma.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)))) (fma.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 x) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64))))
#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 (- (* 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)) (fma.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)) (fma.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)))) (fma.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 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))))))

Calls

6 calls:

Time	Variable	Point
2.0ms	x	inf
1.0ms	eps	inf
1.0ms	x	0
1.0ms	x	-inf
1.0ms	eps	-inf

rewrite157.0ms (3.5%)

Memory

28.7MiB live, 121.0MiB allocated; 11ms collecting garbage

Counts

6 → 23

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
x
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
eps

Outputs
(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (fabs.f64 x)) (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) (/.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
x
(neg.f64 (neg.f64 x))
(.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 (fabs.f64 (pow.f64 (-.f64 (.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (-.f64 (*.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))
(.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 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 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (fma.f64 x x eps) (/.f64 (-.f64 (.f64 x x) eps) (fma.f64 x x eps)))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (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 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (fma.f64 x x eps)) (.f64 (-.f64 (.f64 x x) eps) (fma.f64 x x eps))) (-.f64 (.f64 x x) eps))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (fma.f64 x x eps)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 eps eps) eps))) (fma.f64 (fma.f64 x x eps) eps (.f64 (.f64 x x) (.f64 x x))))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (fabs.f64 x) x)
(*.f64 (fabs.f64 x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
eps

eval8.0ms (0.2%)

Memory: 13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 984 to 413 computations (79.2% saved)

prune29.0ms (0.6%)

Memory

-45.5MiB live, 12.8MiB allocated; 39ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	9	75

Accuracy

99.8%

Counts

75 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	0.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	2.7%	(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
▶	13.7%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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))
	23.8%	#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))
	19.7%	#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)))) (fma.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))
▶	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
▶	24.2%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
▶	0.0%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 414 to 260 computations (37.2% saved)

series855.0ms (19%)

Memory

31.6MiB live, 880.8MiB allocated; 319ms collecting garbage

Counts

51 → 240

Calls

Call 1

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
#s(literal 1/2 binary64)
(/.f64 eps x)
eps
x
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps)))
#s(literal -1 binary64)
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x)))
(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))
(*.f64 x x)
(-.f64 (*.f64 x x) eps)
(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(.f64 (.f64 x x) x)
(-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 x x (-.f64 (*.f64 x x) eps))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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)
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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)))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.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 (fma.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)))
(fma.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))))
#s(literal 1/64 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))
#s(literal 1/16 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal -1/2 binary64) eps (fma.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))))))
#s(literal -1/2 binary64)
(fma.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)))))
#s(literal -1/8 binary64)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(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))))
#s(literal -1/16 binary64)
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x #s(literal 4 binary64))

Outputs
#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 (/ eps x)) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (/ eps x) (/.f64 eps x))
#s(approx x x)
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (+.f64 x (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps))))) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps))))) (.f64 eps (sqrt.f64 (neg.f64 eps))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps))))) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.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) (*.f64 eps (sqrt.f64 (neg.f64 eps)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 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) (.f64 eps (sqrt.f64 (neg.f64 eps)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64))) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps))))) (-.f64 (.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) (.f64 eps (sqrt.f64 (neg.f64 eps)))))) (.f64 eps (sqrt.f64 (neg.f64 eps)))) (fma.f64 #s(literal 1/8 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) (.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64))))))))) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (sqrt.f64 (neg.f64 eps)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))
#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)) (- (* x x) eps)) (* (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (fma.f64 #s(literal -1 binary64) (.f64 eps (sqrt.f64 (neg.f64 eps))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps))))))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (fma.f64 #s(literal -1 binary64) (.f64 eps (sqrt.f64 (neg.f64 eps))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (+.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (fma.f64 #s(literal -1 binary64) (.f64 eps (sqrt.f64 (neg.f64 eps))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (neg.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (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)) (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)) (fma.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)) (fma.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 x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (neg.f64 eps)))) eps))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (-.f64 (.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (neg.f64 eps)))) eps))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (-.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps)))) eps))
#s(approx (+ (* x x) (- (* x x) eps)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) eps))
#s(approx (* (sqrt (- (* x x) eps)) x) (*.f64 x (sqrt.f64 (neg.f64 eps))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 x (+.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)) x) (.f64 x (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.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)) x) (.f64 x (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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 7 binary64)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (fma.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 7 binary64))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (fma.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))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (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 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #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) (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))))
#s(approx (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)) (/.f64 (fma.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))))
#s(approx (pow x 6) (pow.f64 x #s(literal 6 binary64)))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (/.f64 (fma.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) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (pow eps 2) (pow x 2)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (pow eps 3) (pow x 4)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#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)))) (fma.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 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (fma.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))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.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 1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 x #s(literal 4 binary64))))))) x))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.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)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.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))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 eps (fma.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))))) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))))))) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 x #s(literal 6 binary64)))))))))) x))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 eps (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.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 1/2 binary64) eps)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.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)))))))) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (fma.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)))))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.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))))))) (pow.f64 x #s(literal 3 binary64))))
#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)) (- (* x x) eps)) (* (* x x) x)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 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 #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) (fma.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) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.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)) (* (sqrt (- (* x x) eps)) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* x x) (- (* x x) eps)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* x x) (- (* x x) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.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)) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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))))))) x))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (-.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)))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.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)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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))))))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (fma.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))))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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)))))))
#s(approx (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) (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 1/2 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) (fma.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 x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -3 binary64) (/.f64 (.f64 eps x) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))))))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))))))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (fma.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)))) (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (/.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) eps)))))))))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (fma.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))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (/.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) x)))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (pow.f64 (fma.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)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64))) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (/.f64 (.f64 eps (fma.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))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))))) x)))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (.f64 (fma.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)))) (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (pow.f64 (fma.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)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64))) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (fma.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))))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))) (/.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (fma.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)))) (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (pow.f64 (fma.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)))) #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 eps (fma.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))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))))))) x)))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal -1/2 binary64) eps (fma.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) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.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))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))))))
#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) (fma.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) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.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)) (* (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (sqrt (- (* x x) eps)) x) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.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))) (fma.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 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 (fma.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 (fma.f64 eps (fma.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 (sqrt (neg eps))) (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 #s(literal -1 binary64) eps))))
#s(approx (sqrt (neg eps)) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 eps (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))) (/.f64 (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 eps (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))) (/.f64 (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 eps (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (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 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))) (/.f64 (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 eps (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 eps (fma.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 eps (fma.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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))))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (- (* x x) eps) (fma.f64 #s(literal -1 binary64) eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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))))))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (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))))))))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 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 x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (-.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (-.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps 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 3 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* x x) (- (* x x) eps)) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (sqrt (- (* x x) eps)) x) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (sqrt (- (* x x) eps)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (sqrt (- (* x x) eps)) x) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/8 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(approx (* (sqrt (- (* x x) eps)) x) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (*.f64 #s(literal 5/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)) (*.f64 #s(literal 5/64 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (*.f64 #s(literal 5/64 binary64) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (pow eps 4) (pow.f64 eps #s(literal 4 binary64)))
#s(approx (* 1/16 (pow eps 4)) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (pow eps 3) (pow.f64 eps #s(literal 3 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 (fma.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 (fma.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 (sqrt (neg eps)) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (-.f64 (+.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (-.f64 (+.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (-.f64 (+.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.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 2 binary64)))) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 #s(literal -1 binary64) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) eps))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) eps))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (fma.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))))) eps))
#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)) (- (* x x) eps)) (* (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (fma.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 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (fma.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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))))))))
#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)) (fma.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)) (fma.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)))) (fma.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 x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 eps (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 5 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 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))))
#s(approx (+ (* x x) (- (* x x) eps)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 1 binary64))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 eps (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (*.f64 #s(literal 5/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x)) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 4 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 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#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 (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 2 binary64)))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))) eps))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.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 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.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 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))) eps))) eps) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) eps)))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) eps)))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) 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)) (- (* x x) eps)) (* (* x x) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) eps)))))
#s(approx (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) 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)) (fma.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)) (fma.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)))) (fma.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 x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps))) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 5 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 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps))) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (+ (* x x) (- (* x x) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))))
#s(approx (* (sqrt (- (* x x) eps)) x) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) eps) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) eps) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))))

Calls

6 calls:

Time	Variable	Point
38.0ms	eps	inf
25.0ms	x	-inf
22.0ms	eps	0
14.0ms	eps	-inf
9.0ms	x	0

rewrite466.0ms (10.3%)

Memory

15.5MiB live, 448.7MiB allocated; 127ms collecting garbage

Counts

51 → 201

Calls

Call 1

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
#s(literal 1/2 binary64)
(/.f64 eps x)
eps
x
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps)))
#s(literal -1 binary64)
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x)))
(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))
(*.f64 x x)
(-.f64 (*.f64 x x) eps)
(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(.f64 (.f64 x x) x)
(-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 x x (-.f64 (*.f64 x x) eps))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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)
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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)))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.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 (fma.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)))
(fma.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))))
#s(literal 1/64 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))
#s(literal 1/16 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal -1/2 binary64) eps (fma.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))))))
#s(literal -1/2 binary64)
(fma.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)))))
#s(literal -1/8 binary64)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(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))))
#s(literal -1/16 binary64)
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x #s(literal 4 binary64))

Outputs
#s(approx 2 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(approx 2 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(approx 2 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(approx 2 (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))))
(.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))))
(.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))) (pow.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))) #s(literal 2 binary64)) (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))))))
(.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))))
(.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))) (pow.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))) #s(literal 2 binary64)) (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) (fma.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(.f64 (.f64 (neg.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64)))))
(.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))))
(.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))))
(*.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1/64 binary64) (neg.f64 #s(literal 1/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
#s(literal 1/64 binary64)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
#s(literal 4 binary64)
(*.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(.f64 (.f64 (neg.f64 #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (.f64 (neg.f64 #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
#s(literal 1/16 binary64)
(neg.f64 (neg.f64 #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64)))
(fabs.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 6 binary64))))
#s(literal 6 binary64)
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))))
(.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))))
(.f64 (fma.f64 (fabs.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))) (-.f64 (fabs.f64 (.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/8 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))))
(.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))) (fabs.f64 (.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (-.f64 (fma.f64 #s(literal -1/8 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))) (fabs.f64 (*.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
#s(literal -1/2 binary64)
(.f64 (fma.f64 (fabs.f64 #s(literal -1/8 binary64)) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 (fabs.f64 (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fabs.f64 (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (fabs.f64 (.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))) (fma.f64 #s(literal -1/8 binary64) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))))
#s(literal -1/8 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
(*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 (neg.f64 #s(literal -1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
#s(literal -1/16 binary64)
(neg.f64 (neg.f64 #s(literal -1/16 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
(*.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))) (fabs.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
x
eps
#s(literal 3 binary64)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 4 binary64))))

eval79.0ms (1.8%)

Memory: 3.6MiB live, 100.0MiB allocated; 22ms collecting garbage
Compiler: Compiled 23 797 to 2 332 computations (90.2% saved)

prune15.0ms (0.3%)

Memory

-22.6MiB live, 23.8MiB allocated; 3ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	297	12	309
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	302	16	318

Accuracy

100.0%

Counts

318 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	0.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	21.4%	(.f64 (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
	14.3%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))) x))
▶	24.1%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))) x))
	5.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	24.2%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) x))
▶	4.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) eps))
	4.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64)))
✓	0.0%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
▶	22.4%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
	0.0%	#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
	0.0%	#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (+.f64 x (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
	2.6%	#s(approx 2 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	2.6%	#s(approx 2 #s(literal 2 binary64))

Compiler

Compiled 910 to 557 computations (38.8% saved)

series198.0ms (4.4%)

Memory

-13.5MiB live, 228.3MiB allocated; 79ms collecting garbage

Counts

30 → 109

Calls

Call 1

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))) x))
(/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))) x)
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
eps
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/8 binary64)
(/.f64 eps (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx 2 #s(literal 2 binary64))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
#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 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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 7 binary64)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (fma.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 7 binary64))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (fma.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))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (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 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #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) (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))))
#s(approx (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/2 (* 1/8 (/ eps (pow x 2)))) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1/2 (* 1/8 (/ eps (pow x 2)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) eps (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ eps (pow x 2)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#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)) (fma.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)) (fma.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 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (/.f64 (fma.f64 #s(literal 1/8 binary64) eps (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ eps (pow x 3)) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* 1/2 (/ 1 x)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#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)))) (fma.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 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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))))))) x))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (-.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)))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.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)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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))))))))
#s(approx (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2))))) (fma.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)))
#s(approx (+ 1/2 (* 1/8 (/ eps (pow x 2)))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/8 (/ eps (pow x 2)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 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) (fma.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) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.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 (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 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 (- 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) (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.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))) (fma.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) (fma.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) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.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 (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 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 (+.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 (fma.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 (fma.f64 eps (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 (sqrt (neg eps)) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)))
#s(approx (neg eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#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 (fma.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 (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (*.f64 #s(literal 5/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x)) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (*.f64 #s(literal 5/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 4 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 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))))
#s(approx (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* 1/8 (/ eps (pow x 2)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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)) (fma.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)) (fma.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)))) (fma.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 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) eps) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) eps) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
#s(approx (+ 1/2 (* 1/8 (/ eps (pow x 2)))) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.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 #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)) (fma.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)) (fma.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)))) (fma.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 (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))

Calls

6 calls:

Time	Variable	Point
5.0ms	eps	inf
4.0ms	eps	-inf
3.0ms	x	0
3.0ms	x	-inf
3.0ms	eps	0

rewrite346.0ms (7.7%)

Memory

44.3MiB live, 321.8MiB allocated; 73ms collecting garbage

Counts

30 → 107

Calls

Call 1

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))) x))
(/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))) x)
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
eps
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/8 binary64)
(/.f64 eps (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx 2 #s(literal 2 binary64))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
#s(approx (+ (+ eps x) x) (/.f64 #s(approx (+ (+ (/ (* (* 1/2 (+ 1/64 1/16)) (pow eps 4)) (pow x 6)) (* eps -1/2)) (+ (/ (* eps -1/8) x) (/ (* eps -1/16) (pow x 4)))) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps))) x))
(/.f64 #s(approx (+ (+ (/ (* (* 1/2 (+ 1/64 1/16)) (pow eps 4)) (pow x 6)) (* eps -1/2)) (+ (/ (* eps -1/8) x) (/ (* eps -1/16) (pow x 4)))) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps))) x)
#s(approx (+ (+ (/ (* (* 1/2 (+ 1/64 1/16)) (pow eps 4)) (pow x 6)) (* eps -1/2)) (+ (/ (* eps -1/8) x) (/ (* eps -1/16) (pow x 4)))) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)
(.f64 (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps)) (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps)) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 eps (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
eps
(*.f64 eps eps)
(fabs.f64 eps)
(+.f64 (cosh.f64 (log.f64 eps)) (sinh.f64 (log.f64 eps)))
(+.f64 (sinh.f64 (log.f64 eps)) (cosh.f64 (log.f64 eps)))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/8 binary64) (/.f64 eps x))
(.f64 (.f64 eps #s(literal 1/8 binary64)) (/.f64 eps x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 eps x))
(.f64 (/.f64 eps x) (.f64 eps #s(literal 1/8 binary64)))
(*.f64 (/.f64 eps x) (neg.f64 #s(literal 1/8 binary64)))
#s(literal 1/8 binary64)
(neg.f64 (neg.f64 #s(literal 1/8 binary64)))
(*.f64 (/.f64 eps x) (/.f64 eps x))
(*.f64 (/.f64 eps x) eps)
(*.f64 eps (/.f64 eps x))
(*.f64 (fabs.f64 (/.f64 eps x)) (fabs.f64 (/.f64 eps x)))
(*.f64 (pow.f64 (/.f64 eps x) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))) (pow.f64 (/.f64 eps x) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))))
x
(*.f64 x x)
(fabs.f64 x)
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(+.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x)))
x
(*.f64 x x)
(fabs.f64 x)
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(+.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x)))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
#s(approx 2 #s(literal 2 binary64))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 2 binary64))
(.f64 (.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) eps))
(-.f64 x #s(approx (+ eps x) eps))
#s(approx (+ eps x) eps)
eps
(*.f64 eps eps)
(fabs.f64 eps)
(+.f64 (cosh.f64 (log.f64 eps)) (sinh.f64 (log.f64 eps)))
(+.f64 (sinh.f64 (log.f64 eps)) (cosh.f64 (log.f64 eps)))
eps
(*.f64 eps eps)
(fabs.f64 eps)
(+.f64 (cosh.f64 (log.f64 eps)) (sinh.f64 (log.f64 eps)))
(+.f64 (sinh.f64 (log.f64 eps)) (cosh.f64 (log.f64 eps)))
#s(approx (+ (+ eps x) x) #s(approx (/ (+ (+ (/ (* (* 1/2 (+ 1/64 1/16)) (pow eps 4)) (pow x 6)) (* eps -1/2)) (+ (/ (* eps -1/8) x) (/ (* eps -1/16) (pow x 4)))) x) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))))
#s(approx (/ (+ (+ (/ (* (* 1/2 (+ 1/64 1/16)) (pow eps 4)) (pow x 6)) (* eps -1/2)) (+ (/ (* eps -1/8) x) (/ (* eps -1/16) (pow x 4)))) x) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (/.f64 #s(literal 1/2 binary64) x)) eps)
(.f64 (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) (/.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) eps (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) eps) x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) eps (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) eps) x)) (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)))
(.f64 (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)))
(.f64 (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) (fma.f64 (/.f64 eps x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) (fma.f64 (.f64 x #s(literal 1/8 binary64)) eps (*.f64 x #s(literal 1/2 binary64)))) x)
(*.f64 (/.f64 eps x) (/.f64 eps x))
(*.f64 (/.f64 eps x) eps)
(*.f64 eps (/.f64 eps x))
(*.f64 (fabs.f64 (/.f64 eps x)) (fabs.f64 (/.f64 eps x)))
(*.f64 (pow.f64 (/.f64 eps x) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))) (pow.f64 (/.f64 eps x) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))))
x
(*.f64 x x)
(fabs.f64 x)
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(+.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x)))
#s(literal 3 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))
(*.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) x)) (fabs.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))

eval46.0ms (1%)

Memory: -0.0MiB live, 46.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 11 409 to 1 215 computations (89.4% saved)

prune31.0ms (0.7%)

Memory

-6.5MiB live, 40.0MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	195	8	203
Fresh	2	6	8
Picked	3	2	5
Done	0	3	3
Total	200	19	219

Accuracy

100.0%

Counts

219 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	5.3%	(-.f64 x #s(approx (+ eps x) eps))
✓	0.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	21.4%	(.f64 (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
	14.3%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))) x))
▶	24.1%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))) x))
	4.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))
	5.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	24.2%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
▶	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) x))
✓	4.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) eps))
✓	0.0%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
	22.4%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(approx ( 1/2 (/ 1 x)) (/.f64 #s(literal 1/2 binary64) x))))))
▶	24.0%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x)))))
	16.0%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
▶	0.0%	#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
	0.0%	#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (+.f64 x (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
	2.6%	#s(approx 2 #s(literal 1 binary64))
▶	4.5%	#s(approx 2 #s(literal 0 binary64))

Compiler

Compiled 1 238 to 779 computations (37.1% saved)

series333.0ms (7.4%)

Memory

-6.7MiB live, 232.2MiB allocated; 97ms collecting garbage

Counts

30 → 112

Calls

Call 1

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))) x))
(/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))) x)
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))
eps
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)))
#s(literal 1/8 binary64)
(/.f64 eps (*.f64 x x))
(*.f64 x x)
x
#s(approx 2 #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
(/.f64 eps (sqrt.f64 (neg.f64 eps)))
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x))))
(.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 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 (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
(/.f64 eps (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#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 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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 7 binary64)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (fma.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 7 binary64))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (fma.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))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (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 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #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) (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))))
#s(approx (* eps (+ 1/2 (* 1/8 (/ eps (* x x))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* eps (+ 1/2 (* 1/8 (/ eps (* x x))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/2 (* 1/8 (/ eps (* x x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1/2 (* 1/8 (/ eps (* x x)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) eps (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ eps (* x x)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (+.f64 x (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps))))) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps))))) (.f64 eps (sqrt.f64 (neg.f64 eps))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) (/.f64 eps (sqrt.f64 (neg.f64 eps))))) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps)))))))) (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
#s(approx (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (/.f64 (fma.f64 #s(literal 1/8 binary64) eps (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 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)))) (fma.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 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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))))))) x))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (-.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)))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.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)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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))))))))
#s(approx (* eps (+ 1/2 (* 1/8 (/ eps (* x x))))) (fma.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)))
#s(approx (+ 1/2 (* 1/8 (/ eps (* x x)))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/8 (/ eps (* x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (fma.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))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.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 1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 x #s(literal 4 binary64))))))) x))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.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)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.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))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 eps (fma.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))))) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))))))) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 x #s(literal 6 binary64)))))))))) x))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 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 (- 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) (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.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))) (fma.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)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -3 binary64) (/.f64 (.f64 eps x) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))))))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps))))))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (fma.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)))) (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.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)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (/.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 3 binary64) (/.f64 (.f64 eps (fma.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 (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) eps)))))))))))))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 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 (+.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 (fma.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 (fma.f64 eps (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx eps eps)
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 eps (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))) (/.f64 (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 eps (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))) (/.f64 (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 eps (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (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 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))))) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))) (/.f64 (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (/ eps (sqrt (neg eps))) (/.f64 eps (sqrt.f64 (*.f64 #s(literal -1 binary64) eps))))
#s(approx (sqrt (neg eps)) (sqrt.f64 (*.f64 #s(literal -1 binary64) eps)))
#s(approx (neg eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#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 (fma.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 (fma.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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (*.f64 #s(literal 5/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))
#s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x)) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (*.f64 #s(literal 5/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 4 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 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))))
#s(approx (* eps (+ 1/2 (* 1/8 (/ eps (* x x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* 1/8 (/ eps (* x x)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (-.f64 (+.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (-.f64 (+.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (-.f64 (+.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.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 2 binary64)))) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (/ eps (sqrt (neg eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (sqrt (neg eps)) (*.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) eps) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) eps) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
#s(approx (+ 1/2 (* 1/8 (/ eps (* x x)))) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 2 binary64)))))) (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (.f64 eps (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))) eps))))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.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 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.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 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))) eps))) eps) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ eps (sqrt (neg eps))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))

Calls

6 calls:

Time	Variable	Point
26.0ms	eps	inf
4.0ms	eps	-inf
3.0ms	eps	0
3.0ms	x	-inf
3.0ms	x	0

rewrite397.0ms (8.8%)

Memory

9.3MiB live, 326.8MiB allocated; 46ms collecting garbage

Counts

30 → 107

Calls

Call 1

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))) x))
(/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))) x)
#s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))
eps
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)))
#s(literal 1/8 binary64)
(/.f64 eps (*.f64 x x))
(*.f64 x x)
x
#s(approx 2 #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
(/.f64 eps (sqrt.f64 (neg.f64 eps)))
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 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 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x))))
(.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 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 (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
(/.f64 eps (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx 2 (/.f64 #s(approx (+ (+ (+ (* 2 -1/2) (* 2 -1/8)) (/ (* 2 -1/16) (pow x 4))) (/ (* (+ 1/64 1/16) (* 1/2 (pow 2 4))) (pow x 6))) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x))
(/.f64 #s(approx (+ (+ (+ (* 2 -1/2) (* 2 -1/8)) (/ (* 2 -1/16) (pow x 4))) (/ (* (+ 1/64 1/16) (* 1/2 (pow 2 4))) (pow x 6))) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x)
#s(approx (+ (+ (+ (* 2 -1/2) (* 2 -1/8)) (/ (* 2 -1/16) (pow x 4))) (/ (* (+ 1/64 1/16) (* 1/2 (pow 2 4))) (pow x 6))) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
eps
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 0 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) #s(literal 0 binary64))
(.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(.f64 (.f64 #s(literal 0 binary64) #s(literal 1/8 binary64)) x)
(.f64 (.f64 #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal 0 binary64))
#s(literal 1/8 binary64)
(neg.f64 (neg.f64 #s(literal 1/8 binary64)))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
eps
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
x
(*.f64 x x)
(.f64 (pow.f64 x (/.f64 (.f64 #s(literal 3 binary64) #s(literal 3 binary64)) #s(literal 0 binary64))) (pow.f64 x (/.f64 (*.f64 #s(literal 3 binary64) #s(literal 3 binary64)) #s(literal 0 binary64))))
(fabs.f64 x)
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x
(*.f64 x x)
(.f64 (pow.f64 x (/.f64 (.f64 #s(literal 3 binary64) #s(literal 3 binary64)) #s(literal 0 binary64))) (pow.f64 x (/.f64 (*.f64 #s(literal 3 binary64) #s(literal 3 binary64)) #s(literal 0 binary64))))
(fabs.f64 x)
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
#s(approx 2 #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
eps
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(approx 2 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 0 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(approx 2 #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
eps
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
eps
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
eps
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(approx 2 #s(approx (+ (+ (+ (* 2 -1/2) (* 2 -1/8)) (/ (* 2 -1/16) (pow x 4))) (/ (* (+ 1/64 1/16) (* 1/2 (pow 2 4))) (pow x 6))) (.f64 #s(literal 0 binary64) #s(approx (+ 1/2 ( 2 1/8)) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (+ (+ (* 2 -1/2) (* 2 -1/8)) (/ (* 2 -1/16) (pow x 4))) (/ (* (+ 1/64 1/16) (* 1/2 (pow 2 4))) (pow x 6))) (.f64 #s(literal 0 binary64) #s(approx (+ 1/2 ( 2 1/8)) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))
(.f64 #s(literal 0 binary64) #s(approx (+ 1/2 ( 2 1/8)) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 2 1/8)) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 x (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 0 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) #s(literal 0 binary64))
(.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(.f64 (.f64 #s(literal 0 binary64) #s(literal 1/8 binary64)) x)
(.f64 (.f64 #s(literal 0 binary64) #s(literal 1/8 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
eps
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
x
(*.f64 x x)
(.f64 (pow.f64 x (/.f64 (.f64 #s(literal 3 binary64) #s(literal 3 binary64)) #s(literal 0 binary64))) (pow.f64 x (/.f64 (*.f64 #s(literal 3 binary64) #s(literal 3 binary64)) #s(literal 0 binary64))))
(fabs.f64 x)
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
eps
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))

eval36.0ms (0.8%)

Memory: -2.9MiB live, 45.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 12 556 to 1 218 computations (90.3% saved)

prune10.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	1	8	9
Picked	0	5	5
Done	0	5	5
Total	156	20	176

Accuracy

100.0%

Counts

176 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	5.3%	(-.f64 x #s(approx (+ eps x) eps))
✓	0.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	21.4%	(.f64 (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
	14.3%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))) x))
✓	24.1%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))) x))
	4.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))
	4.0%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
	5.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	24.2%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
✓	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) x))
✓	4.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) eps))
✓	0.0%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
	22.4%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(approx ( 1/2 (/ 1 x)) (/.f64 #s(literal 1/2 binary64) x))))))
✓	24.0%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x)))))
	16.0%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
✓	0.0%	#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
	0.0%	#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (+.f64 x (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
	2.6%	#s(approx 2 #s(literal 1/2 binary64))
✓	4.5%	#s(approx 2 #s(literal 0 binary64))

Compiler

Compiled 663 to 422 computations (36.3% saved)

regimes67.0ms (1.5%)

Memory

-26.2MiB live, 110.3MiB allocated; 8ms collecting garbage

Accuracy

Total -1.3b remaining (-0.5%)

Threshold costs -1.3b (-0.5%)

Counts

4 → 1

10 → 1

16 → 1

19 → 2

31 → 2

Calls

Call 1

Inputs
#s(approx 2 #s(literal 0 binary64))
#s(approx 2 #s(literal 1/2 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(approx 2 #s(literal 2 binary64))

Outputs
#s(approx 2 #s(literal 0 binary64))

Call 2

Inputs
#s(approx 2 #s(literal 0 binary64))
#s(approx 2 #s(literal 1/2 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(approx 2 #s(literal 2 binary64))
(-.f64 x #s(approx (+ eps x) eps))
#s(approx 2 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))

Outputs
(-.f64 x #s(approx (+ eps x) eps))

Call 3

Inputs
#s(approx 2 #s(literal 0 binary64))
#s(approx 2 #s(literal 1/2 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(approx 2 #s(literal 2 binary64))
(-.f64 x #s(approx (+ eps x) eps))
#s(approx 2 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) 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 (.f64 x #s(literal 1/2 binary64)) x))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))

Call 4

Inputs
#s(approx 2 #s(literal 0 binary64))
#s(approx 2 #s(literal 1/2 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(approx 2 #s(literal 2 binary64))
(-.f64 x #s(approx (+ eps x) eps))
#s(approx 2 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) 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 (.f64 x #s(literal 1/2 binary64)) x))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 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 x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (+.f64 x (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))

Call 5

Inputs
#s(approx 2 #s(literal 0 binary64))
#s(approx 2 #s(literal 1/2 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(approx 2 #s(literal 2 binary64))
(-.f64 x #s(approx (+ eps x) eps))
#s(approx 2 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) 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 (.f64 x #s(literal 1/2 binary64)) x))
#s(approx (* (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (/.f64 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 x) (- (* x x) eps)) (+ (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (* (* x x) x))) (- (+ (* x x) (- (* x x) eps)) (* (sqrt (- (* x x) eps)) x))) (+.f64 x (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))) x))
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(approx ( 1/2 (/ 1 x)) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 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 (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))) x))
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) (.f64 eps #s(approx (+ ( 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#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))
(.f64 (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))) 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)))) (fma.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 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.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))

Outputs

#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)))))) x))

#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))

Calls

13 calls:

10.0ms	eps
8.0ms	x
6.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
5.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
4.5%	1	`x`
4.5%	1	`eps`
4.5%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
5.3%	1	`x`
5.3%	1	`eps`
5.3%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
5.7%	1	`eps`
5.7%	1	`x`
5.7%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
27.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
27.5%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
26.3%	2	`x`
24.2%	1	`eps`

Compiler

Compiled 1 028 to 252 computations (75.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.39631171092143e-92	6.104827771704003e-55

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.39631171092143e-92	6.104827771704003e-55

Compiler

Compiled 11 to 11 computations (0% saved)

derivations1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 149 to 64 computations (57% saved)

preprocess58.0ms (1.3%)

Memory

21.0MiB live, 117.1MiB allocated; 12ms collecting garbage

Remove

(abs eps)

(abs x)

Compiler

Compiled 777 to 475 computations (38.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze30.0ms (0.7%)

sample1.1s (25.5%)

preprocess58.0ms (1.3%)

series137.0ms (3%)

rewrite157.0ms (3.5%)

eval8.0ms (0.2%)

prune29.0ms (0.6%)

series855.0ms (19%)

rewrite466.0ms (10.3%)

eval79.0ms (1.8%)

prune15.0ms (0.3%)

series198.0ms (4.4%)

rewrite346.0ms (7.7%)

eval46.0ms (1%)

prune31.0ms (0.7%)

series333.0ms (7.4%)

rewrite397.0ms (8.8%)

eval36.0ms (0.8%)

prune10.0ms (0.2%)

regimes67.0ms (1.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations1.0ms (0%)

preprocess58.0ms (1.3%)

end0.0ms (0%)

Profiling