Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

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

analyze10.0ms (0.5%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms 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)

sample965.0ms (43%)

Memory

27.9MiB live, 1 393.7MiB allocated; 347ms collecting garbage

Samples

316.0ms	2 675×	1	valid
254.0ms	4 879×	0	valid
155.0ms	702×	2	valid
6.0ms	140×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 513.0ms

adjust: 165.0ms (32.2% of total)

ival-sqrt: 158.0ms (30.8% of total)

ival-mult!: 117.0ms (22.8% of total)

ival-sub!: 73.0ms (14.2% of total)

Bogosity

preprocess93.0ms (4.1%)

Memory

-41.8MiB live, 51.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	77	49
2	187	49
3	372	49
4	785	49
5	3592	49

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 16 to 12 computations (25% saved)

series17.0ms (0.7%)

Memory

41.9MiB live, 41.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1452

Stop Event

1×	iter-limit

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

rewrite48.0ms (2.1%)

Memory

-14.7MiB live, 79.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	24
0	10	24
1	58	24
0	525	24

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

6 → 81

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 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
(.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (neg.f64 (fma.f64 x x (-.f64 eps (.f64 x x)))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (fma.f64 x x (-.f64 eps (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps))) (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) eps)))))
(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))))
(-.f64 x (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
x
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (fabs.f64 x))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 eps eps) eps))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 eps (fma.f64 x x eps)))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) x) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (.f64 x x))) (*.f64 x x))
(.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (*.f64 x x))
(.f64 (.f64 (fma.f64 x x eps) (-.f64 (*.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 eps eps) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 eps (fma.f64 x x eps)))))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))))
(pow.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 eps eps) (.f64 (*.f64 x x) (neg.f64 eps)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps))) (neg.f64 (fma.f64 x x eps)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 eps eps) eps))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 eps (fma.f64 x x eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x eps) (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 eps (fma.f64 x x eps))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 eps eps) eps))))
(/.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)) (fma.f64 x x eps))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 eps eps) eps)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 eps (fma.f64 x x eps))))
(neg.f64 (-.f64 eps (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (neg.f64 eps))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 eps))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 eps))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 eps))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 eps))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 eps))
(fma.f64 x x (neg.f64 eps))
(sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x eps)) (/.f64 (.f64 eps eps) (fma.f64 x x eps)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 eps (fma.f64 x x eps)))) (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 eps (fma.f64 x x eps)))))
(-.f64 (*.f64 x x) (neg.f64 (neg.f64 eps)))
(-.f64 (*.f64 x x) eps)
(fabs.f64 (-.f64 (*.f64 x x) eps))
(+.f64 (neg.f64 eps) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 eps))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
eps

eval16.0ms (0.7%)

Memory: -1.4MiB live, 44.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 841 to 605 computations (78.7% saved)

prune13.0ms (0.6%)

Memory

-14.3MiB live, 31.9MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	116	13	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	14	130

Accuracy

99.8%

Counts

130 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.0%	(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
	47.4%	(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
	64.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (fma.f64 x x (-.f64 eps (.f64 x x)))))
	26.5%	(-.f64 x (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (fabs.f64 x)))
✓	64.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	26.5%	(-.f64 x (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (*.f64 x x))))
	60.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	64.6%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
▶	39.4%	#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))
	34.8%	#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))
▶	61.8%	#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))))
▶	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
▶	41.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
	59.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 494 to 316 computations (36% saved)

series74.0ms (3.3%)

Memory

29.5MiB live, 127.5MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	614	4484

Stop Event

1×	iter-limit

Counts

34 → 157

Calls

Call 1

Inputs
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
x
eps
#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 1/2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
#s(literal 1/2 binary64)
(/.f64 eps x)
#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))))
(-.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)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))
#s(literal -1/2 binary64)
(/.f64 x (sqrt.f64 (neg.f64 eps)))
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x))
(/.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(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))
(*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 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 -1/2 binary64) eps)

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

Calls

6 calls:

Time	Variable	Point
23.0ms	eps	-inf
10.0ms	x	-inf
6.0ms	eps	0
5.0ms	x	0
5.0ms	eps	inf

rewrite92.0ms (4.1%)

Memory

-10.2MiB live, 132.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	241
0	61	237
1	249	237
0	2336	222

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

34 → 507

Calls

Call 1

Inputs
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
x
eps
#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 1/2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
#s(literal 1/2 binary64)
(/.f64 eps x)
#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))))
(-.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)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps))))
#s(literal -1/2 binary64)
(/.f64 x (sqrt.f64 (neg.f64 eps)))
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x))
(/.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(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))
(*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 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 -1/2 binary64) eps)

Outputs
(.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 x (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) x)
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)))) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64)))
(/.f64 (.f64 x (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 3 binary64))))) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) x) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 3 binary64)))) x) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (neg.f64 (fma.f64 x x (-.f64 eps (.f64 x x)))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))))
(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (fma.f64 x x (-.f64 eps (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps))) (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) eps)))))
(neg.f64 (.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64)) x))
(neg.f64 (.f64 x (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))))
(-.f64 x (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(+.f64 x (.f64 x (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x))))
(+.f64 x (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) x))
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))))
(.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 1 binary64))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x))))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (+.f64 x x) (.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (+.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)))) (neg.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 3 binary64)))) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 3 binary64))))))
(neg.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 x x) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) x)) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)))
#s(literal 1 binary64)
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x x))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) x)
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) x)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (fabs.f64 x))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 eps (fma.f64 x x eps)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(hypot.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(hypot.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(hypot.f64 (exp.f64 (log.f64 x)) (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (fabs.f64 x))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 x))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)
(hypot.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(hypot.f64 (fabs.f64 x) (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(hypot.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) (exp.f64 (log.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) (fabs.f64 x))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 x))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
(hypot.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) x) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (.f64 x x))) (*.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (*.f64 x x))
(.f64 (.f64 (fma.f64 x x eps) (-.f64 (*.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)))
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(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))

eval80.0ms (3.6%)

Memory: 14.9MiB live, 205.9MiB allocated; 32ms collecting garbage
Compiler: Compiled 17 505 to 2 961 computations (83.1% saved)

prune28.0ms (1.3%)

Memory

-11.0MiB live, 80.8MiB allocated; 8ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	612	14	626
Fresh	2	6	8
Picked	3	2	5
Done	0	1	1
Total	617	23	640

Accuracy

99.9%

Counts

640 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.0%	(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
	47.4%	(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
	43.1%	(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
	26.5%	(-.f64 x (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (fabs.f64 x)))
✓	64.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	26.5%	(-.f64 x (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (*.f64 x x))))
	60.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	64.1%	(.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
	26.5%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))) x)
✓	64.6%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
▶	59.9%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
	39.2%	(.f64 #s(approx (- 1 (/ (sqrt (- ( x x) eps)) x)) (/.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)) (pow.f64 x #s(literal 2 binary64)))) x)
	34.7%	(.f64 #s(approx (- 1 (/ (sqrt (- ( x x) eps)) x)) (/.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)))))) (pow.f64 x #s(literal 2 binary64)))) x)
	39.2%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
▶	32.9%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (.f64 x (.f64 #s(literal -1/2 binary64) eps))) (*.f64 x x)))
	41.5%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
▶	61.8%	#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 (neg.f64 eps))))
▶	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
	39.0%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
✓	41.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
	59.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
	31.0%	#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (fma.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)))))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))))
	34.8%	#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) 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))

Compiler

Compiled 950 to 601 computations (36.7% saved)

series97.0ms (4.3%)

Memory

21.9MiB live, 151.1MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	692	5326

Stop Event

1×	iter-limit

Counts

34 → 174

Calls

Call 1

Inputs
(.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
x
eps
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
(+.f64 x x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x))
(/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x)
#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))) (-.f64 (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 (neg.f64 eps))))
(-.f64 (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 (neg.f64 eps)))
(fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x)
(/.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (.f64 x (.f64 #s(literal -1/2 binary64) eps))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (.f64 x (.f64 #s(literal -1/2 binary64) eps))) (*.f64 x x))
(-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (.f64 x (.f64 #s(literal -1/2 binary64) eps)))
(.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x)
(/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 eps eps) #s(literal 1/8 binary64))
(*.f64 eps eps)
#s(literal 1/8 binary64)
(.f64 x (.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)

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

Calls

6 calls:

Time	Variable	Point
12.0ms	eps	-inf
5.0ms	x	inf
4.0ms	eps	inf
4.0ms	x	-inf
4.0ms	eps	0

rewrite53.0ms (2.4%)

Memory

9.7MiB live, 97.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	283
0	66	276
0	290	276

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

34 → 132

Calls

Call 1

Inputs
(.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
x
eps
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
(+.f64 x x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x))
(/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x)
#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))) (-.f64 (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 (neg.f64 eps))))
(-.f64 (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 (neg.f64 eps)))
(fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x)
(/.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (.f64 x (.f64 #s(literal -1/2 binary64) eps))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (.f64 x (.f64 #s(literal -1/2 binary64) eps))) (*.f64 x x))
(-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (.f64 x (.f64 #s(literal -1/2 binary64) eps)))
(.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x)
(/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 eps eps) #s(literal 1/8 binary64))
(*.f64 eps eps)
#s(literal 1/8 binary64)
(.f64 x (.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)

Outputs
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -1 binary64))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 eps eps)) (fma.f64 x x eps))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 eps eps (.f64 (*.f64 x x) eps))))
(neg.f64 (-.f64 eps (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 eps))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 eps))
(fma.f64 x x (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 x x) (neg.f64 eps))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
eps
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(-.f64 x (neg.f64 x))
(+.f64 x x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x) (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x) (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x) (.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)))))
(neg.f64 (-.f64 (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x)))
(.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))) (neg.f64 x))
(/.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))))
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
(pow.f64 (neg.f64 eps) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 eps))
(fabs.f64 (sqrt.f64 (neg.f64 eps)))
(neg.f64 eps)
#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) #s(literal -1/2 binary64)) x (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 eps)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x)) (.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)))) (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x) (sqrt.f64 (neg.f64 eps))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x) (fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x) (sqrt.f64 (neg.f64 eps))))))
(neg.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x)))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) #s(literal -1/2 binary64)) x (-.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))))) (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) (-.f64 x (sqrt.f64 (neg.f64 eps))))
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x) (sqrt.f64 (neg.f64 eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))))) (.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))))) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) x))))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) #s(literal -1/2 binary64)) x x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps))) x)
(fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x)
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 x))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(+.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 eps))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 eps)) x))
(/.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) x)) (*.f64 x x)))
(.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) x)) x) x)
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) x))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 (*.f64 #s(literal -1/2 binary64) eps) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 x x)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (.f64 #s(literal -1/2 binary64) eps) x))) (fma.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x (.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))))
(neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x))))
(fma.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x (.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x (neg.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(fma.f64 x (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 x (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (neg.f64 (.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) x))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) eps)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x)))
(.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)
(.f64 x (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x))
(.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x))
(.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(/.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) x)
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps))) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 eps eps))))
(.f64 #s(literal 1/8 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal 1/8 binary64))
(.f64 eps (.f64 eps #s(literal 1/8 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 1/8 binary64)
(.f64 (.f64 #s(literal -1/2 binary64) eps) x)
(.f64 (.f64 #s(literal -1/2 binary64) x) eps)
(.f64 x (.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))

eval60.0ms (2.7%)

Memory: -27.6MiB live, 76.9MiB allocated; 43ms collecting garbage
Compiler: Compiled 9 437 to 1 401 computations (85.2% saved)

prune21.0ms (0.9%)

Memory

1.0MiB live, 47.6MiB allocated; 2ms collecting garbage

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	282	8	290
Fresh	2	13	15
Picked	3	2	5
Done	0	3	3
Total	287	26	313

Accuracy

99.9%

Counts

313 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.0%	(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
	47.4%	(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
▶	43.1%	(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
	26.5%	(-.f64 x (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (fabs.f64 x)))
✓	64.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	26.5%	(-.f64 x (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (*.f64 x x))))
▶	60.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	64.1%	(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) x)
	26.5%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))) x)
✓	64.6%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
✓	59.9%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
	4.2%	(.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( x x) eps)) x) #s(literal 1 binary64))) x)
▶	39.2%	(.f64 #s(approx (+ ( (sqrt (- (* x x) eps)) (neg (/ 1 x))) 1) (/.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)) (pow.f64 x #s(literal 2 binary64)))) x)
	34.7%	(.f64 #s(approx (+ ( (sqrt (- (* x x) eps)) (neg (/ 1 x))) 1) (/.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))) (pow.f64 x #s(literal 2 binary64)))) x)
	61.8%	#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
	39.2%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
	12.6%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (.f64 #s(literal -1/2 binary64) eps) x))) (fma.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x (.f64 (.f64 #s(literal -1/2 binary64) eps) x))) (.f64 x x)))
▶	32.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps x)) (.f64 #s(literal -1/2 binary64) x)))) (.f64 x x)))
	33.6%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps x))) (*.f64 x x)))
	41.5%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
✓	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
	39.0%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
✓	41.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
	59.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
	31.0%	#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (fma.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)))))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))))
	34.8%	#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) 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))

Compiler

Compiled 1 182 to 713 computations (39.7% saved)

series48.0ms (2.1%)

Memory

11.1MiB live, 108.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	4670

Stop Event

1×	iter-limit

Counts

37 → 157

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite242.0ms (10.8%)

Memory

13.8MiB live, 179.8MiB allocated; 141ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	347
0	82	349
1	352	322
0	3166	317

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

37 → 680

Calls

Call 1

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

Outputs
(.f64 (.f64 x (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)))
(.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) x))
(.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
(.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
(.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 x (.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal -1 binary64))
(/.f64 (.f64 x (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) x) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) x))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) x) (.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))) x))
(/.f64 (neg.f64 (fma.f64 x x (-.f64 eps (.f64 x x)))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)))) (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))))
(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
(/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) x) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (fma.f64 x x (-.f64 eps (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps))) (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(neg.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) x) x))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) x (.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) x))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) x)
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))))
(-.f64 x (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (.f64 x (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x))) x)
(+.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) x))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(+.f64 x (.f64 x (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x))))
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)))
(.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))))
(.f64 (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps))) x)
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)))))
(/.f64 (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))))
(neg.f64 (.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(neg.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x))))
(neg.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)) #s(literal 1 binary64))
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(fma.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) (/.f64 (.f64 eps eps) (neg.f64 x)) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
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(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps) (*.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/8 binary64) eps) eps) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/8 binary64) eps) eps) (.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 eps (/.f64 eps x)) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 eps (/.f64 eps x)) (.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (.f64 eps (/.f64 eps x)) (/.f64 #s(literal 1/8 binary64) x) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
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(fma.f64 (.f64 eps eps) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (/.f64 eps x) (.f64 (/.f64 eps x) #s(literal 1/8 binary64)) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 eps x) (.f64 (/.f64 eps x) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) eps) eps) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/8 binary64) eps) eps) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps)) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) eps))
(fma.f64 eps (.f64 eps (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 eps (.f64 eps (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 eps (.f64 (.f64 #s(literal 1/8 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 eps (.f64 (.f64 #s(literal 1/8 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1/2 binary64) eps))
(fma.f64 eps (/.f64 (.f64 #s(literal 1/8 binary64) eps) (.f64 x x)) (*.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(fma.f64 eps (/.f64 (.f64 #s(literal 1/8 binary64) eps) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) eps))
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(-.f64 (/.f64 (.f64 (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal 1/64 binary64) (.f64 eps (/.f64 eps (.f64 x x))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) eps))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) eps))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 (*.f64 eps (/.f64 eps x))) (/.f64 #s(literal 1/8 binary64) x)))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 (.f64 eps (/.f64 eps (.f64 x x)))) #s(literal 1/8 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (neg.f64 eps) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (neg.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps))) (.f64 (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal 1/64 binary64) (.f64 eps (/.f64 eps (.f64 x x))))))) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps))) (.f64 (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal 1/64 binary64) (.f64 eps (/.f64 eps (.f64 x x))))))))
(+.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps)) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
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(*.f64 (/.f64 (fabs.f64 eps) (fabs.f64 x)) (/.f64 (fabs.f64 eps) (fabs.f64 x)))
(*.f64 (/.f64 (fabs.f64 eps) (neg.f64 x)) (/.f64 (fabs.f64 eps) (neg.f64 x)))
(*.f64 (/.f64 (fabs.f64 eps) x) (/.f64 (fabs.f64 eps) x))
(*.f64 (/.f64 (neg.f64 eps) (fabs.f64 x)) (/.f64 (neg.f64 eps) (fabs.f64 x)))
(*.f64 (/.f64 (neg.f64 eps) x) (/.f64 (neg.f64 eps) x))
(*.f64 (/.f64 eps (fabs.f64 x)) (/.f64 eps (fabs.f64 x)))
(*.f64 (/.f64 eps (neg.f64 x)) (/.f64 eps (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 eps eps))
(.f64 (.f64 (neg.f64 eps) eps) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) (.f64 x x)))
(.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 eps x) (/.f64 eps x))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 eps (/.f64 eps (*.f64 x x))))
(.f64 eps (/.f64 eps (.f64 x x)))
(pow.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 eps eps) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 eps eps) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 eps eps) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 eps (/.f64 eps x)) x)
(/.f64 (.f64 (neg.f64 eps) eps) (.f64 (neg.f64 x) x))
(/.f64 (.f64 eps eps) (.f64 x x))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (/.f64 x (*.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (.f64 eps eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 x (.f64 eps eps)))))
(neg.f64 (/.f64 (.f64 eps eps) (.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 x (.f64 eps eps)))))
(neg.f64 (/.f64 (.f64 (neg.f64 eps) eps) (.f64 x x)))
(exp.f64 (-.f64 (.f64 (log.f64 eps) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) eps))
#s(literal 1/2 binary64)

eval109.0ms (4.9%)

Memory: 36.1MiB live, 172.5MiB allocated; 30ms collecting garbage
Compiler: Compiled 26 297 to 3 426 computations (87% saved)

prune31.0ms (1.4%)

Memory

-1.8MiB live, 49.9MiB allocated; 14ms collecting garbage

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	773	9	782
Fresh	5	11	16
Picked	2	3	5
Done	0	5	5
Total	780	28	808

Accuracy

99.9%

Counts

808 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.0%	(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
	42.8%	(/.f64 (fma.f64 x x (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)) x)
	47.4%	(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
✓	43.1%	(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
	34.8%	(/.f64 #s(approx (* (- x (sqrt (- (* x x) eps))) x) (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)
	64.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
	26.5%	(-.f64 x (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (fabs.f64 x)))
✓	64.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	26.5%	(-.f64 x (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (*.f64 x x))))
✓	60.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
✓	64.1%	(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) x)
	26.5%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))) x)
✓	64.6%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
✓	59.9%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
	4.2%	(.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( x x) eps)) x) #s(literal 1 binary64))) x)
	34.7%	(.f64 #s(approx (+ ( (/ -1 x) (sqrt (- (* x x) eps))) 1) (/.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))) (pow.f64 x #s(literal 2 binary64)))) x)
	39.1%	(.f64 #s(approx (+ ( (sqrt (- (* x x) eps)) (neg (/ 1 x))) 1) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x))) x)
	39.2%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
	32.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (/.f64 eps x) #s(literal 1/8 binary64))) eps)) (*.f64 x x)))
	31.0%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps x)) (*.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))))
	31.0%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps x)) (.f64 #s(literal -1/2 binary64) x)))) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
	33.6%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 eps #s(approx (- ( 1/8 (/ eps x)) (* -1/2 x)) (.f64 #s(literal 1/2 binary64) x)))) (.f64 x x)))
	41.5%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
✓	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
	39.0%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
✓	41.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
	59.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))
	31.0%	#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (fma.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)))))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))))

Compiler

Compiled 654 to 418 computations (36.1% saved)

regimes90.0ms (4%)

Memory

-31.1MiB live, 107.5MiB allocated; 14ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

5 → 1

7 → 2

22 → 2

45 → 2

Calls

Call 1

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

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

Call 2

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

Outputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))

Call 3

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

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

Call 4

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
(.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( x x) eps)) x) #s(literal 1 binary64))) x)
#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 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps x))) (*.f64 x x)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 eps #s(approx (- ( 1/8 (/ eps x)) (* -1/2 x)) (.f64 #s(literal 1/2 binary64) x)))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 x (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (fabs.f64 x)))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) x)
(-.f64 x (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (*.f64 x x))))
#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 (neg.f64 eps))))
(.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 x x (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)) x)
#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))))

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

Call 5

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
(.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( x x) eps)) x) #s(literal 1 binary64))) x)
#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 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps x))) (*.f64 x x)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 eps #s(approx (- ( 1/8 (/ eps x)) (* -1/2 x)) (.f64 #s(literal 1/2 binary64) x)))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 x (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (fabs.f64 x)))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) x)
(-.f64 x (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (*.f64 x x))))
#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 (neg.f64 eps))))
(.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 x x (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)) x)
#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 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (/.f64 eps x) #s(literal 1/8 binary64))) eps)) (*.f64 x x)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps x)) (.f64 #s(literal -1/2 binary64) x)))) (.f64 x x)))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(.f64 #s(approx (+ ( (sqrt (- (* x x) eps)) (neg (/ 1 x))) 1) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (fma.f64 x x (-.f64 eps (.f64 x x)))))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (.f64 x (.f64 #s(literal -1/2 binary64) eps))) (*.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64))) x)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps x)) (.f64 #s(literal -1/2 binary64) x)))) (exp.f64 (.f64 (log.f64 x) #s(literal 2 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 #s(approx (- (* (/ (* (* eps eps) 1/8) (* x x)) x) (* x (* -1/2 eps))) (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps x)) (*.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
(.f64 #s(approx (+ ( (sqrt (- (* x x) eps)) (neg (/ 1 x))) 1) (/.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)) (pow.f64 x #s(literal 2 binary64)))) x)
(.f64 #s(approx (- 1 (/ (sqrt (- ( x x) eps)) x)) (/.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)) (pow.f64 x #s(literal 2 binary64)))) x)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x)) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (.f64 #s(literal -1/2 binary64) eps) x))) (fma.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x (.f64 (.f64 #s(literal -1/2 binary64) eps) x))) (.f64 x x)))
#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) 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))
(/.f64 #s(approx (* (- x (sqrt (- (* x x) eps))) x) (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 (- 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))
(.f64 #s(approx (+ ( (sqrt (- (* x x) eps)) (neg (/ 1 x))) 1) (/.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))) (pow.f64 x #s(literal 2 binary64)))) x)
(.f64 #s(approx (+ ( (/ -1 x) (sqrt (- (* x x) eps))) 1) (/.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))) (pow.f64 x #s(literal 2 binary64)))) x)
(.f64 #s(approx (- 1 (/ (sqrt (- ( x x) eps)) x)) (/.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)))))) (pow.f64 x #s(literal 2 binary64)))) x)
#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (fma.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)))))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))))

Outputs

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

#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (*.f64 eps (/.f64 eps (*.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))

Calls

11 calls:

32.0ms	x
11.0ms	eps
11.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
6.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
3.0ms	eps

Results

Accuracy	Segments	Branch
3.4%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
3.4%	1	`x`
3.4%	1	`eps`
60.0%	1	`eps`
60.0%	1	`x`
60.0%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
96.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
99.0%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
99.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
91.2%	2	`x`
82.5%	2	`eps`

Compiler

Compiled 1 223 to 284 computations (76.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.97233125587867e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.97233125587867e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.97233125587867e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

derivations19.0ms (0.8%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 136 to 32 computations (76.5% saved)

preprocess40.0ms (1.8%)

Memory: 5.0MiB live, 56.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 154 to 45 computations (70.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze10.0ms (0.5%)

sample965.0ms (43%)

preprocess93.0ms (4.1%)

series17.0ms (0.7%)

rewrite48.0ms (2.1%)

eval16.0ms (0.7%)

prune13.0ms (0.6%)

series74.0ms (3.3%)

rewrite92.0ms (4.1%)

eval80.0ms (3.6%)

prune28.0ms (1.3%)

series97.0ms (4.3%)

rewrite53.0ms (2.4%)

eval60.0ms (2.7%)

prune21.0ms (0.9%)

series48.0ms (2.1%)

rewrite242.0ms (10.8%)

eval109.0ms (4.9%)

prune31.0ms (1.4%)

regimes90.0ms (4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations19.0ms (0.8%)

preprocess40.0ms (1.8%)

end0.0ms (0%)

Profiling