Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

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

analyze13.0ms (0.5%)

Memory

-26.5MiB live, 16.9MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.3s (46.6%)

Memory

35.5MiB live, 1 099.3MiB allocated; 931ms collecting garbage

Samples

342.0ms	2 596×	1	valid
309.0ms	4 922×	0	valid
88.0ms	738×	2	valid
12.0ms	192×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 441.0ms

ival-sqrt: 208.0ms (47.2% of total)

ival-sub!: 94.0ms (21.3% of total)

adjust: 79.0ms (17.9% of total)

ival-mult!: 60.0ms (13.6% of total)

Bogosity

preprocess56.0ms (2%)

Memory

1.8MiB live, 48.8MiB allocated; 2ms 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
▶	65.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 16 to 12 computations (25% saved)

series16.0ms (0.6%)

Memory

35.9MiB live, 35.9MiB 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

rewrite60.0ms (2.1%)

Memory

-31.1MiB live, 77.9MiB allocated; 28ms 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

eval25.0ms (0.9%)

Memory: -11.7MiB live, 30.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 841 to 605 computations (78.7% saved)

prune8.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	117	12	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	13	130

Accuracy

99.1%

Counts

130 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(/.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)))))))
▶	64.7%	(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
	50.2%	(/.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))))
	50.1%	(/.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)))))
▶	28.9%	(-.f64 x (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (fabs.f64 x)))
✓	65.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	29.0%	(-.f64 x (sqrt.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) x) x)))
	59.6%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	65.0%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
	39.2%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x))
▶	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
	41.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
▶	59.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 482 to 268 computations (44.4% saved)

series73.0ms (2.6%)

Memory

-15.8MiB live, 125.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1089	7755

Stop Event

1×	iter-limit

Counts

27 → 219

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

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

Calls

6 calls:

Time	Variable	Point
8.0ms	eps	0
7.0ms	eps	inf
4.0ms	eps	-inf
4.0ms	x	inf
3.0ms	x	0

rewrite151.0ms (5.3%)

Memory

25.6MiB live, 205.8MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	172
0	51	147
1	232	147
0	2410	147

Stop Event

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

Counts

27 → 652

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

Outputs
(.f64 (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (-.f64 (.f64 x x) (fma.f64 x x eps))) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(.f64 (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps) (.f64 (.f64 x x) x))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 eps (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (+.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64))) (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (fma.f64 x x (-.f64 eps (*.f64 x x))))
(.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x eps)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (/.f64 #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 x x (-.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 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 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) x) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))))) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.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 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) x) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 eps (.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 (.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (fma.f64 x x (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (fma.f64 x x (-.f64 (.f64 x x) eps)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (pow.f64 (-.f64 eps (.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (-.f64 eps (.f64 x x)) (-.f64 (-.f64 eps (.f64 x x)) (*.f64 x x)))))
(/.f64 (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
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eval129.0ms (4.5%)

Memory: 3.5MiB live, 233.2MiB allocated; 52ms collecting garbage
Compiler: Compiled 23 007 to 3 435 computations (85.1% saved)

prune18.0ms (0.6%)

Memory

20.8MiB live, 67.7MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	808	6	814
Fresh	5	2	7
Picked	5	0	5
Done	0	1	1
Total	818	9	827

Accuracy

100.0%

Counts

827 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 #s(approx (+ (* x x) (- eps (* x x))) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
✓	65.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	59.6%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	59.5%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
▶	59.1%	#s(approx (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
▶	4.2%	#s(approx (- x (* (sqrt (- 1 (/ eps (* x x)))) (fabs x))) (-.f64 x (fabs.f64 x)))
▶	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
	41.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
	59.5%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 266 to 178 computations (33.1% saved)

series92.0ms (3.2%)

Memory

-0.8MiB live, 106.4MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	957	6431

Stop Event

1×	iter-limit

Counts

22 → 183

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
5.0ms	eps	inf
2.0ms	eps	-inf
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	eps	0

rewrite51.0ms (1.8%)

Memory

6.3MiB live, 51.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	181
0	51	177
0	271	174

Stop Event

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

Counts

22 → 71

Calls

Call 1

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

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

eval61.0ms (2.1%)

Memory: -20.9MiB live, 70.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 8 579 to 1 282 computations (85.1% saved)

prune10.0ms (0.3%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	233	2	235
Fresh	1	2	3
Picked	0	5	5
Done	0	1	1
Total	234	10	244

Accuracy

100.0%

Counts

244 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 #s(approx (+ (* x x) (- eps (* x x))) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
▶	62.7%	(/.f64 #s(approx (+ (* x x) (- eps (* x x))) eps) #s(approx (+ (sqrt (- (* x x) eps)) x) (+.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	65.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	59.6%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
✓	59.5%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
✓	59.1%	#s(approx (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
▶	41.5%	#s(approx (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
✓	4.2%	#s(approx (- x (* (sqrt (- 1 (/ eps (* x x)))) (fabs x))) (-.f64 x (fabs.f64 x)))
✓	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
▶	59.5%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 173 to 109 computations (37% saved)

series43.0ms (1.5%)

Memory

-3.0MiB live, 45.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	561	3344

Stop Event

1×	iter-limit

Counts

16 → 94

Calls

Call 1

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

Calls

6 calls:

Time	Variable	Point
18.0ms	eps	0
3.0ms	eps	inf
2.0ms	x	-inf
2.0ms	x	inf
2.0ms	eps	-inf

rewrite228.0ms (8%)

Memory

-6.0MiB live, 179.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
0	32	135
1	181	125
2	1847	125
0	8240	111

Stop Event

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

Counts

16 → 208

Calls

Call 1

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

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(neg.f64 (sqrt.f64 (neg.f64 eps)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (neg.f64 (sqrt.f64 (neg.f64 eps)))))
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 eps))) (sqrt.f64 (sqrt.f64 (neg.f64 eps))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 eps) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 eps))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 eps)))))
(fabs.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))))
(fabs.f64 (sqrt.f64 (neg.f64 eps)))
(exp.f64 (log.f64 (sqrt.f64 (neg.f64 eps))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (neg.f64 eps)))) (sinh.f64 (log.f64 (sqrt.f64 (neg.f64 eps)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(*.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 eps)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 eps)))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 eps)))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(*.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)))
(pow.f64 (*.f64 eps eps) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (neg.f64 eps)) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 1 binary64))
(neg.f64 eps)
(sqrt.f64 (*.f64 eps eps))
(fabs.f64 (*.f64 (sqrt.f64 (neg.f64 eps)) (neg.f64 (sqrt.f64 (neg.f64 eps)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (sqrt.f64 (neg.f64 eps))))
(fabs.f64 (neg.f64 (neg.f64 eps)))
(fabs.f64 (neg.f64 eps))
(fabs.f64 eps)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 eps))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 eps eps)) #s(literal 1/2 binary64)))
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eval39.0ms (1.4%)

Memory: 9.3MiB live, 100.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 13 156 to 1 475 computations (88.8% saved)

prune13.0ms (0.4%)

Memory

-18.2MiB live, 27.0MiB allocated; 7ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	364	2	366
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	364	12	376

Accuracy

100.0%

Counts

376 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 #s(approx (+ (* x x) (- eps (* x x))) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
✓	62.7%	(/.f64 #s(approx (+ (* x x) (- eps (* x x))) eps) #s(approx (+ (sqrt (- (* x x) eps)) x) (+.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	65.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.6%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	60.8%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (fabs.f64 eps))))
✓	59.5%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps))) x)) x)
✓	59.1%	#s(approx (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
	41.3%	#s(approx (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (.f64 (.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
✓	41.5%	#s(approx (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
✓	4.2%	#s(approx (- x (* (sqrt (- 1 (/ eps (* x x)))) (fabs x))) (-.f64 x (fabs.f64 x)))
✓	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
✓	59.5%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 211 to 133 computations (37% saved)

regimes187.0ms (6.5%)

Memory

41.9MiB live, 183.5MiB allocated; 39ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

4 → 1

5 → 1

8 → 1

12 → 2

14 → 2

23 → 1

Calls

Call 1

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

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

Call 2

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

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

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

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

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

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

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 6

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

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 7

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

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

Calls

19 calls:

67.0ms	x
52.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
15.0ms	x
6.0ms	eps
6.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`eps`
3.5%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
59.5%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
59.5%	1	`x`
59.5%	1	`eps`
59.6%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
59.6%	1	`eps`
59.6%	1	`x`
60.8%	1	`eps`
60.8%	1	`x`
60.8%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
95.5%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
98.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
88.9%	2	`x`
81.6%	2	`eps`
99.6%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 504 to 170 computations (66.3% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.4232651128038434e-153	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.4232651128038434e-153	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

derivations85.0ms (3%)

Memory

-25.1MiB live, 85.0MiB allocated; 31ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 139 to 35 computations (74.8% saved)

preprocess167.0ms (5.8%)

Memory: 20.4MiB live, 193.8MiB allocated; 74ms collecting garbage
Compiler: Compiled 157 to 48 computations (69.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze13.0ms (0.5%)

sample1.3s (46.6%)

preprocess56.0ms (2%)

series16.0ms (0.6%)

rewrite60.0ms (2.1%)

eval25.0ms (0.9%)

prune8.0ms (0.3%)

series73.0ms (2.6%)

rewrite151.0ms (5.3%)

eval129.0ms (4.5%)

prune18.0ms (0.6%)

series92.0ms (3.2%)

rewrite51.0ms (1.8%)

eval61.0ms (2.1%)

prune10.0ms (0.3%)

series43.0ms (1.5%)

rewrite228.0ms (8%)

eval39.0ms (1.4%)

prune13.0ms (0.4%)

regimes187.0ms (6.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations85.0ms (3%)

preprocess167.0ms (5.8%)

end0.0ms (0%)

Profiling