Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

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

analyze17.0ms (0.5%)

Memory

-15.1MiB live, 29.7MiB allocated; 7ms 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)

sample1.0s (28.5%)

Memory

27.5MiB live, 1 393.7MiB allocated; 450ms collecting garbage

Samples

373.0ms	2 675×	1	valid
248.0ms	4 879×	0	valid
110.0ms	702×	2	valid
10.0ms	140×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 501.0ms

adjust: 169.0ms (33.7% of total)

ival-sqrt: 134.0ms (26.7% of total)

ival-mult!: 117.0ms (23.3% of total)

ival-sub!: 81.0ms (16.2% of total)

Bogosity

preprocess67.0ms (1.9%)

Memory

-20.5MiB live, 73.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

series22.0ms (0.6%)

Memory

3.1MiB live, 49.6MiB allocated; 3ms 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

rewrite80.0ms (2.3%)

Memory

25.5MiB live, 182.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	24
0	10	24
1	27	24
2	64	24
3	173	24
4	373	24
5	1734	24
0	4047	24

Stop Event

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

Counts

6 → 53

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

eval13.0ms (0.4%)

Memory: -6.0MiB live, 39.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 041 to 486 computations (76.2% saved)

prune13.0ms (0.4%)

Memory

-15.1MiB live, 36.6MiB allocated; 5ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	10	102

Accuracy

99.7%

Counts

102 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	60.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	39.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x))
	34.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))
▶	61.8%	#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 eps)))))) (sqrt.f64 (neg.f64 eps))))
▶	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
	41.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
▶	61.4%	#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))))))
▶	59.6%	#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))))))
▶	59.3%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 392 to 272 computations (30.6% saved)

series77.0ms (2.2%)

Memory

44.6MiB live, 169.8MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	3435

Stop Event

1×	iter-limit

Counts

38 → 117

Calls

Call 1

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

Calls

6 calls:

Time	Variable	Point
16.0ms	x	inf
9.0ms	eps	0
8.0ms	x	-inf
6.0ms	x	0
5.0ms	eps	-inf

rewrite168.0ms (4.8%)

Memory

-12.9MiB live, 270.3MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	381
0	68	362
1	169	351
2	646	351
3	3467	316
0	4266	295

Stop Event

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

Counts

38 → 1 360

Calls

Call 1

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

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

eval280.0ms (8%)

Memory: 40.1MiB live, 539.7MiB allocated; 161ms collecting garbage
Compiler: Compiled 49 018 to 8 298 computations (83.1% saved)

prune39.0ms (1.1%)

Memory

-18.0MiB live, 74.0MiB allocated; 14ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 465	7	1 472
Fresh	0	4	4
Picked	5	0	5
Done	0	1	1
Total	1 470	12	1 482

Accuracy

99.8%

Counts

1 482 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	60.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	61.8%	#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
	61.5%	#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps (*.f64 (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
▶	59.6%	#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps x))
	39.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x))
	34.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))
▶	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
	41.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
▶	59.8%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (fabs.f64 eps))))
	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(literal -1 binary64) #s(approx ( eps (- (* -1 (/ x eps)) (sqrt (/ -1 eps)))) (*.f64 #s(literal -1 binary64) x))))
	59.3%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 434 to 306 computations (29.5% saved)

series32.0ms (0.9%)

Memory

9.9MiB live, 55.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	1804

Stop Event

1×	iter-limit

Counts

23 → 74

Calls

Call 1

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

Calls

6 calls:

Time	Variable	Point
7.0ms	eps	inf
2.0ms	eps	0
2.0ms	x	-inf
2.0ms	x	inf
2.0ms	eps	-inf

rewrite143.0ms (4%)

Memory

1.4MiB live, 146.3MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	150
0	43	146
1	102	146
2	265	146
3	912	144
4	3042	142
0	4589	134

Stop Event

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

Counts

23 → 637

Calls

Call 1

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

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

eval522.0ms (14.8%)

Memory: -100.6MiB live, 152.2MiB allocated; 813ms collecting garbage
Compiler: Compiled 17 329 to 2 357 computations (86.4% saved)

prune21.0ms (0.6%)

Memory

-5.9MiB live, 38.7MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	674	5	679
Fresh	2	4	6
Picked	1	4	5
Done	0	1	1
Total	677	14	691

Accuracy

99.8%

Counts

691 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	59.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (/.f64 (neg.f64 eps) (sqrt.f64 (neg.f64 eps)))))
✓	60.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	61.1%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (fabs.f64 eps))))
▶	61.5%	#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x))
✓	61.8%	#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	39.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x))
	34.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))
	61.3%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (+.f64 eps (.f64 x (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (neg.f64 eps))))
▶	61.3%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x eps) (sqrt.f64 (neg.f64 eps))) x))
✓	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
▶	41.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
✓	59.8%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (fabs.f64 eps))))
▶	59.3%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 423 to 294 computations (30.5% saved)

series46.0ms (1.3%)

Memory

-25.3MiB live, 70.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	2086

Stop Event

1×	iter-limit

Counts

31 → 86

Calls

Call 1

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

Calls

6 calls:

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

rewrite99.0ms (2.8%)

Memory

43.5MiB live, 181.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	220
0	56	220
1	125	220
2	447	210
3	2291	210
0	4061	202

Stop Event

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

Counts

31 → 849

Calls

Call 1

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

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

eval505.0ms (14.3%)

Memory: -32.0MiB live, 203.6MiB allocated; 39ms collecting garbage
Compiler: Compiled 27 107 to 3 903 computations (85.6% saved)

prune26.0ms (0.7%)

Memory

3.6MiB live, 49.3MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	968	7	975
Fresh	1	3	4
Picked	1	4	5
Done	1	4	5
Total	971	18	989

Accuracy

99.9%

Counts

989 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	60.0%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	61.1%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (fabs.f64 eps))))
✓	61.5%	#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x))
✓	61.8%	#s(approx (- x (sqrt (- (* x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) x) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
	39.2%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (.f64 (/.f64 eps (.f64 x x)) eps) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
	32.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps x)) (.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (.f64 x x)))
	28.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x)) (.f64 x x)) x))
	34.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))
	61.3%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (+.f64 eps (.f64 x (+.f64 (sqrt.f64 (neg.f64 eps)) (.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (neg.f64 eps))))
	58.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
✓	61.3%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x eps) (sqrt.f64 (neg.f64 eps))) x))
	59.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 (/.f64 #s(approx (+ (* (* -1/2 x) x) eps) eps) (sqrt.f64 (neg.f64 eps))) x))
✓	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
	39.0%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) eps) (/.f64 eps (.f64 x x)) (.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
✓	41.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
✓	59.3%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
	59.8%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (fabs.f64 eps))))

Compiler

Compiled 345 to 235 computations (31.9% saved)

regimes156.0ms (4.4%)

Memory

-6.0MiB live, 194.1MiB allocated; 82ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

3 → 1

4 → 1

5 → 1

10 → 1

13 → 2

21 → 2

29 → 2

Calls

Call 1

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

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

Call 2

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

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

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

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

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

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

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

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

Call 8

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

Outputs

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

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

Calls

20 calls:

37.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
8.0ms	eps
8.0ms	x
6.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
6.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
3.4%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
3.4%	1	`eps`
3.4%	1	`x`
59.3%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
59.3%	1	`x`
59.3%	1	`eps`
59.8%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
59.8%	1	`x`
59.8%	1	`eps`
60.0%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
60.0%	1	`x`
60.0%	1	`eps`
61.1%	1	`eps`
61.1%	1	`x`
61.1%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
96.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
99.0%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
99.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
91.2%	2	`x`
82.5%	2	`eps`

Compiler

Compiled 651 to 225 computations (65.4% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.97233125587867e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.97233125587867e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.97233125587867e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

derivations97.0ms (2.8%)

Memory

42.7MiB live, 128.6MiB allocated; 32ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 174 to 40 computations (77% saved)

preprocess94.0ms (2.7%)

Memory: -21.2MiB live, 174.6MiB allocated; 23ms collecting garbage
Compiler: Compiled 192 to 53 computations (72.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze17.0ms (0.5%)

sample1.0s (28.5%)

preprocess67.0ms (1.9%)

series22.0ms (0.6%)

rewrite80.0ms (2.3%)

eval13.0ms (0.4%)

prune13.0ms (0.4%)

series77.0ms (2.2%)

rewrite168.0ms (4.8%)

eval280.0ms (8%)

prune39.0ms (1.1%)

series32.0ms (0.9%)

rewrite143.0ms (4%)

eval522.0ms (14.8%)

prune21.0ms (0.6%)

series46.0ms (1.3%)

rewrite99.0ms (2.8%)

eval505.0ms (14.3%)

prune26.0ms (0.7%)

regimes156.0ms (4.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations97.0ms (2.8%)

preprocess94.0ms (2.7%)

end0.0ms (0%)

Profiling