Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

Memory: 0.1MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze14.0ms (0.3%)

Memory

-15.8MiB live, 37.5MiB allocated; 9ms 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)

sample1.2s (25%)

Memory

25.7MiB live, 1 387.4MiB allocated; 278ms collecting garbage

Samples

347.0ms	4 795×	0	valid
341.0ms	2 732×	1	valid
144.0ms	729×	2	valid
7.0ms	159×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 644.0ms

ival-sqrt: 313.0ms (48.6% of total)

adjust: 132.0ms (20.5% of total)

ival-sub!: 130.0ms (20.2% of total)

ival-mult!: 68.0ms (10.6% of total)

Bogosity

preprocess53.0ms (1.1%)

Memory

3.6MiB live, 49.0MiB allocated; 7ms 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
▶	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 12 to 12 computations (0% saved)

series23.0ms (0.5%)

Memory

3.9MiB live, 46.9MiB allocated; 7ms 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	Expression
2.0ms	x	@	inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)
1.0ms	eps	@	inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)
1.0ms	x	@	0	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)
1.0ms	x	@	-inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)
1.0ms	eps	@	-inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)

rewrite197.0ms (4.2%)

Memory

57.5MiB live, 286.1MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	24
0	10	24
1	59	24
2	158	24
3	460	24
4	882	24
5	3373	24
0	8158	24

Stop Event

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

Counts

6 → 336

Calls

Call 1

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

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (-.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x)))
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(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.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 (.f64 x x) (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.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))
(/.f64 (pow.f64 (.f64 x x) (.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))) (pow.f64 (.f64 x x) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 0 binary64)) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 (pow.f64 x #s(literal 0 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 (fabs.f64 x) x) (neg.f64 x)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (fabs.f64 x) x) x) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) x) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) x) (pow.f64 x #s(literal 1 binary64)))
(/.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (pow.f64 (.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -3/2 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -3/2 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -3/2 binary64)))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(/.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)))
(/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 0 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))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
eps

eval77.0ms (1.6%)

Memory: -37.4MiB live, 148.7MiB allocated; 36ms collecting garbage
Compiler: Compiled 4 113 to 1 737 computations (57.8% saved)

prune13.0ms (0.3%)

Memory

36.2MiB live, 36.2MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	371	13	384
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	371	14	385

Accuracy

99.6%

Counts

385 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))) (fma.f64 x x (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
▶	58.6%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	58.4%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
▶	58.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	52.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	58.8%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
	58.8%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	29.7%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x))
	46.4%	#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))
	38.3%	#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))
▶	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
▶	48.0%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
	52.8%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 374 to 338 computations (9.6% saved)

series194.0ms (4.1%)

Memory

-27.2MiB live, 207.3MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1400	12108

Stop Event

1×	iter-limit

Counts

26 → 228

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	eps	@	inf	((- x (sqrt (+ (* x x) (neg eps)))) x (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (* 2 x) 2 (- x (sqrt (- (* x x) eps))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) (* x x) (- (* x x) eps) (+ x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (/ (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))))) (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps))))) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))) (* x (sqrt (- (* x x) eps))))
9.0ms	x	@	0	((- x (sqrt (+ (* x x) (neg eps)))) x (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (* 2 x) 2 (- x (sqrt (- (* x x) eps))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) (* x x) (- (* x x) eps) (+ x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (/ (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))))) (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps))))) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))) (* x (sqrt (- (* x x) eps))))
8.0ms	eps	@	0	((- x (sqrt (+ (* x x) (neg eps)))) x (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (* 2 x) 2 (- x (sqrt (- (* x x) eps))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) (* x x) (- (* x x) eps) (+ x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (/ (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))))) (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps))))) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))) (* x (sqrt (- (* x x) eps))))
6.0ms	x	@	-inf	((- x (sqrt (+ (* x x) (neg eps)))) x (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (* 2 x) 2 (- x (sqrt (- (* x x) eps))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) (* x x) (- (* x x) eps) (+ x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (/ (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))))) (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps))))) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))) (* x (sqrt (- (* x x) eps))))
6.0ms	eps	@	-inf	((- x (sqrt (+ (* x x) (neg eps)))) x (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (* 2 x) 2 (- x (sqrt (- (* x x) eps))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) (* x x) (- (* x x) eps) (+ x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (/ (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))))) (- (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps))) (* (* x x) x) (* (sqrt (- (* x x) eps)) (- (* x x) eps)) (+ (* x x) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps))))) (+ (- (* x x) eps) (* x (sqrt (- (* x x) eps)))) (* x (sqrt (- (* x x) eps))))

rewrite580.0ms (12.3%)

Memory

-26.7MiB live, 762.6MiB allocated; 229ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	221
0	50	207
1	257	186
2	994	178
3	4763	178
0	8875	157

Stop Event

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

Counts

26 → 2 467

Calls

Call 1

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

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

eval224.0ms (4.8%)

Memory: 52.6MiB live, 518.3MiB allocated; 63ms collecting garbage
Compiler: Compiled 34 334 to 5 735 computations (83.3% saved)

prune71.0ms (1.5%)

Memory

4.5MiB live, 100.4MiB allocated; 10ms collecting garbage

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 456	8	1 464
Fresh	5	3	8
Picked	3	2	5
Done	0	1	1
Total	1 464	14	1 478

Accuracy

100.0%

Counts

1 478 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	58.4%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	58.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	52.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps)
	46.4%	#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.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))
	52.4%	#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
	43.6%	#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (+.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
	47.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
▶	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
▶	47.8%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
✓	48.0%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
▶	52.8%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 312 to 278 computations (10.9% saved)

series48.0ms (1%)

Memory

-44.9MiB live, 116.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	693	4560

Stop Event

1×	iter-limit

Counts

23 → 120

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (+ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (+ x x) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (neg eps))) -1 (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (* (/ 1 (+ (sqrt (- (* x x) eps)) x)) eps) (/ 1 (+ (sqrt (- (* x x) eps)) x)) 1 (+ (sqrt (- (* x x) eps)) x))
2.0ms	x	@	-inf	((/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (+ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (+ x x) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (neg eps))) -1 (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (* (/ 1 (+ (sqrt (- (* x x) eps)) x)) eps) (/ 1 (+ (sqrt (- (* x x) eps)) x)) 1 (+ (sqrt (- (* x x) eps)) x))
2.0ms	eps	@	-inf	((/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (+ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (+ x x) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (neg eps))) -1 (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (* (/ 1 (+ (sqrt (- (* x x) eps)) x)) eps) (/ 1 (+ (sqrt (- (* x x) eps)) x)) 1 (+ (sqrt (- (* x x) eps)) x))
2.0ms	x	@	inf	((/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (+ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (+ x x) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (neg eps))) -1 (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (* (/ 1 (+ (sqrt (- (* x x) eps)) x)) eps) (/ 1 (+ (sqrt (- (* x x) eps)) x)) 1 (+ (sqrt (- (* x x) eps)) x))
2.0ms	eps	@	0	((/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (+ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (+ x x) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (neg eps))) -1 (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (* (/ 1 (+ (sqrt (- (* x x) eps)) x)) eps) (/ 1 (+ (sqrt (- (* x x) eps)) x)) 1 (+ (sqrt (- (* x x) eps)) x))

rewrite296.0ms (6.3%)

Memory

30.4MiB live, 496.5MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	149
0	43	147
1	179	133
2	520	129
3	1987	129
0	8712	118

Stop Event

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

Counts

23 → 2 172

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)))
(.f64 (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(approx (- (* x x) (- (* x x) eps)) eps))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 1 binary64))
(.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 2 binary64)) (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps))) #s(literal 4 binary64))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps))) (.f64 #s(literal 4 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 #s(literal 4 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 #s(literal -2 binary64) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps))) (.f64 #s(literal -2 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (.f64 #s(literal -2 binary64) #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 (exp.f64 (.f64 x x)) (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps))) (.f64 (exp.f64 (.f64 x x)) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 (exp.f64 (.f64 x x)) #s(approx (- (* x x) (- (* x x) eps)) eps)) (.f64 (exp.f64 (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps))) (.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (.f64 #s(literal 2 binary64) #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) #s(literal 4 binary64)) (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 4 binary64)))
(/.f64 (.f64 (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) #s(literal -2 binary64)) (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (exp.f64 (.f64 x x))) (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (exp.f64 (.f64 x x))))
(/.f64 (.f64 (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) #s(literal 2 binary64)) (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(literal 4 binary64)) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 4 binary64)))
(/.f64 (.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(literal -2 binary64)) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -2 binary64)))
(/.f64 (.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (exp.f64 (.f64 x x))) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (exp.f64 (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps))) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps))) (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps))) (.f64 (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps))) (.f64 (.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps))) (.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (+.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(approx (- (* x x) (- (* x x) eps)) eps)) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(approx (- ( x x) (- (* x x) eps)) eps)))
(/.f64 (/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 1 binary64))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 1 binary64)))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(neg.f64 (/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (pow.f64 (cosh.f64 (.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (.f64 (sinh.f64 (.f64 x x)) (sinh.f64 (.f64 (neg.f64 x) x))) (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 #s(literal 0 binary64) #s(approx (- ( x x) (- (* x x) eps)) eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 (.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 (.f64 #s(literal 0 binary64) #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 #s(literal 0 binary64) (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(approx (- (* x x) (- (* x x) eps)) eps)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (/.f64 (.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps)) (/.f64 (.f64 #s(literal 0 binary64) #s(approx (- ( x x) (- (* x x) eps)) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(fma.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(literal 0 binary64))))
(fma.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 #s(literal 0 binary64) #s(approx (- (* x x) (- (* x x) eps)) eps))))
(fma.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 #s(approx (- ( x x) (- (* x x) eps)) eps))))
(fma.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (.f64 #s(approx (- ( x x) (- (* x x) eps)) eps) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (.f64 #s(literal 0 binary64) #s(approx (- ( x x) (- (* x x) eps)) eps)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(fma.f64 (neg.f64 #s(approx (- (* x x) (- (* x x) eps)) eps)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
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(fma.f64 x x (neg.f64 (fma.f64 x x eps)))
(sqrt.f64 (*.f64 eps eps))
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(-.f64 (.f64 (neg.f64 x) x) (-.f64 eps (.f64 x x)))
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(-.f64 (neg.f64 eps) #s(literal 0 binary64))
(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))
(-.f64 (*.f64 x x) (fma.f64 x x eps))
(fabs.f64 (neg.f64 eps))
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(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 (neg.f64 x) x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x x)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 (sinh.f64 (.f64 x x)) (sinh.f64 (.f64 (neg.f64 x) x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
#s(literal 1 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 (.f64 x x) eps) (+.f64 (.f64 x x) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (neg.f64 eps) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) x)
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 x x) eps) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 0 binary64)) x)
(-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 x))
(-.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

eval551.0ms (11.7%)

Memory: 38.1MiB live, 865.5MiB allocated; 239ms collecting garbage
Compiler: Compiled 29 092 to 7 880 computations (72.9% saved)

prune48.0ms (1%)

Memory

13.3MiB live, 151.0MiB allocated; 15ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	2 494	6	2 500
Fresh	3	3	6
Picked	1	4	5
Done	1	2	3
Total	2 499	15	2 514

Accuracy

100.0%

Counts

2 514 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	99.5%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x))
▶	99.6%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	56.2%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	58.4%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	58.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	52.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
✓	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps)
	48.0%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 eps (+.f64 x x)))
	47.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
✓	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
✓	47.8%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
▶	53.4%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (fabs.f64 eps))))
▶	52.8%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 269 to 248 computations (7.8% saved)

series154.0ms (3.3%)

Memory

-7.4MiB live, 241.4MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1439	11690

Stop Event

1×	iter-limit

Counts

25 → 213

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	x	@	inf	((/ (- (* x x) (- (* x x) eps)) (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps))) (+ 1 (/ x (sqrt (- (* x x) eps)))) 1 (/ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (fabs eps))) -1 (sqrt (fabs eps)) (fabs eps) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (neg eps))) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))))
11.0ms	eps	@	0	((/ (- (* x x) (- (* x x) eps)) (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps))) (+ 1 (/ x (sqrt (- (* x x) eps)))) 1 (/ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (fabs eps))) -1 (sqrt (fabs eps)) (fabs eps) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (neg eps))) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))))
10.0ms	x	@	-inf	((/ (- (* x x) (- (* x x) eps)) (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps))) (+ 1 (/ x (sqrt (- (* x x) eps)))) 1 (/ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (fabs eps))) -1 (sqrt (fabs eps)) (fabs eps) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (neg eps))) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))))
4.0ms	eps	@	inf	((/ (- (* x x) (- (* x x) eps)) (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps))) (+ 1 (/ x (sqrt (- (* x x) eps)))) 1 (/ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (fabs eps))) -1 (sqrt (fabs eps)) (fabs eps) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (neg eps))) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))))
4.0ms	eps	@	-inf	((/ (- (* x x) (- (* x x) eps)) (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps)))) (- (* x x) (- (* x x) eps)) eps (* (+ 1 (/ x (sqrt (- (* x x) eps)))) (sqrt (- (* x x) eps))) (+ 1 (/ x (sqrt (- (* x x) eps)))) 1 (/ x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (* -1 (sqrt (fabs eps))) -1 (sqrt (fabs eps)) (fabs eps) (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (neg eps))) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))))

rewrite258.0ms (5.5%)

Memory

-8.2MiB live, 454.8MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	210
0	50	184
1	222	166
2	790	154
3	3677	154
0	8195	143

Stop Event

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

Counts

25 → 1 544

Calls

Call 1

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

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

eval306.0ms (6.5%)

Memory: 12.8MiB live, 550.1MiB allocated; 159ms collecting garbage
Compiler: Compiled 39 710 to 8 319 computations (79.1% saved)

prune40.0ms (0.9%)

Memory

-31.4MiB live, 112.9MiB allocated; 9ms collecting garbage

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	1 993	3	1 996
Fresh	0	4	4
Picked	2	3	5
Done	0	6	6
Total	1 995	16	2 011

Accuracy

100.0%

Counts

2 011 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	99.5%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x))
	99.6%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64))))
✓	56.2%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (neg.f64 eps)))))
	60.3%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (fabs.f64 eps)))))
✓	58.4%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	58.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	52.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
✓	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps)
	48.0%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 eps (+.f64 x x)))
	47.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
✓	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
✓	47.8%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
✓	52.8%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
	53.4%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (fabs.f64 eps))))

Compiler

Compiled 472 to 303 computations (35.8% saved)

regimes29.0ms (0.6%)

Memory

33.8MiB live, 72.5MiB allocated; 5ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
8.0ms	eps
8.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.4%)

Memory

6.7MiB live, 48.7MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.4%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
87.1%	2	`x`
77.7%	2	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.3%)

Memory

-19.7MiB live, 21.0MiB allocated; 12ms collecting garbage

Counts

15 → 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))
#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))))
#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) (sqrt.f64 (fabs.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 eps (+.f64 x x)))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ 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(literal 1/2 binary64) x) eps))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (fabs.f64 eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
97.4%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

14 → 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))
#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))))
#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) (sqrt.f64 (fabs.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 eps (+.f64 x x)))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ 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(literal 1/2 binary64) x) eps))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) #s(approx (+ x (sqrt (- (* x x) eps))) (+.f64 x (sqrt.f64 (fabs.f64 eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))))

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
94.6%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes4.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

11 → 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))
#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))))
#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) (sqrt.f64 (fabs.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 eps (+.f64 x x)))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ 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(literal 1/2 binary64) x) eps))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
94.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes41.0ms (0.9%)

Memory

-45.7MiB live, 14.2MiB allocated; 51ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	eps
2.0ms	x
2.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
53.4%	1	`eps`
53.4%	1	`x`
53.4%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

Calls

3 calls:

2.0ms	x
1.0ms	eps
1.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
52.8%	1	`x`
52.8%	1	`eps`
52.8%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	eps
1.0ms	x
1.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`eps`
3.5%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3324431391136569e-151	0.0

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3324431391136569e-151	0.0

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3324431391136569e-151	0.0

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3324431391136569e-151	0.0

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations193.0ms (4.1%)

Memory

-9.7MiB live, 173.1MiB allocated; 31ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 73 to 41 computations (43.8% saved)

preprocess63.0ms (1.4%)

Memory: 12.2MiB live, 147.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 86 to 54 computations (37.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze14.0ms (0.3%)

sample1.2s (25%)

preprocess53.0ms (1.1%)

series23.0ms (0.5%)

rewrite197.0ms (4.2%)

eval77.0ms (1.6%)

prune13.0ms (0.3%)

series194.0ms (4.1%)

rewrite580.0ms (12.3%)

eval224.0ms (4.8%)

prune71.0ms (1.5%)

series48.0ms (1%)

rewrite296.0ms (6.3%)

eval551.0ms (11.7%)

prune48.0ms (1%)

series154.0ms (3.3%)

rewrite258.0ms (5.5%)

eval306.0ms (6.5%)

prune40.0ms (0.9%)

regimes29.0ms (0.6%)

regimes21.0ms (0.4%)

regimes16.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes41.0ms (0.9%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations193.0ms (4.1%)

preprocess63.0ms (1.4%)

end0.0ms (0%)

Profiling