Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

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

analyze17.0ms (0.5%)

Memory

-9.3MiB live, 36.8MiB allocated; 8ms 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)

sample989.0ms (27%)

Memory

25.7MiB live, 1 371.9MiB allocated; 382ms collecting garbage

Samples

361.0ms	2 698×	1	valid
284.0ms	4 881×	0	valid
84.0ms	677×	2	valid
15.0ms	179×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 490.0ms

ival-sub!: 143.0ms (29.2% of total)

ival-sqrt: 136.0ms (27.8% of total)

adjust: 130.0ms (26.5% of total)

ival-mult!: 81.0ms (16.5% of total)

Bogosity

preprocess39.0ms (1.1%)

Memory

-1.9MiB live, 44.3MiB allocated; 4ms 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
▶	60.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 16 to 12 computations (25% saved)

series19.0ms (0.5%)

Memory

41.4MiB live, 41.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1452

Stop Event

1×	iter-limit

Counts

6 → 54

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite136.0ms (3.7%)

Memory

-31.8MiB live, 180.8MiB allocated; 29ms 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	4953	24

Stop Event

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

Counts

6 → 275

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

eval38.0ms (1%)

Memory: -13.4MiB live, 78.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 085 to 1 534 computations (78.3% saved)

prune11.0ms (0.3%)

Memory

27.2MiB live, 27.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	312	11	323
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	312	12	324

Accuracy

99.5%

Counts

324 → 12

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))))))
	60.2%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	59.8%	(-.f64 x (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
✓	60.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	55.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	60.2%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
▶	60.4%	(.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))))
	43.6%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x))
▶	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 2 binary64) x))
	46.0%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
	55.2%	#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))))))
▶	55.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 410 to 242 computations (41% saved)

series91.0ms (2.5%)

Memory

-20.2MiB live, 169.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1383	11407

Stop Event

1×	iter-limit

Counts

24 → 265

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
9.0ms	eps	-inf
8.0ms	eps	0
7.0ms	x	0
6.0ms	x	inf
5.0ms	eps	inf

rewrite116.0ms (3.2%)

Memory

-6.2MiB live, 183.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	173
0	45	141
1	169	137
2	646	137
0	2893	124

Stop Event

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

Counts

24 → 942

Calls

Call 1

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

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

eval232.0ms (6.3%)

Memory: 49.8MiB live, 367.3MiB allocated; 149ms collecting garbage
Compiler: Compiled 47 761 to 5 467 computations (88.6% saved)

prune81.0ms (2.2%)

Memory

-33.3MiB live, 112.7MiB allocated; 58ms collecting garbage

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 340	19	1 359
Fresh	3	3	6
Picked	4	1	5
Done	0	1	1
Total	1 347	24	1 371

Accuracy

99.7%

Counts

1 371 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.4%	(fma.f64 (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal -1 binary64) x) x)
	59.8%	(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x (-.f64 (.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	60.2%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	45.9%	(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
	55.1%	(-.f64 x (.f64 (sqrt.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))))
✓	60.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	55.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	60.1%	(.f64 (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))
	60.0%	(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) x)
▶	59.7%	(.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x (-.f64 (.f64 x x) eps)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))))
	27.5%	(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (*.f64 x x)) x)
	59.7%	(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x)
▶	27.5%	(.f64 (/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) (.f64 x x)) x)
	59.8%	(.f64 (-.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 x (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
✓	60.2%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
	60.1%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) x)
	60.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x)
▶	60.4%	(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)))
	45.0%	(.f64 #s(approx (- 1 (/ (sqrt (- ( x x) eps)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) x)
▶	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
	46.0%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
	55.5%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
	40.3%	#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (fma.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))))
	44.2%	#s(approx (* (+ 1 (/ x (neg (sqrt (- (* x x) eps))))) (neg (sqrt (- (* x x) eps)))) (fma.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))

Compiler

Compiled 960 to 521 computations (45.7% saved)

series76.0ms (2.1%)

Memory

3.8MiB live, 97.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1326	11168

Stop Event

1×	iter-limit

Counts

21 → 255

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
9.0ms	eps	0
4.0ms	x	inf
4.0ms	eps	inf
3.0ms	eps	-inf
3.0ms	x	-inf

rewrite158.0ms (4.3%)

Memory

21.5MiB live, 200.2MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	180
0	42	189
1	181	183
2	629	138
3	3268	138
0	4060	138

Stop Event

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

Counts

21 → 1 874

Calls

Call 1

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

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

eval270.0ms (7.4%)

Memory: -8.1MiB live, 368.9MiB allocated; 115ms collecting garbage
Compiler: Compiled 59 107 to 6 282 computations (89.4% saved)

prune52.0ms (1.4%)

Memory

4.9MiB live, 104.3MiB allocated; 11ms collecting garbage

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1 897	14	1 911
Fresh	6	11	17
Picked	1	4	5
Done	0	2	2
Total	1 904	31	1 935

Accuracy

99.8%

Counts

1 935 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps) x)
	59.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (neg.f64 eps) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
	45.4%	(fma.f64 (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal -1 binary64) x) x)
	45.7%	(/.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 x) (.f64 x x)) x)
	59.8%	(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x (-.f64 (.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	60.2%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	45.9%	(/.f64 (-.f64 (.f64 x x) (.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) x)
✓	45.9%	(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
	40.3%	(/.f64 #s(approx (* (- x (sqrt (- (* x x) eps))) x) (fma.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (*.f64 x (-.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) x)
	46.0%	(/.f64 #s(approx (* (- x (sqrt (- (* x x) eps))) x) (*.f64 #s(literal 1/2 binary64) eps)) x)
▶	55.1%	(-.f64 x (.f64 (sqrt.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))))
✓	60.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	55.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
▶	60.1%	(.f64 (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))
	60.0%	(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) x)
	60.0%	(.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (neg.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	59.7%	(.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x (-.f64 (.f64 x x) eps)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))))
	27.5%	(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (*.f64 x x)) x)
	59.7%	(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x)
	45.0%	(.f64 (/.f64 #s(approx ( (- x (sqrt (- (* x x) eps))) x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x)) x)
	59.8%	(.f64 (-.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 x (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
✓	60.2%	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) x)
▶	27.8%	(.f64 (.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 x x)) x) x)
	27.4%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 x x))) (.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	60.4%	(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (-.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)))
✓	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
▶	55.5%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
	40.3%	#s(approx (* (- 1 (/ (sqrt (- (* x x) eps)) x)) x) (fma.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x)))))
	55.1%	#s(approx (* (+ (* (neg (sqrt (- (* x x) eps))) x) (- (* x x) eps)) (/ -1 (sqrt (- (* x x) eps)))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
	55.1%	#s(approx (* (+ (* (neg (sqrt (- (* x x) eps))) x) (- (* x x) eps)) (/ -1 (sqrt (- (* x x) eps)))) (+.f64 x (/.f64 eps (sqrt.f64 (neg.f64 eps)))))
	44.2%	#s(approx (* (sqrt (- (* x x) eps)) (- (/ x (sqrt (- (* x x) eps))) 1)) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))

Compiler

Compiled 1 304 to 668 computations (48.8% saved)

series129.0ms (3.5%)

Memory

7.0MiB live, 187.2MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1978	16936

Stop Event

1×	iter-limit

Counts

28 → 324

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
16.0ms	eps	0
6.0ms	eps	-inf
6.0ms	eps	inf
5.0ms	x	0
4.0ms	x	inf

rewrite144.0ms (3.9%)

Memory

26.1MiB live, 214.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	278
0	57	230
1	235	208
2	979	196
0	4050	173

Stop Event

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

Counts

28 → 1 357

Calls

Call 1

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

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

eval802.0ms (21.9%)

Memory: -109.4MiB live, 336.4MiB allocated; 1.2s collecting garbage
Compiler: Compiled 58 995 to 6 816 computations (88.4% saved)

prune39.0ms (1.1%)

Memory

-5.1MiB live, 85.8MiB allocated; 15ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 488	5	1 493
Fresh	16	4	20
Picked	3	2	5
Done	3	3	6
Total	1 510	14	1 524

Accuracy

100.0%

Counts

1 524 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.3%	(/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) eps)) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
✓	45.9%	(/.f64 (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x) x)
	99.5%	(/.f64 #s(approx (- (* x x) (- (* x x) eps)) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	46.0%	(/.f64 #s(approx (* (- x (sqrt (- (* x x) eps))) x) (*.f64 #s(literal 1/2 binary64) eps)) x)
✓	55.1%	(-.f64 x (.f64 (sqrt.f64 #s(approx (sqrt (- ( x x) eps)) (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))))
✓	60.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	55.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps))))
	45.0%	(.f64 (/.f64 #s(approx ( (- x (sqrt (- (* x x) eps))) x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x)) x)
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (-.f64 eps #s(literal 0 binary64)))
	55.1%	#s(approx (/ (- (* x x) (- (* x x) eps)) (+ x (sqrt (- (* x x) eps)))) (/.f64 eps (sqrt.f64 (neg.f64 eps))))
✓	3.4%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
✓	55.5%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
	56.1%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (fabs.f64 (neg.f64 eps)))))
	55.1%	#s(approx (* (+ (* (neg (sqrt (- (* x x) eps))) x) (- (* x x) eps)) (/ -1 (sqrt (- (* x x) eps)))) (+.f64 x (/.f64 eps (sqrt.f64 (neg.f64 eps)))))

Compiler

Compiled 260 to 148 computations (43.1% saved)

regimes100.0ms (2.7%)

Memory

33.2MiB live, 174.3MiB allocated; 35ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

3 → 1

8 → 1

11 → 2

13 → 2

50 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

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

Call 6

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

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

Calls

16 calls:

23.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
17.0ms	eps
12.0ms	x
8.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
4.0ms	eps

Results

Accuracy	Segments	Branch
3.4%	1	`x`
3.4%	1	`eps`
3.4%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
55.5%	1	`x`
55.5%	1	`eps`
55.5%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
56.1%	1	`eps`
56.1%	1	`x`
56.1%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
96.1%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
98.6%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
88.5%	2	`x`
78.9%	2	`eps`
99.5%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 1 171 to 275 computations (76.5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5064660709893493e-153	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5064660709893493e-153	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

derivations74.0ms (2%)

Memory

-4.1MiB live, 87.2MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 129 to 34 computations (73.6% saved)

preprocess44.0ms (1.2%)

Memory: -17.3MiB live, 85.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 147 to 47 computations (68% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze17.0ms (0.5%)

sample989.0ms (27%)

preprocess39.0ms (1.1%)

series19.0ms (0.5%)

rewrite136.0ms (3.7%)

eval38.0ms (1%)

prune11.0ms (0.3%)

series91.0ms (2.5%)

rewrite116.0ms (3.2%)

eval232.0ms (6.3%)

prune81.0ms (2.2%)

series76.0ms (2.1%)

rewrite158.0ms (4.3%)

eval270.0ms (7.4%)

prune52.0ms (1.4%)

series129.0ms (3.5%)

rewrite144.0ms (3.9%)

eval802.0ms (21.9%)

prune39.0ms (1.1%)

regimes100.0ms (2.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations74.0ms (2%)

preprocess44.0ms (1.2%)

end0.0ms (0%)

Profiling