Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

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

analyze11.0ms (0.5%)

Memory

28.2MiB live, 28.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.2s (52%)

Memory

31.6MiB live, 990.7MiB allocated; 915ms collecting garbage

Samples

477.0ms	4 744×	0	valid
278.0ms	2 757×	1	valid
94.0ms	755×	2	valid
22.0ms	164×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-sqrt: 100.0ms (28.9% of total)

adjust: 94.0ms (27.1% of total)

ival-sub!: 79.0ms (22.8% of total)

ival-mult!: 73.0ms (21.1% of total)

Bogosity

preprocess111.0ms (5%)

Memory

-19.7MiB live, 26.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	44	54
2	80	54
3	132	54
4	352	54
5	1951	54
6	4598	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 12 to 12 computations (0% saved)

series9.0ms (0.4%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

6 → 50

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))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)
2.0ms	x	@	inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)
1.0ms	eps	@	-inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)
1.0ms	x	@	0	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)
1.0ms	x	@	-inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps)

rewrite74.0ms (3.3%)

Memory

35.8MiB live, 79.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1513
0	320	1391
0	1743	1340

Stop Event

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

Counts

56 → 66

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
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))

Outputs
(/.f64 (-.f64 (.f64 x x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
x
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 eps eps)) (fma.f64 x x eps))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 eps eps (.f64 (*.f64 x x) eps))))
(-.f64 (*.f64 x x) eps)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
eps
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (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 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))))) x #s(literal 1 binary64)) x) (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)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 eps))))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (sqrt.f64 (neg.f64 eps))))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) (/.f64 (.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps))) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (.f64 x x))) (.f64 x x) (sqrt.f64 (neg.f64 eps))))
#s(approx (- (* x x) eps) (neg.f64 eps))
#s(approx (- (* x x) eps) (-.f64 (*.f64 x x) eps))
#s(approx (* x x) (*.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 5/64 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps eps)) (.f64 x x))))) x))
#s(approx (sqrt (- (* x x) eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (* x x) eps)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (* x x) eps)) (.f64 x (+.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
#s(approx (- (* x x) eps) (.f64 (+.f64 (/.f64 (neg.f64 eps) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64))))))
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 x) (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) eps)) (neg.f64 (.f64 x (+.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64))) eps (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (-.f64 (.f64 (/.f64 eps (.f64 (*.f64 x x) x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)) eps x))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) eps) (/.f64 #s(literal 1/2 binary64) x)) eps x))
#s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps)))
#s(approx eps eps)
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (-.f64 (/.f64 x eps) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal -1/2 binary64) (-.f64 (/.f64 x eps) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) #s(literal 1/8 binary64) (/.f64 x eps)) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))) eps))
#s(approx (sqrt (- (* x x) eps)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) eps))
#s(approx (sqrt (- (* x x) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))) eps))
#s(approx (sqrt (- (* x x) eps)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 eps #s(literal -7 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) eps))
#s(approx (- (* x x) eps) (.f64 (-.f64 (/.f64 (.f64 x x) eps) #s(literal 1 binary64)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) #s(literal 1/2 binary64) x) eps)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) eps)) x) eps)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 eps) (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 eps) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 eps) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 eps #s(literal -7 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))))))
#s(approx (- (* x x) eps) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (.f64 x x) eps)) #s(literal 1 binary64))))

eval39.0ms (1.7%)

Memory: -31.6MiB live, 20.7MiB allocated; 14ms collecting garbage
Compiler: Compiled 941 to 362 computations (61.5% saved)

prune5.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Accuracy

99.9%

Counts

61 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.9%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	57.3%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	43.6%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
	32.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))) x))
▶	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
▶	45.9%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
▶	57.0%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))))
▶	57.8%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 190 to 184 computations (3.2% saved)

series20.0ms (0.9%)

Memory

-7.9MiB live, 38.2MiB allocated; 4ms collecting garbage

Counts

25 → 66

Calls

Call 1

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

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (* (/ eps x) 1/2) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (+ x (* (sqrt eps) (sqrt -1)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
#s(approx (/ (neg x) eps) #s(hole binary64 (* -1 (/ x eps))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* x (+ 1 (* (sqrt eps) (/ (sqrt -1) x))))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* x (- (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (/ 1 eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt eps) (/ (sqrt -1) x))) 1)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (/ 1 eps))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (- (* -1 x) (* (sqrt eps) (sqrt -1))))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (/ (- (* -1 x) (* (sqrt eps) (sqrt -1))) eps)))
#s(approx (sqrt (* (/ 1 eps) -1)) #s(hole binary64 (* (sqrt (/ 1 eps)) (sqrt -1))))
#s(approx (* (/ 1 eps) -1) #s(hole binary64 (/ -1 eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (+ x x) x (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (/ (neg x) eps) (neg x) (sqrt (* (/ 1 eps) -1)) (* (/ 1 eps) -1) (/ 1 eps) 1 -1)
4.0ms	x	@	0	((- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (+ x x) x (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (/ (neg x) eps) (neg x) (sqrt (* (/ 1 eps) -1)) (* (/ 1 eps) -1) (/ 1 eps) 1 -1)
3.0ms	eps	@	0	((- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (+ x x) x (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (/ (neg x) eps) (neg x) (sqrt (* (/ 1 eps) -1)) (* (/ 1 eps) -1) (/ 1 eps) 1 -1)
3.0ms	eps	@	inf	((- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (+ x x) x (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (/ (neg x) eps) (neg x) (sqrt (* (/ 1 eps) -1)) (* (/ 1 eps) -1) (/ 1 eps) 1 -1)
2.0ms	eps	@	-inf	((- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (+ x x) x (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (/ (neg x) eps) (neg x) (sqrt (* (/ 1 eps) -1)) (* (/ 1 eps) -1) (/ 1 eps) 1 -1)

rewrite77.0ms (3.5%)

Memory

20.4MiB live, 66.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	1979
0	404	1753
0	2020	1702

Stop Event

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

Counts

91 → 133

Calls

Call 1

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(neg.f64 (sqrt.f64 (neg.f64 eps)))
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
eps
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
(+.f64 x x)
x
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
#s(approx (- (* x x) eps) (neg.f64 eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(/.f64 eps x)
#s(literal 1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(/.f64 (neg.f64 x) eps)
(neg.f64 x)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (* (/ eps x) 1/2) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (+ x (* (sqrt eps) (sqrt -1)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
#s(approx (/ (neg x) eps) #s(hole binary64 (* -1 (/ x eps))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* x (+ 1 (* (sqrt eps) (/ (sqrt -1) x))))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* x (- (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (/ 1 eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt eps) (/ (sqrt -1) x))) 1)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (/ 1 eps))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (- (* -1 x) (* (sqrt eps) (sqrt -1))))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (/ (- (* -1 x) (* (sqrt eps) (sqrt -1))) eps)))
#s(approx (sqrt (* (/ 1 eps) -1)) #s(hole binary64 (* (sqrt (/ 1 eps)) (sqrt -1))))
#s(approx (* (/ 1 eps) -1) #s(hole binary64 (/ -1 eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))))

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (neg.f64 eps)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 eps)))
(neg.f64 (sqrt.f64 (neg.f64 eps)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (neg.f64 eps) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 eps))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
eps
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(+.f64 x x)
x
(/.f64 (-.f64 (.f64 x x) (.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))) (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) (.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(pow.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
#s(approx (- (* x x) eps) (neg.f64 eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(/.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 eps x)
#s(literal 1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (neg.f64 eps)))
(.f64 (.f64 (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (neg.f64 eps))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
(neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 x) eps) (/.f64 (neg.f64 x) eps)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (+.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 x) eps) (/.f64 (neg.f64 x) eps) (fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
(fma.f64 (/.f64 x eps) #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
(+.f64 (/.f64 (neg.f64 x) eps) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 x eps) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x eps))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 eps))
(/.f64 (neg.f64 x) eps)
(neg.f64 (/.f64 x eps))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)))
(pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal -1 binary64) eps))
(*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(/.f64 #s(literal 1 binary64) (neg.f64 eps))
(pow.f64 eps #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 eps))
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (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 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))))) x #s(literal 1 binary64)) x) (sqrt.f64 (neg.f64 eps))))
#s(approx (+ x x) (+.f64 x x))
#s(approx x x)
#s(approx (sqrt (- (* x x) eps)) (sqrt.f64 (neg.f64 eps)))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 eps))))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (sqrt.f64 (neg.f64 eps))))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) (/.f64 (.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps))) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (.f64 x x))) (.f64 x x) (sqrt.f64 (neg.f64 eps))))
#s(approx (- (* x x) eps) (neg.f64 eps))
#s(approx (- (* x x) eps) (-.f64 (*.f64 x x) eps))
#s(approx (* (/ eps x) 1/2) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
#s(approx (/ eps x) (/.f64 eps x))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (+.f64 (sqrt.f64 (neg.f64 eps)) x))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (/ (neg x) eps) (/.f64 (neg.f64 x) eps))
#s(approx (neg x) (neg.f64 x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 5/64 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps eps)) (.f64 x x))))) x))
#s(approx (sqrt (- (* x x) eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (* x x) eps)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (* x x) eps)) (.f64 x (+.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
#s(approx (- (* x x) eps) (*.f64 x x))
#s(approx (- (* x x) eps) (.f64 (+.f64 (/.f64 (neg.f64 eps) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) x) #s(literal 1 binary64)) x))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x)) (/.f64 #s(literal 1 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/16 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64))))))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 x) (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) eps)) (neg.f64 (.f64 x (+.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) x)) #s(literal 1 binary64))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64))) eps (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx eps eps)
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (-.f64 (.f64 (/.f64 eps (.f64 (*.f64 x x) x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)) eps x))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) eps) (/.f64 #s(literal 1/2 binary64) x)) eps x))
#s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (/.f64 (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps))) eps))
#s(approx (sqrt (* (/ 1 eps) -1)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
#s(approx (* (/ 1 eps) -1) (/.f64 #s(literal -1 binary64) eps))
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (-.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal -1/2 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) #s(literal 1/8 binary64) (-.f64 (/.f64 x eps) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))
#s(approx (sqrt (- (* x x) eps)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
#s(approx (sqrt (- (* x x) eps)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) eps))
#s(approx (sqrt (- (* x x) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 eps #s(literal -7 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))
#s(approx (- (* x x) eps) (.f64 (-.f64 (/.f64 (.f64 x x) eps) #s(literal 1 binary64)) eps))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (neg.f64 eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) #s(literal 1/2 binary64) x) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (.f64 eps (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) eps)) x) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 eps) (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (sqrt (- (* x x) eps)) (.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 eps #s(literal -7 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (* x x) eps) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (.f64 x x) eps)) #s(literal 1 binary64))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))

eval30.0ms (1.4%)

Memory: -22.1MiB live, 24.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 399 to 577 computations (58.8% saved)

prune5.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	116	9	125

Accuracy

99.9%

Counts

125 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.9%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	57.3%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	43.6%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
▶	32.8%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))) x))
✓	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
✓	45.9%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
▶	57.5%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) #s(approx (- (/ (neg x) eps) (sqrt ( (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
✓	57.8%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
▶	57.0%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)))

Compiler

Compiled 127 to 124 computations (2.4% saved)

series48.0ms (2.1%)

Memory

12.0MiB live, 71.9MiB allocated; 25ms collecting garbage

Counts

36 → 85

Calls

Call 1

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

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (+ x (* (sqrt eps) (sqrt -1)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* (sqrt (/ 1 eps)) (sqrt -1))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* 1/16 (/ (pow eps 3) (pow x 5)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 5))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 5))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* 1/16 (/ (pow eps 3) (pow x 4)))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 4))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (- (* 1/2 (* eps (pow x 2))) (* -1/8 (pow eps 2))))) (pow x 4))))
#s(approx (/ (* (* eps eps) eps) (* (* x x) (* x x))) #s(hole binary64 (/ (pow eps 3) (pow x 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (* -1/8 (/ (pow eps 2) (pow x 2)))))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (/ (+ (* -1/2 (* eps (pow x 2))) (* -1/8 (pow eps 2))) (pow x 2))))
#s(approx (/ (* eps eps) (* x x)) #s(hole binary64 (/ (pow eps 2) (pow x 2))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 3)))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 2)))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* x (+ 1 (* (sqrt eps) (/ (sqrt -1) x))))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (/ 1 eps)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (/ x eps))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* x (- (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (/ 1 eps)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt eps) (/ (sqrt -1) x))) 1)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (/ 1 eps))))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (/ 1 eps))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (- (* -1 x) (* (sqrt eps) (sqrt -1))))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (/ (+ x (* (sqrt eps) (sqrt -1))) eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (/ -1 eps) #s(hole binary64 (/ -1 eps)))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (/ (- (* -1 x) (* (sqrt eps) (sqrt -1))) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* eps (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (* eps (- (* -1/8 (/ eps (pow x 2))) 1/2))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* (pow eps 3) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 2)))) (* 1/16 (/ 1 (pow x 4)))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (/ 1/8 (* eps (pow x 2))) (+ (/ 1/2 (pow eps 2)) (* 1/16 (/ 1 (pow x 4))))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow eps 2) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps)))))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))) eps)) (* 1/16 (/ 1 (pow x 5))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (* 1/16 (/ 1 (pow x 4))) (* 1/8 (/ 1 (* eps (pow x 2))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))) eps)) (* 1/16 (/ 1 (pow x 4))))))))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (/ x eps) x eps (sqrt (/ -1 eps)) (/ -1 eps) -1 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (neg (sqrt (/ -1 eps))) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (/ (* (* eps eps) eps) (* (* x x) (* x x))) (* (* eps eps) eps) (* eps eps) (* (* x x) (* x x)) (* x x) 1/16 (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (/ (* eps eps) (* x x)) -1/8 (* -1/2 eps) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) 1/8 (* 1/2 eps) 1/2)
7.0ms	x	@	0	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (/ x eps) x eps (sqrt (/ -1 eps)) (/ -1 eps) -1 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (neg (sqrt (/ -1 eps))) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (/ (* (* eps eps) eps) (* (* x x) (* x x))) (* (* eps eps) eps) (* eps eps) (* (* x x) (* x x)) (* x x) 1/16 (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (/ (* eps eps) (* x x)) -1/8 (* -1/2 eps) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) 1/8 (* 1/2 eps) 1/2)
6.0ms	eps	@	inf	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (/ x eps) x eps (sqrt (/ -1 eps)) (/ -1 eps) -1 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (neg (sqrt (/ -1 eps))) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (/ (* (* eps eps) eps) (* (* x x) (* x x))) (* (* eps eps) eps) (* eps eps) (* (* x x) (* x x)) (* x x) 1/16 (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (/ (* eps eps) (* x x)) -1/8 (* -1/2 eps) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) 1/8 (* 1/2 eps) 1/2)
5.0ms	eps	@	-inf	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (/ x eps) x eps (sqrt (/ -1 eps)) (/ -1 eps) -1 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (neg (sqrt (/ -1 eps))) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (/ (* (* eps eps) eps) (* (* x x) (* x x))) (* (* eps eps) eps) (* eps eps) (* (* x x) (* x x)) (* x x) 1/16 (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (/ (* eps eps) (* x x)) -1/8 (* -1/2 eps) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) 1/8 (* 1/2 eps) 1/2)
5.0ms	eps	@	0	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (/ x eps) x eps (sqrt (/ -1 eps)) (/ -1 eps) -1 (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (neg (sqrt (/ -1 eps))) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (/ (* (* eps eps) eps) (* (* x x) (* x x))) (* (* eps eps) eps) (* eps eps) (* (* x x) (* x x)) (* x x) 1/16 (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (/ (* eps eps) (* x x)) -1/8 (* -1/2 eps) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) 1/8 (* 1/2 eps) 1/2)

rewrite100.0ms (4.5%)

Memory

-32.8MiB live, 157.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	3051
0	473	2646
0	2262	2605

Stop Event

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

Counts

121 → 211

Calls

Call 1

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
(*.f64 (+.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)
(+.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
(/.f64 x eps)
x
eps
(sqrt.f64 (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) #s(approx (- (/ (neg x) eps) (sqrt ( (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
(.f64 (neg.f64 eps) #s(approx (- (/ (neg x) eps) (sqrt ( (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
(neg.f64 eps)
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))) x)
(-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/16 binary64))
(/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 eps eps) eps)
(*.f64 eps eps)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
#s(literal 1/16 binary64)
(fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))
(/.f64 (.f64 eps eps) (.f64 x x))
#s(literal -1/8 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
(/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x)
(fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps))
#s(literal 1/8 binary64)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (+ x (* (sqrt eps) (sqrt -1)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* (sqrt (/ 1 eps)) (sqrt -1))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* 1/16 (/ (pow eps 3) (pow x 5)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 5))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 5))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* 1/16 (/ (pow eps 3) (pow x 4)))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 4))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (- (* 1/2 (* eps (pow x 2))) (* -1/8 (pow eps 2))))) (pow x 4))))
#s(approx (/ (* (* eps eps) eps) (* (* x x) (* x x))) #s(hole binary64 (/ (pow eps 3) (pow x 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (* -1/8 (/ (pow eps 2) (pow x 2)))))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (/ (+ (* -1/2 (* eps (pow x 2))) (* -1/8 (pow eps 2))) (pow x 2))))
#s(approx (/ (* eps eps) (* x x)) #s(hole binary64 (/ (pow eps 2) (pow x 2))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 3)))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 2)))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* x (+ 1 (* (sqrt eps) (/ (sqrt -1) x))))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (/ 1 eps)))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (/ x eps))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* x (- (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (/ 1 eps)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt eps) (/ (sqrt -1) x))) 1)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (/ 1 eps))))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (/ 1 eps))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (- (* -1 x) (* (sqrt eps) (sqrt -1))))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (/ (+ x (* (sqrt eps) (sqrt -1))) eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (/ -1 eps) #s(hole binary64 (/ -1 eps)))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) #s(hole binary64 (/ (- (* -1 x) (* (sqrt eps) (sqrt -1))) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* eps (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (* eps (- (* -1/8 (/ eps (pow x 2))) 1/2))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* (pow eps 3) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 2)))) (* 1/16 (/ 1 (pow x 4)))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (/ 1/8 (* eps (pow x 2))) (+ (/ 1/2 (pow eps 2)) (* 1/16 (/ 1 (pow x 4))))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow eps 2) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps)))))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))) eps)) (* 1/16 (/ 1 (pow x 5))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (* 1/16 (/ 1 (pow x 4))) (* 1/8 (/ 1 (* eps (pow x 2))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))) eps)) (* 1/16 (/ 1 (pow x 4))))))))

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps)
(*.f64 eps (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps (*.f64 (/.f64 x eps) eps))
(fma.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (*.f64 eps (/.f64 x eps)))
(+.f64 (.f64 eps (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 eps (/.f64 x eps)))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) eps) (.f64 (/.f64 x eps) eps))
(/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 (/.f64 x eps) (/.f64 x eps))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)))
(/.f64 (-.f64 (.f64 (/.f64 x eps) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (-.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
(/.f64 (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 x eps) (/.f64 x eps) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (-.f64 (.f64 (/.f64 x eps) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 x eps))
(+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps))
(+.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (neg.f64 x) (neg.f64 eps))
(/.f64 x eps)
x
eps
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)))
(pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(sqrt.f64 (/.f64 #s(literal -1 binary64) eps))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) eps)
(/.f64 #s(literal 1 binary64) (neg.f64 eps))
#s(literal -1 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(approx (- (/ (neg x) eps) (sqrt ( (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (neg.f64 eps)))
(.f64 #s(approx (- (/ (neg x) eps) (sqrt ( (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))) (neg.f64 eps))
(.f64 (neg.f64 eps) #s(approx (- (/ (neg x) eps) (sqrt ( (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
(neg.f64 (.f64 eps #s(approx (- (/ (neg x) eps) (sqrt ( (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps)))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps))) x)
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) x) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal -1/2 binary64) eps)))) (fma.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x))) (.f64 #s(literal -1/2 binary64) eps))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 #s(literal -1/2 binary64) eps)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64))
(.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(.f64 (.f64 eps eps) (/.f64 eps (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (.f64 eps (/.f64 eps (.f64 x x))) (/.f64 eps (.f64 x x)))
(/.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 x x)) (.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 eps eps) eps)) (neg.f64 (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (*.f64 x x) x) x))
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))
(.f64 (.f64 eps eps) eps)
(.f64 eps (.f64 eps eps))
(pow.f64 eps #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (*.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 (*.f64 x x) x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/16 binary64)
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps))) (-.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) (.f64 #s(literal -1/2 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)))) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) (.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x))))))
(fma.f64 #s(literal -1/2 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 x x)))
(fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) eps))
(-.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)) (.f64 #s(literal -1/2 binary64) eps))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)))
(*.f64 (/.f64 eps x) (/.f64 eps x))
(.f64 eps (/.f64 eps (.f64 x x)))
(/.f64 (/.f64 (*.f64 eps eps) x) x)
(/.f64 (neg.f64 (.f64 eps eps)) (neg.f64 (.f64 x x)))
(/.f64 (.f64 eps eps) (.f64 x x))
#s(literal -1/8 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps)) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps)) x)
(-.f64 (/.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (/.f64 (.f64 #s(literal -1/2 binary64) eps) x))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) x) (.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps))) (-.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps))) (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps)) (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps) (.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (*.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (.f64 #s(literal -1/2 binary64) eps))
(+.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x)))
#s(literal 1/8 binary64)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (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 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))))) x #s(literal 1 binary64)) x) (sqrt.f64 (neg.f64 eps))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt.f64 (neg.f64 eps)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (+.f64 (sqrt.f64 (neg.f64 eps)) x))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)))
#s(approx (/ x eps) (/.f64 x eps))
#s(approx x x)
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (.f64 (/.f64 (.f64 (*.f64 eps eps) eps) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (/.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (.f64 x x) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (/.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (.f64 x x) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (/ (* (* eps eps) eps) (* (* x x) (* x x))) (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (* (* x x) (* x x)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/8 binary64))) (*.f64 x x)))
#s(approx (/ (* eps eps) (* x x)) (.f64 eps (/.f64 eps (.f64 x x))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (*.f64 x x)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps))) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 5/64 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x))))) x))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) x) #s(literal 1 binary64)) x))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (*.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x) (/.f64 #s(literal 1 binary64) eps)) x))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (/.f64 (neg.f64 x) eps))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x)) (/.f64 #s(literal 1 binary64) eps)) x))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (.f64 #s(literal 1/2 binary64) eps))) x))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (fma.f64 #s(literal 1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/8 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) x)) #s(literal 1 binary64))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.f64 eps (.f64 x x))) (*.f64 #s(literal -1/2 binary64) eps)) x)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64))) eps (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) x) eps))
#s(approx eps eps)
#s(approx (/ -1 eps) (/.f64 #s(literal -1 binary64) eps))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1))) (/.f64 (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps))) eps))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps))
#s(approx (* (* eps eps) eps) (.f64 (.f64 eps eps) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (.f64 (-.f64 (.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (-.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal -1/2 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) #s(literal 1/8 binary64) (-.f64 (/.f64 x eps) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps)) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 eps eps))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (*.f64 eps eps)))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 eps eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) #s(literal 1/2 binary64) x) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (.f64 eps (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (sqrt.f64 eps)))) eps)) x) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) eps)) (.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (*.f64 eps eps) eps))))

eval38.0ms (1.7%)

Memory: 16.9MiB live, 53.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 2 960 to 1 122 computations (62.1% saved)

prune8.0ms (0.4%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	205	5	210
Fresh	0	0	0
Picked	3	1	4
Done	0	5	5
Total	208	11	219

Accuracy

99.9%

Counts

219 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.9%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	57.3%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	33.3%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps)) x))
▶	43.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) x))
▶	12.0%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 eps eps))) x))
✓	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
✓	45.9%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
✓	57.8%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
✓	57.0%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)))
▶	57.5%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 #s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)))
▶	1.8%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 350 to 330 computations (5.7% saved)

series44.0ms (2%)

Memory

-7.8MiB live, 84.8MiB allocated; 11ms collecting garbage

Counts

40 → 99

Calls

Call 1

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

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (+ x (* (sqrt eps) (sqrt -1)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* (sqrt (/ 1 eps)) (sqrt -1))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* 1/16 (/ (pow eps 3) (pow x 5)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 5))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 5))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* 1/16 (/ (pow eps 3) (pow x 4)))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 4))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (- (* 1/2 (* eps (pow x 2))) (* -1/8 (pow eps 2))))) (pow x 4))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 2)))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (* 1/8 (/ eps (pow x 2)))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (/ eps (* x x)) #s(hole binary64 (/ eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 3)))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (/ 1/8 (pow x 2))))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (/ (+ 1/8 (* 1/2 (/ (pow x 2) eps))) (pow x 2))))
#s(approx (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 4))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (* 1/16 (/ (pow eps 2) (pow x 4)))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (/ (+ (* 1/16 (pow eps 2)) (* 1/8 (* eps (pow x 2)))) (pow x 4))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (/ (+ (* 1/16 (pow eps 2)) (* (pow x 2) (+ (* 1/8 eps) (* 1/2 (pow x 2))))) (pow x 4))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (* 1/16 (/ eps (pow x 4)))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 4))))
#s(approx (/ eps (* (* (* x x) x) x)) #s(hole binary64 (/ eps (pow x 4))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* x (+ 1 (* (sqrt eps) (/ (sqrt -1) x))))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (/ x eps)))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (/ 1 eps)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 (/ eps (pow x 2))))))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (/ 1/2 eps)))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) #s(hole binary64 (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (+ 1/2 (+ (* 1/16 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ eps (pow x 2)))))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ eps (pow x 2)))) (pow x 2))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt eps) (/ (sqrt -1) x))) 1)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (/ 1 eps))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (- (* -1 x) (* (sqrt eps) (sqrt -1))))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (/ (+ x (* (sqrt eps) (sqrt -1))) eps)))
#s(approx (/ -1 eps) #s(hole binary64 (/ -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* eps (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) eps)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* (pow eps 3) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 2)))) (* 1/16 (/ 1 (pow x 4)))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (/ 1/8 (* eps (pow x 2))) (+ (/ 1/2 (pow eps 2)) (* 1/16 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (* (pow eps 2) (+ (* 1/8 (/ 1 (* eps (pow x 2)))) (* 1/16 (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (* (pow eps 2) (+ (/ 1/8 (* eps (pow x 2))) (+ (/ 1/2 (pow eps 2)) (* 1/16 (/ 1 (pow x 4))))))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (* eps (+ (* 1/8 (/ 1 (* eps (pow x 2)))) (* 1/16 (/ 1 (pow x 4)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))) eps)) (* 1/16 (/ 1 (pow x 5))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (* 1/16 (/ 1 (pow x 4))) (* 1/8 (/ 1 (* eps (pow x 2))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))) eps)) (* 1/16 (/ 1 (pow x 4))))))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (* eps (+ (* 1/16 (/ 1 (pow x 4))) (* 1/8 (/ 1 (* eps (pow x 2))))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	0	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt (/ -1 eps)) (/ -1 eps) -1 eps (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) (* x x) x 1/8 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (/ 1/2 eps) (/ 1/8 (* x x))) (* eps eps)) (+ (/ 1/2 eps) (/ 1/8 (* x x))) (/ 1/2 eps) (/ 1/8 (* x x)) (* eps eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (/ eps (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) 1/16)
9.0ms	eps	@	inf	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt (/ -1 eps)) (/ -1 eps) -1 eps (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) (* x x) x 1/8 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (/ 1/2 eps) (/ 1/8 (* x x))) (* eps eps)) (+ (/ 1/2 eps) (/ 1/8 (* x x))) (/ 1/2 eps) (/ 1/8 (* x x)) (* eps eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (/ eps (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) 1/16)
8.0ms	x	@	0	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt (/ -1 eps)) (/ -1 eps) -1 eps (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) (* x x) x 1/8 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (/ 1/2 eps) (/ 1/8 (* x x))) (* eps eps)) (+ (/ 1/2 eps) (/ 1/8 (* x x))) (/ 1/2 eps) (/ 1/8 (* x x)) (* eps eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (/ eps (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) 1/16)
6.0ms	eps	@	-inf	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt (/ -1 eps)) (/ -1 eps) -1 eps (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) (* x x) x 1/8 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (/ 1/2 eps) (/ 1/8 (* x x))) (* eps eps)) (+ (/ 1/2 eps) (/ 1/8 (* x x))) (/ 1/2 eps) (/ 1/8 (* x x)) (* eps eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (/ eps (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) 1/16)
5.0ms	x	@	inf	((- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (* (+ (/ x eps) (sqrt (/ -1 eps))) eps) (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt (/ -1 eps)) (/ -1 eps) -1 eps (- x (sqrt (- (* x x) eps))) (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) (* x x) x 1/8 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (/ 1/2 eps) (/ 1/8 (* x x))) (* eps eps)) (+ (/ 1/2 eps) (/ 1/8 (* x x))) (/ 1/2 eps) (/ 1/8 (* x x)) (* eps eps) (- x (sqrt (- (* x x) eps))) (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (/ eps (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) 1/16)

rewrite116.0ms (5.2%)

Memory

5.9MiB live, 142.8MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	3837
0	532	3352
0	2558	3243

Stop Event

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

Counts

139 → 243

Calls

Call 1

Inputs
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 #s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 #s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
(*.f64 #s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt.f64 (neg.f64 eps))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt.f64 (neg.f64 eps)))
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) x))
(/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) x)
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)
(fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(/.f64 eps (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 eps eps))) x))
(/.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 eps eps))) x)
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 eps eps)))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 eps eps))
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) eps)
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 eps eps)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps)) x))
(/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps)) x)
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps)
(fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps #s(literal 1/2 binary64))
(fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(/.f64 eps (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(literal 1/16 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (+ x (* (sqrt eps) (sqrt -1)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* (sqrt (/ 1 eps)) (sqrt -1))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* 1/16 (/ (pow eps 3) (pow x 5)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 5))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 5))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* 1/16 (/ (pow eps 3) (pow x 4)))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 4))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (- (* 1/2 (* eps (pow x 2))) (* -1/8 (pow eps 2))))) (pow x 4))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 2)))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (* 1/8 (/ eps (pow x 2)))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (/ eps (* x x)) #s(hole binary64 (/ eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 3)))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (/ 1/8 (pow x 2))))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (/ (+ 1/8 (* 1/2 (/ (pow x 2) eps))) (pow x 2))))
#s(approx (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) #s(hole binary64 (/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 4))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (* 1/16 (/ (pow eps 2) (pow x 4)))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (/ (+ (* 1/16 (pow eps 2)) (* 1/8 (* eps (pow x 2)))) (pow x 4))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (/ (+ (* 1/16 (pow eps 2)) (* (pow x 2) (+ (* 1/8 eps) (* 1/2 (pow x 2))))) (pow x 4))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (* 1/16 (/ eps (pow x 4)))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 4))))
#s(approx (/ eps (* (* (* x x) x) x)) #s(hole binary64 (/ eps (pow x 4))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* x (+ 1 (* (sqrt eps) (/ (sqrt -1) x))))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (/ x eps)))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (/ 1 eps)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 (/ eps (pow x 2))))))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (/ 1/2 eps)))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) #s(hole binary64 (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (+ 1/2 (+ (* 1/16 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ eps (pow x 2)))))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ eps (pow x 2)))) (pow x 2))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt eps) (/ (sqrt -1) x))) 1)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (/ 1 eps))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (- (* -1 x) (* (sqrt eps) (sqrt -1))))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) #s(hole binary64 (/ (+ x (* (sqrt eps) (sqrt -1))) eps)))
#s(approx (/ -1 eps) #s(hole binary64 (/ -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* eps (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) eps)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* (pow eps 3) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 2)))) (* 1/16 (/ 1 (pow x 4)))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (/ 1/8 (* eps (pow x 2))) (+ (/ 1/2 (pow eps 2)) (* 1/16 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (* (pow eps 2) (+ (* 1/8 (/ 1 (* eps (pow x 2)))) (* 1/16 (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) #s(hole binary64 (* (pow eps 2) (+ (/ 1/8 (* eps (pow x 2))) (+ (/ 1/2 (pow eps 2)) (* 1/16 (/ 1 (pow x 4))))))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (* eps (+ (* 1/8 (/ 1 (* eps (pow x 2)))) (* 1/16 (/ 1 (pow x 4)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) #s(hole binary64 (* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))) eps)) (* 1/16 (/ 1 (pow x 5))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* (pow eps 3) (+ (* 1/16 (/ 1 (pow x 4))) (* 1/8 (/ 1 (* eps (pow x 2))))))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))) eps)) (* 1/16 (/ 1 (pow x 4))))))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) #s(hole binary64 (* eps (+ (* 1/16 (/ 1 (pow x 4))) (* 1/8 (/ 1 (* eps (pow x 2))))))))

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 #s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 #s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
(*.f64 #s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)
(*.f64 eps #s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)))
(pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(sqrt.f64 (/.f64 #s(literal -1 binary64) eps))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) eps)
(/.f64 #s(literal 1 binary64) (neg.f64 eps))
#s(literal -1 binary64)
eps
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt.f64 (neg.f64 eps))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt.f64 (neg.f64 eps)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (neg.f64 eps) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 eps))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) x))
(/.f64 (neg.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 x))
(/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) x)
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)
(.f64 eps (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 eps (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64)) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 eps (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64))))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64)) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 eps (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)) eps))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 eps (.f64 x x))))
(+.f64 (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (/.f64 eps x) x)
(/.f64 (neg.f64 eps) (neg.f64 (*.f64 x x)))
(/.f64 eps (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps))) x))
(/.f64 (neg.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps)))) (neg.f64 x))
(/.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps))) x)
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) eps) eps)
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) eps) (.f64 eps eps) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 eps eps)))
(fma.f64 (.f64 eps eps) (/.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(+.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) (.f64 eps eps)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 eps eps)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) eps)) (.f64 (.f64 x x) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps))
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) eps)
(/.f64 #s(literal -1/2 binary64) (neg.f64 eps))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 x x)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps)) x))
(/.f64 (neg.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps))) (neg.f64 x))
(/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps)) x)
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps)
(.f64 eps (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 eps (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 eps (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 eps (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps) eps))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps)) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps)) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps #s(literal 1/2 binary64))
(fma.f64 eps (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(+.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64)) (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (-.f64 (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64)) (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64) (.f64 (/.f64 eps (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/16 binary64)))
(fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 eps (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (/.f64 eps (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/16 binary64)))
(+.f64 (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(/.f64 (/.f64 eps (.f64 (.f64 x x) x)) x)
(/.f64 (neg.f64 eps) (neg.f64 (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 eps (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (*.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 (*.f64 x x) x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(literal 1/16 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (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 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x) (sqrt.f64 (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) eps)))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))))) x #s(literal 1 binary64)) x) (sqrt.f64 (neg.f64 eps))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt.f64 (neg.f64 eps)))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (+.f64 (sqrt.f64 (neg.f64 eps)) x))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (.f64 (/.f64 (.f64 (*.f64 eps eps) eps) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (/.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (.f64 x x) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (/.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 x x) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (.f64 x x) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (*.f64 x x)))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64)))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) eps)) (*.f64 x x)))
#s(approx (/ eps (* x x)) (/.f64 eps (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (.f64 (.f64 x x) x)))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) (/.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (.f64 x x) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/16 binary64)))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/8 binary64) (.f64 (.f64 eps eps) #s(literal 1/16 binary64))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) eps)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/16 binary64))) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64)))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) eps)) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (/ eps (* (* (* x x) x) x)) (/.f64 eps (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (* (* (* x x) x) x) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 5/64 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x))))) x))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) x) #s(literal 1 binary64)) x))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (/.f64 x eps))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (*.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x) (/.f64 #s(literal 1 binary64) eps)) x))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (/.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) eps))) x))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) (/.f64 #s(literal 1/2 binary64) eps))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) eps) (fma.f64 (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (+.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/8 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) x)) #s(literal 1 binary64))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) x)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (neg.f64 (/.f64 (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) eps)) x)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 x x)))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64))) eps (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))))
#s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (/.f64 (+.f64 (sqrt.f64 (neg.f64 eps)) x) eps))
#s(approx (/ -1 eps) (/.f64 #s(literal -1 binary64) eps))
#s(approx eps eps)
#s(approx (neg eps) (neg.f64 eps))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal 1/2 binary64)) eps))
#s(approx (+ (/ 1/2 eps) (/ 1/8 (* x x))) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (fma.f64 (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) eps #s(literal 1/2 binary64)))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (fma.f64 (/.f64 eps (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (-.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal -1/2 binary64) (/.f64 x eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 eps #s(literal -5 binary64)))) #s(literal 1/8 binary64) (-.f64 (/.f64 x eps) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) eps)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))) eps))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)) (/.f64 x eps)) eps))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) (.f64 (*.f64 eps eps) eps)))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) eps))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) eps) 1/2) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) (.f64 eps eps)))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (neg.f64 eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) #s(literal 1/2 binary64) x) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps)))))
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (.f64 eps (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 eps))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) eps)) x) eps)) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) (/.f64 (neg.f64 x) eps))))
#s(approx (/ (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) eps)) (.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/16 binary64))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) eps))
#s(approx (+ (* (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) eps))) eps))

eval28.0ms (1.3%)

Memory: 9.6MiB live, 53.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 317 to 1 411 computations (57.5% saved)

prune142.0ms (6.4%)

Memory

-25.7MiB live, 26.8MiB allocated; 28ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	0	0
Picked	1	4	5
Done	0	6	6
Total	219	11	230

Accuracy

99.9%

Counts

230 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.9%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	57.3%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	43.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) x))
	44.6%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (- (* (/ (* (* eps eps) eps) (* (* x x) (* x x))) 1/16) (+ (* (/ (* eps eps) (* x x)) -1/8) (* -1/2 eps))) (.f64 (fma.f64 #s(approx (+ ( (/ eps (* (* (* x x) x) x)) 1/16) (/ 1/8 (* x x))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x x))) eps #s(literal 1/2 binary64)) eps)) x))
✓	12.0%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (*.f64 eps eps))) x))
✓	3.5%	#s(approx (- x (sqrt (- (* x x) eps))) (+.f64 x x))
✓	45.9%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
✓	57.8%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
✓	57.0%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 (+.f64 (/.f64 x eps) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)))
✓	57.5%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (*.f64 #s(approx (+ (/ x eps) (sqrt (/ -1 eps))) (sqrt.f64 (/.f64 #s(literal -1 binary64) eps))) eps)))
✓	1.8%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (neg eps) (- (/ (neg x) eps) (sqrt (* (/ 1 eps) -1)))) (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 436 to 341 computations (21.8% saved)

regimes15.0ms (0.7%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms	eps
5.0ms	x
4.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.8%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
89.3%	2	`x`
81.5%	2	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
99.7%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes9.0ms (0.4%)

Memory

-38.8MiB live, 7.5MiB allocated; 9ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
99.1%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes6.0ms (0.3%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.8%	1	`eps`
57.8%	1	`x`
57.8%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Accuracy

Total -1.1b remaining (-1.8%)

Threshold costs -1.1b (-1.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7025114905406283e-154	0.0

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7025114905406283e-154	0.0

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7025114905406283e-154	0.0

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7025114905406283e-154	0.0

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations37.0ms (1.7%)

Memory

10.7MiB live, 56.5MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 110 to 65 computations (40.9% saved)

preprocess86.0ms (3.8%)

Memory: -13.2MiB live, 131.7MiB allocated; 75ms collecting garbage
Compiler: Compiled 123 to 78 computations (36.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze11.0ms (0.5%)

sample1.2s (52%)

preprocess111.0ms (5%)

series9.0ms (0.4%)

rewrite74.0ms (3.3%)

eval39.0ms (1.7%)

prune5.0ms (0.2%)

series20.0ms (0.9%)

rewrite77.0ms (3.5%)

eval30.0ms (1.4%)

prune5.0ms (0.2%)

series48.0ms (2.1%)

rewrite100.0ms (4.5%)

eval38.0ms (1.7%)

prune8.0ms (0.4%)

series44.0ms (2%)

rewrite116.0ms (5.2%)

eval28.0ms (1.3%)

prune142.0ms (6.4%)

regimes15.0ms (0.7%)

regimes5.0ms (0.2%)

regimes9.0ms (0.4%)

regimes3.0ms (0.1%)

regimes6.0ms (0.3%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations37.0ms (1.7%)

preprocess86.0ms (3.8%)

end0.0ms (0%)

Profiling