Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze23.0ms (0.3%)

Memory

-13.2MiB live, 31.1MiB allocated

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)

sample1.5s (22.1%)

Memory

-8.0MiB live, 1 971.8MiB allocated

Samples

493.0ms	2 642×	1	valid
442.0ms	4 997×	0	valid
109.0ms	617×	2	valid
12.0ms	163×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 742.0ms

ival-sub: 206.0ms (27.8% of total)

ival-mult: 181.0ms (24.4% of total)

ival-<=: 118.0ms (15.9% of total)

adjust: 97.0ms (13.1% of total)

ival-sqrt: 96.0ms (12.9% of total)

ival-and: 23.0ms (3.1% of total)

exact: 18.0ms (2.4% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain95.0ms (1.4%)

Memory

43.8MiB live, 130.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
111	-	-	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
0	-	-	`eps`
0	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) eps))`
0	-	-	`(-.f64 (*.f64 x x) eps)`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`	cancellation	111	1

Confusion

	Predicted +	Predicted -
+	111	0
-	0	145

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	111	0	0
-	0	1	144

Precision?

0.9910714285714286

Recall?

1.0

Freqs

test

number	freq
0	145
1	111

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

24.0ms	180×	1	valid
15.0ms	300×	0	valid
5.0ms	32×	2	valid

Compiler

Compiled 60 to 22 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

adjust: 9.0ms (31.8% of total)

ival-sub: 7.0ms (24.7% of total)

ival-sqrt: 6.0ms (21.2% of total)

ival-mult: 5.0ms (17.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess46.0ms (0.7%)

Memory

-25.4MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	32	46
2	61	46
3	88	46
4	112	46
0	6	8
0	10	8
1	14	8
2	27	8
3	46	8
4	58	8
0	58	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) eps)
cost-diff	0	(sqrt.f64 (-.f64 (*.f64 x x) eps))
cost-diff	0	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	24
0	10	24
1	14	24
2	27	24
3	46	24
4	58	24
0	58	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 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

localize35.0ms (0.5%)

Memory

-35.9MiB live, 30.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01171875	(-.f64 (*.f64 x x) eps)
accuracy	25.20048120465379	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

13.0ms	16×	2	valid
9.0ms	90×	1	valid
8.0ms	150×	0	valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 14.0ms (65.6% of total)

ival-mult: 3.0ms (14% of total)

ival-sqrt: 3.0ms (14% of total)

adjust: 2.0ms (9.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 49

Calls

Call 1

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

Outputs
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* 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)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
(* -1 eps)
(- (pow x 2) eps)
(pow x 2)
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 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)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -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))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -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))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 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))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* eps (- (/ (pow x 2) eps) 1))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))

Calls

6 calls:

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

simplify230.0ms (3.4%)

Memory

18.0MiB live, 249.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1069
1	807	1054
2	3108	1019
0	8668	960

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* 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)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
(* -1 eps)
(- (pow x 2) eps)
(pow x 2)
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 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)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -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))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -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))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 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))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* eps (- (/ (pow x 2) eps) 1))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))

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

rewrite143.0ms (2.1%)

Memory

-7.3MiB live, 184.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	42	22
2	320	22
3	3652	22
0	8870	22

Stop Event

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

Counts

4 → 199

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (/.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))))
(.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
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(exp.f64 (/.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64)))
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(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (/.f64 (fma.f64 eps eps (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
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(.f64 (pow.f64 (fma.f64 x x eps) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) eps) (fma.f64 x x eps)) #s(literal 1 binary64)))
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(.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 eps (*.f64 x x))) (sqrt.f64 (fma.f64 x x eps)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (/.f64 eps (fma.f64 x x eps))) #s(literal 2 binary64))) (-.f64 (.f64 x x) eps))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 x x eps))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (/.f64 eps (fma.f64 x x eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 eps (/.f64 eps (fma.f64 x x eps))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (.f64 eps (/.f64 eps (fma.f64 x x eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (pow.f64 (hypot.f64 eps (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x eps) #s(literal 1 binary64)))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (hypot.f64 eps (.f64 x x))) (hypot.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (.f64 (fma.f64 x x eps) (*.f64 eps eps))) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x eps) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 eps #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 eps eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 x x) eps) (.f64 eps (/.f64 eps (fma.f64 x x eps))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) eps)
(fabs.f64 (-.f64 (*.f64 x x) eps))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (-.f64 (.f64 x x) eps))) (sinh.f64 (log.f64 (-.f64 (.f64 x x) eps))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval33.0ms (0.5%)

Memory: 24.3MiB live, 69.0MiB allocated
Compiler: Compiled 6 064 to 978 computations (83.9% saved)

prune13.0ms (0.2%)

Memory

-16.7MiB live, 29.9MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	233	12	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	233	13	246

Accuracy

99.9%

Counts

246 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) x)
	44.8%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))))
	44.8%	(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
▶	60.2%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	60.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	56.0%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	6.8%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
▶	3.6%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	33.6%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 (/.f64 eps x) #s(literal 1/8 binary64)) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) eps))) x))
	22.8%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
▶	29.6%	#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) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
▶	36.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
▶	45.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 550 to 324 computations (41.1% saved)

simplify234.0ms (3.4%)

Memory

15.0MiB live, 268.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(*.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) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
cost-diff	0	#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) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
cost-diff	0	(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
cost-diff	0	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) eps)
cost-diff	0	(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))
cost-diff	0	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	251
0	55	251
1	78	251
2	164	251
3	498	251
4	1708	251
5	4058	251
6	5388	251
7	5734	251
8	6128	251
9	6673	251
10	7998	251
0	8001	251

Stop Event

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

Calls

Call 1

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

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

localize160.0ms (2.4%)

Memory

-13.5MiB live, 178.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	7.222051994844757	(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
accuracy	8.785023842377534	(fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
accuracy	33.460671222096536	(fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	35.05723288712799	#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) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
accuracy	0.09765625	(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	8.551800122560305	(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
accuracy	11.872287310511533	(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
accuracy	36.05312239214029	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.26953125	(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
accuracy	34.81326754698304	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
accuracy	0.0	(neg.f64 x)
accuracy	25.20048120465379	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
accuracy	62.37941832233965	#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
accuracy	0.00390625	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01171875	(-.f64 (*.f64 x x) eps)
accuracy	0.3359375	(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))
accuracy	25.20048120465379	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))

Samples

66.0ms	150×	0	valid
63.0ms	90×	1	valid
8.0ms	16×	2	valid

Compiler

Compiled 215 to 30 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 40.0ms (49.8% of total)

adjust: 10.0ms (12.5% of total)

ival-div: 9.0ms (11.2% of total)

ival-pow: 6.0ms (7.5% of total)

ival-sub: 5.0ms (6.2% of total)

ival-add: 4.0ms (5% of total)

ival-sqrt: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

20 → 87

Calls

Call 1

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

Outputs
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* 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)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
(* -1 eps)
(- (pow x 2) eps)
(pow x 2)
(* -1 x)
(* 1/2 (/ eps x))
(/ 1/2 x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 3))
(* 1/16 (/ (pow eps 3) (pow x 5)))
(/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 5))
(/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 5))
(* 1/16 (/ (pow eps 2) (pow x 5)))
(/ (+ (* 1/16 (pow eps 2)) (* 1/8 (* eps (pow x 2)))) (pow x 5))
(/ (+ (* 1/16 (pow eps 2)) (* (pow x 2) (+ (* 1/8 eps) (* 1/2 (pow x 2))))) (pow x 5))
(* 1/16 (/ eps (pow x 5)))
(/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 5))
(/ eps (pow x 5))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 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)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(/ (+ 1/2 (+ (* 1/16 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ eps (pow x 2))))) x)
(/ (+ 1/8 (* 1/16 (/ eps (pow x 2)))) (pow x 3))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -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))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -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))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (- (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4)))) 1/2) x))
(* -1 (/ (- (* -1/16 (/ eps (pow x 2))) 1/8) (pow x 3)))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 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))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))
(+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* eps (- (/ (pow x 2) eps) 1))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* (pow eps 3) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(* (pow eps 2) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* (pow eps 2) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(* eps (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))) eps)) (* 1/16 (/ 1 (pow x 5))))))
(* eps (+ (* 1/16 (/ 1 (pow x 5))) (* 1/8 (/ 1 (* eps (pow x 3))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	inf	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
4.0ms	x	@	0	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
4.0ms	x	@	inf	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
4.0ms	eps	@	-inf	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
4.0ms	eps	@	0	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))

simplify260.0ms (3.8%)

Memory

-27.7MiB live, 106.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	1653
1	1133	1630
2	4291	1610
0	8405	1525

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 86

Calls

Call 1

Inputs
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* 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)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
(* -1 eps)
(- (pow x 2) eps)
(pow x 2)
(* -1 x)
(* 1/2 (/ eps x))
(/ 1/2 x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 3))
(* 1/16 (/ (pow eps 3) (pow x 5)))
(/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 5))
(/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 5))
(* 1/16 (/ (pow eps 2) (pow x 5)))
(/ (+ (* 1/16 (pow eps 2)) (* 1/8 (* eps (pow x 2)))) (pow x 5))
(/ (+ (* 1/16 (pow eps 2)) (* (pow x 2) (+ (* 1/8 eps) (* 1/2 (pow x 2))))) (pow x 5))
(* 1/16 (/ eps (pow x 5)))
(/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 5))
(/ eps (pow x 5))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 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)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(/ (+ 1/2 (+ (* 1/16 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ eps (pow x 2))))) x)
(/ (+ 1/8 (* 1/16 (/ eps (pow x 2)))) (pow x 3))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -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))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -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))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (- (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4)))) 1/2) x))
(* -1 (/ (- (* -1/16 (/ eps (pow x 2))) 1/8) (pow x 3)))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 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))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))
(+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* eps (- (/ (pow x 2) eps) 1))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* (pow eps 3) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(* (pow eps 2) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* (pow eps 2) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(* eps (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))) eps)) (* 1/16 (/ 1 (pow x 5))))))
(* eps (+ (* 1/16 (/ 1 (pow x 5))) (* 1/8 (/ 1 (* eps (pow x 3))))))

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

rewrite240.0ms (3.5%)

Memory

-1.3MiB live, 141.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	213
0	55	207
1	183	207
2	1345	201
0	8645	201

Stop Event

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

Counts

20 → 609

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 3 binary64)) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64))) (fma.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps))) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))) (.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(.f64 (/.f64 (fma.f64 x x eps) (fma.f64 x x eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(.f64 (/.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1 binary64))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) eps))) (neg.f64 (-.f64 (.f64 x x) eps)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)))) (neg.f64 (sqrt.f64 (fma.f64 x x eps))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 eps))) (-.f64 (.f64 x x) eps))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 eps))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (-.f64 (neg.f64 (.f64 x x)) (neg.f64 eps)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)))) (fabs.f64 (sqrt.f64 (fma.f64 x x eps))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)))) (fabs.f64 (/.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (fabs.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) eps)) (-.f64 (.f64 x x) eps))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps eps)) (.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (/.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps)) (/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) eps) (-.f64 (*.f64 x x) eps)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 eps eps) (.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 (.f64 eps eps) (fma.f64 x x eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(-.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(fabs.f64 (/.f64 (-.f64 (.f64 x x) eps) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (neg.f64 eps) eps) (.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 (/.f64 eps (pow.f64 x #s(literal 5/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (/.f64 eps (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (neg.f64 eps) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
(neg.f64 (/.f64 (neg.f64 eps) (pow.f64 x #s(literal 5 binary64))))
(neg.f64 (/.f64 eps (neg.f64 (pow.f64 x #s(literal 5 binary64)))))

eval215.0ms (3.2%)

Memory: -2.5MiB live, 97.6MiB allocated
Compiler: Compiled 28 390 to 3 294 computations (88.4% saved)

prune59.0ms (0.9%)

Memory

4.3MiB live, 51.5MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	726	12	738
Fresh	6	1	7
Picked	2	3	5
Done	0	1	1
Total	734	17	751

Accuracy

99.9%

Counts

751 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
▶	44.8%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
	60.2%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
▶	60.2%	(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
✓	60.2%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	60.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	56.0%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	6.8%	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.6%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	65.3%	(+.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	22.8%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
▶	43.5%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
	30.9%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 #s(approx (+ ( (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (/.f64 (fma.f64 #s(literal 1/16 binary64) eps (.f64 (.f64 x x) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
	36.6%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (neg.f64 (neg.f64 x)))) eps))
✓	45.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
	29.9%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(approx (+ ( (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal 1/8 binary64) eps)) x) x (.f64 (*.f64 eps eps) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64)))) eps))
	45.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))

Compiler

Compiled 943 to 451 computations (52.2% saved)

simplify154.0ms (2.3%)

Memory

16.0MiB live, 105.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
cost-diff	1	(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps))
cost-diff	2	(fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))
cost-diff	0	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
cost-diff	17	(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
cost-diff	0	(fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
cost-diff	0	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
cost-diff	0	(neg.f64 eps)
cost-diff	0	#s(approx (- (* x x) eps) (neg.f64 eps))
cost-diff	0	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
cost-diff	0	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))
cost-diff	0	(-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))
cost-diff	7	(+.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	341
0	67	334
1	103	331
2	210	314
3	602	312
4	1535	312
5	3293	312
6	4545	312
7	5210	312
8	6257	312
9	6684	312
10	7386	312
0	8162	310

Stop Event

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

Calls

Call 1

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

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

localize282.0ms (4.2%)

Memory

-16.0MiB live, 246.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (.f64 x x) eps)))
accuracy	0.1484375	(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))
accuracy	17.327503490317543	(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))
accuracy	17.540248970301143	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))
accuracy	0.01171875	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy	0.32421875	(/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
accuracy	6.722829636160662	(/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
accuracy	25.18614512914204	(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
accuracy	0.05859375	(/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
accuracy	0.19140625	(/.f64 (/.f64 eps x) x)
accuracy	8.551800122560305	(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
accuracy	36.05312239214029	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
accuracy	0.0	(neg.f64 eps)
accuracy	0.00390625	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
accuracy	25.20048120465379	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
accuracy	27.06560018846459	#s(approx (- (* x x) eps) (neg.f64 eps))
accuracy	0.01953125	(+.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
accuracy	0.2890625	(/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))
accuracy	6.718923386160662	(/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))
accuracy	25.171188922390346	(-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))

Samples

166.0ms	150×	0	valid
60.0ms	90×	1	valid
15.0ms	16×	2	valid

Compiler

Compiled 329 to 36 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-div: 66.0ms (43.2% of total)

ival-pow: 29.0ms (19% of total)

ival-add: 25.0ms (16.4% of total)

ival-sub: 11.0ms (7.2% of total)

adjust: 9.0ms (5.9% of total)

ival-mult: 7.0ms (4.6% of total)

ival-sqrt: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series85.0ms (1.3%)

Memory

-8.1MiB live, 179.9MiB allocated

Counts

23 → 318

Calls

Call 1

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

Outputs
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (- (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* x (+ 1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* x (+ 1 (* x (- (* (pow x 2) (- (* 1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt eps) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1))))))))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* 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)))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
(* -1 eps)
(- (pow x 2) eps)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1 (/ x (* eps (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(* (pow x 2) (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* 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)))
(- (* (sqrt eps) (* x (sqrt -1))) eps)
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps)
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps)
(- (* x (+ x (* (sqrt eps) (sqrt -1)))) eps)
(- (* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps)
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* (pow x 2) (- x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* (pow x 2) (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))))))))
(/ eps (pow x 2))
(* -1 (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (+ (* -1 (* x (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* (sqrt (/ 1 eps)) (/ (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))
(* (sqrt (pow eps 3)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1)))
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))))
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1)))))))))
(/ (- eps (* 1/2 eps)) x)
(/ (- (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (* 1/2 eps))))) x)
(* -1/2 (/ eps x))
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps)) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(* x (+ 1 (* 1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 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)
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (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)
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (* 1/16 (/ (pow eps 2) (pow x 4)))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3))) (pow x 6)))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4))))))
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* 3 (pow x 2))
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- (+ 2 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2))))
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x))
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x)
(* -1/2 (* x (+ (* -2 eps) (* -1 eps))))
(* x (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (+ (* -2 eps) (* -1 eps)))))
(* x (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))))
(* x (- (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))))
(/ eps x)
(/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x)
(* x (- (+ 1/2 (* -1/2 (/ eps (pow x 2)))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))) (pow x 4))) (* -1/2 (/ eps (pow x 2))))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (* (pow eps 2) (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/64 (pow eps 3)) (* 1/4 (* eps (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))))))) (pow x 6))) (* -1/2 (/ eps (pow x 2))))) (+ (* -1/4 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/32 (/ (pow eps 2) (pow x 4)))))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))
(* -1 (* x (- (/ eps (pow x 2)) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2)))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))))
(* -1 (* x (- (* -1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -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))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -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))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* 2 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))))))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2))))
(- (* 1/2 eps) eps)
(- (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) eps)
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) eps)
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) eps)
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2)))
(* 2 (pow x 3))
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2)))
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))) (+ 2 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))))
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))))
(* -1 (/ eps x))
(* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x))
(* -1 (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 5/8 eps)) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 5/8 eps)))) (* 5/16 (pow eps 2)))) (pow x 6))) (* 5/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 5/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 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))))
(* eps (- (* -3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* -5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* eps (- (* -35/128 (/ eps (pow x 7))) (* 5/16 (/ 1 (pow x 5))))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* 1/2 (/ eps x)))
(+ x (* eps (+ (* 3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* 1/8 (/ eps x)) (* 1/2 x))
(+ (* 1/2 x) (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 1/8 (/ 1 x)))))
(+ (* 1/2 x) (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x)))))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* 2 (pow x 2)) (pow x 2))
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2)))
(+ (* -3/2 eps) (* 2 (pow x 2)))
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)))
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3)))
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x)))
(* eps (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(+ (* -3/8 (/ eps x)) (* 1/2 x))
(+ (* 1/2 x) (* eps (- (* -1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x)))))
(+ (* 1/2 x) (* eps (- (* eps (- (* -3/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 3/8 (/ 1 x)))))
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3))
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3))
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3))
(* eps (- (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* eps (- (/ (pow x 2) eps) 1))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(/ (+ (* -1 (/ (pow x 3) (pow (sqrt -1) 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (pow x 3) (pow (sqrt -1) 2))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 5)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ (pow x 3) (pow (sqrt -1) 2))))) eps)
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* 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)) (/ x eps)))))
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1))
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1))
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1))
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1))
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1))
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1))
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))))
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (pow eps 2))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (* -1 (/ x (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* eps (* (pow x 2) (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) (pow eps 3))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 6) (sqrt -1))))) eps))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1))))) (pow eps 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(* -1 (/ (+ (* -1 (pow x 3)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1))))))))) (* -1/2 (* eps (pow x 5)))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))))) eps)) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))
(+ (* -1 (/ (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(+ (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))))))))))) (* -1/2 (* (pow x 2) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (pow (- (* x x) eps) 3/2))
14.0ms	eps	@	inf	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (pow (- (* x x) eps) 3/2))
13.0ms	x	@	inf	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (pow (- (* x x) eps) 3/2))
11.0ms	eps	@	-inf	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (pow (- (* x x) eps) 3/2))
10.0ms	x	@	0	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (pow (- (* x x) eps) 3/2))

simplify243.0ms (3.6%)

Memory

49.3MiB live, 352.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1833	12447
1	6460	12182
0	8374	11605

Stop Event

1×	iter limit
1×	node limit

Counts

318 → 317

Calls

Call 1

Inputs
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (- (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* x (+ 1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* x (+ 1 (* x (- (* (pow x 2) (- (* 1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt eps) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1))))))))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* 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)))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
(* -1 eps)
(- (pow x 2) eps)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1 (/ x (* eps (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(* (pow x 2) (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* 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)))
(- (* (sqrt eps) (* x (sqrt -1))) eps)
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps)
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps)
(- (* x (+ x (* (sqrt eps) (sqrt -1)))) eps)
(- (* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps)
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* (pow x 2) (- x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* (pow x 2) (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))))))))
(/ eps (pow x 2))
(* -1 (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (+ (* -1 (* x (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* (sqrt (/ 1 eps)) (/ (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))
(* (sqrt (pow eps 3)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1)))
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))))
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1)))))))))
(/ (- eps (* 1/2 eps)) x)
(/ (- (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (* 1/2 eps))))) x)
(* -1/2 (/ eps x))
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps)) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(* x (+ 1 (* 1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 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)
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (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)
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (* 1/16 (/ (pow eps 2) (pow x 4)))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3))) (pow x 6)))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4))))))
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* 3 (pow x 2))
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- (+ 2 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2))))
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x))
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x)
(* -1/2 (* x (+ (* -2 eps) (* -1 eps))))
(* x (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (+ (* -2 eps) (* -1 eps)))))
(* x (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))))
(* x (- (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))))
(/ eps x)
(/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x)
(* x (- (+ 1/2 (* -1/2 (/ eps (pow x 2)))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))) (pow x 4))) (* -1/2 (/ eps (pow x 2))))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (* (pow eps 2) (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/64 (pow eps 3)) (* 1/4 (* eps (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))))))) (pow x 6))) (* -1/2 (/ eps (pow x 2))))) (+ (* -1/4 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/32 (/ (pow eps 2) (pow x 4)))))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))
(* -1 (* x (- (/ eps (pow x 2)) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2)))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))))
(* -1 (* x (- (* -1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -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))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -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))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* 2 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))))))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2))))
(- (* 1/2 eps) eps)
(- (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) eps)
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) eps)
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) eps)
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2)))
(* 2 (pow x 3))
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2)))
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))) (+ 2 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))))
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))))
(* -1 (/ eps x))
(* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x))
(* -1 (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 5/8 eps)) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 5/8 eps)))) (* 5/16 (pow eps 2)))) (pow x 6))) (* 5/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 5/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 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))))
(* eps (- (* -3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* -5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* eps (- (* -35/128 (/ eps (pow x 7))) (* 5/16 (/ 1 (pow x 5))))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* 1/2 (/ eps x)))
(+ x (* eps (+ (* 3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* 1/8 (/ eps x)) (* 1/2 x))
(+ (* 1/2 x) (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 1/8 (/ 1 x)))))
(+ (* 1/2 x) (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x)))))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* 2 (pow x 2)) (pow x 2))
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2)))
(+ (* -3/2 eps) (* 2 (pow x 2)))
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)))
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3)))
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x)))
(* eps (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(+ (* -3/8 (/ eps x)) (* 1/2 x))
(+ (* 1/2 x) (* eps (- (* -1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x)))))
(+ (* 1/2 x) (* eps (- (* eps (- (* -3/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 3/8 (/ 1 x)))))
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3))
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3))
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3))
(* eps (- (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* eps (- (/ (pow x 2) eps) 1))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(/ (+ (* -1 (/ (pow x 3) (pow (sqrt -1) 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (pow x 3) (pow (sqrt -1) 2))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 5)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ (pow x 3) (pow (sqrt -1) 2))))) eps)
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* 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)) (/ x eps)))))
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1))
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1))
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1))
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1))
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1))
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1))
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))))
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (pow eps 2))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (* -1 (/ x (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* eps (* (pow x 2) (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) (pow eps 3))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 6) (sqrt -1))))) eps))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1))))) (pow eps 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(* -1 (/ (+ (* -1 (pow x 3)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1))))))))) (* -1/2 (* eps (pow x 5)))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))))) eps)) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))
(+ (* -1 (/ (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(+ (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))))))))))) (* -1/2 (* (pow x 2) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))

Outputs
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ x (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x)
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (- (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 x x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(.f64 (fma.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* (pow x 2) (- (* 1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 x x) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x)
(* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 eps) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))) (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 x x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 x x))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt eps) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))) eps) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64)))) (.f64 x x)) (.f64 (sqrt.f64 eps) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 x x))) (.f64 x x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(- x (* (sqrt eps) (sqrt -1)))
(-.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 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)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (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)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64))) (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(-.f64 (*.f64 x x) eps)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (/ eps (pow x 3)))
(*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/8 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (/ eps (pow x 2)))
(.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))
(* (sqrt eps) (/ 1 (sqrt -1)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) x) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))
(* (pow x 2) (+ (* -1 (/ x (* eps (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(.f64 (fma.f64 (/.f64 x eps) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (*.f64 x x))
(* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (.f64 x x))
(* (pow x 2) (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (.f64 eps eps))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) x) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (.f64 x x))
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* 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)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x #s(literal 1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(- (* (sqrt eps) (* x (sqrt -1))) eps)
(-.f64 (.f64 (.f64 (sqrt.f64 eps) x) (sqrt.f64 #s(literal -1 binary64))) eps)
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps)
(-.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (.f64 #s(literal 2 binary64) x)) x) eps)
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 2 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) x) eps)
(- (* x (+ x (* (sqrt eps) (sqrt -1)))) eps)
(-.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x) x) eps)
(- (* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) x) eps)
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 x))
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
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(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) eps)) (pow.f64 x #s(literal 3 binary64)))
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
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(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
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(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
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(* eps (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x)))
(*.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) eps)
(* eps (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1 binary64) x)) eps)
(* eps (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/16 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1 binary64) x)) eps)
(+ (* -3/8 (/ eps x)) (* 1/2 x))
(fma.f64 #s(literal -3/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* eps (- (* -1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x)))))
(fma.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 3/8 binary64) x)) eps (.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* eps (- (* eps (- (* -3/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 3/8 (/ 1 x)))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -3/128 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) (/.f64 #s(literal 3/8 binary64) x)) eps (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3))
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) eps) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) eps (pow.f64 x #s(literal 3 binary64)))
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))))) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) eps (pow.f64 x #s(literal 3 binary64)))
(* eps (- (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))) eps)
(- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(-.f64 x (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) x) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) x) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (.f64 (.f64 x x) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (.f64 (.f64 x x) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
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(* 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)))))
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(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* 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)))))
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(* 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))))))
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(* eps (- (/ (pow x 2) eps) 1))
(.f64 (-.f64 (/.f64 (.f64 x x) eps) #s(literal 1 binary64)) eps)
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) eps)
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (neg.f64 (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) eps) (/.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) eps)))) (/.f64 x #s(literal -1 binary64)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
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(/ (+ (* -1 (/ (pow x 3) (pow (sqrt -1) 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) eps)
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (pow x 3) (pow (sqrt -1) 2))) eps)
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(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 5)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ (pow x 3) (pow (sqrt -1) 2))))) eps)
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(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) eps)
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(.f64 (fma.f64 (.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) eps)
(* 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)) (/ x eps)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)))) eps)
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))
(.f64 (-.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps)
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1))
(.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)) eps)
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))) eps)
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))) eps)
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64))) eps)
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1))
(.f64 (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (.f64 x x) eps) #s(literal 1 binary64)))) eps)
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (.f64 x x) eps) #s(literal 1 binary64))))) eps)
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) (-.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) eps)
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))
(.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))))) eps)
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))))
(.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps) #s(literal 3 binary64))))))))) eps)
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (fma.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps eps))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (fma.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 eps eps))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
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(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps)
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (pow eps 2))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (* -1 (/ x (pow (sqrt -1) 2))))
(fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (/.f64 (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps (/.f64 x #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 eps))) (.f64 eps eps)))) (/.f64 (neg.f64 x) #s(literal -1 binary64))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* eps (* (pow x 2) (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) (pow eps 3))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))))
(fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) eps) (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps (/.f64 x #s(literal -1 binary64)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 x (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (/.f64 (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps (/.f64 x #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 eps))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))))) (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x (/.f64 (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps (/.f64 x #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))))))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 eps eps))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 eps eps))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 2 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 eps eps))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) eps))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) x) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) eps))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 6) (sqrt -1))))) eps))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 eps) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))))) eps) #s(literal -1 binary64) x) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) eps))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) x) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) x) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
(- (+ x (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1))))) (pow eps 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) x) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
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(* -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)))))
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(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
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(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
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(* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
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(* -1 (/ (+ (* -1 (pow x 3)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
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(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (neg.f64 eps) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 x) eps)))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
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(* -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)))))
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(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
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(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
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(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
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(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
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(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
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(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
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(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
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(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (sqrt.f64 eps))
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))))
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(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))))) eps) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) eps))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))) (fma.f64 (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))))) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))))) eps) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))))) eps) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) eps))))
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 eps eps))
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 eps eps))
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 2 binary64)) eps) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 eps eps))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))
(.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 eps #s(literal 3 binary64)))))))
(+ (* -1 (/ (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x))) eps)))
(+ (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (sqrt.f64 eps) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (*.f64 (neg.f64 eps) x)) eps)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))))))))))) (* -1/2 (* (pow x 2) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 eps) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x))) (neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) x) (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 eps) x) (.f64 (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x))) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64)))))) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 eps) x) (.f64 (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x))) (sqrt.f64 #s(literal -1 binary64)))))) eps))) (.f64 (neg.f64 eps) x)) eps)))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 eps eps))
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 eps eps))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 2 binary64)) eps) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps eps))

rewrite288.0ms (4.3%)

Memory

-24.3MiB live, 316.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	282
0	67	248
1	266	246
2	2318	222
0	8528	222

Stop Event

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

Counts

23 → 590

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps) #s(literal 2 binary64)))) (-.f64 (.f64 x (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (*.f64 x x) eps)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps) (-.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (-.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 3 binary64)) (fma.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64))) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64))) (fma.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) eps)))))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 eps)) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 eps)) (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) eps))))))
(/.f64 (fma.f64 (neg.f64 eps) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x))))
(/.f64 (fma.f64 (neg.f64 eps) (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) eps)))))))
(/.f64 (fma.f64 eps (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x))))
(/.f64 (fma.f64 eps (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) eps)))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (neg.f64 (neg.f64 eps)))) (.f64 (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (neg.f64 eps))) (.f64 (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) eps)) (.f64 (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) (neg.f64 (neg.f64 eps)))) (.f64 (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) (neg.f64 eps))) (.f64 (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) eps)) (.f64 (neg.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (fma.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x) (neg.f64 (neg.f64 eps)))) (.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))) (neg.f64 (neg.f64 eps)))) (.f64 (fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (.f64 x x) (neg.f64 (neg.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (/.f64 (fma.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (.f64 x x) (.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (-.f64 (.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps)))))
(/.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64))) (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64)) (/.f64 (.f64 eps eps) (-.f64 (.f64 x x) eps)))) (neg.f64 (-.f64 x (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (.f64 x x) (.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (-.f64 (.f64 x x) eps)))) (neg.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
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(/.f64 (pow.f64 (-.f64 (.f64 (neg.f64 x) x) (neg.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x eps)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3 binary64))) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) eps) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))
(fabs.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))
(exp.f64 (-.f64 (fma.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 3/2 binary64) (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))) (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))))
(exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 3 binary64)) (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 3/4 binary64) (.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 3/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)))))

eval174.0ms (2.6%)

Memory: 25.5MiB live, 249.2MiB allocated
Compiler: Compiled 44 975 to 4 389 computations (90.2% saved)

prune26.0ms (0.4%)

Memory

8.9MiB live, 65.9MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	937	5	942
Fresh	5	3	8
Picked	3	2	5
Done	0	4	4
Total	945	14	959

Accuracy

100.0%

Counts

959 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
✓	60.2%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	60.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	56.0%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	6.8%	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.6%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	99.5%	(+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
✓	65.3%	(+.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	56.2%	(+.f64 (-.f64 x #s(approx (/ (* x x) (sqrt (- (* x x) eps))) (neg.f64 x))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	45.4%	#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (.f64 (/.f64 (.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64)))
▶	43.5%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
▶	36.6%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (neg.f64 (neg.f64 x)))) eps))
▶	45.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
✓	45.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 483 to 262 computations (45.8% saved)

simplify165.0ms (2.4%)

Memory

-0.8MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	2	(.f64 (.f64 x x) (neg.f64 (neg.f64 x)))
cost-diff	2	(neg.f64 (neg.f64 x))
cost-diff	2	(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (neg.f64 (neg.f64 x))))
cost-diff	4	(fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
cost-diff	0	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
cost-diff	0	(*.f64 eps #s(literal -3 binary64))
cost-diff	0	(/.f64 (*.f64 eps #s(literal -3 binary64)) x)
cost-diff	0	#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (.f64 (/.f64 (.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64)))
cost-diff	2	(.f64 (/.f64 (.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))
cost-diff	0	(/.f64 eps x)
cost-diff	0	(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	2	(+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
cost-diff	6	(-.f64 (.f64 x x) (.f64 x x))
cost-diff	9	(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	360
0	82	282
1	163	276
2	477	267
3	2818	267
0	8551	266

Stop Event

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

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(literal 0 binary64)
(-.f64 (.f64 x x) (.f64 x x))
#s(literal 0 binary64)
(*.f64 x x)
x
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
eps
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 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 #s(literal 1/2 binary64) (/.f64 eps x)))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 eps x)
eps
x
#s(literal 1/2 binary64)
#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (.f64 (/.f64 (.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64)))
#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
(.f64 (/.f64 (.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (*.f64 eps #s(literal -3 binary64)) x)
(*.f64 #s(literal -3 binary64) (/.f64 eps x))
(*.f64 eps #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) eps)
eps
#s(literal -3 binary64)
x
#s(literal -1/6 binary64)
#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64)) x) eps))
(.f64 (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64)) x) eps)
(/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64)) x)
(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 (/.f64 eps x) x) #s(literal 1/2 binary64))
(/.f64 eps (*.f64 x x))
(/.f64 (/.f64 eps x) x)
eps
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (neg.f64 (neg.f64 x)))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64)) x) eps))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (neg.f64 (neg.f64 x)))) eps)
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64)) x) eps)
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(/.f64 (*.f64 #s(literal 1/8 binary64) eps) x)
(*.f64 #s(literal 1/8 binary64) (/.f64 eps x))
(*.f64 #s(literal 1/8 binary64) eps)
#s(literal 1/8 binary64)
eps
x
(neg.f64 (neg.f64 x))
x
(neg.f64 x)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(*.f64 x x)
#s(literal 1/2 binary64)
(.f64 (.f64 x x) (neg.f64 (neg.f64 x)))
(pow.f64 x #s(literal 3 binary64))

localize178.0ms (2.6%)

Memory

25.8MiB live, 305.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (.f64 x x) (neg.f64 (neg.f64 x)))
accuracy	8.551800122560305	(.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (neg.f64 (neg.f64 x)))) eps)
accuracy	11.246109453082287	(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (neg.f64 (neg.f64 x))))
accuracy	36.05312239214029	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (neg.f64 (neg.f64 x)))) eps))
accuracy	0.05859375	(/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
accuracy	8.551800122560305	(.f64 (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
accuracy	12.242197446690028	(/.f64 eps (*.f64 x x))
accuracy	36.05312239214029	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
accuracy	0.0	(*.f64 eps #s(literal -3 binary64))
accuracy	0.26953125	(/.f64 (*.f64 eps #s(literal -3 binary64)) x)
accuracy	0.39453125	(.f64 (/.f64 (.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))
accuracy	34.81326754698304	#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (.f64 (/.f64 (.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64)))
accuracy	0.0	(/.f64 eps x)
accuracy	0.0	(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
accuracy	34.81326754698304	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
accuracy	0.00390625	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01171875	(-.f64 (*.f64 x x) eps)
accuracy	0.01171875	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy	0.28515625	(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))

Samples

74.0ms	90×	1	valid
55.0ms	150×	0	valid
19.0ms	16×	2	valid

Compiler

Compiled 316 to 48 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 31.0ms (25.9% of total)

ival-pow: 25.0ms (20.9% of total)

ival-div: 19.0ms (15.9% of total)

ival-add: 15.0ms (12.5% of total)

adjust: 10.0ms (8.4% of total)

ival-sub: 9.0ms (7.5% of total)

const: 4.0ms (3.3% of total)

ival-sqrt: 3.0ms (2.5% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series50.0ms (0.7%)

Memory

-35.2MiB live, 63.2MiB allocated

Counts

26 → 133

Calls

Call 1

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

Outputs
0
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* 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)))
(* 1/2 (/ eps x))
(/ eps x)
(* (sqrt eps) (sqrt -1))
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(* -3 (/ eps x))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(* 1/8 eps)
(+ (* 1/8 eps) (* 1/2 (pow x 2)))
x
(pow x 3)
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* 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)))
(* -1 eps)
(- (pow x 2) eps)
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
(/ eps (pow x 2))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (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)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 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)
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x))
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/8 (/ eps (pow x 2)))))
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -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))))))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2)))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -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))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 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))))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* -3 eps)
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* eps (+ 1/8 (* 1/2 (/ (pow x 2) eps))))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* 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)) (/ x eps)))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* 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))))))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(* -1 (* eps (- (* -1/2 (/ (pow x 2) eps)) 1/8)))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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))))))
(* -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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	eps	@	-inf	((/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) (* x x)) (+ (/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (- (* x x) eps)) x))) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (* (/ (* eps -3) x) -1/6) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (/ (* eps -3) x) (* eps -3) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) eps) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ eps (* x x)) 1/8) 1/2) (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) (neg (neg x)) (* (* x x) (neg (neg x))) (/ eps (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)) (/ eps (* x x)) (- x (sqrt (- (* x x) eps))) (* (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) eps))
7.0ms	x	@	0	((/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) (* x x)) (+ (/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (- (* x x) eps)) x))) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (* (/ (* eps -3) x) -1/6) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (/ (* eps -3) x) (* eps -3) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) eps) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ eps (* x x)) 1/8) 1/2) (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) (neg (neg x)) (* (* x x) (neg (neg x))) (/ eps (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)) (/ eps (* x x)) (- x (sqrt (- (* x x) eps))) (* (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) eps))
4.0ms	x	@	-inf	((/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) (* x x)) (+ (/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (- (* x x) eps)) x))) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (* (/ (* eps -3) x) -1/6) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (/ (* eps -3) x) (* eps -3) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) eps) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ eps (* x x)) 1/8) 1/2) (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) (neg (neg x)) (* (* x x) (neg (neg x))) (/ eps (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)) (/ eps (* x x)) (- x (sqrt (- (* x x) eps))) (* (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) eps))
4.0ms	eps	@	inf	((/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) (* x x)) (+ (/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (- (* x x) eps)) x))) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (* (/ (* eps -3) x) -1/6) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (/ (* eps -3) x) (* eps -3) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) eps) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ eps (* x x)) 1/8) 1/2) (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) (neg (neg x)) (* (* x x) (neg (neg x))) (/ eps (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)) (/ eps (* x x)) (- x (sqrt (- (* x x) eps))) (* (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) eps))
3.0ms	x	@	inf	((/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) (* x x)) (+ (/ (- (* x x) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (- (* x x) eps)) x))) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (* (/ (* eps -3) x) -1/6) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (/ (* eps -3) x) (* eps -3) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) eps) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ eps (* x x)) 1/8) 1/2) (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) (neg (neg x)) (* (* x x) (neg (neg x))) (/ eps (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)) (/ eps (* x x)) (- x (sqrt (- (* x x) eps))) (* (/ (+ (* (/ (* 1/8 eps) x) (neg (neg x))) (* (* x x) 1/2)) (* (* x x) (neg (neg x)))) eps))

simplify246.0ms (3.6%)

Memory

12.6MiB live, 329.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	841	5153
1	2915	5019
0	8063	4773

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 132

Calls

Call 1

Inputs
0
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* 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)))
(* 1/2 (/ eps x))
(/ eps x)
(* (sqrt eps) (sqrt -1))
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(* -3 (/ eps x))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(* 1/8 eps)
(+ (* 1/8 eps) (* 1/2 (pow x 2)))
x
(pow x 3)
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* 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)))
(* -1 eps)
(- (pow x 2) eps)
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
(/ eps (pow x 2))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (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)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 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)
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x))
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/8 (/ eps (pow x 2)))))
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -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))))))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2)))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -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))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 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))))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* -3 eps)
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* eps (+ 1/8 (* 1/2 (/ (pow x 2) eps))))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* 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)) (/ x eps)))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* 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))))))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(* -1 (* eps (- (* -1/2 (/ (pow x 2) eps)) 1/8)))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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))))))
(* -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)))))))

Outputs
0
#s(literal 0 binary64)
(* (sqrt eps) (/ 1 (sqrt -1)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 x #s(literal 1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x (.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(pow x 2)
(*.f64 x x)
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 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)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))))
(* 1/2 (/ eps x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(/ eps x)
(/.f64 eps x)
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 x))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))) x #s(literal -1 binary64)) x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal 2 binary64) eps)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))))) x #s(literal -1 binary64)) x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* -3 (/ eps x))
(*.f64 #s(literal -3 binary64) (/.f64 eps x))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/.f64 (.f64 (.f64 eps eps) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (/ eps (pow x 3)))
(*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/8 binary64) eps (.f64 (.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (/ eps (pow x 2)))
(.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) eps (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(* 1/8 eps)
(*.f64 #s(literal 1/8 binary64) eps)
(+ (* 1/8 eps) (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/8 binary64) eps (.f64 (.f64 x x) #s(literal 1/2 binary64)))
x
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ x (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x)
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* 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)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(-.f64 (*.f64 x x) eps)
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (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)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (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)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64))) (.f64 x x) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(/ eps (pow x 2))
(/.f64 eps (*.f64 x x))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (.f64 eps eps) x) (.f64 #s(literal 1/2 binary64) eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (.f64 eps eps) x) (.f64 #s(literal 1/2 binary64) eps))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (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)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 (neg.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5/128 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (.f64 eps eps) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (.f64 eps eps) x) (.f64 #s(literal 1/2 binary64) eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (.f64 eps eps) x) (.f64 #s(literal 1/2 binary64) eps))) x)
(/ (- (* 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)
(/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (.f64 eps eps) x) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x)
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x))
(.f64 (.f64 #s(literal -3 binary64) (/.f64 eps x)) #s(literal -1/6 binary64))
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x)
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(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
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(* 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))))
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(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) eps)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
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#s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -3/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))) (.f64 x x)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))))) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 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-3 binary64)) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -3/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))) (.f64 x x)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))))) eps (.f64 #s(literal -3/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))))) eps)) eps)
(* -3 eps)
(*.f64 #s(literal -3 binary64) eps)
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ (* -1/2 (/ eps x)) (* 2 x))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) eps (.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(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) (pow.f64 x #s(literal 3 binary64)))) eps) (/.f64 #s(literal 1/2 binary64) x)) eps (*.f64 #s(literal 2 binary64) x))
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(+ x (* -1/2 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) eps x)
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(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) (pow.f64 x #s(literal 3 binary64)))) eps) (/.f64 #s(literal 1/2 binary64) x)) eps x)
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (neg.f64 (.f64 eps eps)))) (/.f64 x #s(literal -1 binary64)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (.f64 x (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 x #s(literal -1 binary64))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* 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)))))
(.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x eps)) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) eps)
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))
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(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))))
(.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))))) (.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (.f64 x x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps) #s(literal 3 binary64))))))))) eps)
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) eps)
(* eps (+ 1/8 (* 1/2 (/ (pow x 2) eps))))
(.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/2 binary64) #s(literal 1/8 binary64)) eps)
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) eps)
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(.f64 (fma.f64 (.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) eps)
(* 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)) (/ x eps)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)))) eps)
(* eps (- (/ (pow x 2) eps) 1))
(.f64 (-.f64 (/.f64 (.f64 x x) eps) #s(literal 1 binary64)) eps)
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* 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)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* 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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps)
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(-.f64 (/.f64 (neg.f64 (fma.f64 eps x (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) eps))) (neg.f64 eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(-.f64 (/.f64 (neg.f64 (fma.f64 eps x (/.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 eps) x)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 eps)))) eps))) (neg.f64 eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 x (neg.f64 eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) x) (neg.f64 eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps))
(* -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)))))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) eps) #s(literal -1 binary64) x) (neg.f64 eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps))
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (sqrt.f64 eps))
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))))
(.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))))) eps) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) eps))) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))))) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))))) eps) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))))) eps) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) eps))) (neg.f64 eps))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) eps)
(* -1 (* eps (- (* -1/2 (/ (pow x 2) eps)) 1/8)))
(.f64 (-.f64 (.f64 (/.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (neg.f64 eps))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (neg.f64 eps) x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) x)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 eps)) (.f64 eps x)) eps)))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) x) (neg.f64 eps))) (neg.f64 eps))
(* -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)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) eps) #s(literal -1 binary64) x) (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps))
(* -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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 eps))
(* -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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 eps))

rewrite203.0ms (3%)

Memory

32.4MiB live, 329.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	322
0	82	232
1	327	228
2	2539	218
0	8406	214

Stop Event

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

Counts

26 → 603

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
(.f64 (/.f64 eps (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(.f64 (/.f64 eps (-.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps)))
(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(.f64 (/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (-.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps) #s(literal 2 binary64)))) (-.f64 (.f64 x (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (*.f64 x x) eps)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps) (-.f64 (-.f64 (.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
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(/.f64 (fabs.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) eps)))) (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) eps))) (-.f64 (.f64 x x) eps))
(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps eps))) (fabs.f64 (.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fabs.f64 (.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)))) (fabs.f64 (sqrt.f64 (fma.f64 x x eps))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)))) (sqrt.f64 (neg.f64 (fma.f64 x x eps))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) eps)) (-.f64 (.f64 x x) eps))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps eps)) (.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(fabs.f64 (/.f64 (-.f64 (.f64 x x) eps) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (/.f64 (neg.f64 eps) x) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 eps)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 eps x)) (neg.f64 x))
(/.f64 (neg.f64 eps) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 eps x) x)
(/.f64 eps (*.f64 x x))
(neg.f64 (/.f64 eps (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (neg.f64 eps) x) x))
#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 eps (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) x) (/.f64 (/.f64 eps x) x))
(.f64 (/.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) x))) (.f64 x x)) (/.f64 eps x))
(.f64 (/.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) eps)
(.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))
(.f64 eps (/.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) eps) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) x))) eps) (.f64 x x)) x)
(/.f64 (/.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) x))) eps) x) (.f64 x x))
(/.f64 (.f64 (/.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) x))) (.f64 x x)) eps) x)
(/.f64 (.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x)))) eps) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 eps (/.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) x))) (.f64 x x))) x)
(/.f64 (.f64 eps (neg.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) eps)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) eps) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) eps) x) (pow.f64 x #s(literal 4 binary64))) eps (.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps))
(fma.f64 eps (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) eps) x) (pow.f64 x #s(literal 4 binary64))) (.f64 eps (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) eps) x) (pow.f64 x #s(literal 4 binary64))) eps) (.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps))
(+.f64 (.f64 eps (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) eps) x) (pow.f64 x #s(literal 4 binary64)))) (.f64 eps (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))

eval159.0ms (2.3%)

Memory: -22.6MiB live, 206.5MiB allocated
Compiler: Compiled 36 980 to 4 033 computations (89.1% saved)

prune53.0ms (0.8%)

Memory

10.7MiB live, 57.1MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	902	4	906
Fresh	1	2	3
Picked	3	2	5
Done	2	4	6
Total	908	12	920

Accuracy

100.0%

Counts

920 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
✓	60.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	56.0%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	6.8%	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.6%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	99.5%	(+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 eps (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
	99.9%	(+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 eps (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)))
	56.2%	(+.f64 (-.f64 x #s(approx (/ (* x x) (sqrt (- (* x x) eps))) (neg.f64 x))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	45.4%	#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (.f64 (/.f64 (.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64)))
✓	45.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
✓	45.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
	45.4%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1/6 binary64))))

Compiler

Compiled 1 165 to 316 computations (72.9% saved)

regimes64.0ms (0.9%)

Memory

-27.5MiB live, 27.8MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	eps
9.0ms	x
9.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes17.0ms (0.3%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes42.0ms (0.6%)

Memory

-25.4MiB live, 18.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	eps
3.0ms	x
3.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
98.1%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
87.0%	2	`x`
77.4%	2	`eps`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
96.6%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.0%	1	`eps`
56.0%	1	`x`
56.0%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.6%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
3.6%	1	`eps`
3.6%	1	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3282810737864456e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3282810737864456e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

simplify12.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	134
1	56	128
2	85	119
3	109	117
4	121	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 eps (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))

Outputs
(+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 eps (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)))
(/.f64 eps (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) x))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))

soundness891.0ms (13.1%)

Memory

-59.0MiB live, 637.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1069
1	807	1054
2	3108	1019
0	8668	960
0	33	213
0	55	207
1	183	207
2	1345	201
0	8645	201
0	6	22
0	10	22
1	42	22
2	320	22
3	3652	22
0	8870	22
0	38	282
0	67	248
1	266	246
2	2318	222
0	8528	222
0	51	322
0	82	232
1	327	228
2	2539	218
0	8406	214

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 380 to 136 computations (64.2% saved)

preprocess51.0ms (0.8%)

Memory: 22.0MiB live, 76.0MiB allocated
Compiler: Compiled 270 to 86 computations (68.1% saved)

end62.0ms (0.9%)

Memory: -29.2MiB live, 14.7MiB allocated

start0.0ms (0%)

analyze23.0ms (0.3%)

sample1.5s (22.1%)

explain95.0ms (1.4%)

preprocess46.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize35.0ms (0.5%)

series8.0ms (0.1%)

simplify230.0ms (3.4%)

rewrite143.0ms (2.1%)

eval33.0ms (0.5%)

prune13.0ms (0.2%)

simplify234.0ms (3.4%)

localize160.0ms (2.4%)

series28.0ms (0.4%)

simplify260.0ms (3.8%)

rewrite240.0ms (3.5%)

eval215.0ms (3.2%)

prune59.0ms (0.9%)

simplify154.0ms (2.3%)

localize282.0ms (4.2%)

series85.0ms (1.3%)

simplify243.0ms (3.6%)

rewrite288.0ms (4.3%)

eval174.0ms (2.6%)

prune26.0ms (0.4%)

simplify165.0ms (2.4%)

localize178.0ms (2.6%)

series50.0ms (0.7%)

simplify246.0ms (3.6%)

rewrite203.0ms (3%)

eval159.0ms (2.3%)

prune53.0ms (0.8%)

regimes64.0ms (0.9%)

regimes17.0ms (0.3%)

regimes42.0ms (0.6%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness891.0ms (13.1%)

preprocess51.0ms (0.8%)

end62.0ms (0.9%)

Profiling