Metrics for ENA, Section 1.4, Exercise 4d

analyze14.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB 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)

sample1.4s (10.8%)

Memory

28.7MiB live, 1 590.9MiB allocated

Samples

448.0ms	4 989×	0	valid
362.0ms	2 687×	1	valid
134.0ms	580×	2	valid
10.0ms	167×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 552.0ms

ival-sqrt: 138.0ms (25% of total)

ival-sub: 116.0ms (21% of total)

ival-mult: 103.0ms (18.6% of total)

adjust: 77.0ms (13.9% of total)

ival-<=: 77.0ms (13.9% of total)

ival-and: 22.0ms (4% of total)

exact: 17.0ms (3.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess32.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
136×	`sub-neg`
104×	`lower-*.f32`
102×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	43	44
2	118	41
3	278	41
4	488	41
5	557	41
6	568	41
0	6	8
0	10	8
1	14	8
2	22	8
3	34	8
4	52	8
5	94	8
6	161	8
7	206	8
8	289	8
9	319	8
10	335	8
0	335	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)))

explain98.0ms (0.7%)

Memory

-26.5MiB live, 170.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
103	-	-	`(-.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	103	1

Confusion

	Predicted +	Predicted -
+	103	0
-	0	153

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	103	0	0
-	0	1	152

Precision?

0.9903846153846154

Recall?

1.0

Freqs

test

number	freq
0	153
1	103

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

17.0ms	312×	0	valid
16.0ms	158×	1	valid
6.0ms	42×	2	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 7.0ms (30.9% of total)

ival-sqrt: 6.0ms (26.4% of total)

ival-mult: 6.0ms (26.4% of total)

adjust: 4.0ms (17.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify13.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
104×	`lower-*.f32`
102×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	24
0	10	24
1	14	24
2	22	24
3	34	24
4	52	24
5	94	24
6	161	24
7	206	24
8	289	24
9	319	24
10	335	24
0	335	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

localize29.0ms (0.2%)

Memory

2.8MiB live, 41.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	accuracy	100.0%	(-.f64 (*.f64 x x) eps)
✓	accuracy	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

8.0ms	79×	1	valid
8.0ms	156×	0	valid
5.0ms	21×	2	valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sqrt: 4.0ms (31% of total)

ival-mult: 4.0ms (31% of total)

ival-sub: 3.0ms (23.3% of total)

adjust: 2.0ms (15.5% of total)

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

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

series99.0ms (0.8%)

Memory

-27.4MiB live, 10.4MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))>
#<alt (sqrt.f64 (-.f64 (*.f64 x x) eps))>
#<alt (-.f64 (*.f64 x x) eps)>
#<alt (*.f64 x x)>

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

Calls

21 calls:

Time	Variable		Point	Expression
92.0ms	x	@	0	(- x (sqrt (- (* x x) eps)))
1.0ms	x	@	inf	(- x (sqrt (- (* x x) eps)))
1.0ms	eps	@	inf	(- x (sqrt (- (* x x) eps)))
1.0ms	eps	@	0	(- x (sqrt (- (* x x) eps)))
1.0ms	eps	@	-inf	(- x (sqrt (- (* x x) eps)))

simplify399.0ms (3%)

Memory

0.8MiB live, 621.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 222×	`lower-fma.f64`
11 222×	`lower-fma.f32`
4 906×	`lower-*.f64`
4 906×	`lower-*.f32`
3 416×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1257
1	784	1238
2	2594	1200
3	6944	1197
0	8091	1129

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

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)))
(* 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)
(* 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))))))))
(* 1/2 (/ eps x))
(* 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 (* (sqrt eps) (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)))))
(* (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))
(+ (* 1/2 (* (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)))))))))
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)))))))
(* -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))))))))
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)))))
(* (sqrt 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))))))
(* -1 (* (sqrt 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)
(- (pow x 2) eps)
(- (pow x 2) eps)
(- (pow x 2) eps)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(* -1 eps)
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

rewrite312.0ms (2.4%)

Memory

-32.7MiB live, 377.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 146×	`lower-fma.f64`
4 146×	`lower-fma.f32`
3 310×	`lower-*.f32`
3 308×	`lower-*.f64`
2 470×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	42	22
2	310	22
3	3602	22
0	8549	22

Stop Event

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

Counts

4 → 224

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 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) #s(literal -1 binary64)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (+.f64 x #s(literal 0 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(fma.f64 x (/.f64 x (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)
(fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (-.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x x)) eps) (.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 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (-.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x x)) eps) (-.f64 (-.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x x)) eps) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.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 x x) (-.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x x)) eps)) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 x x eps) (.f64 x x))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(neg.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x)))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))
(/.f64 (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) (.f64 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))) (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.f64 (.f64 x x) eps) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))) (.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))) (fma.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.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 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.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 (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) #s(literal 1 binary64)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (.f64 (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))))))
(/.f64 (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (.f64 (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (fma.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))))) (fma.f64 x (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
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eval43.0ms (0.3%)

Memory: 24.3MiB live, 96.5MiB allocated
Compiler: Compiled 9 677 to 1 049 computations (89.2% saved)

prune50.0ms (0.4%)

Memory

4.6MiB live, 125.4MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	293	13	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	293	14	307

Accuracy

99.6%

Counts

307 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 (.f64 x x) (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
▶	47.4%	(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
	62.8%	(fma.f64 x (/.f64 x (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
	62.9%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
▶	62.9%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
	62.8%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fma.f64 x (/.f64 x (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
▶	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
✓	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	59.2%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	6.7%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
▶	3.7%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	47.1%	(.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
	40.5%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x))
	42.9%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))

Compiler

Compiled 754 to 244 computations (67.6% saved)

simplify286.0ms (2.2%)

Memory

-0.8MiB live, 313.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
✓	cost-diff	192	(fma.f64 x x (-.f64 (*.f64 x x) eps))
✓	cost-diff	192	(fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))
✓	cost-diff	2432	(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 (*.f64 x x) eps)
✓	cost-diff	256	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
✓	cost-diff	896	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
✓	cost-diff	0	#s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))
✓	cost-diff	0	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
✓	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	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	cost-diff	0	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))

Rules

9 076×	`lower-fma.f32`
9 068×	`lower-fma.f64`
2 734×	`lower-*.f32`
2 730×	`lower-*.f64`
1 692×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	353
0	57	349
1	110	340
2	237	334
3	608	317
4	1667	317
5	3882	304
6	5733	304
7	6687	304
8	7282	304
9	7629	304
10	7866	304
0	8002	298

Stop Event

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

Calls

Call 1

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

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

localize466.0ms (3.6%)

Memory

-8.9MiB live, 233.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	accuracy	82.0%	(/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))
✓	accuracy	79.8%	(/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))
✓	accuracy	63.0%	(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
✓	accuracy	100.0%	(-.f64 (*.f64 x x) eps)
✓	accuracy	100.0%	(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
✓	accuracy	99.5%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
✓	accuracy	63.8%	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	99.7%	(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	63.2%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
✓	accuracy	43.5%	#s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	63.2%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
✓	accuracy	2.5%	#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
✓	accuracy	100.0%	(-.f64 (*.f64 x x) eps)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
✓	accuracy	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

281.0ms	21×	2	valid
83.0ms	79×	1	valid
53.0ms	156×	0	valid

Compiler

Compiled 350 to 29 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

adjust: 275.0ms (72.8% of total)

ival-add: 66.0ms (17.5% of total)

ival-div: 13.0ms (3.4% of total)

ival-mult: 10.0ms (2.6% of total)

ival-sub: 7.0ms (1.9% of total)

ival-neg: 4.0ms (1.1% of total)

ival-sqrt: 3.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series89.0ms (0.7%)

Memory

-10.3MiB live, 184.9MiB allocated

Counts

23 → 516

Calls

Call 1

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

Outputs
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- x (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* 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)))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)>
#<alt (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)>
#<alt (/ (- (* 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)>
#<alt (* 2 x)>
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#<alt x>
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#<alt x>
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#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)))) (+ (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps)))) (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (/ eps (pow x 2)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (+ (* -1 (* (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps))) (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (- eps (* 1/2 eps))))))) (+ (* -1/2 (* (+ (* -2 eps) (* -1 eps)) (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))))) (+ (* 1/2 (* (- eps (* 1/2 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 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 (/ eps (pow x 2)))) (+ 1 (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 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))) (/ eps (pow x 2))))))))))>
#<alt (* -1 (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (- (* -1 (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (- (* eps (- (* -1 (* 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))) (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (- (* eps (- (* eps (- (* -1 (* 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))))) (+ (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (pow x 3))) (+ (* 3/4 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* (pow x 3) (- (+ (* 1/16 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))) (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))>
#<alt (* eps (- (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))>
#<alt (* eps (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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)))))) (pow eps 2))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))>
#<alt (* eps (- (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) (* 1/2 (* (sqrt eps) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))) (pow eps 3))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))))>
#<alt (* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))>
#<alt (* -1 (* eps (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))))) (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (* -1 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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))))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 x) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (* -2 x)>
#<alt (* x (- (* 1/2 (/ eps (pow x 2))) 2))>
#<alt (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -1/2 (/ eps x))>
#<alt (* -1 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x))>
#<alt (* -1 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x))>
#<alt (* -1 (/ (- (* 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))>
#<alt (* -2 x)>
#<alt (- (* 1/2 (/ eps x)) (* 2 x))>
#<alt (- (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (- (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))>
#<alt (* 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)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* -1 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (/ (pow x 2) eps))>
#<alt (* (pow x 2) (- (* -1 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))>
#<alt (* (pow x 2) (- (* x (- (* -1 (* x (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2))))) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1)))) (/ 1 eps)))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2))))))))) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2))))) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1)))) (/ 1 eps)))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))))>
#<alt (- (+ 1/3 (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 4)))) (* 1/9 (/ (- (* -1/2 eps) eps) (pow x 2))))>
#<alt (- (+ 1/3 (* -1 (/ (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps))))) (pow x 6)))) (+ (* -1/27 (/ (pow (- (* -1/2 eps) eps) 2) (pow x 4))) (+ (* -1/72 (/ (pow eps 2) (pow x 4))) (* 1/9 (/ (- (* -1/2 eps) eps) (pow x 2))))))>
#<alt 1>
#<alt (- (+ 1 (/ eps (pow x 2))) (* 1/2 (/ eps (pow x 2))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (/ eps (pow x 2)))) (* 1/2 (/ eps (pow x 2))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps))) (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (- eps (* 1/2 eps)))))) (pow x 6))) (/ eps (pow x 2)))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (/ (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)) (pow x 4)))))>
#<alt (/ (pow x 2) (+ (* 2 (pow x 2)) (pow x 2)))>
#<alt (+ (* 3/2 (/ (* eps (pow x 2)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (/ (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (+ (* eps (- (* eps (- (* 1/8 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (* -9/4 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (+ (* eps (- (* eps (- (+ (* 1/8 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (* eps (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (* -3/2 (/ (- (* 1/8 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (* -9/4 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 2))))))) (* -9/4 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (/ (pow x 2) (* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))>
#<alt (/ (+ (* -2 (/ (pow x 4) (* eps (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (/ (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) eps)>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (pow x 6) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) (pow eps 2))) (/ (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* 2 (/ (pow x 4) (* eps (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) eps)>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 6) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 7) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))) (pow eps 3))) (/ (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (+ (* -4 (/ (pow x 6) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (* 2 (/ (pow x 4) (* eps (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) eps)>
#<alt (* -1 (/ (pow x 2) (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))>
#<alt (* -1 (/ (+ (* 2 (/ (pow x 4) (* eps (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (/ (pow x 2) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 6) (* eps (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) (* 2 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) eps)) (/ (pow x 2) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 6) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (* (sqrt (/ 1 eps)) (/ (* (pow x 7) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))) (+ (* -4 (/ (pow x 6) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) eps)) (* 2 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) eps)) (/ (pow x 2) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) eps))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* -1 (* x (pow (sqrt -1) 2))) (* -1 (* (sqrt eps) (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ (* -1 (pow (sqrt -1) 2)) (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))))))>
#<alt (+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ (* -1 (pow (sqrt -1) 2)) (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))))))) (* -1/2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 3)))))))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))>
#<alt (* x (+ 1/3 (+ (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 4))) (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))))>
#<alt (* x (+ 1/3 (+ (* -1 (/ (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2)))) (pow x 6))) (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* -1/18 (/ (* (- (* -1/2 eps) eps) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (pow x 6))) (+ (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 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 6))) (* 1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (/ eps (pow x 2)))) (* 1/2 (/ eps (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 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))) (/ eps (pow x 2))))))) (* 1/2 (/ eps (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps))) (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (- eps (* 1/2 eps)))))) (pow x 6))) (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)))) (pow x 6))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 1/2 (/ (* (- eps (* 1/2 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)) (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 (pow x 2))))))))))) (* 1/2 (/ eps (pow x 2))))))>
#<alt (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))>
#<alt (+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 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 (/ (+ 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))))) (+ (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (pow x 3))) (+ (* 3/4 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* (pow x 3) (- (+ (* 1/16 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 2)))))))))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))))))))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))>
#<alt (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))>
#<alt (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))>
#<alt (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))))>
#<alt (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 7))) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))))))>
#<alt (* -1 (* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))>
#<alt (* -1 (* eps (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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)))))))) eps))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* (pow x 2) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (* -1 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))) eps)) (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))) eps))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))>
#<alt (* (sqrt (pow eps 3)) (sqrt -1))>
#<alt (+ (* 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)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))>
#<alt (* (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))))))>
#<alt (* (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)))))))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (pow x 3)>
#<alt (+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<alt (* (sqrt (pow eps 3)) (sqrt -1))>
#<alt (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* (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)))))>
#<alt (* (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))))))>
#<alt (* (sqrt (pow eps 3)) (sqrt -1))>
#<alt (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* (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)))))>
#<alt (* (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

129 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	0	(+ (* x (/ (* x x) (+ (* x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps))))) (neg (/ (* (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps))))))
7.0ms	x	@	inf	(+ (* x (/ (* x x) (+ (* x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps))))) (neg (/ (* (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps))))))
6.0ms	eps	@	inf	(+ (* x (/ (* x x) (+ (* x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps))))) (neg (/ (* (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps))))))
4.0ms	eps	@	-inf	(* (- (* x x) eps) (sqrt (- (* x x) eps)))
4.0ms	x	@	0	(/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x))

simplify536.0ms (4.1%)

Memory

37.9MiB live, 821.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 918×	`lower-*.f64`
6 918×	`lower-*.f32`
6 804×	`lower-fma.f64`
6 804×	`lower-fma.f32`
3 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1715	17822
1	5647	17292
0	8380	16447

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 506

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)))
(* 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)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) 2)))
(* -1 (* x (- (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* 1/2 (/ eps x))
(* 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 (* (sqrt eps) (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)))))
(* (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)))))
(* -1 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* -1 (/ x (* eps (pow (sqrt -1) 2)))))
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x
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x
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(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* (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))))
(* 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 (/ (+ (* -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)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))
(* 1/2 (/ eps x))
(* 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))))
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -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 (* (sqrt eps) (sqrt -1)))
(+ 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)
(- (pow x 2) eps)
(- (pow x 2) eps)
(- (pow x 2) eps)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(* -1 eps)
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (sqrt eps) (sqrt -1))
(- (* x (pow (sqrt -1) 2)) (* -1 (* (sqrt eps) (sqrt -1))))
(- (* x (- (* -1 (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) (* -1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt eps) (sqrt -1))))
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))))))) (+ (* -1/2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 3))) (/ 1 eps))))) (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) (* -1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt eps) (sqrt -1))))
(* -1 (/ (+ (* -1/9 (- (* -1/2 eps) eps)) (+ (* 1/9 (- (* -1/2 eps) eps)) (* 1/6 (+ (* -2 eps) (* -1 eps))))) x))
(/ (- (* -1 (/ (+ (* -1 (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2)))) (+ (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))) (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (+ (* -1/72 (pow eps 2)) (* 1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))))) (pow x 2))) (+ (* -1/9 (- (* -1/2 eps) eps)) (+ (* 1/9 (- (* -1/2 eps) eps)) (* 1/6 (+ (* -2 eps) (* -1 eps)))))) x)
(/ (- (* -1 (/ (+ (* -1 (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps)))))) (+ (* -1/2 (* (+ (* -2 eps) (* -1 eps)) (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))))) (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/18 (* (- (* -1/2 eps) eps) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (+ (* -1/144 (pow eps 3)) (+ (* 1/216 (* (pow eps 2) (- (* -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))))))))))))) (pow x 4))) (+ (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 2))) (+ (* -1/9 (- (* -1/2 eps) eps)) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/27 (/ (pow (- (* -1/2 eps) eps) 2) (pow x 2))) (+ (* -1/72 (/ (pow eps 2) (pow x 2))) (+ (* 1/9 (- (* -1/2 eps) eps)) (+ (* 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))))))))))) x)
(/ (- (* -1 (/ (+ (* -1 (+ (* -1/3 (* (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps))))) (- (* -1/2 eps) eps))) (+ (* -1/18 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (+ (* 1/432 (* (pow eps 3) (- (* -1/2 eps) eps))) (* 1/24 (* (pow eps 2) (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))))))))) (+ (* -1/2 (* (+ (* -2 eps) (* -1 eps)) (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps))))))) (+ (* -1/2 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (+ (* -1/3 (* (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps))))) (- (* -1/2 eps) eps))) (+ (* -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)))))))))) (+ (* -1/18 (* (- (* -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)))))) (- (* -1/2 eps) eps))) (+ (* -1/18 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (+ (* 1/432 (* (pow eps 3) (- (* -1/2 eps) eps))) (* 1/24 (* (pow eps 2) (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))))))))))))) (pow x 6))) (+ (* -1 (/ (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps))))) (pow x 4))) (+ (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2)))) (pow x 4))) (+ (* -1/3 (/ (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* -1/9 (- (* -1/2 eps) eps)) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/18 (/ (* (- (* -1/2 eps) eps) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (pow x 4))) (+ (* -1/27 (/ (pow (- (* -1/2 eps) eps) 2) (pow x 2))) (+ (* -1/72 (/ (pow eps 2) (pow x 2))) (+ (* -1/144 (/ (pow eps 3) (pow x 4))) (+ (* 1/216 (/ (* (pow eps 2) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* 1/9 (- (* -1/2 eps) eps)) (+ (* 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)))))))))))))))))) x)
(* 2 x)
(* -1 (* x (- (/ eps (pow x 2)) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 2 (/ eps (pow x 2))))))))
(* -1 (* x (- (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (+ (/ eps (pow x 2)) (/ (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)) (pow x 4)))) (+ 2 (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 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))) (* 2 (/ eps (pow x 2)))))))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps)) (pow x 6))) (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (* (pow eps 2) (- eps (* 1/2 eps))) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (+ (/ eps (pow x 2)) (/ (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)) (pow x 4))))))) (+ 2 (+ (* -1 (/ (+ (* -1 (* (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps))) (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (- eps (* 1/2 eps)))))) (pow x 6))) (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)))) (pow x 6))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 1/2 (/ (* (- eps (* 1/2 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)) (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))) (* 2 (/ eps (pow x 2)))))))))))))))
(* -1 (* eps (+ (* -3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))
(* eps (- (* -1 (* eps (+ (* -9/4 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (+ (* -1/8 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))))) (+ (* -3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))
(* eps (- (* eps (- (* eps (- (* 1/16 (/ 1 (* x (pow (+ (* 2 (pow x 2)) (pow x 2)) 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))))) (+ (* -3/16 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (+ (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (pow x 3))) (+ (* 3/4 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 3/2 (/ (+ (* -9/4 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (* -1/8 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* (pow x 3) (- (+ (* 1/16 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 2))))))))))))) (+ (* -9/4 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (+ (* -1/8 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))))) (+ (* -3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))
(* eps (- (* eps (- (* eps (- (+ (* 1/16 (/ 1 (* x (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* eps (- (+ (* 5/128 (/ 1 (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/32 (/ 1 (* x (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (+ (* -3/2 (/ (- (* 1/16 (/ 1 (* x (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* -3/16 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (* 3/2 (/ (+ (* -9/4 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (* -1/8 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 2 (pow x 2)) (pow x 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -3/4 (/ (+ 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) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* -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))))) (+ (* 1/8 (/ (+ (* -9/4 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (* -1/8 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 1/16 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 3))) (+ (* 1/2 (/ (* (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (- (+ (* 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) (- (+ (* 5/128 (/ 1 (* (pow x 6) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/32 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (+ (* -3/2 (/ (- (+ (* 1/16 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 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))))) (+ (* -3/16 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (+ (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (pow x 3))) (+ (* 3/4 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 3/2 (/ (+ (* -9/4 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (* -1/8 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* (pow x 3) (- (+ (* 1/16 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 2))))))))))))) (+ (* -9/4 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (+ (* -1/8 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))))) (+ (* -3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(* eps (- (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))
(* eps (- (/ (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 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))))
(* eps (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 2 (/ (pow x 5) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) (pow eps 3))) (/ (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 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 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)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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))))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (* -1 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (pow x 5) (* eps (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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))))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(* -1 eps)
(- (* (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)
(* 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))))
(pow x 2)
(* (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))))
(+ (* 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)))
(* 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))
(* -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)
(- (* 2 (pow x 2)) eps)
(- (* 2 (pow x 2)) eps)
(- (* 2 (pow x 2)) eps)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(* 2 (pow x 2))
(+ (* -1 eps) (* 2 (pow x 2)))
(+ (* -1 eps) (* 2 (pow x 2)))
(+ (* -1 eps) (* 2 (pow x 2)))
(* -1 eps)
(* eps (- (* 2 (/ (pow x 2) eps)) 1))
(* eps (- (* 2 (/ (pow x 2) eps)) 1))
(* eps (- (* 2 (/ (pow x 2) eps)) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -2 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -2 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -2 (/ (pow x 2) eps)))))
(* (sqrt eps) (sqrt -1))
(- (* x (pow (sqrt -1) 2)) (* -1 (* (sqrt eps) (sqrt -1))))
(- (* x (- (* -1 (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) (* -1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt eps) (sqrt -1))))
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))))))) (* -1/2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 3)))))) (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) (* -1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt eps) (sqrt -1))))
(* -1/3 x)
(* x (- (* -1 (/ (+ (* -1/9 (- (* -1/2 eps) eps)) (* 1/6 (+ (* -2 eps) (* -1 eps)))) (pow x 2))) 1/3))
(* x (- (* -1 (/ (+ (* -1 (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2)))) (+ (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))) (* 1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ 1/3 (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))))
(* x (- (* -1 (/ (+ (* -1 (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps)))))) (+ (* -1/2 (* (+ (* -2 eps) (* -1 eps)) (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))))) (+ (* -1/18 (* (- (* -1/2 eps) eps) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (* 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 6))) (+ 1/3 (+ (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 4))) (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))))))
x
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)))) (+ (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps)))) (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (+ (* -1 (* (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps))) (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (- eps (* 1/2 eps))))))) (+ (* -1/2 (* (+ (* -2 eps) (* -1 eps)) (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))))) (+ (* 1/2 (* (- eps (* 1/2 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 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 (/ eps (pow x 2)))) (+ 1 (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 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))) (/ eps (pow x 2))))))))))
(* -1 (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))
(- (* -1 (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))
(- (* eps (- (* -1 (* 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))) (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))
(- (* eps (- (* eps (- (* -1 (* 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))))) (+ (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (pow x 3))) (+ (* 3/4 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* (pow x 3) (- (+ (* 1/16 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))) (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(* eps (- (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))
(* eps (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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)))))) (pow eps 2))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))
(* eps (- (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) (* 1/2 (* (sqrt eps) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))) (pow eps 3))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 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)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))))) (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (* -1 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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))))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(* -1 (* (sqrt eps) (sqrt -1)))
(- (* -1 x) (* (sqrt eps) (sqrt -1)))
(- (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))) 1)) (* (sqrt eps) (sqrt -1)))
(- (* x (- (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))
(* -2 x)
(* x (- (* 1/2 (/ eps (pow x 2))) 2))
(* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))
(* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1/2 (/ eps x))
(* -1 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x))
(* -1 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (- (* 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))
(* -2 x)
(- (* 1/2 (/ eps 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 x))
(* -1 (* (sqrt eps) (sqrt -1)))
(* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* (sqrt eps) (sqrt -1))
(* -1 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (/ (pow x 2) eps))
(* (pow x 2) (- (* -1 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))
(* (pow x 2) (- (* x (- (* -1 (* x (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2))))) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1)))) (/ 1 eps)))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2))))))))) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2))))) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1)))) (/ 1 eps)))
1/3
(+ 1/3 (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))))
(- (+ 1/3 (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 4)))) (* 1/9 (/ (- (* -1/2 eps) eps) (pow x 2))))
(- (+ 1/3 (* -1 (/ (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps))))) (pow x 6)))) (+ (* -1/27 (/ (pow (- (* -1/2 eps) eps) 2) (pow x 4))) (+ (* -1/72 (/ (pow eps 2) (pow x 4))) (* 1/9 (/ (- (* -1/2 eps) eps) (pow x 2))))))
1
(- (+ 1 (/ eps (pow x 2))) (* 1/2 (/ eps (pow x 2))))
(- (+ 1 (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (/ eps (pow x 2)))) (* 1/2 (/ eps (pow x 2))))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps))) (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (- eps (* 1/2 eps)))))) (pow x 6))) (/ eps (pow x 2)))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (/ (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)) (pow x 4)))))
(/ (pow x 2) (+ (* 2 (pow x 2)) (pow x 2)))
(+ (* 3/2 (/ (* eps (pow x 2)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (/ (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))
(+ (* eps (- (* eps (- (* 1/8 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (* -9/4 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))
(+ (* eps (- (* eps (- (+ (* 1/8 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (* eps (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (* -3/2 (/ (- (* 1/8 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (* -9/4 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 2))))))) (* -9/4 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))
(/ (pow x 2) (* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))
(/ (+ (* -2 (/ (pow x 4) (* eps (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (/ (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) eps)
(/ (- (+ (* -1 (/ (+ (* -4 (/ (pow x 6) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) (pow eps 2))) (/ (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* 2 (/ (pow x 4) (* eps (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) eps)
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 6) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 7) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))) (pow eps 3))) (/ (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (+ (* -4 (/ (pow x 6) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (* 2 (/ (pow x 4) (* eps (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) eps)
(* -1 (/ (pow x 2) (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (/ (+ (* 2 (/ (pow x 4) (* eps (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (/ (pow x 2) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) eps))
(* -1 (/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 6) (* eps (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) (* 2 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) eps)) (/ (pow x 2) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 6) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (* (sqrt (/ 1 eps)) (/ (* (pow x 7) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))) (+ (* -4 (/ (pow x 6) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) eps)) (* 2 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) eps)) (/ (pow x 2) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) eps))
(* -1 (* (sqrt eps) (sqrt -1)))
(+ (* -1 (* x (pow (sqrt -1) 2))) (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ (* -1 (pow (sqrt -1) 2)) (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ (* -1 (pow (sqrt -1) 2)) (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))))))) (* -1/2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 3)))))))))))
(* 1/3 x)
(* x (+ 1/3 (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))
(* x (+ 1/3 (+ (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 4))) (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))))
(* x (+ 1/3 (+ (* -1 (/ (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2)))) (pow x 6))) (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* -1/18 (/ (* (- (* -1/2 eps) eps) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (pow x 6))) (+ (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 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 6))) (* 1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))))))))
(* -1 x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (/ eps (pow x 2)))) (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (- (+ 1 (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 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))) (/ eps (pow x 2))))))) (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps))) (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (- eps (* 1/2 eps)))))) (pow x 6))) (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)))) (pow x 6))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 1/2 (/ (* (- eps (* 1/2 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)) (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 (pow x 2))))))))))) (* 1/2 (/ eps (pow x 2))))))
(/ (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))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (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))))) (+ (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))))) (/ (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))))) (+ (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 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 (/ (+ 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))))) (+ (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (pow x 3))) (+ (* 3/4 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* (pow x 3) (- (+ (* 1/16 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 2)))))))))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))))))))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))
(* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))
(* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))
(* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))))
(* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 7))) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))))))
(* -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)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(* -1 (* eps (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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)))))))) eps))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(* -1 (* eps (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* (pow x 2) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (* -1 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))) eps)) (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))) eps))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -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)))
(+ (* (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)))))))))
(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 (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))))))))
(pow x 3)
(+ (* 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))
(* (sqrt (pow eps 3)) (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))))))
(* (sqrt (pow eps 3)) (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
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(- x (* (sqrt eps) (sqrt -1)))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (.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 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (.f64 eps #s(literal 1/2 binary64)))) 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 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x x) (.f64 x x))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -2 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) 2)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* x (- (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -2 binary64)))) (neg.f64 x))
(* 1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) 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))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.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 eps (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.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 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 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 x eps)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))))
(* (sqrt eps) (sqrt -1))
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(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/16 binary64) (.f64 (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 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
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(* 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 x (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(neg.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(* -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) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
x
(+ x (* -1/2 (/ eps x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 eps (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) eps) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) x)
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 eps (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (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) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))) (neg.f64 eps))
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(- x (* (sqrt eps) (sqrt -1)))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (.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 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (.f64 eps #s(literal 1/2 binary64)))) 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 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x x) (.f64 x x))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -2 binary64)) (neg.f64 x))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (*.f64 x x)) #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 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(* 1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) 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))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.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 eps (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.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 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 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 x eps)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) x) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) eps)) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(* (sqrt eps) (sqrt -1))
(*.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 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/16 binary64) (.f64 (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 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(+.f64 x (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x 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 x (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(neg.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(* -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) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
x
(+ x (* -1/2 (/ eps x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 eps (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) eps) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) x)
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 eps (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (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) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))) (neg.f64 eps))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(- x (* (sqrt eps) (sqrt -1)))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (.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 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (.f64 eps #s(literal 1/2 binary64)))) 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 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x x) (.f64 x x))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -2 binary64)) (neg.f64 x))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (*.f64 x x)) #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 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(* 1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) 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))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.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 eps (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.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 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 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 x eps)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) x) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) eps)) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(* (sqrt eps) (sqrt -1))
(*.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 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/16 binary64) (.f64 (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 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(+.f64 x (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x 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 x (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(neg.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(* -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) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
x
(+ x (* -1/2 (/ eps x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 eps (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) eps) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) x)
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 eps (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (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) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))) (neg.f64 eps))
x
(+ x (* -1/2 (/ eps x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
(+ x (* -1/2 (/ eps x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
(+ x (* -1/2 (/ eps x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
(* -1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))
(* -1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(neg.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x eps))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(neg.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x eps))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(neg.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x eps))))
(* -1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x x)) x)
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x x)) x)
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x x)) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)))
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)))
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -1 binary64)))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -1 binary64)))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -1 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* (sqrt eps) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (/.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 x (fma.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 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 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* 1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (.f64 eps #s(literal 1/2 binary64)))) 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 (-.f64 (.f64 eps #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5/128 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x x) (.f64 x x))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -2 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x x) (*.f64 x x))))) #s(literal -2 binary64)))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 eps (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64)) (.f64 eps (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x))))))) #s(literal -2 binary64))))
(* 1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) 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))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))
(* (sqrt eps) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64)))
(- (+ (* -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 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 eps (.f64 eps eps))) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.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 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 eps (.f64 eps eps))) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 eps)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (/.f64 (.f64 x (.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (.f64 eps (.f64 eps eps)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 x #s(literal -1 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -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 eps) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (*.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 eps) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (sqrt.f64 (.f64 eps (.f64 eps eps)))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 eps (.f64 eps eps)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))))) eps)) (.f64 eps x)) eps)))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(-.f64 (*.f64 x x) eps)
(- (pow x 2) eps)
(-.f64 (*.f64 x x) eps)
(- (pow x 2) eps)
(-.f64 (*.f64 x x) eps)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(+ (* -1 eps) (pow x 2))
(-.f64 (*.f64 x x) eps)
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(-.f64 (*.f64 x x) eps)
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(* -1 (* x (- (/ eps (pow x 2)) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 2 (/ eps (pow x 2))))))))
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(* eps (- (* -1 (* eps (+ (* -9/4 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))) (+ (* -1/8 (/ x (pow (+ (* 2 (pow x 2)) (pow x 2)) 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))))) (+ (* -3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))
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(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
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(* eps (- (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))
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(* eps (- (/ (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 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))))
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(* eps (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 2 (/ (pow x 5) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) (pow eps 3))) (/ (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 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))))
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(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(* -1 (* eps (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64))))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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))))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 eps) (.f64 x (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64))))))))) eps)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)))))) eps)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (* -1 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (pow x 5) (* eps (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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))))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
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(* -1 eps)
(neg.f64 eps)
(- (* (sqrt eps) (* x (sqrt -1))) eps)
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (neg.f64 eps))
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps)
(fma.f64 x (fma.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) (neg.f64 eps))
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps)
(fma.f64 x (fma.f64 x (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal 2 binary64)) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) eps) (.f64 x x))))
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2))))
(.f64 (.f64 x x) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 eps (*.f64 x x))))
(* (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))))
(.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 eps (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal 1 binary64)) (/.f64 eps (.f64 x x))))
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)))) (/.f64 eps (*.f64 x x)))))
(* (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))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x))))) (/.f64 eps (*.f64 x x)))))
(+ (* 2 (pow x 2)) (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2)))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 eps #s(literal -3/2 binary64)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal -3/2 binary64)) (*.f64 x x)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) eps) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal -3/2 binary64)) (*.f64 x x)))
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))
(.f64 eps (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1))
(.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) eps) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))
(* 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 eps (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 (.f64 x (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) eps) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))
(* 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 eps (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 (.f64 x (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) eps) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))))
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (neg.f64 eps))
(* -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)))))))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x x))) eps))) (neg.f64 eps))
(* -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)))))))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 eps) (.f64 x (.f64 x x))) (sqrt.f64 #s(literal -1 binary64))))) eps)) eps))) (neg.f64 eps))
(* -1 eps)
(neg.f64 eps)
(- (* 2 (pow x 2)) eps)
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) eps)
(- (* 2 (pow x 2)) eps)
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) eps)
(- (* 2 (pow x 2)) eps)
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) eps)
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 eps (*.f64 x x))))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 eps (*.f64 x x))))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 eps (*.f64 x x))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 eps (*.f64 x x))))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 eps (*.f64 x x))))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) (/.f64 eps (*.f64 x x))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(+ (* -1 eps) (* 2 (pow x 2)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) eps)
(+ (* -1 eps) (* 2 (pow x 2)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) eps)
(+ (* -1 eps) (* 2 (pow x 2)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (* 2 (/ (pow x 2) eps)) 1))
(.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) eps) #s(literal -1 binary64)))
(* eps (- (* 2 (/ (pow x 2) eps)) 1))
(.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) eps) #s(literal -1 binary64)))
(* eps (- (* 2 (/ (pow x 2) eps)) 1))
(.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) eps) #s(literal -1 binary64)))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -2 (/ (pow x 2) eps)))))
(.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -2 (/ (pow x 2) eps)))))
(.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -2 (/ (pow x 2) eps)))))
(.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 eps))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(- (* x (pow (sqrt -1) 2)) (* -1 (* (sqrt eps) (sqrt -1))))
(+.f64 (neg.f64 x) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
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(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* -1 (/ (+ (* -1/9 (- (* -1/2 eps) eps)) (* 1/6 (+ (* -2 eps) (* -1 eps)))) (pow x 2))) 1/3))
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x
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (/ eps (pow x 2)))))))
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(* -1 (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))
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(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
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(* eps (- (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))
(.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))
(* eps (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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)))))) (pow eps 2))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))
(.f64 eps (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 eps) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))) (.f64 eps eps))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))))))
(* eps (- (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) (* 1/2 (* (sqrt eps) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))) (pow eps 3))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))))
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(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(* -1 (* eps (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64))))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))))) (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
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(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (* -1 (* (sqrt eps) (/ (* (pow x 5) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (* 1/2 (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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))))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
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(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(- (* -1 x) (* (sqrt eps) (sqrt -1)))
(-.f64 (neg.f64 x) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(- (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))) 1)) (* (sqrt eps) (sqrt -1)))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1 binary64)) (neg.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(- (* x (- (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 1/2 (/ eps (pow x 2))) 2))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 x x)) #s(literal -2 binary64)))
(* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))
(.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (*.f64 x x)) #s(literal 2 binary64))))
(* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
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(* -1/2 (/ eps x))
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x))
(* -1 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (.f64 eps #s(literal 1/2 binary64)))) x))
(* -1 (/ (- (* 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))
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(* -2 x)
(*.f64 x #s(literal -2 binary64))
(- (* 1/2 (/ eps x)) (* 2 x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) (*.f64 x #s(literal -2 binary64)))
(- (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (* 2 x))
(fma.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x #s(literal -2 binary64)))
(- (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* 2 x))
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(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 eps (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.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))))
(.f64 eps (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 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)))))
(.f64 eps (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x eps))))))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
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(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
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(* -1 (/ (pow x 2) eps))
(neg.f64 (/.f64 (*.f64 x x) eps))
(* (pow x 2) (- (* -1 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))
(.f64 (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) eps))))
(* (pow x 2) (- (* x (- (* -1 (* x (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2))))) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1)))) (/ 1 eps)))
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(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2))))))))) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2))))) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1)))) (/ 1 eps)))
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1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))))
(fma.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) eps) (.f64 x x)) #s(literal 1/3 binary64))
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(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* x (pow (sqrt -1) 2))) (* -1 (* (sqrt eps) (sqrt -1))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ (* -1 (pow (sqrt -1) 2)) (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))))))
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(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ (* -1 (pow (sqrt -1) 2)) (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* x (+ (* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (/ 1 (pow eps 2))) (/ (pow (sqrt -1) 2) (pow eps 2)))))))))) (* -1/2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 3)))))))))))
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(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) eps) (.f64 x x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps #s(literal -3 binary64))) (.f64 x x)))))
(* x (+ 1/3 (+ (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 4))) (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))))
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(* x (+ 1/3 (+ (* -1 (/ (+ (* -1/3 (* (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (- (* -1/2 eps) eps))) (+ (* -1/144 (pow eps 3)) (* 1/216 (* (pow eps 2) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* -1 (/ (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* -1/27 (pow (- (* -1/2 eps) eps) 2)) (* -1/72 (pow eps 2)))) (pow x 6))) (+ (* -1/9 (/ (- (* -1/2 eps) eps) (pow x 2))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* -1/18 (/ (* (- (* -1/2 eps) eps) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (pow x 6))) (+ (* 1/6 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 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 6))) (* 1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))))))))
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(* -1 x)
(neg.f64 x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (/ eps (pow x 2)))) (* 1/2 (/ eps (pow x 2))))))
(.f64 (neg.f64 x) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps #s(literal -3 binary64)) (.f64 x x)) (/.f64 eps (.f64 x x)))) (.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)))))
(* -1 (* x (- (+ 1 (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 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))) (/ eps (pow x 2))))))) (* 1/2 (/ eps (pow x 2))))))
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(* -1 (* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps))) (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (- eps (* 1/2 eps)))))) (pow x 6))) (+ (* -1 (/ (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* 1/8 (pow eps 2)) (* (- eps (* 1/2 eps)) (- (* 1/2 eps) eps)))) (pow x 6))) (+ (* 1/2 (/ (* (+ (* -2 eps) (* -1 eps)) (- eps (* 1/2 eps))) (pow x 4))) (+ (* 1/2 (/ (* (- eps (* 1/2 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)) (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 (pow x 2))))))))))) (* 1/2 (/ eps (pow x 2))))))
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(/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))
(/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))
(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))) (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x))))
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 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)))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))))))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))
(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))) (/.f64 #s(literal 9/4 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))) (/.f64 (.f64 #s(literal 3/4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))))) (/.f64 (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))) (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x))))
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 3/2 (/ (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 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 (/ (+ 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))))) (+ (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (pow x 3))) (+ (* 3/4 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* (pow x 3) (- (+ (* 1/16 (/ 1 (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 3))))) (* -3/2 (/ (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))) (+ (* 2 (pow x 2)) (pow x 2)))))))))) (* (pow x 3) (+ (* 1/8 (/ 1 (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 9/4 (/ 1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))))))))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))
(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))) (/.f64 #s(literal 9/4 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))) (-.f64 (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))) (/.f64 #s(literal 9/4 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))) (.f64 x x))))) (/.f64 (.f64 #s(literal 3/4 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))) (/.f64 #s(literal 9/4 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))))))) (/.f64 (.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))) (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x))))
(* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))
(/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))
(.f64 eps (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))))))
(* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))))
(.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 eps) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))))))
(* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 7))) (* (sqrt -1) (+ (* -2 (/ (* (pow x 2) (+ (* -4 (/ (pow x 4) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))) (* 1/2 (* (sqrt eps) (/ (pow x 3) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (* -1 (* (sqrt eps) (/ (pow x 5) (* (sqrt -1) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (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))))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))))))))
(.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))) (-.f64 (-.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 eps) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 5 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #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 (.f64 x x) (.f64 x x)) #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 x x)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 eps) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))))))))))
(* -1 (* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(neg.f64 (/.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1 binary64))))
(* -1 (* eps (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
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(* -1 (* eps (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (/ (pow x 4) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))) (* 1/2 (* (sqrt eps) (/ (* (pow x 3) (sqrt -1)) (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)))))))) eps))) eps)) (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))
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(* (sqrt (pow eps 3)) (sqrt -1))
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(pow x 3)
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(* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))
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(* (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)))))))
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(pow x 3)
(.f64 x (.f64 x x))
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3))
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(+ (* 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))
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(* (sqrt (pow eps 3)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 eps (*.f64 eps eps))))
(* (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 eps eps) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))))
(* (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 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -3 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 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 eps (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))))
(* (sqrt (pow eps 3)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 eps (*.f64 eps 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 (.f64 eps eps) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (*.f64 x x))))))
(* (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 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (*.f64 x x)))))))
(* (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 (.f64 eps eps) (-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (.f64 x x))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) eps) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 eps (.f64 eps eps)))))

rewrite824.0ms (6.3%)

Memory

-5.4MiB live, 1 237.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 382×	`lower-*.f32`
4 378×	`lower-*.f64`
3 638×	`lower-/.f32`
3 626×	`lower-/.f64`
3 298×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	307
0	57	249
1	254	229
2	2154	227
0	8706	226

Stop Event

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

Counts

23 → 2 423

Calls

Call 1

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

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

eval1.2s (9%)

Memory: -88.7MiB live, 1 684.3MiB allocated
Compiler: Compiled 292 410 to 8 888 computations (97% saved)

prune603.0ms (4.6%)

Memory

-13.8MiB live, 824.8MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	4 124	4	4 128
Fresh	7	1	8
Picked	4	1	5
Done	0	1	1
Total	4 135	7	4 142

Accuracy

100.0%

Counts

4 142 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
✓	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	59.2%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	6.7%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
✓	3.7%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	40.5%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x))
▶	42.9%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))

Compiler

Compiled 135 to 80 computations (40.7% saved)

simplify250.0ms (1.9%)

Memory

9.5MiB live, 527.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 eps eps) (.f64 x x))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x)
✓	cost-diff	0	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x))
✓	cost-diff	320	(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 eps x)
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
✓	cost-diff	0	#s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))
✓	cost-diff	0	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
✓	cost-diff	0	(*.f64 eps #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
✓	cost-diff	0	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
✓	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 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
✓	cost-diff	0	(neg.f64 eps)
✓	cost-diff	0	#s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps))
✓	cost-diff	0	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))

Rules

8 128×	`lower-fma.f32`
8 124×	`lower-fma.f64`
2 770×	`lower-*.f32`
2 764×	`lower-*.f64`
1 598×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	256
0	58	270
1	96	270
2	167	267
3	319	221
4	597	221
5	1744	221
6	4769	221
7	6655	221
8	7963	221
0	8100	218

Stop Event

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

Calls

Call 1

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

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

localize1.7s (12.8%)

Memory

-5.0MiB live, 190.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 eps #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x)
✓	accuracy	60.3%	(/.f64 (.f64 eps eps) (.f64 x x))
✓	accuracy	40.9%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x))
✓	accuracy	100.0%	(/.f64 eps x)
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
✓	accuracy	63.2%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
✓	accuracy	43.5%	#s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))
✓	accuracy	100.0%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 eps #s(literal 1/2 binary64))
✓	accuracy	42.9%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
✓	accuracy	63.2%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	accuracy	60.5%	#s(approx (- (* x x) eps) (neg.f64 eps))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	accuracy	100.0%	(-.f64 (*.f64 x x) eps)
✓	accuracy	100.0%	(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
✓	accuracy	99.5%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))

Samples

846.0ms	158×	0	valid
78.0ms	77×	1	valid
9.0ms	21×	2	valid

Compiler

Compiled 211 to 26 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 503.0ms

ival-mult: 418.0ms (83.1% of total)

ival-div: 64.0ms (12.7% of total)

ival-sub: 7.0ms (1.4% of total)

adjust: 5.0ms (1% of total)

ival-sqrt: 3.0ms (0.6% of total)

ival-neg: 2.0ms (0.4% of total)

ival-add: 2.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

37.3MiB live, 37.3MiB allocated

Counts

20 → 456

Calls

Call 1

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

Outputs
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)>
#<alt (/ (- (+ (* -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)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* 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))))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -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)))>
#<alt (- (+ (* -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)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (+ x (* -1 (* (sqrt eps) (sqrt -1))))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 x) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (* -2 x)>
#<alt (* x (- (* 1/2 (/ eps (pow x 2))) 2))>
#<alt (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -1/2 (/ eps x))>
#<alt (* -1 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x))>
#<alt (* -1 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x))>
#<alt (* -1 (/ (- (* 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))>
#<alt (* -2 x)>
#<alt (- (* 1/2 (/ eps x)) (* 2 x))>
#<alt (- (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (- (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))>
#<alt (* 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)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* -1 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- x (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* 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)))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)>
#<alt (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)>
#<alt (/ (- (* 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)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))>
#<alt (* -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))))))))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* 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))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -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)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))>
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#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -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)))>
#<alt (- (+ (* -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)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (+ x (* -1 (* (sqrt eps) (sqrt -1))))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 3)))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (* 1/2 (/ eps x))>
#<alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (* -1 eps)>
#<alt (- (pow x 2) eps)>
#<alt (- (pow x 2) eps)>
#<alt (- (pow x 2) eps)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -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))))))))>
#<alt x>
#<alt (+ x (* -1/2 (/ eps x)))>
#<alt (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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

114 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(/ (* eps 1/2) x)
1.0ms	eps	@	inf	(+ (* 1/8 (/ (* eps eps) (* x x))) (* eps 1/2))
1.0ms	x	@	0	(+ (* 1/8 (/ (* eps eps) (* x x))) (* eps 1/2))
0.0ms	eps	@	inf	(/ (* eps 1/2) x)
0.0ms	eps	@	0	(+ (* 1/8 (/ (* eps eps) (* x x))) (* eps 1/2))

simplify380.0ms (2.9%)

Memory

20.5MiB live, 680.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 488×	`lower-fma.f64`
9 488×	`lower-fma.f32`
5 372×	`lower-*.f64`
5 372×	`lower-*.f32`
2 366×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	6632
1	1385	6231
2	4786	6119
0	8300	5787

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 447

Calls

Call 1

Inputs
(* (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))))
(* 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 (/ (+ (* -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)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))
(* 1/2 (/ eps x))
(* 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))))
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -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 (* (sqrt eps) (sqrt -1)))
(+ 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 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 (* (sqrt eps) (sqrt -1)))
(- (* -1 x) (* (sqrt eps) (sqrt -1)))
(- (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))) 1)) (* (sqrt eps) (sqrt -1)))
(- (* x (- (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))
(* -2 x)
(* x (- (* 1/2 (/ eps (pow x 2))) 2))
(* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))
(* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1/2 (/ eps x))
(* -1 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x))
(* -1 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (- (* 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))
(* -2 x)
(- (* 1/2 (/ eps 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 x))
(* -1 (* (sqrt eps) (sqrt -1)))
(* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* 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)))))
(* (sqrt eps) (sqrt -1))
(* -1 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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))
(/ (- (* 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)
(* 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))))))))
(* 1/2 (/ eps x))
(* 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 (* (sqrt eps) (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)))))
(* (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))
(+ (* 1/2 (* (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)))))))))
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)))))))
(* -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))))))))
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)))))
(* (sqrt 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))))))
(* -1 (* (sqrt eps) (sqrt -1)))
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(* -1 eps)
(- (pow x 2) eps)
(- (pow x 2) eps)
(- (pow x 2) eps)
(pow x 2)
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(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
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(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(* -1 eps)
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(/ (- (* 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)
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(* (sqrt eps) (sqrt -1))
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x
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x
(+ x (* -1/2 (/ eps x)))
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(* (sqrt eps) (sqrt -1))
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(* 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 (* (sqrt 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)))))))
x
(+ x (* -1/2 (/ eps x)))
(+ x (* -1/2 (/ eps x)))
(+ x (* -1/2 (/ eps x)))
(* -1/2 (/ eps x))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* -1/2 (/ eps x))
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(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ (+ (* -1/2 eps) (pow x 2)) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
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(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
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(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
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(/ eps x)
(/ eps x)
(/ eps x)
(/ eps x)
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(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))
(* 1/2 eps)
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(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))
(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))
(* 1/2 eps)
(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))
(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))
(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))
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(/ (+ (* 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)
(* 2 x)
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(- (+ (* -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 (* (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)))
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(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/2 (/ eps x))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(* 1/2 (/ eps x))
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(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(/ (pow eps 2) (pow x 2))
(* -1 eps)
(- (pow x 2) eps)
(- (pow x 2) eps)
(- (pow x 2) eps)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(* -1 eps)
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* (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)))))))))
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)))))))
(* -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))))))))
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)))))
(* (sqrt 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))))))
(* -1 (* (sqrt 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)))))))

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

rewrite445.0ms (3.4%)

Memory

-33.5MiB live, 627.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 014×	`lower-/.f32`
5 004×	`lower-/.f64`
4 754×	`lower-fma.f32`
4 750×	`lower-fma.f64`
3 974×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	221
0	58	221
1	210	213
2	1586	193
0	8376	191

Stop Event

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

Counts

20 → 571

Calls

Call 1

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

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

eval130.0ms (1%)

Memory: 15.6MiB live, 249.5MiB allocated
Compiler: Compiled 24 383 to 2 431 computations (90% saved)

prune100.0ms (0.8%)

Memory

5.0MiB live, 203.5MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 056	4	1 060
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	1 057	10	1 067

Accuracy

100.0%

Counts

1 067 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x)))
✓	99.5%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
▶	43.5%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x))
✓	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.2%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	6.7%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
✓	3.7%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	40.8%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x))
✓	42.9%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
▶	42.7%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 124 to 72 computations (41.9% saved)

simplify269.0ms (2.1%)

Memory

-18.4MiB live, 338.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x)))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	cost-diff	192	(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) eps))
✓	cost-diff	320	(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x))
✓	cost-diff	0	(-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x)
✓	cost-diff	0	(neg.f64 eps)
✓	cost-diff	0	#s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps))
✓	cost-diff	0	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x))
✓	cost-diff	0	(fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x)
✓	cost-diff	0	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x))
✓	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 x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Rules

8 062×	`lower-fma.f32`
8 056×	`lower-fma.f64`
2 380×	`lower-+.f32`
2 378×	`lower-+.f64`
2 294×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	320
0	66	323
1	123	319
2	242	316
3	574	256
4	1572	256
5	4954	256
6	7687	256
0	8117	256

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (0.9%)

Memory

18.4MiB live, 211.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 x x) eps)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	accuracy	99.7%	(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x))
✓	accuracy	99.5%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x)))
✓	accuracy	100.0%	(-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x)
✓	accuracy	99.7%	(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	99.5%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x))
✓	accuracy	43.5%	#s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))
✓	accuracy	99.9%	(/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x)
✓	accuracy	90.7%	(.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))
✓	accuracy	80.7%	(/.f64 eps (*.f64 x x))
✓	accuracy	40.9%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
✓	accuracy	42.9%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Samples

34.0ms	164×	0	valid
29.0ms	75×	1	valid
9.0ms	17×	2	valid

Compiler

Compiled 269 to 34 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 13.0ms (26.7% of total)

ival-mult: 10.0ms (20.5% of total)

ival-sub: 8.0ms (16.4% of total)

adjust: 6.0ms (12.3% of total)

ival-add: 5.0ms (10.3% of total)

ival-sqrt: 3.0ms (6.2% of total)

ival-neg: 3.0ms (6.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series38.0ms (0.3%)

Memory

1.1MiB live, 38.5MiB allocated

Counts

20 → 456

Calls

Call 1

Inputs
#<alt #s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt #s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x))>
#<alt (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x)>
#<alt (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x))>
#<alt #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps))>
#<alt (neg.f64 eps)>
#<alt (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x)>
#<alt (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x))>
#<alt (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) eps))>
#<alt (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))>
#<alt (/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x)))>
#<alt (/.f64 eps (*.f64 x x))>
#<alt #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))>
#<alt (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))>
#<alt (-.f64 (*.f64 x x) eps)>

Outputs
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)>
#<alt (/ (- (+ (* -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)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* 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))))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -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)))>
#<alt (- (+ (* -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)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (+ x (* -1 (* (sqrt eps) (sqrt -1))))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)>
#<alt (/ (- (+ (* -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)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* 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))))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -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)))>
#<alt (- (+ (* -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)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (+ x (* -1 (* (sqrt eps) (sqrt -1))))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 3)))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (* 1/2 (/ eps x))>
#<alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))>
#<alt (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))>
#<alt (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))>
#<alt (* 1/2 eps)>
#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (* 1/8 (/ eps (pow x 2)))>
#<alt (* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (/ eps (pow x 2)))>
#<alt (* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))>
#<alt (* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))>
#<alt (* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))>
#<alt (* 1/8 (/ eps (pow x 2)))>
#<alt (/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)>
#<alt (/ (- (+ (* -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)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* 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))))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -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)))>
#<alt (- (+ (* -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)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (+ x (* -1 (* (sqrt eps) (sqrt -1))))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 x) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (* -2 x)>
#<alt (* x (- (* 1/2 (/ eps (pow x 2))) 2))>
#<alt (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -1/2 (/ eps x))>
#<alt (* -1 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x))>
#<alt (* -1 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x))>
#<alt (* -1 (/ (- (* 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))>
#<alt (* -2 x)>
#<alt (- (* 1/2 (/ eps x)) (* 2 x))>
#<alt (- (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (- (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))>
#<alt (* 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)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* -1 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
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#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ (* -1 x) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* x (- (* x (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* x (- (* x (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -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))))))))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (* -2 x)>
#<alt (* x (- (+ (* -1/2 (/ eps (pow x 2))) (/ eps (pow x 2))) 2))>
#<alt (* x (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))))) 2))>
#<alt (* x (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 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 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))))))) 2))>
#<alt (* -1 (/ (+ eps (* -1/2 eps)) x))>
#<alt (* -1 (/ (+ eps (+ (* -1/2 eps) (+ (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x))>
#<alt (* -1 (/ (+ eps (+ (* -1/2 eps) (+ (* -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 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))) x))>
#<alt (* -1 (/ (+ eps (+ (* -1/2 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 (/ (+ (* -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 (/ (pow eps 2) (pow x 2)))))))))) x))>
#<alt (- (* -1 x) x)>
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#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* eps (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps)))>
#<alt (* eps (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) (/ x eps)))>
#<alt (* eps (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (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)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (/ x eps)))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1))))) eps)) x) eps)))))>
#<alt eps>
#<alt (+ eps (* -1 (pow x 2)))>
#<alt (+ eps (* -1 (pow x 2)))>
#<alt (+ eps (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
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#<alt (* (pow x 2) (- (/ eps (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (- eps (pow x 2))>
#<alt (- eps (pow x 2))>
#<alt (- eps (pow x 2))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (pow x 2) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (pow x 2) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (pow x 2) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (pow x 2) eps) 1)))>
#<alt (* -1 (* eps (- (/ (pow x 2) eps) 1)))>
#<alt (* -1 (* eps (- (/ (pow x 2) eps) 1)))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -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))))))))>
#<alt x>
#<alt (+ x (* -1/2 (/ eps x)))>
#<alt (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1 (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (- (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (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)))))>
#<alt (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (- (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* x (+ (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) (pow (sqrt -1) 3))) (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))))))) (/ 1 (pow (sqrt -1) 2)))))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (+ (* 1/4 (/ (* eps (+ eps (* -1/2 eps))) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (+ (* 1/8 (/ (* eps (pow (+ eps (* -1/2 eps)) 2)) (pow x 4))) (+ (* 1/4 (/ (* eps (+ eps (* -1/2 eps))) (pow x 2))) (+ (* 1/4 (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (pow x 4))) (* 1/2 eps)))) x)>
#<alt (/ (+ (* 1/8 (/ (* eps (* (+ eps (* -1/2 eps)) (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))))) (pow x 6))) (+ (* 1/8 (/ (* eps (pow (+ eps (* -1/2 eps)) 2)) (pow x 4))) (+ (* 1/4 (/ (* eps (+ eps (* -1/2 eps))) (pow x 2))) (+ (* 1/4 (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (pow x 6))) (+ (* 1/4 (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (pow x 4))) (+ (* 1/2 eps) (* 1/2 (/ (* (+ eps (* -1/2 eps)) (+ (* 1/8 (* eps (pow (+ eps (* -1/2 eps)) 2))) (* 1/4 (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))))))) (pow x 6))))))))) x)>
#<alt (/ (* eps x) (+ eps (* -1/2 eps)))>
#<alt (* -1 (* x (+ (* -1 (/ eps (+ eps (* -1/2 eps)))) (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* -1/2 eps)) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ eps (+ eps (* -1/2 eps)))) (+ (* -1 (/ (* eps (pow (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))) 2)) (* (pow x 4) (pow (+ eps (* -1/2 eps)) 3)))) (+ (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (* (pow x 4) (pow (+ eps (* -1/2 eps)) 2))) (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* -1/2 eps)) 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ eps (+ eps (* -1/2 eps)))) (+ (* -1 (/ (* eps (* (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))))) (* (pow x 6) (pow (+ eps (* -1/2 eps)) 3)))) (+ (* -1 (/ (* eps (pow (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))) 2)) (* (pow x 4) (pow (+ eps (* -1/2 eps)) 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* eps (pow (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))) 2)) (pow (+ eps (* -1/2 eps)) 3))) (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (pow (+ eps (* -1/2 eps)) 2))) (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (* (pow x 6) (+ eps (* -1/2 eps))))) (+ (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (* (pow x 4) (pow (+ eps (* -1/2 eps)) 2))) (+ (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 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) (pow (+ eps (* -1/2 eps)) 2))) (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* -1/2 eps)) 2)))))))))))>
#<alt (* -1 (/ eps (- (* -1 x) x)))>
#<alt (* eps (- (* 1/2 (/ eps (* x (pow (- (* -1 x) x) 2)))) (/ 1 (- (* -1 x) x))))>
#<alt (* eps (- (* eps (+ (* -1 (* eps (- (* 1/4 (/ 1 (* (pow x 2) (pow (- (* -1 x) x) 3)))) (* 1/8 (/ 1 (* (pow x 3) (pow (- (* -1 x) x) 2))))))) (* 1/2 (/ 1 (* x (pow (- (* -1 x) x) 2)))))) (/ 1 (- (* -1 x) x))))>
#<alt (* eps (- (* eps (+ (* eps (+ (* -1 (* eps (- (* 1/16 (/ 1 (* (pow x 4) (pow (- (* -1 x) x) 3)))) (+ (* 1/16 (/ 1 (* (pow x 5) (pow (- (* -1 x) x) 2)))) (* 1/2 (/ (- (* 1/4 (/ 1 (* (pow x 2) (pow (- (* -1 x) x) 3)))) (* 1/8 (/ 1 (* (pow x 3) (pow (- (* -1 x) x) 2))))) (* x (- (* -1 x) x)))))))) (* -1 (- (* 1/4 (/ 1 (* (pow x 2) (pow (- (* -1 x) x) 3)))) (* 1/8 (/ 1 (* (pow x 3) (pow (- (* -1 x) x) 2)))))))) (* 1/2 (/ 1 (* x (pow (- (* -1 x) x) 2)))))) (/ 1 (- (* -1 x) x))))>
#<alt (* -1 (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (/ x (pow (sqrt -1) 2)))>
#<alt (- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (pow eps 3)) (/ (pow (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) 2) (pow (sqrt -1) 3)))) (pow eps 2)))) (* -1 (/ (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* (+ (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (pow eps 3)) (/ (pow (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) 2) (pow (sqrt -1) 3)))) (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x)) (sqrt -1)))) (+ (* -1 (/ (* eps (+ (* -1/2 (* (sqrt eps) (/ (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (/ (pow x 4) (sqrt -1)))))) (pow (sqrt -1) 2))) (* -1/2 (/ (* (pow eps 2) (* (pow x 2) (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x))) (pow (sqrt -1) 4))))) (pow eps 3)))) (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ (pow (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) 2) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (+ x (* -1 (* (sqrt eps) (sqrt -1))))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (/ eps (pow x 2))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -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))))))))>
#<alt x>
#<alt (+ x (* -1/2 (/ eps x)))>
#<alt (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt x>
#<alt (+ x (* -1/2 (/ eps x)))>
#<alt (+ x (* -1/2 (/ eps x)))>
#<alt (+ x (* -1/2 (/ eps x)))>
#<alt (* -1/2 (/ eps x))>
#<alt (* eps (- (/ x eps) (* 1/2 (/ 1 x))))>
#<alt (* eps (- (/ x eps) (* 1/2 (/ 1 x))))>
#<alt (* eps (- (/ x eps) (* 1/2 (/ 1 x))))>
#<alt (* -1/2 (/ eps x))>
#<alt (* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/2 (/ eps x))>
#<alt (/ (+ (* -1/2 eps) (pow x 2)) x)>
#<alt (/ (+ (* -1/2 eps) (pow x 2)) x)>
#<alt (/ (+ (* -1/2 eps) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))>
#<alt (* (sqrt (/ 1 eps)) (sqrt -1))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ eps (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) x)>
#<alt (/ (+ 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)))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 1/2 (/ eps (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) x))>
#<alt (* -1 (/ (+ 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)))))) x))>
#<alt (/ 1 x)>
#<alt (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x))>
#<alt (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (* (sqrt (/ 1 eps)) (sqrt -1))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (/ 1 eps)) (sqrt -1))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* -1 eps)>
#<alt (- (pow x 2) eps)>
#<alt (- (pow x 2) eps)>
#<alt (- (pow x 2) eps)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>

Calls

114 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	(/ 1 (+ 0 (sqrt (- (* x x) eps))))
3.0ms	x	@	-inf	(- 0 (- (* x x) eps))
2.0ms	x	@	-inf	(/ (- (- (* x x) eps) (* x x)) (+ (* (- 0 (- (* x x) eps)) (/ 1 (+ 0 (sqrt (- (* x x) eps))))) (neg x)))
2.0ms	eps	@	inf	(/ (- (- (* x x) eps) (* x x)) (+ (* (- 0 (- (* x x) eps)) (/ 1 (+ 0 (sqrt (- (* x x) eps))))) (neg x)))
1.0ms	x	@	inf	(/ (- (- (* x x) eps) (* x x)) (+ (* (- 0 (- (* x x) eps)) (/ 1 (+ 0 (sqrt (- (* x x) eps))))) (neg x)))

simplify446.0ms (3.4%)

Memory

42.8MiB live, 733.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 990×	`lower-fma.f64`
11 990×	`lower-fma.f32`
6 754×	`lower-*.f64`
6 754×	`lower-*.f32`
5 796×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	842	8056
1	2771	7474
0	8255	7113

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 446

Calls

Call 1

Inputs
(* (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))))
(* 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 (/ (+ (* -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)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))
(* 1/2 (/ eps x))
(* 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))))
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -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 (* (sqrt eps) (sqrt -1)))
(+ 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)))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(* 1/2 (/ eps x))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* (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))))
(* 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 (/ (+ (* -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)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))
(* 1/2 (/ eps x))
(* 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))))
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -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 (* (sqrt eps) (sqrt -1)))
(+ 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)))
(* 1/2 (/ eps x))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/2 (/ eps x))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(* 1/2 (/ eps x))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* 1/2 eps)
(* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))
(* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))
(* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))
(* 1/8 (/ (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* 1/8 (/ (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* 1/8 (/ (pow eps 2) (pow x 2)))
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(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))
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(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))
(* 1/2 eps)
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(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))
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1/2
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(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
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(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
1/2
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1/2
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(* 2 x)
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(* -1 (* (sqrt eps) (sqrt -1)))
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(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
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(* -1 eps)
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(- (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* 2 x))
(* -1 (* (sqrt eps) (sqrt -1)))
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(* (sqrt eps) (sqrt -1))
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(* (sqrt eps) (sqrt -1))
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(* x (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))))) 2))
(* x (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 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 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))))))) 2))
(* -1 (/ (+ eps (* -1/2 eps)) x))
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(* -1 (/ (+ eps (+ (* -1/2 eps) (+ (* -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 (/ (+ (* -1 (pow eps 3)) (* -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) (+ (* -1/2 (/ (* 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 (/ (+ (* -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 (/ (pow eps 2) (pow x 2)))))))))) x))
(- (* -1 x) x)
(- (+ (* -1 x) (* 1/2 (/ eps x))) x)
(- (+ (* -1 x) (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) x)
(- (+ (* -1 x) (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) x)
(* (sqrt eps) (sqrt -1))
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(* eps (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) (/ x eps)))
(* eps (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (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)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (/ x eps)))
(* (sqrt eps) (sqrt -1))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)))))
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eps
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(* -1 (pow x 2))
(* (pow x 2) (- (/ eps (pow x 2)) 1))
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(* (pow x 2) (- (/ eps (pow x 2)) 1))
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(* (pow x 2) (- (/ eps (pow x 2)) 1))
(* -1 (pow x 2))
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(- eps (pow x 2))
(- eps (pow x 2))
eps
(* eps (+ 1 (* -1 (/ (pow x 2) eps))))
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(* eps (+ 1 (* -1 (/ (pow x 2) eps))))
eps
(* -1 (* eps (- (/ (pow x 2) eps) 1)))
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(+ (* (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)))))))))
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
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(* -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))))))))
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)))))
(* (sqrt 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))))))
(* -1 (* (sqrt eps) (sqrt -1)))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
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(* -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 (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2))))
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(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (- (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* x (+ (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) (pow (sqrt -1) 3))) (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))))))) (/ 1 (pow (sqrt -1) 2)))))
(* 1/2 (/ eps x))
(/ (+ (* 1/4 (/ (* eps (+ eps (* -1/2 eps))) (pow x 2))) (* 1/2 eps)) x)
(/ (+ (* 1/8 (/ (* eps (pow (+ eps (* -1/2 eps)) 2)) (pow x 4))) (+ (* 1/4 (/ (* eps (+ eps (* -1/2 eps))) (pow x 2))) (+ (* 1/4 (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (pow x 4))) (* 1/2 eps)))) x)
(/ (+ (* 1/8 (/ (* eps (* (+ eps (* -1/2 eps)) (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))))) (pow x 6))) (+ (* 1/8 (/ (* eps (pow (+ eps (* -1/2 eps)) 2)) (pow x 4))) (+ (* 1/4 (/ (* eps (+ eps (* -1/2 eps))) (pow x 2))) (+ (* 1/4 (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (pow x 6))) (+ (* 1/4 (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (pow x 4))) (+ (* 1/2 eps) (* 1/2 (/ (* (+ eps (* -1/2 eps)) (+ (* 1/8 (* eps (pow (+ eps (* -1/2 eps)) 2))) (* 1/4 (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))))))) (pow x 6))))))))) x)
(/ (* eps x) (+ eps (* -1/2 eps)))
(* -1 (* x (+ (* -1 (/ eps (+ eps (* -1/2 eps)))) (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* -1/2 eps)) 2))))))
(* -1 (* x (+ (* -1 (/ eps (+ eps (* -1/2 eps)))) (+ (* -1 (/ (* eps (pow (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))) 2)) (* (pow x 4) (pow (+ eps (* -1/2 eps)) 3)))) (+ (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (* (pow x 4) (pow (+ eps (* -1/2 eps)) 2))) (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* -1/2 eps)) 2))))))))
(* -1 (* x (+ (* -1 (/ eps (+ eps (* -1/2 eps)))) (+ (* -1 (/ (* eps (* (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))))) (* (pow x 6) (pow (+ eps (* -1/2 eps)) 3)))) (+ (* -1 (/ (* eps (pow (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))) 2)) (* (pow x 4) (pow (+ eps (* -1/2 eps)) 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* eps (pow (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2))) 2)) (pow (+ eps (* -1/2 eps)) 3))) (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (pow (+ eps (* -1/2 eps)) 2))) (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (* (pow x 6) (+ eps (* -1/2 eps))))) (+ (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (* (pow x 4) (pow (+ eps (* -1/2 eps)) 2))) (+ (/ (* eps (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 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) (pow (+ eps (* -1/2 eps)) 2))) (/ (* eps (+ (* 1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* 1/2 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* -1/2 eps)) 2)))))))))))
(* -1 (/ eps (- (* -1 x) x)))
(* eps (- (* 1/2 (/ eps (* x (pow (- (* -1 x) x) 2)))) (/ 1 (- (* -1 x) x))))
(* eps (- (* eps (+ (* -1 (* eps (- (* 1/4 (/ 1 (* (pow x 2) (pow (- (* -1 x) x) 3)))) (* 1/8 (/ 1 (* (pow x 3) (pow (- (* -1 x) x) 2))))))) (* 1/2 (/ 1 (* x (pow (- (* -1 x) x) 2)))))) (/ 1 (- (* -1 x) x))))
(* eps (- (* eps (+ (* eps (+ (* -1 (* eps (- (* 1/16 (/ 1 (* (pow x 4) (pow (- (* -1 x) x) 3)))) (+ (* 1/16 (/ 1 (* (pow x 5) (pow (- (* -1 x) x) 2)))) (* 1/2 (/ (- (* 1/4 (/ 1 (* (pow x 2) (pow (- (* -1 x) x) 3)))) (* 1/8 (/ 1 (* (pow x 3) (pow (- (* -1 x) x) 2))))) (* x (- (* -1 x) x)))))))) (* -1 (- (* 1/4 (/ 1 (* (pow x 2) (pow (- (* -1 x) x) 3)))) (* 1/8 (/ 1 (* (pow x 3) (pow (- (* -1 x) x) 2)))))))) (* 1/2 (/ 1 (* x (pow (- (* -1 x) x) 2)))))) (/ 1 (- (* -1 x) x))))
(* -1 (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -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 (pow eps 3)) (/ (pow (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) 2) (pow (sqrt -1) 3)))) (pow eps 2)))) (* -1 (/ (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* (+ (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (pow eps 3)) (/ (pow (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) 2) (pow (sqrt -1) 3)))) (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x)) (sqrt -1)))) (+ (* -1 (/ (* eps (+ (* -1/2 (* (sqrt eps) (/ (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (/ (pow x 4) (sqrt -1)))))) (pow (sqrt -1) 2))) (* -1/2 (/ (* (pow eps 2) (* (pow x 2) (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x))) (pow (sqrt -1) 4))))) (pow eps 3)))) (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ (pow (- (* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) 2) (pow (sqrt -1) 3))))))
(* -1 (* (sqrt eps) (sqrt -1)))
(+ 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)))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(/ eps (pow x 2))
(* (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)))))))))
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)))))))
(* -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))))))))
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)))))
(* (sqrt 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))))))
(* -1 (* (sqrt 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)))))))
x
(+ x (* -1/2 (/ eps x)))
(+ x (* -1/2 (/ eps x)))
(+ x (* -1/2 (/ eps x)))
(* -1/2 (/ eps x))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* -1/2 (/ eps x))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ (+ (* -1/2 eps) (pow x 2)) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* (sqrt (/ 1 eps)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
(/ 1 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)))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 1/2 (/ eps (pow x 2)))) x))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) x))
(* -1 (/ (+ 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)))))) x))
(/ 1 x)
(+ (* 1/2 (/ eps (pow x 3))) (/ 1 x))
(+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(* (sqrt (/ 1 eps)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -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)))) (* (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)))) (+ (* -1/2 (* (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)))))
(* (sqrt (/ 1 eps)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -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)))) (* (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)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* -1 eps)
(- (pow x 2) eps)
(- (pow x 2) eps)
(- (pow x 2) eps)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(pow x 2)
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(* -1 eps)
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))

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

rewrite559.0ms (4.3%)

Memory

-59.7MiB live, 593.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 558×	`lower-*.f32`
3 552×	`lower-*.f64`
3 242×	`lower-/.f32`
3 228×	`lower-/.f64`
2 958×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	261
0	66	251
1	277	214
2	2298	208
0	8944	205

Stop Event

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

Counts

20 → 1 087

Calls

Call 1

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

Outputs
#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 eps (*.f64 x #s(literal 2 binary64))))
(/.f64 eps (*.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 eps) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 eps #s(literal 1 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) eps) (.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 eps #s(literal 1 binary64))) (neg.f64 (.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) eps)) (neg.f64 (.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 x (*.f64 eps #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) eps))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(.f64 (.f64 eps #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))) x))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (neg.f64 x))
(pow.f64 (/.f64 x (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 eps x))
(.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64))) x))
(.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64)) x) eps)
(+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (.f64 eps #s(literal 1/2 binary64)))
(+.f64 (.f64 eps #s(literal 1/2 binary64)) (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)))
(fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (*.f64 x x)))
(fma.f64 eps (/.f64 (.f64 eps #s(literal 1/8 binary64)) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 eps (.f64 x x)) eps) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (/.f64 eps (.f64 x x)) (.f64 eps #s(literal 1/8 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) (.f64 x x)) eps (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps #s(literal 1/8 binary64)) (/.f64 eps (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) (*.f64 eps #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/512 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x))) (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps #s(literal 1/2 binary64)))) (-.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (.f64 eps #s(literal 1/2 binary64))))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/16 binary64)))))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/64 binary64) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/8 binary64)) eps) (fma.f64 #s(literal 1/64 binary64) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/16 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x))) #s(literal -1/4 binary64)) eps) (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/512 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal 1/8 binary64) (.f64 eps (.f64 eps eps))))) (neg.f64 (fma.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x))) (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (/.f64 (.f64 eps (.f64 eps #s(literal 1/8 binary64))) (.f64 x x)) (.f64 eps #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/16 binary64))))))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps))))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 eps eps)))))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x eps))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (neg.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps))))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)) (neg.f64 (fma.f64 x x eps))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 0 binary64)))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 eps eps) (.f64 (.f64 x x) (neg.f64 eps))))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 eps eps))))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 eps eps) (.f64 (.f64 x x) (neg.f64 eps))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (-.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) #s(literal 0 binary64)))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (-.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 0 binary64)))) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (neg.f64 eps))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)))) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (-.f64 (*.f64 x x) (neg.f64 eps))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps)))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps))) (.f64 eps (.f64 eps eps)))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x eps)) (.f64 (fma.f64 x x eps) (.f64 eps eps))) (*.f64 (fma.f64 x x eps) (fma.f64 x x eps)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 1 binary64))) (-.f64 (*.f64 x x) eps))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 eps eps))))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)))) (neg.f64 (fma.f64 x x eps)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)))) (neg.f64 (neg.f64 (fma.f64 x x eps))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 0 binary64))) (-.f64 (.f64 x x) eps))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) eps) (.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 (neg.f64 (-.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) #s(literal 0 binary64))) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (.f64 eps eps)))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 eps eps) (.f64 (neg.f64 (*.f64 x x)) eps)))))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64))
(pow.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 eps eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x eps) (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 x x) eps) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (.f64 x x) eps) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) eps))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 x x) eps))
(.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))))
(.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) eps)))
(.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) eps)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (*.f64 eps (fma.f64 x x eps)))))
(.f64 (.f64 (fma.f64 x x eps) (-.f64 (*.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (*.f64 x x) eps))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 2 binary64)) (-.f64 (.f64 x x) eps))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (pow.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (*.f64 eps (fma.f64 x x eps)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x eps) (-.f64 (*.f64 x x) eps)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 x x) eps))

eval514.0ms (3.9%)

Memory: 20.4MiB live, 401.1MiB allocated
Compiler: Compiled 60 753 to 5 511 computations (90.9% saved)

prune555.0ms (4.2%)

Memory

1.3MiB live, 401.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 775	1	1 776
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	1 776	10	1 786

Accuracy

100.0%

Counts

1 786 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (fma.f64 (neg.f64 x) x eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 x)))
✓	99.5%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
✓	43.5%	(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x))
✓	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.2%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	6.7%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
✓	3.7%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
✓	40.8%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x))
✓	42.9%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
✓	42.7%	#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 600 to 157 computations (73.8% saved)

regimes44.0ms (0.3%)

Memory

-4.7MiB live, 34.6MiB allocated

Counts

23 → 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 (*.f64 eps #s(literal 1/2 binary64)) x))
#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x))
(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (.f64 x x)) #s(literal 1/2 binary64))) x))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x))
#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (*.f64 eps #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (fma.f64 (neg.f64 x) x eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 x)))
(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 x)))
(fma.f64 x (/.f64 x (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fma.f64 x (/.f64 x (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))

Outputs

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

Calls

3 calls:

29.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
7.0ms	eps
7.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes34.0ms (0.3%)

Memory

-7.8MiB live, 30.1MiB allocated

Counts

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

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

Calls

3 calls:

23.0ms	eps
5.0ms	x
5.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB 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 (*.f64 eps #s(literal 1/2 binary64)) x))
#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x)) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
92.3%	2	`x`
82.1%	2	`eps`
98.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes64.0ms (0.5%)

Memory

-28.2MiB live, 10.9MiB allocated

Counts

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

Calls

1 calls:

63.0ms

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

Results

Accuracy	Segments	Branch
97.9%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
96.8%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory

18.4MiB live, 18.4MiB 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:

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

Results

Accuracy	Segments	Branch
59.2%	1	`eps`
59.2%	1	`x`
59.2%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

-52.6MiB live, 7.0MiB 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:

5.0ms	eps
1.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	x

Results

Accuracy	Segments	Branch
3.7%	1	`x`
3.7%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
3.7%	1	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.567681197993483e-154	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.567681197993483e-154	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.567681197993483e-154	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify11.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative_binary64`
36×	`sub-neg_binary64`
26×	`*-commutative_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	190
1	67	190
2	92	190
3	118	190
4	134	190
5	142	190
6	146	190
7	147	190

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (fma.f64 (neg.f64 x) x eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 x)))
(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) 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 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (fma.f64 (neg.f64 x) x eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 x)))
(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (fma.f64 (fma.f64 (neg.f64 x) x eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 x)))
(/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
(/.f64 (neg.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(approx (- (- (* x x) eps) (* x x)) (neg.f64 eps)) (-.f64 (neg.f64 x) #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))

soundness868.0ms (6.6%)

Memory

14.5MiB live, 889.1MiB allocated

Rules

11 222×	`lower-fma.f64`
11 222×	`lower-fma.f32`
9 488×	`lower-fma.f64`
9 488×	`lower-fma.f32`
6 918×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	261
0	66	251
1	277	214
2	2298	208
0	8944	205
0	444	6632
1	1385	6231
2	4786	6119
0	8300	5787
0	35	221
0	58	221
1	210	213
2	1586	193
0	8376	191
0	1715	17822
1	5647	17292
0	8380	16447
0	6	22
0	10	22
1	42	22
2	310	22
3	3602	22
0	8549	22
0	257	1257
1	784	1238
2	2594	1200
3	6944	1197
0	8091	1129

Stop Event

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

Compiler

Compiled 368 to 148 computations (59.8% saved)

preprocess52.0ms (0.4%)

Memory: 13.7MiB live, 132.6MiB allocated
Compiler: Compiled 298 to 90 computations (69.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	46
1	43	44
2	118	41
3	278	41
4	488	41
5	557	41
6	568	41
0	6	8
0	10	8
1	14	8
2	22	8
3	34	8
4	52	8
5	94	8
6	161	8
7	206	8
8	289	8
9	319	8
10	335	8
0	335	8

Iter	Nodes	Cost
0	6	24
0	10	24
1	14	24
2	22	24
3	34	24
4	52	24
5	94	24
6	161	24
7	206	24
8	289	24
9	319	24
10	335	24
0	335	24

Iter	Nodes	Cost
0	18	46
1	43	44
2	118	41
3	278	41
4	488	41
5	557	41
6	568	41
0	6	8
0	10	8
1	14	8
2	22	8
3	34	8
4	52	8
5	94	8
6	161	8
7	206	8
8	289	8
9	319	8
10	335	8
0	335	8

Iter	Nodes	Cost
0	6	24
0	10	24
1	14	24
2	22	24
3	34	24
4	52	24
5	94	24
6	161	24
7	206	24
8	289	24
9	319	24
10	335	24
0	335	24

analyze14.0ms (0.1%)

sample1.4s (10.8%)

preprocess32.0ms (0.2%)

explain98.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize29.0ms (0.2%)

series99.0ms (0.8%)

simplify399.0ms (3%)

rewrite312.0ms (2.4%)

eval43.0ms (0.3%)

prune50.0ms (0.4%)

simplify286.0ms (2.2%)

localize466.0ms (3.6%)

series89.0ms (0.7%)

simplify536.0ms (4.1%)

rewrite824.0ms (6.3%)

eval1.2s (9%)

prune603.0ms (4.6%)

simplify250.0ms (1.9%)

localize1.7s (12.8%)

series23.0ms (0.2%)

simplify380.0ms (2.9%)

rewrite445.0ms (3.4%)

eval130.0ms (1%)

prune100.0ms (0.8%)

simplify269.0ms (2.1%)

localize121.0ms (0.9%)

series38.0ms (0.3%)

simplify446.0ms (3.4%)

rewrite559.0ms (4.3%)

eval514.0ms (3.9%)

prune555.0ms (4.2%)

regimes44.0ms (0.3%)

regimes34.0ms (0.3%)

regimes11.0ms (0.1%)

regimes64.0ms (0.5%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness868.0ms (6.6%)

preprocess52.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	46
1	43	44
2	118	41
3	278	41
4	488	41
5	557	41
6	568	41
0	6	8
0	10	8
1	14	8
2	22	8
3	34	8
4	52	8
5	94	8
6	161	8
7	206	8
8	289	8
9	319	8
10	335	8
0	335	8

Iter	Nodes	Cost
0	6	24
0	10	24
1	14	24
2	22	24
3	34	24
4	52	24
5	94	24
6	161	24
7	206	24
8	289	24
9	319	24
10	335	24
0	335	24