Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.6s (15.1%)

Memory

13.8MiB live, 1 567.3MiB allocated

Samples

497.0ms	4 912×	0	valid
453.0ms	2 739×	1	valid
109.0ms	173×	0	invalid
105.0ms	605×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 822.0ms

ival-sub: 248.0ms (30.2% of total)

ival-mult: 187.0ms (22.8% of total)

ival-sqrt: 172.0ms (20.9% of total)

ival-<=: 88.0ms (10.7% of total)

adjust: 84.0ms (10.2% of total)

ival-and: 23.0ms (2.8% of total)

exact: 17.0ms (2.1% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain103.0ms (1%)

Memory

-27.0MiB live, 157.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`	cancellation	111	2

Confusion

	Predicted +	Predicted -
+	111	1
-	0	144

Precision

1.0

Recall

0.9910714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	111	1	0
-	0	1	143

Precision?

0.9911504424778761

Recall?

1.0

Freqs

test

number	freq
0	145
1	111

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

16.0ms	160×	1	valid
16.0ms	306×	0	valid
7.0ms	46×	2	valid

Compiler

Compiled 60 to 22 computations (63.3% 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 (26.5% of total)

ival-mult: 5.0ms (22.1% of total)

adjust: 4.0ms (17.7% of total)

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

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

preprocess29.0ms (0.3%)

Memory

-5.6MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

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)))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify9.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	24
0	10	24
1	14	24
2	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

localize70.0ms (0.7%)

Memory

-9.7MiB live, 31.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.015625	(-.f64 (*.f64 x x) eps)
accuracy	24.933118082512635	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

10.0ms	80×	1	valid
8.0ms	153×	0	valid
3.0ms	23×	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: 5.0ms (37.8% of total)

ival-sub: 4.0ms (30.2% of total)

ival-mult: 3.0ms (22.7% of total)

adjust: 2.0ms (15.1% of total)

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

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

series9.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ eps x)) (taylor 0 eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (taylor 0 eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (taylor 0 eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (/ eps x))) (taylor 0 eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) (taylor 0 eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) (taylor 0 eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 eps) (pow x 2)) (taylor 0 eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 eps) (pow x 2)) (taylor 0 eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 eps) (pow x 2)) (taylor 0 eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt eps) (sqrt -1))) (taylor inf eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) (taylor inf eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) (taylor inf eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt eps) (sqrt -1)) (taylor inf eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) (taylor inf eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (pow x 2) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (pow x 2) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ (pow x 2) eps) 1)) (taylor inf eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (sqrt eps) (sqrt -1)) (taylor -inf eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) (taylor -inf eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) (taylor -inf eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf eps) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt eps) (sqrt -1))) (taylor -inf eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) (taylor -inf eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf eps) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) (taylor -inf eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) (taylor -inf eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) (taylor -inf eps) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt eps) (sqrt -1))) (taylor 0 x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (- x (* (sqrt eps) (sqrt -1))) (taylor 0 x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) (taylor 0 x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt eps) (sqrt -1)) (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) eps) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) eps) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) eps) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ eps x)) (taylor inf x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) (taylor inf x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) (taylor inf x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(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) (taylor inf x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 (/ eps (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) (taylor inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) (taylor -inf x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) (taylor -inf x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf x) (#s(alt (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify169.0ms (1.6%)

Memory

-0.7MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1253
1	784	1238
2	2588	1200
3	6920	1197
0	8069	1129

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

rewrite160.0ms (1.5%)

Memory

0.3MiB live, 189.3MiB allocated

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
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eval58.0ms (0.5%)

Memory: 15.6MiB live, 88.8MiB allocated
Compiler: Compiled 7 073 to 1 088 computations (84.6% saved)

prune72.0ms (0.7%)

Memory

-5.2MiB live, 88.3MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	286	20	306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	20	307

Accuracy

99.4%

Counts

307 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) x)
▶	60.2%	(fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
	44.7%	(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))))))
	60.4%	(fma.f64 x (/.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
▶	60.5%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
	60.5%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
	44.8%	(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
	60.5%	(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
	60.4%	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶	60.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64)))))
▶	61.0%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
	55.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	7.4%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
▶	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	60.5%	(.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
	60.9%	(.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))))
	3.0%	(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -1 binary64))) #s(literal -1 binary64)))
	26.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) eps) (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps x)) (/.f64 eps x) (.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))
	39.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
	45.1%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 784 to 398 computations (49.2% saved)

simplify186.0ms (1.8%)

Memory

13.2MiB live, 166.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	128	(neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
cost-diff	9024	(fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
cost-diff	0	(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64))))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 x x eps)
cost-diff	0	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
cost-diff	896	(-.f64 (fma.f64 x x eps) (*.f64 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	(neg.f64 eps)
cost-diff	0	(fma.f64 x x (neg.f64 eps))
cost-diff	0	(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
cost-diff	0	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	241
0	51	222
1	93	222
2	161	207
3	353	207
4	820	207
5	1979	207
6	3992	207
7	4958	207
8	5214	207
9	5307	207
10	5355	207
11	7256	207
0	8025	207

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (1.1%)

Memory

0.2MiB live, 275.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy	0.13671875	(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))
accuracy	0.37890625	(/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
accuracy	25.085641891837128	(fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
accuracy	0.109375	(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64))
accuracy	0.1171875	(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64)))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64))))
accuracy	24.933118082512635	(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64)))))
accuracy	0.015625	(-.f64 (*.f64 x x) eps)
accuracy	0.02734375	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy	0.33984375	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
accuracy	24.596742564573706	(-.f64 (fma.f64 x x eps) (*.f64 x x))
accuracy	0	(neg.f64 x)
accuracy	24.933118082512635	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
accuracy	62.37398150682829	#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
accuracy	0	(fma.f64 x x (neg.f64 eps))
accuracy	0	(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
accuracy	0	(neg.f64 eps)
accuracy	24.933118082512635	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))

Samples

38.0ms	81×	1	valid
36.0ms	152×	0	valid
19.0ms	23×	2	valid

Compiler

Compiled 244 to 28 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

adjust: 11.0ms (15.4% of total)

ival-div: 11.0ms (15.4% of total)

ival-neg: 11.0ms (15.4% of total)

ival-pow: 10.0ms (14% of total)

ival-sub: 8.0ms (11.2% of total)

ival-sqrt: 8.0ms (11.2% of total)

ival-add: 7.0ms (9.8% of total)

ival-mult: 4.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series365.0ms (3.4%)

Memory

13.4MiB live, 85.3MiB allocated

Counts

21 → 468

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ eps x)) (taylor 0 eps) (#s(alt (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (patch (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (taylor 0 eps) (#s(alt (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (patch (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (taylor 0 eps) (#s(alt (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (patch (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 eps) (#s(alt (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (patch (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (patch (sqrt.f64 (fma.f64 x x (neg.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (/ eps x))) (taylor 0 eps) (#s(alt (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (patch (sqrt.f64 (fma.f64 x x (neg.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) (taylor 0 eps) (#s(alt (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (patch (sqrt.f64 (fma.f64 x x (neg.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) (taylor 0 eps) (#s(alt (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (patch (sqrt.f64 (fma.f64 x x (neg.f64 eps))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 eps) (#s(alt (fma.f64 x x (neg.f64 eps)) (patch (fma.f64 x x (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 eps) (pow x 2)) (taylor 0 eps) (#s(alt (fma.f64 x x (neg.f64 eps)) (patch (fma.f64 x x (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 eps) (pow x 2)) (taylor 0 eps) (#s(alt (fma.f64 x x (neg.f64 eps)) (patch (fma.f64 x x (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 eps) (pow x 2)) (taylor 0 eps) (#s(alt (fma.f64 x x (neg.f64 eps)) (patch (fma.f64 x x (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor 0 eps) (#s(alt (neg.f64 eps) (patch (neg.f64 eps) #<representation binary64>) () ())) ())
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#s(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)))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64))) (patch (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* 1/2 (/ eps (pow x 2)))) x)) (taylor -inf x) (#s(alt (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64))) (patch (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) x)) (taylor -inf x) (#s(alt (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64))) (patch (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64))) (patch (sqrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ eps (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow eps 2) (pow x 4))) (* -1 (/ eps (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow eps 3) (pow x 6))) (+ (* -1 (/ eps (pow x 2))) (* -1 (/ (pow eps 2) (pow x 4))))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (.f64 x x) eps) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (patch (fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (patch (fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (patch (fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4))))))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (patch (fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (patch (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 2 (/ 1 eps)) (* 5/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (patch (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))) (+ (* -1/2 (/ eps (pow x 4))) (* 5/2 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (patch (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 2) (pow x 6)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* -1/4 (/ (* eps (+ (* -1/4 eps) (* 1/8 eps))) (pow x 6))) (+ (* 1/16 (/ (pow eps 2) (pow x 6))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps))))))) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 6))) (* 5/2 (/ 1 (pow x 2))))))))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (patch (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x eps)) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps))))))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ eps x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (patch (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (patch (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (patch (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (patch (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 5/8 eps)) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 5/8 eps)))) (* 5/16 (pow eps 2)))) (pow x 6))) (* 5/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 5/8 (/ eps (pow x 4))) (* 2 (/ 1 eps))))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
305.0ms	x	@	-inf	((- x (sqrt (+ (* x x) (neg eps)))) (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (* x x) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (sqrt (pow (- (* x x) eps) -1)) (pow (- (* x x) eps) -1) (+ (* (* x x) (pow (+ (sqrt (- (* x x) eps)) x) -1)) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (pow (+ (sqrt (- (* x x) eps)) x) -1) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))
26.0ms	eps	@	inf	((- x (sqrt (+ (* x x) (neg eps)))) (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (* x x) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (sqrt (pow (- (* x x) eps) -1)) (pow (- (* x x) eps) -1) (+ (* (* x x) (pow (+ (sqrt (- (* x x) eps)) x) -1)) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (pow (+ (sqrt (- (* x x) eps)) x) -1) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))
6.0ms	eps	@	-inf	((- x (sqrt (+ (* x x) (neg eps)))) (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (* x x) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (sqrt (pow (- (* x x) eps) -1)) (pow (- (* x x) eps) -1) (+ (* (* x x) (pow (+ (sqrt (- (* x x) eps)) x) -1)) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (pow (+ (sqrt (- (* x x) eps)) x) -1) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))
6.0ms	x	@	inf	((- x (sqrt (+ (* x x) (neg eps)))) (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (* x x) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (sqrt (pow (- (* x x) eps) -1)) (pow (- (* x x) eps) -1) (+ (* (* x x) (pow (+ (sqrt (- (* x x) eps)) x) -1)) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (pow (+ (sqrt (- (* x x) eps)) x) -1) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))
4.0ms	x	@	0	((- x (sqrt (+ (* x x) (neg eps)))) (sqrt (+ (* x x) (neg eps))) (+ (* x x) (neg eps)) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (* x x) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (sqrt (pow (- (* x x) eps) -1)) (pow (- (* x x) eps) -1) (+ (* (* x x) (pow (+ (sqrt (- (* x x) eps)) x) -1)) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (neg (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (pow (+ (sqrt (- (* x x) eps)) x) -1) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))

simplify317.0ms (3%)

Memory

-39.2MiB live, 278.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1039	9038
1	3369	8390
0	8286	7982

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 435

Calls

Call 1

Inputs
(* 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))))
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)))))
(pow x 2)
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* 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))))
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)))))
eps
eps
eps
eps
(* 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))))
(pow x 2)
(+ eps (pow x 2))
(+ eps (pow x 2))
(+ eps (pow x 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))))
x
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
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(/ 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))
(/ 1 (pow x 2))
(+ (/ 1 (pow x 2)) (/ eps (pow x 4)))
(+ (* eps (+ (/ 1 (pow x 4)) (/ eps (pow x 6)))) (/ 1 (pow x 2)))
(+ (* eps (+ (* eps (+ (/ 1 (pow x 6)) (/ eps (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 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))))
(* -1/2 x)
(- (* 3/8 (/ eps x)) (* 1/2 x))
(- (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x)))) (* 1/2 x))
(- (* eps (+ (* eps (+ (* 3/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 3/8 (/ 1 x)))) (* 1/2 x))
(/ 1/2 x)
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
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(+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))
(* 2 x)
(+ (* -1/2 (/ eps x)) (* 2 x))
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(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(pow x 2)
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(* 1/2 x)
(+ (* -3/8 (/ eps x)) (* 1/2 x))
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(* -1 (* (sqrt eps) (sqrt -1)))
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(* (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 eps)
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ (pow x 2) eps) 1))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 (* (sqrt eps) (sqrt -1)))
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(* 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))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
eps
eps
eps
eps
(* (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)))))
eps
(* eps (+ 1 (/ (pow x 2) eps)))
(* eps (+ 1 (/ (pow x 2) eps)))
(* eps (+ 1 (/ (pow x 2) eps)))
(* -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))
(* 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))))))
(* (sqrt (/ 1 eps)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))
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(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(/ -1 eps)
(/ (- (* -1 (/ (pow x 2) eps)) 1) eps)
(/ (- (* -1 (/ (pow x 4) (pow eps 2))) (+ 1 (/ (pow x 2) eps))) eps)
(/ (- (* -1 (/ (pow x 6) (pow eps 3))) (+ 1 (+ (/ (pow x 2) eps) (/ (pow x 4) (pow eps 2))))) eps)
(* (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)))))
(* (sqrt eps) (/ 1 (sqrt -1)))
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(- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ (pow x 3) (* eps (pow (sqrt -1) 2)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (* 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 x 3) (* eps (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))) (/ x (pow (sqrt -1) 2))))))))
(* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))
(/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2))))) eps)
(* (sqrt eps) (sqrt -1))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* -1 eps)
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(* eps (- (/ (pow x 2) eps) 1))
(* -1 (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (pow eps 2))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (* -1 (/ x (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* eps (* (pow x 2) (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) (pow eps 3))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))))
(* (sqrt eps) (sqrt -1))
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(* -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 eps) (sqrt -1)))
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(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* (sqrt eps) (sqrt -1))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -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)))))))
eps
eps
eps
eps
(* -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
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(* -1 (* eps (- (* -1 (/ (pow x 2) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (pow x 2) eps)) 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 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)))))))
(* (sqrt (/ 1 eps)) (sqrt -1))
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(+ (* -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)
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 4) eps)) (pow x 2)) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 6) eps) (* -1 (pow x 4))) eps)) (pow x 2)) eps))) eps))
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (- (* -1 (* eps x)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (- (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* eps (pow x 3))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (- (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* eps (pow x 3))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (pow eps 2) (pow x 3))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1))))))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))) eps))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))
(* -1 (/ (+ (* -1 x) (* (sqrt eps) (sqrt -1))) eps))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1))) eps))
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(/ 1 (pow x 2))
(/ (+ 1 (/ eps (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ (pow eps 2) (pow x 4))) (* -1 (/ eps (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (pow eps 3) (pow x 6))) (+ (* -1 (/ eps (pow x 2))) (* -1 (/ (pow eps 2) (pow x 4))))) (pow x 2))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -2 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (- (* 2 (/ 1 eps)) (* 5/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))) (+ (* -1/2 (/ eps (pow x 4))) (* 5/2 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 3) (- (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 2) (pow x 6)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* -1/4 (/ (* eps (+ (* -1/4 eps) (* 1/8 eps))) (pow x 6))) (+ (* 1/16 (/ (pow eps 2) (pow x 6))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps))))))) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 6))) (* 5/2 (/ 1 (pow x 2)))))))))
(* 2 (/ x eps))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps)))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps)))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))))))
(* 1/2 (/ 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))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(pow x 2)
(* (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)))))
(* 2 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 5/8 eps)) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 5/8 eps)))) (* 5/16 (pow eps 2)))) (pow x 6))) (* 5/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 5/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))))))

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

rewrite244.0ms (2.3%)

Memory

-4.4MiB live, 270.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	193
0	51	163
1	222	163
2	1786	163
0	8551	163

Stop Event

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

Counts

21 → 1 585

Calls

Call 1

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

Outputs
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eval825.0ms (7.8%)

Memory: 9.8MiB live, 982.3MiB allocated
Compiler: Compiled 102 468 to 5 841 computations (94.3% saved)

prune68.0ms (0.6%)

Memory

-9.6MiB live, 192.5MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	2 651	13	2 664
Fresh	13	2	15
Picked	2	3	5
Done	0	0	0
Total	2 666	18	2 684

Accuracy

100.0%

Counts

2 684 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.4%	(/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x eps)) (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))
▶	60.1%	(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
✓	60.5%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
	7.7%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) #s(approx (+ (sqrt (- ( x x) eps)) x) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
	7.4%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) #s(approx (+ (sqrt (- ( x x) eps)) x) (*.f64 #s(literal 2 binary64) x)))
	19.1%	(/.f64 (-.f64 #s(approx (+ (* x x) eps) (.f64 (+.f64 (/.f64 eps (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
▶	99.4%	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
	60.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (fma.f64 (neg.f64 x) x (fma.f64 x x eps))))
	55.6%	(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)))))
✓	61.0%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
▶	55.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	7.4%	(-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
✓	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	99.5%	(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (*.f64 x x))) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)))
	59.0%	(.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x eps)) (-.f64 (fma.f64 x x (neg.f64 eps)) (.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))
	40.6%	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps))
	45.3%	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
	45.1%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 486 to 308 computations (36.6% saved)

simplify314.0ms (3%)

Memory

-17.0MiB live, 278.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
cost-diff	192	(+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))
cost-diff	832	(-.f64 (.f64 x x) (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 eps (*.f64 x x))
cost-diff	0	(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
cost-diff	896	(fma.f64 x x (-.f64 eps (*.f64 x x)))
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 (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))
cost-diff	0	(-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) 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 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (*.f64 x x))
cost-diff	192	(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (*.f64 x x))) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)))
cost-diff	3072	(/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (*.f64 x x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	280
0	61	224
1	106	216
2	143	216
3	296	216
4	753	216
5	2274	216
6	6602	216
0	8192	216

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (1.2%)

Memory

24.1MiB live, 142.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01171875	(-.f64 (*.f64 x x) eps)
accuracy	0.02734375	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy	0.33984375	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
accuracy	0.01171875	(-.f64 eps (*.f64 x x))
accuracy	0.02734375	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy	0.33984375	(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
accuracy	0.7299964243473543	(fma.f64 x x (-.f64 eps (*.f64 x x)))
accuracy	0	(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
accuracy	0	(/.f64 eps x)
accuracy	0.7424975923406834	(-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
accuracy	34.267282236123044	#s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))
accuracy	0	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
accuracy	0	(neg.f64 eps)
accuracy	0.7424975923406834	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
accuracy	2.6304166844485386	#s(approx (- (* x x) eps) (neg.f64 eps))
accuracy	0	(neg.f64 eps)
accuracy	0.02734375	(+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)
accuracy	0.33984375	(/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))
accuracy	5.231307718770742	(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (*.f64 x x))

Samples

57.0ms	153×	0	valid
31.0ms	103×	1	exit

Compiler

Compiled 270 to 34 computations (87.4% saved)

Precisions

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

ival-div: 14.0ms (28.6% of total)

adjust: 8.0ms (16.4% of total)

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

ival-sub: 6.0ms (12.3% of total)

ival-sqrt: 5.0ms (10.2% of total)

ival-mult: 4.0ms (8.2% of total)

ival-pow: 3.0ms (6.1% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory

-6.1MiB live, 66.3MiB allocated

Counts

23 → 516

Calls

Call 1

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

Outputs
#s(alt 0 (taylor 0 eps) (#s(alt (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (.f64 x x))) (patch (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 eps) (#s(alt (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (.f64 x x))) (patch (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 eps) (#s(alt (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (.f64 x x))) (patch (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 eps) (#s(alt (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (.f64 x x))) (patch (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) eps) (neg.f64 eps)) (patch #s(approx (- (* x x) eps) (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))) (patch (-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))) (patch (-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))) (patch (-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))) (patch (-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) (patch #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) (patch #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) (patch #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) (patch #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt (/ eps x) (taylor -inf x) (#s(alt (/.f64 eps x) (patch (/.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (/ eps x) (taylor -inf x) (#s(alt (/.f64 eps x) (patch (/.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (/ eps x) (taylor -inf x) (#s(alt (/.f64 eps x) (patch (/.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (/ eps x) (taylor -inf x) (#s(alt (/.f64 eps x) (patch (/.f64 eps x) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (fma.f64 x x (-.f64 eps (.f64 x x))) (patch (fma.f64 x x (-.f64 eps (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (fma.f64 x x (-.f64 eps (.f64 x x))) (patch (fma.f64 x x (-.f64 eps (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (fma.f64 x x (-.f64 eps (.f64 x x))) (patch (fma.f64 x x (-.f64 eps (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (fma.f64 x x (-.f64 eps (.f64 x x))) (patch (fma.f64 x x (-.f64 eps (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4))))))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 eps (.f64 x x)) (patch (-.f64 eps (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ eps (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 eps (.f64 x x)) (patch (-.f64 eps (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ eps (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 eps (.f64 x x)) (patch (-.f64 eps (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ eps (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 eps (.f64 x x)) (patch (-.f64 eps (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 x x)) (patch (-.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 x x)) (patch (-.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 x x)) (patch (-.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 x x)) (patch (-.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (patch (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (patch (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (patch (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (patch (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) (taylor -inf x) (#s(alt (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4))))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (patch (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) (patch (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) (taylor -inf x) (#s(alt (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) (patch (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) (taylor -inf x) (#s(alt (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) (patch (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4))))))))) (taylor -inf x) (#s(alt (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) (patch (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ eps x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (patch (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (patch (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (patch (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (patch (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) eps)) (patch (sqrt.f64 (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	((/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (+ (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x))) (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x)) (+ (sqrt (+ (* x x) (neg eps))) x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (+ (* -1/2 (/ eps x)) x) (/ eps x) (+ (* x x) (- eps (* x x))) (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (- eps (* x x)) (* x x) (- (* x x) (* x x)) (+ eps (- (* x x) (* x x))) (/ (+ eps (- (* x x) (* x x))) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)))
3.0ms	eps	@	0	((/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (+ (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x))) (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x)) (+ (sqrt (+ (* x x) (neg eps))) x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (+ (* -1/2 (/ eps x)) x) (/ eps x) (+ (* x x) (- eps (* x x))) (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (- eps (* x x)) (* x x) (- (* x x) (* x x)) (+ eps (- (* x x) (* x x))) (/ (+ eps (- (* x x) (* x x))) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)))
2.0ms	eps	@	inf	((/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (+ (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x))) (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x)) (+ (sqrt (+ (* x x) (neg eps))) x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (+ (* -1/2 (/ eps x)) x) (/ eps x) (+ (* x x) (- eps (* x x))) (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (- eps (* x x)) (* x x) (- (* x x) (* x x)) (+ eps (- (* x x) (* x x))) (/ (+ eps (- (* x x) (* x x))) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)))
2.0ms	eps	@	-inf	((/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (+ (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x))) (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x)) (+ (sqrt (+ (* x x) (neg eps))) x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (+ (* -1/2 (/ eps x)) x) (/ eps x) (+ (* x x) (- eps (* x x))) (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (- eps (* x x)) (* x x) (- (* x x) (* x x)) (+ eps (- (* x x) (* x x))) (/ (+ eps (- (* x x) (* x x))) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)))
2.0ms	x	@	-inf	((/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (+ (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x))) (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x)) (+ (sqrt (+ (* x x) (neg eps))) x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ 1 (sqrt (pow (- (* x x) eps) -1)))) (/ 1 (sqrt (pow (- (* x x) eps) -1))) (+ (* -1/2 (/ eps x)) x) (/ eps x) (+ (* x x) (- eps (* x x))) (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (- eps (* x x)) (* x x) (- (* x x) (* x x)) (+ eps (- (* x x) (* x x))) (/ (+ eps (- (* x x) (* x x))) (+ (sqrt (- (* x x) eps)) x)) (/ eps (+ (sqrt (+ (* x x) (neg eps))) x)) (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps) (sqrt (- (* x x) eps)))

simplify246.0ms (2.3%)

Memory

18.5MiB live, 257.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	538	7449
1	1692	7034
2	5884	6906
0	8357	6504

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 456

Calls

Call 1

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

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

rewrite298.0ms (2.8%)

Memory

-21.7MiB live, 237.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	230
0	61	174
1	302	160
2	2075	132
0	8947	132

Stop Event

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

Counts

23 → 1 859

Calls

Call 1

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

Outputs
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eval924.0ms (8.7%)

Memory: 13.9MiB live, 551.2MiB allocated
Compiler: Compiled 88 978 to 6 532 computations (92.7% saved)

prune531.0ms (5%)

Memory

-1.0MiB live, 198.0MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	3 138	8	3 146
Fresh	4	6	10
Picked	3	2	5
Done	1	2	3
Total	3 146	18	3 164

Accuracy

100.0%

Counts

3 164 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.4%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) #s(approx (+ (sqrt (- ( x x) eps)) x) (*.f64 #s(literal 2 binary64) x)))
	19.1%	(/.f64 (-.f64 #s(approx (+ (* x x) eps) (.f64 (+.f64 (/.f64 eps (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
▶	99.4%	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x))
	46.5%	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #s(approx (+ (sqrt (- (* x x) eps)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (*.f64 #s(literal 2 binary64) x))))
	35.8%	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #s(approx (+ (sqrt (- (* x x) eps)) x) (.f64 (fma.f64 (.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64))) x)))
	99.4%	(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
	60.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (fma.f64 (neg.f64 x) x (fma.f64 x x eps))))
▶	4.3%	(-.f64 (sqrt.f64 (fma.f64 x x eps)) x)
▶	55.6%	(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)))))
✓	61.0%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	55.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	1.3%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) eps)))
✓	7.4%	(-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
✓	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	99.5%	(+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)))
	59.0%	(.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x eps)) (-.f64 (fma.f64 x x (neg.f64 eps)) (.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))
	45.3%	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
	45.1%	#s(approx (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 450 to 302 computations (32.9% saved)

simplify1.5s (14.1%)

Memory

-4.4MiB live, 312.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x))
cost-diff	192	(+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))
cost-diff	832	(-.f64 (.f64 x x) (.f64 x x))
cost-diff	896	(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
cost-diff	0	#s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))
cost-diff	0	(sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)))))
cost-diff	0	(fma.f64 x x eps)
cost-diff	0	(sqrt.f64 (fma.f64 x x eps))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 x x eps)) x)
cost-diff	0	#s(approx (- (* x x) eps) eps)
cost-diff	0	(sqrt.f64 #s(approx (- (* x x) eps) eps))
cost-diff	0	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) eps)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)
cost-diff	0	(/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))
cost-diff	0	#s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64))
cost-diff	0	(+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	294
0	68	245
1	107	243
2	151	243
3	310	243
4	976	231
5	4377	231
0	8316	231

Stop Event

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

Calls

Call 1

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

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

localize243.0ms (2.3%)

Memory

-6.3MiB live, 288.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x))
accuracy	0.01171875	(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
accuracy	0.015625	(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
accuracy	0.0234375	(+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))))
accuracy	0.00390625	(sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)))
accuracy	0.7307788423406834	(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)))))
accuracy	2.282018156037556	#s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))
accuracy	0	(fma.f64 x x eps)
accuracy	0.00390625	(sqrt.f64 (fma.f64 x x eps))
accuracy	0.7249704064985357	(-.f64 (sqrt.f64 (fma.f64 x x eps)) x)
accuracy	0	(sqrt.f64 #s(approx (- (* x x) eps) eps))
accuracy	0.7307788423406834	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) eps)))
accuracy	2.331439442885041	#s(approx (- (* x x) eps) eps)
accuracy	0	(neg.f64 eps)
accuracy	0	#s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64))
accuracy	0.01171875	(/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))
accuracy	0.0234375	(+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)

Samples

95.0ms	143×	0	invalid
87.0ms	103×	1	exit
2.0ms	10×	0	valid

Compiler

Compiled 246 to 35 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

adjust: 62.0ms (37.5% of total)

ival-add: 41.0ms (24.8% of total)

ival-mult: 32.0ms (19.4% of total)

ival-div: 13.0ms (7.9% of total)

ival-sub: 6.0ms (3.6% of total)

ival-sqrt: 6.0ms (3.6% of total)

ival-pow: 3.0ms (1.8% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

-1.1MiB live, 75.8MiB allocated

Counts

21 → 480

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ eps x)) (taylor 0 eps) (#s(alt (+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))) (patch (+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (taylor 0 eps) (#s(alt (+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))) (patch (+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (taylor 0 eps) (#s(alt (+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))) (patch (+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 eps) (#s(alt (+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))) (patch (+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 eps) (#s(alt #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (patch #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 eps) (#s(alt #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (patch #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 eps) (#s(alt #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (patch #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 eps) (#s(alt #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (patch #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ eps x)) (taylor 0 eps) (#s(alt (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) (patch (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (taylor 0 eps) (#s(alt (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) (patch (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (taylor 0 eps) (#s(alt (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) (patch (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 eps) (#s(alt (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) (patch (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 eps) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ eps x)) (* 2 x)) (taylor 0 eps) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) (taylor 0 eps) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) (taylor 0 eps) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ eps x)) (taylor 0 eps) (#s(alt (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) eps))) (patch (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) eps))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 1 (* 1/2 (/ eps (pow x 2)))) x)) (taylor -inf x) (#s(alt (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))) (patch (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) x)) (taylor -inf x) (#s(alt (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))) (patch (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf x) (#s(alt (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))) (patch (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)) (patch #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ eps (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)) (patch #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow eps 2) (pow x 4))) (* -1 (/ eps (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)) (patch #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow eps 3) (pow x 6))) (+ (* -1 (/ eps (pow x 2))) (* -1 (/ (pow eps 2) (pow x 4))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)) (patch #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) (patch (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) (patch (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) (patch (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) (patch (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 x x)) (patch (-.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 x x)) (patch (-.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 x x)) (patch (-.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (.f64 x x)) (patch (-.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (patch (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (patch (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (patch (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf x) (#s(alt (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (patch (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x)) (patch (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) (taylor -inf x) (#s(alt (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x)) (patch (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x)) (patch (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4))))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x)) (patch (/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ eps x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x) (patch (+.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x) (patch (+.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x) (patch (+.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x) (patch (+.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) eps) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify185.0ms (1.7%)

Memory

36.7MiB live, 349.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	7608
1	2473	7195
0	8357	6798

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 447

Calls

Call 1

Inputs
(* 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))))
0
0
0
0
(* 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))))
(* 2 x)
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* 1/2 (/ 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))))
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)))))
(pow x 2)
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 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))))
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)))))
(pow x 2)
(+ eps (pow x 2))
(+ eps (pow x 2))
(+ eps (pow x 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))))
x
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(/ 1 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))
(/ 1 (pow x 2))
(+ (/ 1 (pow x 2)) (/ eps (pow x 4)))
(+ (* eps (+ (/ 1 (pow x 4)) (/ eps (pow x 6)))) (/ 1 (pow x 2)))
(+ (* eps (+ (* eps (+ (/ 1 (pow x 6)) (/ eps (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(pow x 2)
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
eps
eps
eps
eps
(* 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 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* 2 x)
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(/ (pow x 2) eps)
(/ (+ (* -1 eps) (pow x 2)) eps)
(/ (+ (* -1 eps) (pow x 2)) eps)
(/ (+ (* -1 eps) (pow x 2)) eps)
(* (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)))
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0
0
0
0
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(sqrt eps)
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(sqrt eps)
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eps
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(/ (- (* -1 (/ (pow x 6) (pow eps 3))) (+ 1 (+ (/ (pow x 2) eps) (/ (pow x 4) (pow eps 2))))) eps)
(* -1 eps)
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eps
eps
eps
eps
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(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
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-1
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0
0
0
0
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(* (sqrt 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)))))))
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(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* (sqrt eps) (pow (sqrt -1) 2)))
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(* -1 (* (sqrt eps) (pow (sqrt -1) 2)))
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(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2))) (* (sqrt (/ 1 eps)) (pow (sqrt -1) 2))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2))) (* (sqrt (/ 1 eps)) (pow (sqrt -1) 2)))))))
eps
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(* (sqrt 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)))))))
(* (sqrt (/ 1 eps)) (sqrt -1))
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eps
eps
eps
eps
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(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
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0
0
0
0
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(* (sqrt eps) (sqrt -1))
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(- (pow x 2) eps)
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(sqrt eps)
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(sqrt eps)
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eps
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(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (sqrt eps) (sqrt -1))
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(* (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 eps)
(- (* -1 (/ (pow x 2) (pow eps 2))) (/ 1 eps))
(- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps))
(* -1 eps)
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
(+ (* -1 eps) (pow x 2))
0
0
0
0
eps
eps
eps
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))))
(* (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
(- (/ (pow x 2) eps) 1)
(- (/ (pow x 2) eps) 1)
(- (/ (pow x 2) eps) 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)
0
0
0
0
(* 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)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(pow x 2)
(* (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)))))
(* 1/2 (/ eps x))
(/ (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps))) x)
(/ (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)))) x)
x
(* x (+ 1 (* 1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(/ 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 (pow x 2))
(/ (+ 1 (/ eps (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ (pow eps 2) (pow x 4))) (* -1 (/ eps (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (pow eps 3) (pow x 6))) (+ (* -1 (/ eps (pow x 2))) (* -1 (/ (pow eps 2) (pow x 4))))) (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)))))
0
0
0
0
eps
eps
eps
eps
(* 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)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(/ (pow x 2) eps)
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
0
0
0
0
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* 1/2 (/ 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))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(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)))))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 2 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (+ 2 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(/ -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 (pow x 2))
(/ (+ 1 (/ eps (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ (pow eps 2) (pow x 4))) (* -1 (/ eps (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (pow eps 3) (pow x 6))) (+ (* -1 (/ eps (pow x 2))) (* -1 (/ (pow eps 2) (pow x 4))))) (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)))))
0
0
0
0
eps
eps
eps
eps
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* 1/2 (/ 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))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(/ (pow x 2) eps)
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))

Outputs
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* -1/2 (/ eps x)) (* 2 x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)) eps (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal -1/2 binary64) x)) eps (*.f64 #s(literal 2 binary64) x))
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
x
(+ 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 (fma.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)) eps x)
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal -1/2 binary64) x)) eps x)
(pow x 2)
(*.f64 x x)
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(* eps (+ (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (- (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) eps (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (- (* eps (+ (* -5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
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x
(+ x (* 1/2 (/ eps x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) eps x)
(+ x (* eps (+ (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) eps x)
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(pow x 2)
(*.f64 x x)
(+ eps (pow x 2))
(fma.f64 x x eps)
(+ eps (pow x 2))
(fma.f64 x x eps)
(+ eps (pow x 2))
(fma.f64 x x eps)
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
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(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
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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 (fma.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)) eps x)
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal -1/2 binary64) x)) eps x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/2 (/ eps (pow x 3))) (/ 1 x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1 binary64) x))
(+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(fma.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64))) eps (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1 binary64) x))
(+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1 binary64) x))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(+ (/ 1 (pow x 2)) (/ eps (pow x 4)))
(+.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(+ (* eps (+ (/ 1 (pow x 4)) (/ eps (pow x 6)))) (/ 1 (pow x 2)))
(+.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 eps (pow.f64 x #s(literal 6 binary64))) eps (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(+ (* eps (+ (* eps (+ (/ 1 (pow x 6)) (/ eps (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(fma.f64 (fma.f64 (+.f64 (/.f64 eps (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) eps (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) eps (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(pow x 2)
(*.f64 x x)
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
eps
eps
eps
eps
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* -1/2 (/ eps x)) (* 2 x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)) eps (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal -1/2 binary64) x)) eps (*.f64 #s(literal 2 binary64) x))
(/ (pow x 2) eps)
(/.f64 (*.f64 x x) eps)
(/ (+ (* -1 eps) (pow x 2)) eps)
(/.f64 (fma.f64 x x (neg.f64 eps)) eps)
(/ (+ (* -1 eps) (pow x 2)) eps)
(/.f64 (fma.f64 x x (neg.f64 eps)) eps)
(/ (+ (* -1 eps) (pow x 2)) eps)
(/.f64 (fma.f64 x x (neg.f64 eps)) 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))) 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 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) (/.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))) (/.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 eps)) x) (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 x #s(literal -1 binary64))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (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 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) (/.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))) (/.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 eps)) x) (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 x #s(literal -1 binary64))))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) eps)
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(.f64 (fma.f64 (.f64 (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (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 (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)))) eps)
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (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 (.f64 (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (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 (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (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)))))) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (pow x 2) eps) 1))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(* eps (- (/ (pow x 2) eps) 1))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(* eps (- (/ (pow x 2) eps) 1))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(sqrt eps)
(sqrt.f64 eps)
(* eps (+ (sqrt (/ 1 eps)) (* -1 (/ x eps))))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x eps)) eps)
(* eps (- (+ (sqrt (/ 1 eps)) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2)))) (/ x eps)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x eps))) eps)
(* eps (- (+ (sqrt (/ 1 eps)) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2))))) (/ x eps)))
(.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (/.f64 x eps)) eps)
(sqrt eps)
(sqrt.f64 eps)
(* eps (+ (sqrt (/ 1 eps)) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) eps)
(* eps (+ (sqrt (/ 1 eps)) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) eps)
(* eps (+ (sqrt (/ 1 eps)) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (pow x 4))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (pow x 6))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2)))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) eps)
eps
(* eps (+ 1 (/ (pow x 2) eps)))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (/ (pow x 2) eps)))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (/ (pow x 2) eps)))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64)) eps)
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (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 (.f64 (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (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 (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (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)))))) eps)
(* (sqrt (/ 1 eps)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -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))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -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)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(/ -1 eps)
(/.f64 #s(literal -1 binary64) eps)
(/ (- (* -1 (/ (pow x 2) eps)) 1) eps)
(/.f64 (neg.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64))) eps)
(/ (- (* -1 (/ (pow x 4) (pow eps 2))) (+ 1 (/ (pow x 2) eps))) eps)
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) eps)
(/ (- (* -1 (/ (pow x 6) (pow eps 3))) (+ 1 (+ (/ (pow x 2) eps) (/ (pow x 4) (pow eps 2))))) eps)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64))) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (pow x 2) eps) 1))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(* eps (- (/ (pow x 2) eps) 1))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(* eps (- (/ (pow x 2) eps) 1))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
eps
eps
eps
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))) 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 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) (/.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))) (/.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 eps)) x) (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 x #s(literal -1 binary64))))
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) eps)
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(.f64 (fma.f64 (.f64 (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (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 (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)))) eps)
-1
#s(literal -1 binary64)
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) eps) (.f64 (neg.f64 eps) x)) (neg.f64 eps)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (neg.f64 (fma.f64 x eps (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x) (/.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 eps)) x) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 eps eps))) (neg.f64 eps))) eps))) (neg.f64 eps)))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) (.f64 (neg.f64 eps) x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 (neg.f64 x) eps (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x))) (.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) #s(literal -1 binary64))))) (neg.f64 eps))) eps)))
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) x) (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) eps)) (neg.f64 eps))) (neg.f64 eps))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) x) (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) eps)) (neg.f64 eps))) (neg.f64 eps))
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
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(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) eps)) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) eps)) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) eps)) (neg.f64 eps))
(* -1 (* (sqrt eps) (pow (sqrt -1) 2)))
(sqrt.f64 eps)
(* -1 (* eps (+ (* (sqrt (/ 1 eps)) (pow (sqrt -1) 2)) (/ x eps))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64) (/.f64 x eps)) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 eps)) (pow x 2))) x) eps)) (* (sqrt (/ 1 eps)) (pow (sqrt -1) 2)))))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) eps)) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt eps) (pow x 2)))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (pow (sqrt -1) 2)))))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) x) x)) (neg.f64 eps)) x) eps)) (neg.f64 eps))
(* -1 (* (sqrt eps) (pow (sqrt -1) 2)))
(sqrt.f64 eps)
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2))) (* (sqrt (/ 1 eps)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2))) (* (sqrt (/ 1 eps)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (pow x 2))) (* (sqrt (/ 1 eps)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (fma.f64 (/.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 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))) (neg.f64 eps))
eps
(* -1 (* eps (- (* -1 (/ (pow x 2) eps)) 1)))
(*.f64 (neg.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (pow x 2) eps)) 1)))
(*.f64 (neg.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (pow x 2) eps)) 1)))
(*.f64 (neg.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64))) (neg.f64 eps))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) x) (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) eps)) (neg.f64 eps))) (neg.f64 eps))
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 eps))
(* (sqrt (/ 1 eps)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -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))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -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 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) eps) (pow.f64 x #s(literal 6 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 eps)))) (pow.f64 eps #s(literal 3 binary64)))))
(/ -1 eps)
(/.f64 #s(literal -1 binary64) eps)
(* -1 (/ (+ 1 (/ (pow x 2) eps)) eps))
(/.f64 (neg.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64))) eps)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 4) eps)) (pow x 2)) eps))) eps))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 eps))) eps)) (neg.f64 eps))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 6) eps) (* -1 (pow x 4))) eps)) (pow x 2)) eps))) eps))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps))) eps)) (neg.f64 eps))
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) eps)) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) eps)) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) eps)) (neg.f64 eps))
eps
eps
eps
eps
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) (.f64 (neg.f64 eps) x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 (neg.f64 x) eps (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x))) (.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) #s(literal -1 binary64))))) (neg.f64 eps))) 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 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) x) (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) eps)) (neg.f64 eps))) (neg.f64 eps))
-1
#s(literal -1 binary64)
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(* (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 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) x (/.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 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps))) x)) x #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (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 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) x (/.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 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps))) x)) x #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ x (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x)
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x))
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) x) x x))
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/8 binary64))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 x x) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(fma.f64 x x (neg.f64 eps))
(- (pow x 2) eps)
(fma.f64 x x (neg.f64 eps))
(- (pow x 2) eps)
(fma.f64 x x (neg.f64 eps))
(sqrt eps)
(sqrt.f64 eps)
(+ (sqrt eps) (* -1 x))
(-.f64 (sqrt.f64 eps) x)
(+ (sqrt eps) (* x (- (* 1/2 (* (sqrt (/ 1 eps)) x)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) x (sqrt.f64 eps))
(+ (sqrt eps) (* x (- (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (pow x 2))) (* 1/2 (sqrt (/ 1 eps))))) 1)))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))) x (sqrt.f64 eps))
(sqrt eps)
(sqrt.f64 eps)
(+ (sqrt eps) (* 1/2 (* (sqrt (/ 1 eps)) (pow x 2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 eps))
(+ (sqrt eps) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (pow x 2))) (* 1/2 (sqrt (/ 1 eps))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (.f64 x x) (sqrt.f64 eps))
(+ (sqrt eps) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 eps))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow eps 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (.f64 x x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (.f64 x x) (sqrt.f64 eps))
eps
(+ eps (pow x 2))
(fma.f64 x x eps)
(+ eps (pow x 2))
(fma.f64 x x eps)
(+ eps (pow x 2))
(fma.f64 x x eps)
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/8 binary64))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 x x) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* (sqrt (/ 1 eps)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (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)))))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (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)))))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 eps) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) eps) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64)))) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))
(/ -1 eps)
(/.f64 #s(literal -1 binary64) eps)
(- (* -1 (/ (pow x 2) (pow eps 2))) (/ 1 eps))
(/.f64 (neg.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64))) eps)
(- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps))
(fma.f64 (*.f64 (neg.f64 (fma.f64 x (/.f64 x (pow.f64 eps #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps))) x) x (/.f64 #s(literal -1 binary64) eps))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 x (/.f64 x (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (*.f64 x x) (/.f64 #s(literal -1 binary64) eps))
(* -1 eps)
(neg.f64 eps)
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
eps
eps
eps
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))) 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 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) x (/.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 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps))) x)) x #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ x (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x)
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x))
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) x) x x))
-1
#s(literal -1 binary64)
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
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(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(/.f64 (-.f64 (.f64 eps #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (.f64 eps eps) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64))))) x)
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
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(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps (pow x 2))))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))))
(neg.f64 (fma.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64)))) x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 eps x) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 eps x) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 eps x) x) #s(literal 1 binary64)) x) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64) #s(literal -2 binary64)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 eps x) (.f64 (*.f64 eps eps) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 eps x) (fma.f64 (.f64 eps eps) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 6 binary64))))) x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 1/2 (/ eps (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) x))
(/.f64 (fma.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 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))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 eps eps) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 x))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (/ eps (pow x 2))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 eps x) x) #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ (pow eps 2) (pow x 4))) (* -1 (/ eps (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 eps x) x) #s(literal 1 binary64))) (*.f64 x x))
(/ (- (+ 1 (/ (pow eps 3) (pow x 6))) (+ (* -1 (/ eps (pow x 2))) (* -1 (/ (pow eps 2) (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 eps x) x)) (+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (*.f64 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 (/.f64 eps x) x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) x)) x) x)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
eps
eps
eps
eps
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64) #s(literal -2 binary64)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(.f64 (neg.f64 (fma.f64 (.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64)))) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64)) eps) #s(literal -2 binary64) (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1/4 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/16 binary64))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(/.f64 (-.f64 (.f64 eps #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (.f64 eps eps) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64))))) x)
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (.f64 eps eps) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x))
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(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x x))
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
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rewrite184.0ms (1.7%)

Memory

-2.7MiB live, 278.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	231
0	68	191
1	289	183
2	2025	164
0	10002	164

Stop Event

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

Counts

21 → 891

Calls

Call 1

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

Outputs
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eval175.0ms (1.6%)

Memory: 12.6MiB live, 278.9MiB allocated
Compiler: Compiled 30 966 to 4 127 computations (86.7% saved)

prune43.0ms (0.4%)

Memory

5.6MiB live, 122.4MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 332	6	1 338
Fresh	3	6	9
Picked	2	3	5
Done	0	4	4
Total	1 337	19	1 356

Accuracy

100.0%

Counts

1 356 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.4%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) #s(approx (+ (sqrt (- ( x x) eps)) x) (*.f64 #s(literal 2 binary64) x)))
	19.1%	(/.f64 (-.f64 #s(approx (+ (* x x) eps) (.f64 (+.f64 (/.f64 eps (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
	99.3%	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) x))
	44.6%	(/.f64 (.f64 eps eps) (.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x) eps))
	99.4%	(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
	99.4%	(/.f64 eps (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x))
✓	4.3%	(-.f64 (sqrt.f64 (fma.f64 x x eps)) x)
	5.2%	(-.f64 #s(approx (sqrt (+ (* x x) eps)) (neg.f64 x)) x)
✓	55.6%	(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)))))
✓	61.0%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	55.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	7.4%	(-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
✓	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
✓	99.5%	(+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)))
	46.5%	(+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps #s(approx (+ (sqrt (+ (* x x) (neg eps))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)))))
	59.0%	(.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x eps)) (-.f64 (fma.f64 x x (neg.f64 eps)) (.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))
	45.3%	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
	45.1%	#s(approx (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
	1.6%	#s(approx (- (sqrt (+ (* x x) eps)) x) (sqrt.f64 eps))

Compiler

Compiled 1 048 to 347 computations (66.9% saved)

regimes59.0ms (0.6%)

Memory

-39.8MiB live, 106.2MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 #s(approx (sqrt (+ (* x x) eps)) (neg.f64 x)) x)
#s(approx (- (sqrt (+ (* x x) eps)) x) (sqrt.f64 eps))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) eps)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (/ (+ (* x x) (- eps (* x x))) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x eps)) x)
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
(-.f64 x #s(approx (/ 1 (sqrt (pow (- (* x x) eps) -1))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) #s(approx (+ (sqrt (- ( x x) eps)) x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (pow (- (* x x) eps) -1) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps #s(approx (+ (sqrt (+ (* x x) (neg eps))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 eps (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(/.f64 (fma.f64 x x (-.f64 eps (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x eps)) (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) #s(approx (+ (sqrt (- ( x x) eps)) x) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #s(approx (+ (sqrt (- (* x x) eps)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
(/.f64 (.f64 eps eps) (.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (fma.f64 (neg.f64 x) x (fma.f64 x x eps))))
(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x eps)) (-.f64 (fma.f64 x x (neg.f64 eps)) (.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x))
(/.f64 (-.f64 #s(approx (+ (* x x) eps) (.f64 (+.f64 (/.f64 eps (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(fma.f64 x (/.f64 x (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x) (*.f64 x x))) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)))
(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* x x) eps) (.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps))
(.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
(.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) #s(approx (+ (sqrt (- (* x x) eps)) x) (.f64 (fma.f64 (.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64))) x)))
(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))))))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) x)
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) eps) (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps x)) (/.f64 eps x) (.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))

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

Calls

3 calls:

26.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
17.0ms	eps
14.0ms	x

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 10 to 10 computations (0% saved)

regimes17.0ms (0.2%)

Memory

-3.6MiB live, 35.3MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	eps
5.0ms	x
5.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes17.0ms (0.2%)

Memory

-10.6MiB live, 31.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
5.0ms	eps
5.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
93.0%	2	`x`
80.4%	2	`eps`
97.8%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes5.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
97.7%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
95.0%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

-32.7MiB live, 6.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
94.8%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.5%	2	`eps`
55.9%	1	`x`
55.9%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
5.2%	1	`eps`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3836334768172116e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3836334768172116e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3836334768172116e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3836334768172116e-154	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch17.0ms (0.2%)

Memory

-19.5MiB live, 18.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-1.914441598169285e-308	8.14927840356479e-308

Samples

5.0ms	30×	2	valid
4.0ms	44×	1	valid
1.0ms	22×	0	invalid
1.0ms	22×	0	valid

Compiler

Compiled 65 to 83 computations (-27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

adjust: 2.0ms (29.4% of total)

ival-sqrt: 2.0ms (29.4% of total)

ival-sub: 2.0ms (29.4% of total)

ival-mult: 1.0ms (14.7% of total)

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

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

simplify25.0ms (0.2%)

Memory

0.2MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	254
1	79	254
2	97	254
3	107	254
4	111	254

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) #s(approx (/ (- (+ ( x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(if (<=.f64 eps #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- (sqrt (+ (* x x) eps)) x) (sqrt.f64 eps)))
(-.f64 #s(approx (sqrt (+ (* x x) eps)) (neg.f64 x)) x)
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))

Outputs
(+.f64 #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)) (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)))
(+.f64 (/.f64 eps (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) x)) #s(approx (/ 0 (/ (+ (sqrt (+ (* x x) (neg eps))) x) (* x x))) #s(literal 0 binary64)))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) #s(approx (/ (- (+ ( x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) #s(approx (/ (- (+ ( x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(if (<=.f64 eps #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- (sqrt (+ (* x x) eps)) x) (sqrt.f64 eps)))
(-.f64 #s(approx (sqrt (+ (* x x) eps)) (neg.f64 x)) x)
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))

soundness1.1s (10.2%)

Memory

52.1MiB live, 693.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	7608
1	2473	7195
0	8357	6798
0	1039	9038
1	3369	8390
0	8286	7982
0	538	7449
1	1692	7034
2	5884	6906
0	8357	6504
0	29	193
0	51	163
1	222	163
2	1786	163
0	8551	163
0	36	230
0	61	174
1	302	160
2	2075	132
0	8947	132
0	257	1253
1	784	1238
2	2588	1200
3	6920	1197
0	8069	1129
0	6	22
0	10	22
1	42	22
2	310	22
3	3602	22
0	8549	22

Stop Event

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

Compiler

Compiled 380 to 202 computations (46.8% saved)

preprocess80.0ms (0.8%)

Memory: 9.1MiB live, 121.4MiB allocated
Compiler: Compiled 320 to 112 computations (65% 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

start0.0ms (0%)

analyze14.0ms (0.1%)

sample1.6s (15.1%)

explain103.0ms (1%)

preprocess29.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.1%)

localize70.0ms (0.7%)

series9.0ms (0.1%)

simplify169.0ms (1.6%)

rewrite160.0ms (1.5%)

eval58.0ms (0.5%)

prune72.0ms (0.7%)

simplify186.0ms (1.8%)

localize117.0ms (1.1%)

series365.0ms (3.4%)

simplify317.0ms (3%)

rewrite244.0ms (2.3%)

eval825.0ms (7.8%)

prune68.0ms (0.6%)

simplify314.0ms (3%)

localize127.0ms (1.2%)

series67.0ms (0.6%)

simplify246.0ms (2.3%)

rewrite298.0ms (2.8%)

eval924.0ms (8.7%)

prune531.0ms (5%)

simplify1.5s (14.1%)

localize243.0ms (2.3%)

series28.0ms (0.3%)

simplify185.0ms (1.7%)

rewrite184.0ms (1.7%)

eval175.0ms (1.6%)

prune43.0ms (0.4%)

regimes59.0ms (0.6%)

regimes17.0ms (0.2%)

regimes17.0ms (0.2%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

simplify25.0ms (0.2%)

soundness1.1s (10.2%)

preprocess80.0ms (0.8%)

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