Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.1%)

Memory

-10.1MiB live, 28.8MiB 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)

sample1.3s (12.1%)

Memory

-3.5MiB live, 1 863.6MiB allocated

Samples

485.0ms	4 896×	0	valid
357.0ms	2 760×	1	valid
107.0ms	600×	2	valid
12.0ms	192×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 674.0ms

ival-sub: 246.0ms (36.5% of total)

ival-<=: 118.0ms (17.5% of total)

ival-sqrt: 99.0ms (14.7% of total)

adjust: 87.0ms (12.9% of total)

ival-mult: 82.0ms (12.2% of total)

ival-and: 22.0ms (3.3% of total)

exact: 17.0ms (2.5% of total)

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

Bogosity

explain415.0ms (3.7%)

Memory

18.5MiB live, 175.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
104	-	-	`(-.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	104	0

Confusion

	Predicted +	Predicted -
+	104	0
-	0	152

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	104	0	0
-	0	0	152

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	152
1	104

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms	318×	0	valid
16.0ms	154×	1	valid
6.0ms	40×	2	valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 58.0ms (77.3% of total)

ival-sub: 7.0ms (9.3% of total)

ival-sqrt: 5.0ms (6.7% of total)

adjust: 4.0ms (5.3% of total)

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

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

preprocess31.0ms (0.3%)

Memory

12.9MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify13.0ms (0.1%)

Memory

-25.2MiB live, 13.7MiB 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)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.3%)

Memory

3.7MiB live, 47.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(-.f64 (*.f64 x x) eps)
accuracy	0.0078125	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	23.536883222446523	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

10.0ms	159×	0	valid
9.0ms	77×	1	valid
3.0ms	20×	2	valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 6.0ms (40.6% of total)

ival-sqrt: 3.0ms (20.3% of total)

ival-mult: 3.0ms (20.3% of total)

adjust: 2.0ms (13.5% of total)

ival-true: 2.0ms (13.5% of total)

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

series9.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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 (* (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 (* 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 (* 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 (* 1/2 (/ 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 (* -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 (-.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 (* (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 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 (* -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 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 (* (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 (* (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 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 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 (.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 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 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 (* -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 (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 (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 (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

21 calls:

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

simplify296.0ms (2.7%)

Memory

-6.3MiB live, 354.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

rewrite246.0ms (2.2%)

Memory

6.7MiB live, 356.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 224

Calls

Call 1

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

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

eval124.0ms (1.1%)

Memory: -37.0MiB live, 94.4MiB allocated
Compiler: Compiled 9 677 to 1 047 computations (89.2% saved)

prune62.0ms (0.6%)

Memory

11.4MiB live, 123.9MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	289	17	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	289	18	307

Accuracy

99.8%

Counts

307 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.4%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) x)
	62.8%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	62.9%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
	62.8%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fma.f64 x (/.f64 x (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
	48.2%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	40.2%	(/.f64 (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps))))
✓	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	63.2%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))
	59.0%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	7.1%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
▶	3.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	48.0%	(.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	40.9%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x))
	26.6%	#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 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 x x))))) x))
	34.5%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 eps #s(literal 1/2 binary64)))) x))
	43.1%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
	23.2%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))))
▶	29.7%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 928 to 378 computations (59.3% saved)

simplify335.0ms (3%)

Memory

19.5MiB live, 435.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))
cost-diff	0	(fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
cost-diff	192	(fma.f64 x x (-.f64 (*.f64 x x) eps))
cost-diff	896	(-.f64 (fma.f64 x x eps) (*.f64 x x))
cost-diff	2048	(/.f64 (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps))))
cost-diff	0	(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))
cost-diff	0	(/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x)
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x))
cost-diff	320	(fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps 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	#s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))
cost-diff	0	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))
cost-diff	896	(*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))

Rules

18 048×	`lower-fma.f32`
18 036×	`lower-fma.f64`
4 956×	`lower-*.f32`
4 940×	`lower-*.f64`
2 486×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	391
0	81	369
1	163	364
2	363	340
3	870	328
4	2548	322
5	7074	322
0	8161	319

Stop Event

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

Calls

Call 1

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

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

localize218.0ms (2%)

Memory

-1.3MiB live, 404.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	5.487365082980894	(fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))
accuracy	6.252148225501328	(.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	36.724266232219655	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))))
accuracy	38.39613359221575	(fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))
accuracy	0.04296875	(.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
accuracy	0.18359375	(.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (*.f64 x x) eps)))
accuracy	23.12820827144139	(-.f64 (fma.f64 x x eps) (*.f64 x x))
accuracy	24.556388282710117	(/.f64 (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps))))
accuracy	0.00390625	(.f64 #s(literal 1/8 binary64) (.f64 eps eps))
accuracy	0.109375	(/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x)
accuracy	23.07153775639743	(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))
accuracy	37.77377693097124	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x))
accuracy	0	(neg.f64 x)
accuracy	23.536883222446523	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
accuracy	62.4405465828546	#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
accuracy	0.0078125	(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))
accuracy	0.109375	(*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))
accuracy	0.1171875	(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
accuracy	23.536883222446523	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))

Samples

86.0ms	78×	1	valid
49.0ms	159×	0	valid
13.0ms	19×	2	valid

Compiler

Compiled 341 to 41 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 38.0ms (40% of total)

ival-div: 23.0ms (24.2% of total)

ival-add: 10.0ms (10.5% of total)

adjust: 8.0ms (8.4% of total)

ival-sub: 5.0ms (5.3% of total)

ival-sqrt: 3.0ms (3.2% of total)

ival-pow: 3.0ms (3.2% of total)

ival-neg: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series53.0ms (0.5%)

Memory

12.3MiB live, 124.8MiB allocated

Counts

22 → 504

Calls

Call 1

Inputs
#s(alt (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))) (patch (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (patch (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))) (patch #s(approx (- ( x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))) #<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 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 x x))) (patch (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 x x))) x)) (patch #s(approx (- x (sqrt (- ( x x) eps))) (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 x x))) x) (patch (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 x x))) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 x x)) (patch (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps)))) (patch (/.f64 (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps)))) #<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 (fma.f64 x x (-.f64 (.f64 x x) eps)) (patch (fma.f64 x x (-.f64 (.f64 x x) eps)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (.f64 x x))) (patch (.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (-.f64 (fma.f64 x x eps) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))) (patch #s(approx (- x (sqrt (- ( x x) eps))) (.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (patch (.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (patch (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) #<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>) () ())
#s(alt (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (patch (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps))) (patch (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps))) #<representation binary64>) () ())

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

Calls

126 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* eps (+ (* x (/ x eps)) -1))
2.0ms	eps	@	-inf	(- (+ (* x x) eps) (* x x))
2.0ms	x	@	inf	(* (+ (* x x) (- (* x x) eps)) (- (+ (* x x) eps) (* x x)))
1.0ms	x	@	inf	(* eps (+ (* x (/ x eps)) -1))
1.0ms	eps	@	inf	(* eps (+ (* eps (+ (* eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x))))) (/ 1/2 x)))

simplify319.0ms (2.9%)

Memory

16.5MiB live, 520.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 894×	`lower-fma.f64`
11 894×	`lower-fma.f32`
6 188×	`lower-*.f64`
6 188×	`lower-*.f32`
4 456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	7407
1	2009	7095
2	6831	7005
0	8456	6675

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 476

Calls

Call 1

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

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

rewrite419.0ms (3.8%)

Memory

-30.1MiB live, 622.1MiB allocated

Rules

6 226×	`lower-/.f32`
6 212×	`lower-/.f64`
4 770×	`lower-*.f32`
4 754×	`lower-*.f64`
4 420×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	314
0	81	306
1	339	301
2	2993	293
0	9681	293

Stop Event

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

Counts

22 → 758

Calls

Call 1

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

Outputs
(+.f64 (neg.f64 eps) (/.f64 (.f64 eps (.f64 x x)) eps))
(+.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (neg.f64 eps))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (/.f64 (.f64 eps (.f64 x x)) eps)) (-.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (neg.f64 eps))) (/.f64 (.f64 eps eps) (-.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (neg.f64 eps))))
(fma.f64 eps #s(literal -1 binary64) (/.f64 (.f64 eps (.f64 x x)) eps))
(fma.f64 eps (/.f64 (*.f64 x x) eps) (neg.f64 eps))
(fma.f64 x (*.f64 (/.f64 x eps) eps) (neg.f64 eps))
(fma.f64 (/.f64 x eps) (*.f64 x eps) (neg.f64 eps))
(fma.f64 #s(literal -1 binary64) eps (/.f64 (.f64 eps (.f64 x x)) eps))
(fma.f64 (/.f64 (*.f64 x x) eps) eps (neg.f64 eps))
(fma.f64 (*.f64 eps x) (/.f64 x eps) (neg.f64 eps))
(fma.f64 (*.f64 eps (/.f64 x eps)) x (neg.f64 eps))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps eps)) (neg.f64 (.f64 eps (.f64 eps eps)))) (fma.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (/.f64 (.f64 eps (.f64 x x)) eps) (-.f64 (.f64 eps eps) (.f64 (/.f64 (.f64 eps (*.f64 x x)) eps) (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (/.f64 (.f64 eps (.f64 x x)) eps)) (.f64 eps eps)) (-.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (neg.f64 eps)))
(/.f64 (.f64 eps (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) (neg.f64 x))))
(/.f64 (.f64 eps (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal -1 binary64))) (fma.f64 x (/.f64 x eps) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) eps) (-.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) (neg.f64 x))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal -1 binary64)) eps) (fma.f64 x (/.f64 x eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps eps)) (neg.f64 (.f64 eps (.f64 eps eps))))) (neg.f64 (fma.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (/.f64 (.f64 eps (.f64 x x)) eps) (-.f64 (.f64 eps eps) (.f64 (/.f64 (.f64 eps (*.f64 x x)) eps) (neg.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (/.f64 (.f64 eps (.f64 x x)) eps)) (.f64 eps eps))) (neg.f64 (-.f64 (/.f64 (.f64 eps (.f64 x x)) eps) (neg.f64 eps))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) eps)) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal -1 binary64)) eps)) (neg.f64 (fma.f64 x (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(+.f64 x (neg.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))))
(+.f64 (neg.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) x)
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))
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eval330.0ms (3%)

Memory: -27.5MiB live, 380.8MiB allocated
Compiler: Compiled 49 305 to 3 184 computations (93.5% saved)

prune214.0ms (1.9%)

Memory

52.7MiB live, 440.0MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 299	9	1 308
Fresh	5	7	12
Picked	3	2	5
Done	0	1	1
Total	1 307	19	1 326

Accuracy

99.9%

Counts

1 326 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.4%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) x)
▶	62.8%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	62.9%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
	62.8%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (fma.f64 x (/.f64 x (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
	62.5%	(/.f64 (.f64 (fma.f64 x (+.f64 x x) (neg.f64 eps)) (/.f64 (fma.f64 x (neg.f64 x) (fma.f64 x x eps)) (fma.f64 x (+.f64 x x) (neg.f64 eps)))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
	61.4%	(/.f64 #s(approx (* (+ (* x x) (- (* x x) eps)) (- (+ (* x x) eps) (* x x))) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) eps))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps))))
	61.4%	(/.f64 #s(approx (* (+ (* x x) (- (* x x) eps)) (- (+ (* x x) eps) (* x x))) (.f64 eps (.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) eps) #s(literal -1 binary64))))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 x x (-.f64 (.f64 x x) eps))))
▶	62.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))))
✓	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	63.2%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))
	26.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps #s(approx (+ ( x (/ x eps)) -1) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))))
▶	59.0%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	7.1%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
✓	3.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	48.0%	(.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (fma.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x x (-.f64 (.f64 x x) eps)) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
	40.9%	#s(approx (/ (* (+ (* x x) (- (* x x) eps)) (- (+ (* x x) eps) (* x x))) (* (+ x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps)))) (/.f64 (.f64 eps (fma.f64 eps (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) x))
	43.1%	#s(approx (/ (* (+ (* x x) (- (* x x) eps)) (- (+ (* x x) eps) (* x x))) (* (+ x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps)))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
▶	39.8%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (fma.f64 eps #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))))
	11.8%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (+ (* eps 1/2) (/ (* 1/8 (* eps eps)) (* x x))) x) (.f64 (.f64 eps eps) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))

Compiler

Compiled 871 to 360 computations (58.7% saved)

simplify956.0ms (8.6%)

Memory

-54.8MiB live, 323.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))
cost-diff	0	(/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))))
cost-diff	896	(*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x))))
cost-diff	0	(fma.f64 eps #s(approx (+ (* eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 eps (fma.f64 eps #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (fma.f64 eps #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(sqrt.f64 (-.f64 (*.f64 x x) eps))
cost-diff	0	(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
cost-diff	0	(sqrt.f64 x)
cost-diff	1600	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
cost-diff	0	(neg.f64 eps)
cost-diff	0	#s(approx (- (* x x) eps) (neg.f64 eps))
cost-diff	0	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
cost-diff	0	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 x x eps)
cost-diff	0	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
cost-diff	896	(-.f64 (fma.f64 x x eps) (*.f64 x x))

Rules

13 180×	`lower-fma.f32`
13 170×	`lower-fma.f64`
3 504×	`lower-*.f32`
3 496×	`lower-*.f64`
2 742×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	475
0	84	483
1	146	483
2	271	446
3	569	408
4	1084	408
5	3340	408
0	8419	404

Stop Event

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

Calls

Call 1

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

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

localize1.4s (12.7%)

Memory

21.4MiB live, 253.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
accuracy	0.140625	(/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))))
accuracy	23.127545850658862	(-.f64 (.f64 x x) #s(approx (- ( x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))
accuracy	5.487365082980894	(fma.f64 eps #s(approx (+ (* eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))
accuracy	6.252148225501328	(.f64 eps (fma.f64 eps #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	11.030032610874542	(/.f64 eps (*.f64 x x))
accuracy	36.724266232219655	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (fma.f64 eps #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))))
accuracy	0	(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
accuracy	0.00390625	(-.f64 (*.f64 x x) eps)
accuracy	0.0078125	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	23.780938903442884	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
accuracy	0	(neg.f64 eps)
accuracy	0.0078125	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
accuracy	23.536883222446523	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
accuracy	25.352135548685983	#s(approx (- (* x x) eps) (neg.f64 eps))
accuracy	0.0078125	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01171875	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
accuracy	0.29296875	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
accuracy	23.12820827144139	(-.f64 (fma.f64 x x eps) (*.f64 x x))

Samples

435.0ms	159×	0	valid
406.0ms	20×	2	valid
69.0ms	77×	1	valid

Compiler

Compiled 323 to 44 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 492.0ms

ival-mult: 408.0ms (83% of total)

adjust: 37.0ms (7.5% of total)

ival-div: 18.0ms (3.7% of total)

ival-add: 11.0ms (2.2% of total)

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

ival-sqrt: 5.0ms (1% of total)

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

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

exact: 1.0ms (0.2% of total)

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

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

series35.0ms (0.3%)

Memory

-11.2MiB live, 74.2MiB allocated

Counts

25 → 564

Calls

Call 1

Inputs
#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 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.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 x) (patch (.f64 x 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 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (patch (neg.f64 (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 #s(approx (- x (sqrt (- (* x x) eps))) (.f64 eps (fma.f64 eps #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))) (patch #s(approx (- x (sqrt (- ( x x) eps))) (.f64 eps (fma.f64 eps #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 eps (fma.f64 eps #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (patch (.f64 eps (fma.f64 eps #s(approx (+ (* eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 eps #s(approx (+ (* eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 eps #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (.f64 x x)))) (patch #s(approx (+ ( eps (/ 1/16 (pow x 5))) (/ 1/8 (* x (* x x)))) (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))) (patch (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (patch (/.f64 (+.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) (patch (+.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)))))) #<representation binary64>) () ())
#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 (-.f64 (.f64 x x) eps) (patch (-.f64 (.f64 x x) eps) #<representation binary64>) () ())
#s(alt (/.f64 eps (.f64 x x)) (patch (/.f64 eps (.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<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 eps (taylor 0 x) (#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 eps (taylor 0 x) (#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 eps (taylor 0 x) (#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 eps (taylor 0 x) (#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 eps (taylor inf x) (#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 eps (taylor inf x) (#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 eps (taylor inf x) (#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 eps (taylor inf x) (#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 eps (taylor -inf x) (#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 eps (taylor -inf x) (#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 eps (taylor -inf x) (#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 eps (taylor -inf x) (#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 eps (taylor 0 eps) (#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 eps (taylor 0 eps) (#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 eps (taylor 0 eps) (#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 eps (taylor 0 eps) (#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 eps (taylor inf eps) (#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 eps (taylor inf eps) (#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 eps (taylor inf eps) (#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 eps (taylor inf eps) (#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 eps (taylor -inf eps) (#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 eps (taylor -inf eps) (#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 eps (taylor -inf eps) (#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 eps (taylor -inf eps) (#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 (* (sqrt eps) (/ 1 (sqrt -1))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ eps x)) (taylor inf x) (#s(alt (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.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 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.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 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.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 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<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 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<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 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ eps x)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.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 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.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 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.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 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (patch (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) #<representation binary64>) () ())) ())
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#s(alt eps (taylor 0 eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) (patch (-.f64 (.f64 x x) #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 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) eps) 1) (taylor 0 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) eps) 1) (taylor 0 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) eps) 1) (taylor 0 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) 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>) () ())) ())
#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>) () ())) ())
#s(alt (/ (pow x 2) eps) (taylor 0 eps) (#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 (/ (+ (* -1 eps) (pow x 2)) eps) (taylor 0 eps) (#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 (/ (+ (* -1 eps) (pow x 2)) eps) (taylor 0 eps) (#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 (/ (+ (* -1 eps) (pow x 2)) eps) (taylor 0 eps) (#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 -1 (taylor inf eps) (#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) eps) 1) (taylor inf eps) (#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) eps) 1) (taylor inf eps) (#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) eps) 1) (taylor inf eps) (#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 -1 (taylor -inf eps) (#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) eps) 1) (taylor -inf eps) (#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) eps) 1) (taylor -inf eps) (#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) eps) 1) (taylor -inf eps) (#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

141 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	-inf	(/ eps (* x x))
0.0ms	eps	@	inf	(/ eps (* x x))
0.0ms	x	@	-inf	(sqrt x)
0.0ms	x	@	0	(/ (+ x (sqrt (- (* x x) eps))) (- (* x x) (- (* x x) eps)))
0.0ms	eps	@	-inf	(/ (+ x (sqrt (- (* x x) eps))) (- (* x x) (- (* x x) eps)))

simplify403.0ms (3.6%)

Memory

30.0MiB live, 538.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 334×	`lower-fma.f64`
11 334×	`lower-fma.f32`
5 834×	`lower-*.f64`
5 834×	`lower-*.f32`
4 222×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	632	8030
1	1979	7756
2	6605	7629
0	8487	7232

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 508

Calls

Call 1

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

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

rewrite461.0ms (4.1%)

Memory

-9.3MiB live, 505.3MiB allocated

Rules

5 546×	`lower-*.f32`
5 538×	`lower-*.f64`
4 202×	`lower-fma.f32`
4 192×	`lower-fma.f64`
3 236×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	378
0	84	358
1	349	320
2	2813	320
0	8777	316

Stop Event

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

Counts

25 → 596

Calls

Call 1

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

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

eval217.0ms (2%)

Memory: 23.8MiB live, 504.6MiB allocated
Compiler: Compiled 41 567 to 3 308 computations (92% saved)

prune441.0ms (4%)

Memory

-0.7MiB live, 436.7MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1 483	7	1 490
Fresh	7	4	11
Picked	3	2	5
Done	1	2	3
Total	1 494	15	1 509

Accuracy

100.0%

Counts

1 509 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.5%	(/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	62.9%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
	45.0%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (- ( x x) eps) (neg.f64 eps)) (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))) (fma.f64 x x (fma.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) #s(approx (- (* x x) eps) (neg.f64 eps)))))
▶	99.5%	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	58.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (neg.f64 eps)))))
▶	43.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (sqrt (- (* x x) eps))) (- (* x x) (- (* x x) eps))) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (+.f64 x x)) eps)))
✓	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	63.2%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 eps (fma.f64 x (/.f64 x eps) #s(literal -1 binary64))))))
	26.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps #s(approx (+ ( x (/ x eps)) -1) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))))
✓	59.0%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	7.1%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
	43.1%	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
▶	3.3%	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) (+.f64 x x))
	40.9%	#s(approx (/ (* (+ (* x x) (- (* x x) eps)) (- (+ (* x x) eps) (* x x))) (* (+ x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps)))) (/.f64 (.f64 eps (fma.f64 eps (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) x))
	11.8%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (/ (+ (* eps 1/2) (/ (* 1/8 (* eps eps)) (* x x))) x) (.f64 (.f64 eps eps) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))

Compiler

Compiled 419 to 220 computations (47.5% saved)

simplify475.0ms (4.3%)

Memory

1.0MiB live, 285.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (neg.f64 eps))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (neg.f64 eps)))))
cost-diff	0	(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (+.f64 x x))
cost-diff	0	(/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (+.f64 x x)) eps)
cost-diff	0	#s(approx (/ (+ x (sqrt (- (* x x) eps))) (- (* x x) (- (* x x) eps))) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (+.f64 x x)) eps))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (sqrt (- (* x x) eps))) (- (* x x) (- (* x x) eps))) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (+.f64 x x)) eps)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
cost-diff	0	#s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))
cost-diff	0	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
cost-diff	0	(+.f64 x x)
cost-diff	0	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) (+.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
cost-diff	192	(+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))
cost-diff	832	(-.f64 (.f64 x x) (.f64 x x))

Rules

16 404×	`lower-fma.f32`
16 400×	`lower-fma.f64`
1 944×	`lower--.f32`
1 938×	`lower--.f64`
1 918×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	310
0	64	282
1	109	264
2	160	262
3	386	262
4	1462	262
5	4254	262
0	8250	262

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1%)

Memory

-25.7MiB live, 174.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.140625	(/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (neg.f64 eps))))
accuracy	0.15625	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (neg.f64 eps)))))
accuracy	0.5087773068697682	(-.f64 (.f64 x x) #s(approx (- ( x x) eps) (neg.f64 eps)))
accuracy	2.170807952941468	#s(approx (- (* x x) eps) (neg.f64 eps))
accuracy	0.15625	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ x (sqrt (- (* x x) eps))) (- (* x x) (- (* x x) eps))) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (+.f64 x x)) eps)))
accuracy	0.16015625	(/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (+.f64 x x)) eps)
accuracy	0.17578125	(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (+.f64 x x))
accuracy	35.907222808787566	#s(approx (/ (+ x (sqrt (- (* x x) eps))) (- (* x x) (- (* x x) eps))) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (+.f64 x x)) eps))
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	0.17578125	(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
accuracy	0.5664293628742477	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
accuracy	35.927256113249925	#s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))
accuracy	0	(+.f64 x x)
accuracy	38.577765955349	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) (+.f64 x x))
accuracy	0.00390625	(-.f64 (*.f64 x x) eps)
accuracy	0.0078125	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01171875	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
accuracy	0.29296875	(/.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Samples

43.0ms	97×	1	exit
29.0ms	159×	0	valid

Compiler

Compiled 251 to 27 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sqrt: 21.0ms (37.8% of total)

ival-div: 12.0ms (21.6% of total)

adjust: 6.0ms (10.8% of total)

ival-add: 6.0ms (10.8% of total)

ival-sub: 5.0ms (9% of total)

ival-mult: 3.0ms (5.4% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

12.3MiB live, 49.4MiB allocated

Counts

23 → 504

Calls

Call 1

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

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

126 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(+ (* eps (/ -1/2 x)) x)
0.0ms	eps	@	-inf	(/ (+ (* eps (/ -1/2 x)) (+ x x)) eps)
0.0ms	eps	@	inf	(/ (+ (* eps (/ -1/2 x)) (+ x x)) eps)
0.0ms	x	@	-inf	(/ (+ (* eps (/ -1/2 x)) (+ x x)) eps)
0.0ms	eps	@	0	(/ (+ (* eps (/ -1/2 x)) (+ x x)) eps)

simplify262.0ms (2.4%)

Memory

7.0MiB live, 360.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 734×	`lower-fma.f64`
9 734×	`lower-fma.f32`
6 080×	`lower-*.f64`
6 080×	`lower-*.f32`
2 418×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	521	7594
1	1637	7199
2	5498	7045
0	8604	6616

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 447

Calls

Call 1

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

rewrite543.0ms (4.9%)

Memory

-158.8MiB live, 546.9MiB allocated

Rules

4 968×	`lower-/.f32`
4 956×	`lower-/.f64`
3 742×	`lower-*.f32`
3 740×	`lower-*.f64`
2 526×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	286
0	64	248
1	288	198
2	2356	198
0	8651	198

Stop Event

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

Counts

23 → 981

Calls

Call 1

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

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

eval213.0ms (1.9%)

Memory: 44.9MiB live, 382.3MiB allocated
Compiler: Compiled 51 291 to 4 542 computations (91.1% saved)

prune254.0ms (2.3%)

Memory

-35.9MiB live, 343.1MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 582	4	1 586
Fresh	2	4	6
Picked	3	2	5
Done	2	2	4
Total	1 589	12	1 601

Accuracy

100.0%

Counts

1 601 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (- ( x x) eps) (neg.f64 eps)) (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))) (fma.f64 x x (fma.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) #s(approx (- (* x x) eps) (neg.f64 eps)))))
	48.7%	(/.f64 (.f64 eps eps) (.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
	99.5%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
✓	63.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	26.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (.f64 eps #s(approx (+ ( x (/ x eps)) -1) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))))
✓	59.0%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	7.1%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
	43.1%	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
✓	3.3%	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) (+.f64 x x))
	4.3%	#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) #s(literal 0 binary64))
	40.9%	#s(approx (/ (* (+ (* x x) (- (* x x) eps)) (- (+ (* x x) eps) (* x x))) (* (+ x (sqrt (- (* x x) eps))) (+ (* x x) (- (* x x) eps)))) (/.f64 (.f64 eps (fma.f64 eps (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) x))

Compiler

Compiled 930 to 248 computations (73.3% saved)

regimes37.0ms (0.3%)

Memory

24.8MiB live, 60.7MiB allocated

Counts

38 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	eps
10.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
10.0ms	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 16 to 10 computations (37.5% saved)

regimes15.0ms (0.1%)

Memory

-19.8MiB live, 16.1MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
86.9%	2	`x`
82.7%	2	`eps`
99.1%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes4.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.1%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.0%	1	`eps`
59.0%	1	`x`
60.5%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

-23.5MiB live, 12.7MiB allocated

Accuracy

Total -0.8b remaining (-1.4%)

Threshold costs -0.8b (-1.4%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) #s(literal 0 binary64))

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

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

Outputs
#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) #s(literal 0 binary64))

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
2.0ms	eps

Results

Accuracy	Segments	Branch
4.3%	1	`x`
4.3%	1	`eps`
4.3%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.106865877197543e-153	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.106865877197543e-153	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.106865877197543e-153	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
1	41	141
2	50	141
3	55	141
4	57	141

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) #s(literal 0 binary64)))
#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) #s(literal 0 binary64))

Outputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) #s(literal 0 binary64)))
#s(approx (/ (- (+ (* x x) eps) (* x x)) (+ x (sqrt (- (* x x) eps)))) #s(literal 0 binary64))

soundness700.0ms (6.3%)

Memory

9.6MiB live, 523.7MiB allocated

Rules

11 334×	`lower-fma.f64`
11 334×	`lower-fma.f32`
11 222×	`lower-fma.f64`
11 222×	`lower-fma.f32`
5 834×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	378
0	84	358
1	349	320
2	2813	320
0	8777	316
0	6	22
0	10	22
1	42	22
2	310	22
3	3602	22
0	8549	22
0	632	8030
1	1979	7756
2	6605	7629
0	8487	7232
0	257	1257
1	784	1238
2	2594	1200
3	6944	1197
0	8091	1129
0	37	286
0	64	248
1	288	198
2	2356	198
0	8651	198

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

Compiler

Compiled 222 to 90 computations (59.5% saved)

preprocess47.0ms (0.4%)

Memory: 13.0MiB live, 88.8MiB allocated
Compiler: Compiled 206 to 66 computations (68% 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%)

analyze15.0ms (0.1%)

sample1.3s (12.1%)

explain415.0ms (3.7%)

preprocess31.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize30.0ms (0.3%)

series9.0ms (0.1%)

simplify296.0ms (2.7%)

rewrite246.0ms (2.2%)

eval124.0ms (1.1%)

prune62.0ms (0.6%)

simplify335.0ms (3%)

localize218.0ms (2%)

series53.0ms (0.5%)

simplify319.0ms (2.9%)

rewrite419.0ms (3.8%)

eval330.0ms (3%)

prune214.0ms (1.9%)

simplify956.0ms (8.6%)

localize1.4s (12.7%)

series35.0ms (0.3%)

simplify403.0ms (3.6%)

rewrite461.0ms (4.1%)

eval217.0ms (2%)

prune441.0ms (4%)

simplify475.0ms (4.3%)

localize107.0ms (1%)

series34.0ms (0.3%)

simplify262.0ms (2.4%)

rewrite543.0ms (4.9%)

eval213.0ms (1.9%)

prune254.0ms (2.3%)

regimes37.0ms (0.3%)

regimes15.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness700.0ms (6.3%)

preprocess47.0ms (0.4%)

end0.0ms (0%)

Profiling

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

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