Metrics for ENA, Section 1.4, Exercise 4d

analyze16.0ms (0.1%)

Memory

-5.8MiB live, 30.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.3s (9.2%)

Memory

51.3MiB live, 1 808.2MiB allocated

Samples

371.0ms	4 990×	0	valid
305.0ms	2 682×	1	valid
191.0ms	584×	2	valid
10.0ms	168×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 657.0ms

ival-sub: 232.0ms (35.3% of total)

ival-<=: 139.0ms (21.1% of total)

ival-sqrt: 98.0ms (14.9% of total)

ival-mult: 95.0ms (14.5% of total)

adjust: 53.0ms (8.1% of total)

ival-and: 20.0ms (3% of total)

exact: 17.0ms (2.6% of total)

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

Bogosity

preprocess39.0ms (0.3%)

Memory

-7.0MiB live, 79.2MiB 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)))

explain92.0ms (0.6%)

Memory

14.4MiB live, 172.3MiB 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

18.0ms	168×	1	valid
16.0ms	310×	0	valid
5.0ms	34×	2	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sub: 7.0ms (32.4% of total)

ival-sqrt: 6.0ms (27.8% of total)

ival-mult: 5.0ms (23.1% of total)

adjust: 3.0ms (13.9% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify13.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.4%)

Memory

-4.0MiB live, 34.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 x x) eps)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	accuracy	62.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

25.0ms	155×	0	valid
11.0ms	84×	1	valid
5.0ms	17×	2	valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 19.0ms (60.2% of total)

ival-sqrt: 5.0ms (15.8% of total)

ival-sub: 5.0ms (15.8% of total)

adjust: 2.0ms (6.3% of total)

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

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

series8.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- x (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)>
#<alt (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)>
#<alt (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))>
#<alt (* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))>
#<alt x>
#<alt (+ x (* -1/2 (/ eps x)))>
#<alt (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))>
#<alt (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))>
#<alt (* -1 eps)>
#<alt (- (pow x 2) eps)>
#<alt (- (pow x 2) eps)>
#<alt (- (pow x 2) eps)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

21 calls:

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

rewrite340.0ms (2.4%)

Memory

-29.2MiB live, 526.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 224

Calls

Call 1

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

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

simplify674.0ms (4.8%)

Memory

-7.9MiB live, 590.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

eval42.0ms (0.3%)

Memory: -7.5MiB live, 110.8MiB allocated
Compiler: Compiled 9 595 to 1 049 computations (89.1% saved)

prune69.0ms (0.5%)

Memory

-10.5MiB live, 110.1MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	296	10	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	296	11	307

Accuracy

99.8%

Counts

307 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(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))))))
▶	41.2%	(/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x)
	32.4%	(/.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)
	62.3%	(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
▶	62.3%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
	44.9%	(/.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)))))
▶	43.6%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
	62.2%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	62.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	59.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	3.6%	(-.f64 x (neg.f64 x))

Compiler

Compiled 408 to 176 computations (56.9% saved)

simplify228.0ms (1.6%)

Memory

16.5MiB live, 453.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	cost-diff	0	(/.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	cost-diff	128	(neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
✓	cost-diff	2944	(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))))))
✓	cost-diff	0	(.f64 #s(literal 1/8 binary64) (.f64 eps 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	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	(*.f64 eps #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	128	(-.f64 x (neg.f64 x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 (*.f64 x x) eps)
✓	cost-diff	256	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
✓	cost-diff	896	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))

Rules

7 402×	`lower-fma.f32`
7 398×	`lower-fma.f64`
1 928×	`lower-+.f32`
1 926×	`lower-+.f64`
1 900×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	218
0	47	210
1	95	209
2	185	194
3	565	181
4	1795	181
5	4174	181
6	7400	181
0	8124	179

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (0.9%)

Memory

11.5MiB live, 249.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	accuracy	99.8%	(/.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	accuracy	99.5%	(/.f64 (-.f64 (.f64 x x) eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	accuracy	62.7%	(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))))))
✓	accuracy	100.0%	(.f64 #s(literal 1/8 binary64) (.f64 eps eps))
✓	accuracy	100.0%	(fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x)))
✓	accuracy	99.8%	(/.f64 (fma.f64 eps #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))) x)
✓	accuracy	57.0%	(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 eps eps)) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 eps #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 x (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	accuracy	100.0%	(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
✓	accuracy	99.6%	(/.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
✓	accuracy	63.1%	(-.f64 (-.f64 (.f64 x x) eps) (.f64 x x))

Samples

34.0ms	84×	1	valid
28.0ms	155×	0	valid
10.0ms	17×	2	valid

Compiler

Compiled 220 to 28 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 15.0ms (29.2% of total)

ival-mult: 13.0ms (25.3% of total)

ival-sub: 6.0ms (11.7% of total)

ival-add: 5.0ms (9.7% of total)

adjust: 4.0ms (7.8% of total)

ival-neg: 4.0ms (7.8% of total)

ival-sqrt: 3.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.5%)

Memory

-7.4MiB live, 67.0MiB allocated

Counts

19 → 396

Calls

Call 1

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

Outputs
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (+ x (* -1 (* (sqrt eps) (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))>
#<alt (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))>
#<alt (* -1 eps)>
#<alt (- (pow x 2) eps)>
#<alt (- (pow x 2) eps)>
#<alt (- (pow x 2) eps)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (+ (* -1 eps) (pow x 2))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* eps (- (/ (pow x 2) eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
#<alt (* 1/2 (/ eps x))>
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#<alt (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))>
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#<alt (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
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#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))>
#<alt (* 1/2 eps)>
#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt (* 1/2 eps)>
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#<alt (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))>
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
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#<alt (* 1/8 (/ (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))>
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#<alt (* 1/8 (/ (pow eps 2) (pow x 3)))>
#<alt (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))>
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#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
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#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
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#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
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#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (/ (pow eps 2) (pow x 2)))>
#<alt (* 1/8 (pow eps 2))>
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#<alt (* 1/8 (pow eps 2))>
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#<alt (* 1/8 (pow eps 2))>
#<alt (* 1/8 (pow eps 2))>
#<alt (* 1/8 (pow eps 2))>
#<alt (* 1/8 (pow eps 2))>
#<alt (* 1/8 (pow eps 2))>
#<alt (* 1/8 (pow eps 2))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (* 1/2 (/ eps x))>
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#<alt (* 2 x)>
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#<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)))))))))>
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#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- x (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* x (- (* x (- (* x (- (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (/ 1 (* eps (pow (sqrt -1) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (* -1/2 x)>
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#<alt (* x (- (+ (* -1/8 (/ eps (pow x 2))) (+ (* -1/16 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (+ 1/2 (* -1/8 (/ (pow eps 2) (pow x 4))))))>
#<alt (* x (- (+ (* -1/8 (/ eps (pow x 2))) (+ (* -1/16 (/ (pow eps 2) (pow x 4))) (+ (* -1/32 (/ (pow eps 3) (pow x 6))) (+ (* -1/128 (/ (pow eps 3) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))) (+ 1/2 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* -2 (/ (pow x 3) eps))>
#<alt (* -1 (* (pow x 3) (- (* 2 (/ 1 eps)) (* 5/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))) (+ (* -1/2 (/ eps (pow x 4))) (* 5/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 2) (pow x 6)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* -1/4 (/ (* eps (+ (* -1/4 eps) (* 1/8 eps))) (pow x 6))) (+ (* 1/16 (/ (pow eps 2) (pow x 6))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps))))))) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 6))) (* 5/2 (/ 1 (pow x 2)))))))))>
#<alt (* -1/2 x)>
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#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
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#<alt (- (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ (pow x 3) (* eps (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))) (/ x (pow (sqrt -1) 2))))))>
#<alt (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ (pow x 3) (* eps (pow (sqrt -1) 2)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1/2 (/ (pow x 3) (* eps (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))) (/ x (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 (/ (- (* -1 (* eps x)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 (/ (- (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* eps (pow x 3))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 (/ (- (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* eps (pow x 3))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (pow eps 2) (pow x 3))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1))))))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))) eps))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) (* (sqrt eps) (sqrt -1)))>
#<alt (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))>
#<alt (* x (+ (* -1 (/ x (* eps (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))>
#<alt (* x (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))>
#<alt (* x (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (- (+ 1/2 (* 1/16 (/ (pow eps 2) (pow x 4)))) (* -1/8 (/ eps (pow x 2))))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3))) (pow x 6)))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4)))))>
#<alt (* 2 (/ (pow x 2) eps))>
#<alt (* (pow x 2) (- (* 2 (/ 1 eps)) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -1/8 eps) (* 1/4 eps)) (pow x 4))) (* 2 (/ 1 eps))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -1/4 (* eps (+ (* -1/8 eps) (* 1/4 eps)))) (+ (* -1/16 (pow eps 2)) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))))) (pow x 6))) (* 2 (/ 1 eps))) (+ (* -1/8 (/ eps (pow x 4))) (+ (* 1/4 (/ eps (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ eps (pow x 2))))>
#<alt (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (+ 1/2 (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 6))) (* 1/16 (/ 1 (pow x 4))))) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))>
#<alt (/ (+ (* -1 (/ (pow x 2) (pow (sqrt -1) 2))) (* (sqrt eps) (/ x (sqrt -1)))) eps)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 3) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ x (sqrt -1)))) (/ (pow x 2) (pow (sqrt -1) 2))) eps)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 3) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 4)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ x (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 3) (pow (sqrt -1) 3)))) (/ (pow x 2) (pow (sqrt -1) 2))))) eps)>
#<alt (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))>
#<alt (* -1 (/ (+ (* -1 (pow x 2)) (* (sqrt eps) (* x (sqrt -1)))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt eps) (* (pow x 3) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) (* -1 (* eps (pow x 2)))) eps)) (* (sqrt eps) (* x (sqrt -1)))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 3) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 3) (sqrt -1))))))))) (* -1/2 (* eps (pow x 4)))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 3) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 3) (sqrt -1)))))) eps)) (* -1 (* eps (pow x 2)))) eps)) (* (sqrt eps) (* x (sqrt -1)))) eps))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ x (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))>
#<alt (* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* 1/2 (/ eps x))>
#<alt (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))>
#<alt (* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))>
#<alt (* 2 x)>
#<alt (+ (* -1/2 (/ eps x)) (* 2 x))>
#<alt (+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))>
#<alt (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))>
#<alt (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 x) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (* -2 x)>
#<alt (* x (- (* 1/2 (/ eps (pow x 2))) 2))>
#<alt (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -1/2 (/ eps x))>
#<alt (* -1 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x))>
#<alt (* -1 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))>
#<alt (* -2 x)>
#<alt (- (* 1/2 (/ eps x)) (* 2 x))>
#<alt (- (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (- (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))>
#<alt (* eps (- (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* -1 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))>
#<alt x>
#<alt (+ x (* -1/2 (/ eps x)))>
#<alt (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))>
#<alt (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))>
#<alt (* -1 (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (+ (* -1 (* x (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* (sqrt (/ 1 eps)) (/ (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (- (+ 1/2 (* -1/2 (/ eps (pow x 2)))) (* -1/8 (/ eps (pow x 2)))))>
#<alt (* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))) (pow x 4))) (* -1/2 (/ eps (pow x 2))))) (* -1/8 (/ eps (pow x 2)))))>
#<alt (* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (* (pow eps 2) (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/64 (pow eps 3)) (* 1/4 (* eps (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))))))) (pow x 6))) (* -1/2 (/ eps (pow x 2))))) (+ (* -1/4 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/32 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* 2 (/ (pow x 3) eps))>
#<alt (* -1 (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps)))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 5/8 eps)) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps)))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 5/8 eps)))) (* 5/16 (pow eps 2)))) (pow x 6))) (* 5/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 5/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))))))>
#<alt (* 1/2 x)>
#<alt (+ (* -3/8 (/ eps x)) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* eps (- (* -1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x)))))>
#<alt (+ (* 1/2 x) (* eps (- (* eps (- (* -3/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 3/8 (/ 1 x)))))>
#<alt (* -1 (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (pow eps 2))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (* -1 (/ x (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* eps (* (pow x 2) (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) (pow eps 3))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ (* -1 (/ (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))))))))))) (* -1/2 (* (pow x 2) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))>

Calls

99 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(- x (neg x))
13.0ms	x	@	inf	(/ (- (* x x) eps) (+ x (sqrt (- (* x x) eps))))
2.0ms	x	@	-inf	(/ (+ (* eps 1/2) (/ (* 1/8 (* eps eps)) (* x x))) x)
2.0ms	eps	@	-inf	(/ (- (- (* x x) eps) (* x x)) (- (neg (sqrt (- (* x x) eps))) x))
2.0ms	eps	@	-inf	(+ (* x (/ x (+ x (sqrt (- (* x x) eps))))) (neg (/ (- (* x x) eps) (+ x (sqrt (- (* x x) eps))))))

rewrite488.0ms (3.5%)

Memory

6.1MiB live, 733.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 722×	`lower-/.f32`
4 710×	`lower-/.f64`
4 442×	`lower-*.f32`
4 434×	`lower-*.f64`
3 440×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	179
0	47	171
1	210	148
2	1912	142
0	8491	141

Stop Event

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

Counts

19 → 1 319

Calls

Call 1

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

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

simplify441.0ms (3.1%)

Memory

14.8MiB live, 906.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 208×	`lower-fma.f64`
10 208×	`lower-fma.f32`
6 010×	`lower-+.f64`
6 010×	`lower-+.f32`
5 540×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	964	6638
1	3179	6068
0	8272	5802

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 394

Calls

Call 1

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

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

eval803.0ms (5.7%)

Memory: 32.8MiB live, 794.7MiB allocated
Compiler: Compiled 99 161 to 5 535 computations (94.4% saved)

prune2.4s (16.7%)

Memory

-10.0MiB live, 565.1MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2 388	3	2 391
Fresh	3	2	5
Picked	4	1	5
Done	0	1	1
Total	2 395	7	2 402

Accuracy

100.0%

Counts

2 402 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.4%	(/.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)
▶	20.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)))) (.f64 (/.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))))))
✓	43.6%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
▶	99.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
✓	62.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	59.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	3.6%	(+.f64 x x)

Compiler

Compiled 309 to 109 computations (64.7% saved)

simplify378.0ms (2.7%)

Memory

-29.0MiB live, 774.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(.f64 #s(literal 1 binary64) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
✓	cost-diff	1664	(-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
✓	cost-diff	3008	(-.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps))))
✓	cost-diff	8192	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)))) (.f64 (/.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))))))
✓	cost-diff	0	(/.f64 (.f64 eps eps) (.f64 x x))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps eps) (.f64 x x)) (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)
✓	cost-diff	320	(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)))
✓	cost-diff	832	(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))))
✓	cost-diff	0	(neg.f64 eps)
✓	cost-diff	0	(sqrt.f64 (neg.f64 eps))
✓	cost-diff	0	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	cost-diff	0	(-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
✓	cost-diff	0	(neg.f64 eps)
✓	cost-diff	256	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))

Rules

10 008×	`lower-fma.f32`
10 004×	`lower-fma.f64`
3 712×	`lower-*.f32`
3 690×	`lower-*.f64`
2 202×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	505
0	68	491
1	159	413
2	544	358
3	2368	343
4	6316	339
0	8421	334

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (1.1%)

Memory

5.3MiB live, 242.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	87.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)))) (.f64 (/.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))))))
✓	accuracy	84.4%	(-.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps))))
✓	accuracy	82.9%	(.f64 (/.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)))))
✓	accuracy	69.0%	(.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	90.6%	(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))))
✓	accuracy	61.3%	(/.f64 (.f64 eps eps) (.f64 x x))
✓	accuracy	56.6%	(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)))
✓	accuracy	100.0%	(sqrt.f64 (neg.f64 eps))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	accuracy	99.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))

Samples

43.0ms	153×	0	valid
20.0ms	60×	0	invalid
17.0ms	35×	1	valid
7.0ms	6×	2	valid
2.0ms	2×	3	valid

Compiler

Compiled 507 to 40 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 21.0ms (35.6% of total)

ival-div: 12.0ms (20.3% of total)

ival-sub: 12.0ms (20.3% of total)

ival-add: 5.0ms (8.5% of total)

ival-sqrt: 4.0ms (6.8% of total)

adjust: 3.0ms (5.1% of total)

ival-neg: 3.0ms (5.1% of total)

exact: 1.0ms (1.7% of total)

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

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

series100.0ms (0.7%)

Memory

6.3MiB live, 125.9MiB allocated

Counts

19 → 408

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ eps x))>
#<alt (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (+ x (* -1 (* (sqrt eps) (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))>
#<alt (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))>
#<alt (* (sqrt eps) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))>
#<alt (* 1/2 (/ eps x))>
#<alt (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)>
#<alt (/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))>
#<alt (* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1 x) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* x (- (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))>
#<alt (* -2 x)>
#<alt (* x (- (* 1/2 (/ eps (pow x 2))) 2))>
#<alt (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -1/2 (/ eps x))>
#<alt (* -1 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x))>
#<alt (* -1 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))>
#<alt (* -2 x)>
#<alt (- (* 1/2 (/ eps x)) (* 2 x))>
#<alt (- (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (- (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* 2 x))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))>
#<alt (* eps (- (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* -1 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (- (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))>
#<alt (- (* (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)))>
#<alt (- (* (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)))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ eps (pow x 2))) 1))>
#<alt (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 1 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 1 (* -1/2 (/ eps (pow x 2)))))))>
#<alt (* -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))))))))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ eps x)) x)>
#<alt (- (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) x)>
#<alt (- (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) x)>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* eps (- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (- (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* eps (- (* -1/16 (* (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))))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* -1 (* eps (- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
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#<alt (* eps (+ (* -1/8 (/ (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) x)) (* eps (- (+ (* -1/8 (/ (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x)) (* eps (- (* 1/8 (/ (- (* 5/16 (/ 1 (pow x 4))) (+ (* -1/8 (/ (- (* -1/2 x) (* 2 x)) (pow x 5))) (* 1/4 (/ 1 (pow x 4))))) x)) (* 1/8 (/ (* (+ (* -4 x) (* -2 x)) (- (* -1/8 (/ (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x)) (* -1/64 (/ (* (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) (+ (* -4 x) (* -2 x))) (pow x 4))))) (pow x 3)))))) (* -1/64 (/ (* (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) (+ (* -4 x) (* -2 x))) (pow x 4)))))))>
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#<alt 0>
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#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (- (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) (+ 3/2 (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2)))))) eps)) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps)))) eps)) (/ 1 (* eps (pow x 2))))))>
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#<alt (* -1 (* (sqrt (pow eps 3)) (sqrt -1)))>
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#<alt (* (pow x 3) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/8 (/ (pow eps 3) (pow x 6))) (* 2 (/ eps (pow x 2)))))))>
#<alt (* 1/2 (* eps x))>
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#<alt (* -1 (* x (- (+ (* -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)))))) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* -1/8 (/ (pow eps 3) (pow x 4))) (* -1/16 (/ (pow eps 4) (pow x 6))))))))>
#<alt (* 2 (pow x 3))>
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#<alt (* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))) (/ (pow x 3) (pow eps 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))>
#<alt (* (sqrt (pow eps 3)) (sqrt -1))>
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#<alt (* eps (pow (sqrt -1) 2))>
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#<alt (* 4 (pow x 2))>
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#<alt (* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 6))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))))>
#<alt (* 1/4 (/ (pow eps 2) (pow x 2)))>
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#<alt (/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))))) (pow x 2))>
#<alt (/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/64 (/ (pow eps 5) (pow x 6))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (+ (* 1/4 (pow eps 2)) (* 1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6)))))))) (pow x 2))>
#<alt (* 4 (pow x 2))>
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#<alt (* eps (pow (sqrt -1) 2))>
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#<alt (* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 3) (sqrt -1))) (/ (pow (sqrt -1) 2) eps)))))>
#<alt (* -1 eps)>
#<alt (* (pow eps 2) (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))>
#<alt (* (pow eps 2) (- (* -1 (/ (+ (* -2 (/ (pow x 2) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))>
#<alt (* (pow eps 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))>
#<alt (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))>
#<alt x>
#<alt (+ x (* -1/2 (/ eps x)))>
#<alt (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))>
#<alt (* (sqrt eps) (sqrt -1))>
#<alt (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))>
#<alt (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt eps) (sqrt -1)))>
#<alt (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))>
#<alt (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))>
#<alt (* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -1 (/ (* (pow eps 2) (pow (sqrt -1) 2)) (pow x 2)))>
#<alt (/ (+ (* -2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -1 (* (pow eps 2) (pow (sqrt -1) 2)))) (pow x 2))>
#<alt (/ (+ (* -1 (* (pow eps 2) (pow (sqrt -1) 2))) (* x (+ (* -2 (* (sqrt (pow eps 3)) (sqrt -1))) (* x (+ (* -1 eps) (+ (* -1/2 eps) (* (sqrt eps) (* (sqrt -1) (- (* (sqrt eps) (sqrt -1)) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1))))))))))))) (pow x 2))>
#<alt (/ (+ (* -1 (* (pow eps 2) (pow (sqrt -1) 2))) (* x (+ (* -2 (* (sqrt (pow eps 3)) (sqrt -1))) (* x (+ (* -1 eps) (+ (* -1/2 eps) (+ (* x (- (+ (* -1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* 2 (* (sqrt eps) (sqrt -1)))) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))))) (* (sqrt eps) (* (sqrt -1) (- (* (sqrt eps) (sqrt -1)) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))))))))))))) (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (+ (* -1 (/ eps (pow x 2))) (* 2 (/ (- (* -1/2 eps) (* 2 eps)) (pow x 2))))))>
#<alt (* (pow x 2) (+ 4 (+ (* -1 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* 2 eps))) (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (+ (* 2 (/ (- (* -1/2 eps) (* 2 eps)) (pow x 2))) (* 2 (/ (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))) (pow x 4)))))))))>
#<alt (* (pow x 2) (+ 4 (+ (* -1 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* 2 eps))) (pow x 4))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 6))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/2 eps) (* 2 eps))) (pow x 6))) (+ (* -1/8 (/ (pow eps 3) (pow x 6))) (+ (* 2 (/ (- (* -1/2 eps) (* 2 eps)) (pow x 2))) (+ (* 2 (/ (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))) (pow x 4))) (* 2 (/ (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))) (pow x 6)))))))))))))>
#<alt (* 1/4 (/ (pow eps 2) (pow x 2)))>
#<alt (/ (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 2))) (+ (* 1/16 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 4))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* 1/32 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))))))) (pow x 2))>
#<alt (/ (+ (* -1/2 (/ (* eps (- (* -1/2 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (* -1/16 (pow eps 4)))) (pow x 6))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 4))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 6))) (+ (* -1/16 (/ (* (pow eps 3) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 6))) (+ (* 1/32 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 3) (pow x 2))) (+ (* 1/4 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (* 1/4 (pow eps 2))))))))))) (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (+ (* 4 (pow x 2)) (* eps (- (* 2 (/ (- (* -1/2 x) (* 2 x)) x)) 1)))>
#<alt (+ (* 4 (pow x 2)) (* eps (- (+ (* 2 (/ (- (* -1/2 x) (* 2 x)) x)) (* eps (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))) 1)))>
#<alt (+ (* 4 (pow x 2)) (* eps (- (+ (* 2 (/ (- (* -1/2 x) (* 2 x)) x)) (* eps (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* eps (- (+ (* -1/8 (/ (- (* -1/2 x) (* 2 x)) (pow x 5))) (* 1/8 (/ 1 (pow x 4)))) (* 5/16 (/ 1 (pow x 4))))))))) 1)))>
#<alt (* -1 (/ (* (pow eps 2) (pow (sqrt -1) 2)) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x))) (+ (* -1 (/ (pow (sqrt -1) 2) (* eps (pow x 2)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2))))))>
#<alt (* (pow eps 3) (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x))) (+ (* -1 (/ (pow (sqrt -1) 2) (* eps (pow x 2)))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1))) (* (sqrt (/ 1 (pow eps 5))) (/ (* (sqrt -1) (- (pow x 3) (* 1/2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))))) (pow x 2))))))) (/ 3/2 (pow eps 2))))>
#<alt (* (pow eps 3) (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x))) (+ (* -1 (/ (pow (sqrt -1) 2) (* eps (pow x 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x) (sqrt -1)))) (+ (* 1/2 (/ (pow x 2) (pow eps 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1))) (+ (* (sqrt (/ 1 (pow eps 5))) (/ (* (sqrt -1) (- (pow x 3) (* 1/2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))))) (pow x 2))) (/ (pow x 2) (pow eps 3))))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ x (sqrt -1)))) (/ 3/2 (pow eps 2)))))>
#<alt (/ (pow eps 2) (pow x 2))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2)))) eps)) (/ 1 (* eps (pow x 2))))))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ 3/2 (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2))))) eps)) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))))) eps)) (/ 1 (* eps (pow x 2))))))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ 3/2 (+ (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))))) (+ (* 1/2 (pow x 2)) (pow x 2))) (* -1/2 (* (sqrt eps) (* x (sqrt -1))))) eps)) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2)))))) eps)) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))))) eps)) (/ 1 (* eps (pow x 2))))))>
#<alt (* (sqrt (pow eps 3)) (/ (pow (sqrt -1) 3) (pow x 2)))>
#<alt (/ (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2)))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (pow x 2))>
#<alt (/ (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (pow x 2))>
#<alt (/ (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (+ (* 4 x) (* 4 (* (sqrt eps) (sqrt -1))))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (pow x 2))>
#<alt (* 8 x)>
#<alt (* x (+ 8 (+ (* -4 (/ eps (pow x 2))) (* -2 (/ eps (pow x 2))))))>
#<alt (* x (+ 8 (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (/ (pow eps 2) (pow x 4))))))))>
#<alt (* x (+ 8 (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 3) (pow x 6))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* 2 (/ (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (pow x 6))) (/ (pow eps 2) (pow x 4))))))))))))>
#<alt (* 1/8 (/ (pow eps 3) (pow x 5)))>
#<alt (* -1 (/ (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (* -1/32 (/ (pow eps 4) (pow x 2))))) (pow x 5)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (* -1/32 (/ (pow eps 5) (pow x 4))))))) (pow x 5)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))) (pow x 6))) (+ (* -1/4 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 5) (pow x 4))) (* -1/128 (/ (pow eps 6) (pow x 6)))))))))) (pow x 5)))>
#<alt (* 8 x)>
#<alt (+ (* -6 (/ eps x)) (* 8 x))>
#<alt (+ (* 8 x) (* eps (- (* -1/8 (/ (pow eps 2) (pow x 5))) (* 6 (/ 1 x)))))>
#<alt (+ (* 8 x) (* eps (- (* (pow eps 2) (- (* -3/32 (/ eps (pow x 7))) (* 1/8 (/ 1 (pow x 5))))) (* 6 (/ 1 x)))))>
#<alt (* (sqrt (pow eps 3)) (/ (pow (sqrt -1) 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 2 (/ (pow (sqrt -1) 2) (* (pow eps 2) x))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (pow (sqrt -1) 3) (pow x 2))) (/ (pow (sqrt -1) 2) (* (pow eps 2) x)))))>
#<alt (* (pow eps 3) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (+ (* 2 (/ (pow (sqrt -1) 2) (* (pow eps 2) x))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (pow (sqrt -1) 3) (pow x 2))) (/ (pow (sqrt -1) 2) (* (pow eps 2) x)))))))>
#<alt (* (pow eps 3) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (+ (* 2 (/ (pow (sqrt -1) 2) (* (pow eps 2) x))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (+ (* 4 (/ x (pow eps 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (pow (sqrt -1) 3) (pow x 2))) (/ (pow (sqrt -1) 2) (* (pow eps 2) x))))))))>
#<alt (* -1 (* (sqrt (pow eps 3)) (/ (sqrt -1) (pow x 2))))>
#<alt (* -1 (* (pow eps 3) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) (pow x 2))) (* 3 (/ 1 (* (pow eps 2) x))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 4 (* (sqrt (/ 1 eps)) (sqrt -1)))) eps)) (* 3 (/ 1 (* eps x)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) (pow x 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (+ (* -4 (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 4 (* (sqrt (/ 1 eps)) (sqrt -1))))) eps)) (* 3 (/ 1 (* eps x)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) (pow x 2))))))>

Calls

102 calls:

Time	Variable		Point	Expression
19.0ms	eps	@	-inf	(/ (- (* 1 (* (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (- (* x x) eps))))) (* (/ (+ x (sqrt (- (* x x) eps))) (* x x)) (- (* (* x x) (+ x (sqrt (- (* x x) eps)))) (* (+ x (sqrt (- (* x x) eps))) eps)))) (* (/ (+ x (sqrt (- (* x x) eps))) (* x x)) (* (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (- (* x x) eps))))))
11.0ms	x	@	-inf	(/ (- (* 1 (* (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (- (* x x) eps))))) (* (/ (+ x (sqrt (- (* x x) eps))) (* x x)) (- (* (* x x) (+ x (sqrt (- (* x x) eps)))) (* (+ x (sqrt (- (* x x) eps))) eps)))) (* (/ (+ x (sqrt (- (* x x) eps))) (* x x)) (* (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (- (* x x) eps))))))
7.0ms	x	@	0	(/ (- (* 1 (* (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (- (* x x) eps))))) (* (/ (+ x (sqrt (- (* x x) eps))) (* x x)) (- (* (* x x) (+ x (sqrt (- (* x x) eps)))) (* (+ x (sqrt (- (* x x) eps))) eps)))) (* (/ (+ x (sqrt (- (* x x) eps))) (* x x)) (* (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (- (* x x) eps))))))
6.0ms	eps	@	inf	(/ (- (* 1 (* (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (- (* x x) eps))))) (* (/ (+ x (sqrt (- (* x x) eps))) (* x x)) (- (* (* x x) (+ x (sqrt (- (* x x) eps)))) (* (+ x (sqrt (- (* x x) eps))) eps)))) (* (/ (+ x (sqrt (- (* x x) eps))) (* x x)) (* (+ x (sqrt (- (* x x) eps))) (+ x (sqrt (- (* x x) eps))))))
6.0ms	eps	@	inf	(sqrt (neg eps))

rewrite505.0ms (3.6%)

Memory

7.2MiB live, 744.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 368×	`lower-*.f32`
6 346×	`lower-*.f64`
3 904×	`lower-/.f32`
3 892×	`lower-/.f64`
2 674×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	386
0	68	331
1	298	263
2	2757	250
0	9328	235

Stop Event

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

Counts

19 → 942

Calls

Call 1

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

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

simplify439.0ms (3.1%)

Memory

11.6MiB live, 744.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 566×	`lower-fma.f64`
7 566×	`lower-fma.f32`
5 980×	`lower-*.f64`
5 980×	`lower-*.f32`
4 962×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1733	13910
1	5808	13429
0	8396	12742

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 403

Calls

Call 1

Inputs
(* 1/2 (/ eps x))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* (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 eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* 1/2 (/ eps x))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 4))) (+ (* 1/2 (/ eps (pow x 2))) (* 2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6))))))))) 2)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 (* (sqrt eps) (sqrt -1)))
(- (* -1 x) (* (sqrt eps) (sqrt -1)))
(- (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))) 1)) (* (sqrt eps) (sqrt -1)))
(- (* x (- (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) 1)) (* (sqrt eps) (sqrt -1)))
(* -2 x)
(* x (- (* 1/2 (/ eps (pow x 2))) 2))
(* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))
(* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1/2 (/ eps x))
(* -1 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x))
(* -1 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* -2 x)
(- (* 1/2 (/ eps x)) (* 2 x))
(- (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (* 2 x))
(- (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* 2 x))
(* -1 (* (sqrt eps) (sqrt -1)))
(* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (- (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* (sqrt eps) (sqrt -1))
(* -1 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* (sqrt eps) (sqrt -1)))
(- (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (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) (- (* (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)))
(* -1 x)
(* x (- (* 1/2 (/ eps (pow x 2))) 1))
(* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
x
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 1 (* -1/2 (/ eps (pow x 2)))))))
(* -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))))))))
(* -1 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)))) x)
(* -1 (* (sqrt eps) (sqrt -1)))
(* eps (- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (- (* -1/16 (* (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))
(* -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 (- (* -1/16 (* (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)))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
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(* -1 (* x (- (+ (* -8 (/ (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow eps 3))) (* -8 (/ (- (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (+ (* -1/2 (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/32 (pow eps 4))))) (* (pow eps 3) (pow x 2))))) (* 64 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (* (pow eps 6) (pow x 2)))))))
(* -1 (* x (- (+ (* -8 (/ (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow eps 3))) (+ (* -8 (/ (- (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (+ (* -1/2 (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/32 (pow eps 4))))) (* (pow eps 3) (pow x 2)))) (* -8 (/ (- (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (+ (* -1/2 (* eps (- (* -1/2 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (* -1/16 (pow eps 4))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/16 (* (pow eps 3) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/4 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))))) (* (pow eps 3) (pow x 4)))))) (+ (* -8 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* -8 (/ (- (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (+ (* -1/2 (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/32 (pow eps 4))))) (pow eps 3))) (* 64 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (pow eps 6))))) (* (pow eps 3) (pow x 4)))) (+ (* 64 (/ (* (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (* (pow eps 6) (pow x 4)))) (* 64 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (* (pow eps 6) (pow x 2)))))))))
(* -1 (* x (- (+ (* -8 (/ (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow eps 3))) (+ (* -8 (/ (- (+ (* 1/256 (pow eps 6)) (+ (* 1/8 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* 1/2 (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))))))) (+ (* -1/2 (* eps (- (* -1/2 (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))) (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))))) (+ (* -1/2 (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/2 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (* -1/16 (pow eps 4))))) (+ (* -1/16 (* (pow eps 3) (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (* 1/4 (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))))))))) (* (pow eps 3) (pow x 6)))) (+ (* -8 (/ (- (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (+ (* -1/2 (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/32 (pow eps 4))))) (* (pow eps 3) (pow x 2)))) (* -8 (/ (- (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (+ (* -1/2 (* eps (- (* -1/2 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (* -1/16 (pow eps 4))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/16 (* (pow eps 3) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/4 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))))) (* (pow eps 3) (pow x 4))))))) (+ (* -8 (/ (* (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (- (* -8 (/ (- (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (+ (* -1/2 (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/32 (pow eps 4))))) (pow eps 3))) (* 64 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (pow eps 6))))) (* (pow eps 3) (pow x 6)))) (+ (* -8 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* -8 (/ (- (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (+ (* -1/2 (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/32 (pow eps 4))))) (pow eps 3))) (* 64 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (pow eps 6))))) (* (pow eps 3) (pow x 4)))) (+ (* -8 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* -8 (/ (- (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (+ (* -1/2 (* eps (- (* -1/2 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (* -1/16 (pow eps 4))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/16 (* (pow eps 3) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/4 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))))) (pow eps 3))) (+ (* -8 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* -8 (/ (- (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (+ (* -1/2 (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))))) (+ (* -1/8 (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/32 (pow eps 4))))) (pow eps 3))) (* 64 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (pow eps 6))))) (pow eps 3))) (* 64 (/ (* (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (pow eps 6)))))) (* (pow eps 3) (pow x 6)))) (+ (* 64 (/ (* (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (* (pow eps 6) (pow x 4)))) (+ (* 64 (/ (* (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))))) (+ (* -1/4 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/128 (pow eps 6)))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (* (pow eps 6) (pow x 6)))) (* 64 (/ (* (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3))))) (* (pow eps 6) (pow x 2))))))))))))
(* -1/8 (/ (* eps (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x)))) x))
(* eps (+ (* -1/8 (/ (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) x)) (* eps (- (* -1/8 (/ (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x)) (* -1/64 (/ (* (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) (+ (* -4 x) (* -2 x))) (pow x 4)))))))
(* eps (+ (* -1/8 (/ (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) x)) (* eps (- (+ (* -1/8 (/ (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x)) (* eps (- (* 1/8 (/ (- (* 5/16 (/ 1 (pow x 4))) (+ (* -1/8 (/ (- (* -1/2 x) (* 2 x)) (pow x 5))) (* 1/4 (/ 1 (pow x 4))))) x)) (* 1/8 (/ (* (+ (* -4 x) (* -2 x)) (- (* -1/8 (/ (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x)) (* -1/64 (/ (* (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) (+ (* -4 x) (* -2 x))) (pow x 4))))) (pow x 3)))))) (* -1/64 (/ (* (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) (+ (* -4 x) (* -2 x))) (pow x 4)))))))
(* eps (+ (* -1/8 (/ (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) x)) (* eps (- (+ (* -1/8 (/ (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x)) (* eps (- (+ (* 1/8 (/ (- (* 5/16 (/ 1 (pow x 4))) (+ (* -1/8 (/ (- (* -1/2 x) (* 2 x)) (pow x 5))) (* 1/4 (/ 1 (pow x 4))))) x)) (* eps (- (* 1/8 (/ (- (* 5/32 (/ 1 (pow x 6))) (+ (* -1/16 (/ (- (* -1/2 x) (* 2 x)) (pow x 7))) (* 1/8 (/ 1 (pow x 6))))) x)) (+ (* 1/512 (/ (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) (pow x 7))) (* 1/8 (/ (* (+ (* -4 x) (* -2 x)) (- (* 1/8 (/ (- (* 5/16 (/ 1 (pow x 4))) (+ (* -1/8 (/ (- (* -1/2 x) (* 2 x)) (pow x 5))) (* 1/4 (/ 1 (pow x 4))))) x)) (* 1/8 (/ (* (+ (* -4 x) (* -2 x)) (- (* -1/8 (/ (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x)) (* -1/64 (/ (* (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) (+ (* -4 x) (* -2 x))) (pow x 4))))) (pow x 3))))) (pow x 3))))))) (* 1/8 (/ (* (+ (* -4 x) (* -2 x)) (- (* -1/8 (/ (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))) x)) (* -1/64 (/ (* (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) (+ (* -4 x) (* -2 x))) (pow x 4))))) (pow x 3)))))) (* -1/64 (/ (* (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x))) (+ (* -4 x) (* -2 x))) (pow x 4)))))))
(* (sqrt eps) (/ 1 (sqrt -1)))
(- (+ (* (sqrt eps) (/ 1 (sqrt -1))) (* (sqrt eps) (/ (* (pow x 2) (- (/ (pow (sqrt -1) 2) eps) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2)))))) (pow (sqrt -1) 3)))) (+ (* 2 (/ x (pow (sqrt -1) 2))) (/ x (pow (sqrt -1) 2))))
(- (+ (* (sqrt eps) (/ 1 (sqrt -1))) (+ (* (sqrt eps) (/ (* (pow x 2) (- (/ (pow (sqrt -1) 2) eps) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2)))))) (pow (sqrt -1) 3))) (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (- (+ 3/2 (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* 1/2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))))) (pow x 2)))))) (pow (sqrt -1) 3))))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (/ x (pow (sqrt -1) 2))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (/ 1 eps)) (/ (* (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) (- (* (sqrt (pow eps 3)) (/ (* (pow x 2) (- (/ (pow (sqrt -1) 2) eps) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2)))))) (pow (sqrt -1) 3))) (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))) (/ x (pow (sqrt -1) 2)))))))
(- (+ (* (sqrt eps) (/ 1 (sqrt -1))) (+ (* (sqrt eps) (/ (* (pow x 2) (- (/ (pow (sqrt -1) 2) eps) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2)))))) (pow (sqrt -1) 3))) (+ (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (- (+ 3/2 (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* 1/2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))))) (pow x 2)))))) (pow (sqrt -1) 3))) (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* 1/2 (* (sqrt eps) (/ x (sqrt -1)))) (* 2 (pow x 2))) (+ (* 1/2 (* (sqrt eps) (/ (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x) (sqrt -1)))) (+ (* 1/2 (pow x 2)) (pow x 2))))) (pow (sqrt -1) 3)))))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (/ x (pow (sqrt -1) 2))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 4 (/ (pow x 3) (* eps (pow (sqrt -1) 4)))) (+ (* (sqrt (/ 1 eps)) (/ (* (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) (- (* (sqrt (pow eps 3)) (/ (* (pow x 2) (- (/ (pow (sqrt -1) 2) eps) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2)))))) (pow (sqrt -1) 3))) (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (* (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (- (* (sqrt (pow eps 3)) (/ (* (pow x 2) (- (/ (pow (sqrt -1) 2) eps) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2)))))) (pow (sqrt -1) 3))) (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (* (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) (- (* (sqrt (pow eps 3)) (/ (* (pow x 2) (- (+ 3/2 (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* 1/2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))))) (pow x 2)))))) (pow (sqrt -1) 3))) (+ (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 4 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (pow eps 3)) (/ (* (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) (- (* (sqrt (pow eps 3)) (/ (* (pow x 2) (- (/ (pow (sqrt -1) 2) eps) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) x))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2)))))) (pow (sqrt -1) 3))) (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))))))) (pow (sqrt -1) 3))) (/ x (pow (sqrt -1) 2))))))))))
(* -1 (* (sqrt eps) (sqrt -1)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps))))))) (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps))))))) (* -1 (/ (- (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (- (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) (+ 3/2 (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2))))))))) (+ (* -1 (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (* (sqrt (pow eps 3)) (* (sqrt -1) (* (+ (* -2 (/ x eps)) (* -1 (/ x eps))) (- (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps))))))) (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))))))))) eps))) (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps))))))) (* -1 (/ (- (+ (* -1 (/ (- (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (- (+ (* -1/2 (* (sqrt eps) (* x (sqrt -1)))) (* 2 (pow x 2))) (+ (* 1/2 (* (sqrt eps) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))))) (+ (* 1/2 (pow x 2)) (pow x 2))))))) (+ (* -4 (* (pow eps 2) (pow x 3))) (+ (* (sqrt (pow eps 3)) (* (sqrt -1) (* (+ (* -2 (/ x eps)) (* -1 (/ x eps))) (- (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (- (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) (+ 3/2 (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2))))))))) (+ (* -1 (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (* (sqrt (pow eps 3)) (* (sqrt -1) (* (+ (* -2 (/ x eps)) (* -1 (/ x eps))) (- (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps))))))) (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))))))))))))) (* (sqrt (pow eps 3)) (* (sqrt -1) (* (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (- (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps))))))) (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))))))))))) eps)) (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (- (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) (+ 3/2 (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2)))))))))) (+ (* -1 (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (* (sqrt (pow eps 3)) (* (sqrt -1) (* (+ (* -2 (/ x eps)) (* -1 (/ x eps))) (- (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (* (sqrt -1) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps))))))) (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))))))))) eps))) (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))))) eps)))
(/ (* (pow eps 2) (pow (sqrt -1) 2)) (pow x 2))
(/ (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -1 (* (pow eps 2) (pow (sqrt -1) 2)))) (pow x 2))
(/ (- (* x (- (* x (- (* eps (pow (sqrt -1) 2)) (+ (* -1 eps) (+ (* -1/2 eps) (* (sqrt eps) (* (sqrt -1) (- (* (sqrt eps) (sqrt -1)) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1))))))))))) (* -2 (* (sqrt (pow eps 3)) (sqrt -1))))) (* -1 (* (pow eps 2) (pow (sqrt -1) 2)))) (pow x 2))
(/ (- (* x (- (* x (- (+ (* eps (pow (sqrt -1) 2)) (* x (- (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt eps) (/ 1 (sqrt -1))))))) (+ (* -1 eps) (+ (* -1/2 eps) (* (sqrt eps) (* (sqrt -1) (- (* (sqrt eps) (sqrt -1)) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1))))))))))) (* -2 (* (sqrt (pow eps 3)) (sqrt -1))))) (* -1 (* (pow eps 2) (pow (sqrt -1) 2)))) (pow x 2))
(- (* -2 eps) (+ (* -1 eps) (* 2 (- (* -1/2 eps) (* 2 eps)))))
(- (+ (* -2 eps) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 2))))) (+ (* -1 eps) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* 2 eps))) (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 2))) (+ (* 2 (- (* -1/2 eps) (* 2 eps))) (* 2 (/ (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))) (pow x 2))))))))
(- (+ (* -2 eps) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* -1/4 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 4))) (* 1/4 (/ (pow eps 2) (pow x 2))))))) (+ (* -1 eps) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* 2 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 2))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/2 eps) (* 2 eps))) (pow x 4))) (+ (* -1/8 (/ (pow eps 3) (pow x 4))) (+ (* 2 (- (* -1/2 eps) (* 2 eps))) (+ (* 2 (/ (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))) (pow x 2))) (* 2 (/ (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))) (pow x 4))))))))))))
(- (+ (* -2 eps) (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* -1/4 (/ (pow eps 3) (pow x 4))) (+ (* 1/64 (/ (pow eps 4) (pow x 6))) (+ (* 1/16 (/ (pow eps 4) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 4))) (* 1/4 (/ (pow eps 2) (pow x 2)))))))))) (+ (* -1 eps) (+ (* -1 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* 2 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 6))) (+ (* -1/4 (/ (pow eps 2) (pow x 2))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/2 eps) (* 2 eps))) (pow x 4))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 3) (pow x 4))) (+ (* -1/16 (/ (* (pow eps 3) (- (* -1/2 eps) (* 2 eps))) (pow x 6))) (+ (* 2 (- (* -1/2 eps) (* 2 eps))) (+ (* 2 (/ (- (* -1/2 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (* -1/16 (pow eps 4))) (pow x 6))) (+ (* 2 (/ (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))) (pow x 2))) (* 2 (/ (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))) (pow x 4)))))))))))))))))
0
(/ (- (* 1/8 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 4))
(/ (- (+ (* 1/64 (/ (pow eps 4) (pow x 2))) (+ (* 1/16 (/ (pow eps 4) (pow x 2))) (* 1/8 (pow eps 3)))) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (+ (* -1/2 (/ (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 2))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 2))) (+ (* 1/32 (/ (pow eps 4) (pow x 2))) (* 1/16 (pow eps 3))))))) (pow x 4))
(/ (- (+ (* 1/64 (/ (pow eps 4) (pow x 2))) (+ (* 1/64 (/ (pow eps 5) (pow x 4))) (+ (* 1/16 (/ (pow eps 4) (pow x 2))) (+ (* 1/8 (pow eps 3)) (* 1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))))))) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))))) (+ (* -1/2 (/ (* eps (- (* -1/2 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (* -1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 2))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 2))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 4))) (+ (* -1/16 (/ (* (pow eps 3) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* 1/32 (/ (pow eps 4) (pow x 2))) (+ (* 1/16 (pow eps 3)) (* 1/4 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4)))))))))))) (pow x 4))
(* -1 (* eps (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x)))))
(* eps (- (* -1 (* eps (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))))) (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x)))))
(* eps (- (* eps (- (* eps (- (* 5/16 (/ 1 (pow x 4))) (+ (* -1/8 (/ (- (* -1/2 x) (* 2 x)) (pow x 5))) (* 1/4 (/ 1 (pow x 4)))))) (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))))) (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x)))))
(* eps (- (* eps (- (* eps (- (+ (* 5/16 (/ 1 (pow x 4))) (* eps (- (* 5/32 (/ 1 (pow x 6))) (+ (* -1/16 (/ (- (* -1/2 x) (* 2 x)) (pow x 7))) (* 1/8 (/ 1 (pow x 6))))))) (+ (* -1/8 (/ (- (* -1/2 x) (* 2 x)) (pow x 5))) (* 1/4 (/ 1 (pow x 4)))))) (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 3/4 (/ 1 (pow x 2)))))) (+ 1 (* 2 (/ (- (* -1/2 x) (* 2 x)) x)))))
(/ (* (pow eps 2) (pow (sqrt -1) 2)) (pow x 2))
(* (pow eps 3) (- (/ (pow (sqrt -1) 2) (pow eps 2)) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x))) (+ (* -1 (/ (pow (sqrt -1) 2) (* eps (pow x 2)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2)))))))
(* (pow eps 3) (- (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1)))) (+ (/ 3/2 (pow eps 2)) (/ (pow (sqrt -1) 2) (pow eps 2)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x))) (+ (* -1 (/ (pow (sqrt -1) 2) (* eps (pow x 2)))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1))) (* (sqrt (/ 1 (pow eps 5))) (/ (* (sqrt -1) (- (pow x 3) (* 1/2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))))) (pow x 2)))))))))
(* (pow eps 3) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ x (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 3))) (+ (/ 3/2 (pow eps 2)) (/ (pow (sqrt -1) 2) (pow eps 2)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x))) (+ (* -1 (/ (pow (sqrt -1) 2) (* eps (pow x 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x) (sqrt -1)))) (+ (* 1/2 (/ (pow x 2) (pow eps 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1))) (+ (* (sqrt (/ 1 (pow eps 5))) (/ (* (sqrt -1) (- (pow x 3) (* 1/2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))))) (pow x 2))) (/ (pow x 2) (pow eps 3)))))))))))
(* -1 (/ (pow eps 2) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (+ (/ 1 (* eps (pow x 2))) (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (- (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) (+ 3/2 (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2)))))) eps)) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps)))) eps)) (/ 1 (* eps (pow x 2))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* x (sqrt -1)))) (* 2 (pow x 2))) (+ (* 1/2 (* (sqrt eps) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ 3/2 (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2)))))) eps)) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (+ (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))) (/ 1 eps)))) eps)) (/ 1 (* eps (pow x 2))))))
(* -1 (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* -1 (* eps x)) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* x (- (* x (- (* (sqrt eps) (sqrt -1)) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))))) eps)) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* x (- (* x (- (+ x (* (sqrt eps) (sqrt -1))) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))))) eps)) (* (sqrt (pow eps 3)) (sqrt -1)))
(* 2 (pow x 3))
(* (pow x 3) (- (+ 2 (* -1/2 (/ eps (pow x 2)))) (* 2 (/ eps (pow x 2)))))
(* (pow x 3) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (* 2 (/ eps (pow x 2))))))
(* (pow x 3) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/8 (/ (pow eps 3) (pow x 6))) (* 2 (/ eps (pow x 2)))))))
(* 1/2 (* eps x))
(* -1 (* x (- (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) (* -1/2 (/ (pow eps 2) (pow x 2))))))
(* -1 (* x (- (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* -1/8 (/ (pow eps 3) (pow x 4)))))))
(* -1 (* x (- (+ (* -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)))))) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* -1/8 (/ (pow eps 3) (pow x 4))) (* -1/16 (/ (pow eps 4) (pow x 6))))))))
(* 2 (pow x 3))
(+ (* 2 (pow x 3)) (* eps (- (* -1/2 x) (* 2 x))))
(+ (* 2 (pow x 3)) (* eps (- (+ (* -1/2 x) (* 3/8 (/ eps x))) (* 2 x))))
(+ (* 2 (pow x 3)) (* eps (- (+ (* -1/2 x) (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x))))) (* 2 x))))
(* -1 (* (sqrt (pow eps 3)) (sqrt -1)))
(* (pow eps 2) (- (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* (pow eps 2) (- (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))) (/ (pow x 3) (pow eps 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* (sqrt (pow eps 3)) (sqrt -1))
(* (pow eps 2) (- (* -1 (/ (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x)) eps)) (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* -1 x)) eps)) (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (pow x 3)) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* -1 x)) eps)) (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (pow (sqrt -1) 2))
(+ (* 2 (* (sqrt eps) (* x (sqrt -1)))) (* eps (pow (sqrt -1) 2)))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 x) (* 2 (* (sqrt eps) (sqrt -1))))))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 (* (sqrt eps) (sqrt -1))) (* x (+ 2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1))))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -2 (/ eps (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 6))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))))
(* 1/4 (/ (pow eps 2) (pow x 2)))
(/ (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/64 (/ (pow eps 5) (pow x 6))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (+ (* 1/4 (pow eps 2)) (* 1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6)))))))) (pow x 2))
(* 4 (pow x 2))
(+ (* -2 eps) (* 4 (pow x 2)))
(+ (* 4 (pow x 2)) (* eps (- (* -1/4 (/ eps (pow x 2))) 2)))
(+ (* 4 (pow x 2)) (* eps (- (* eps (- (* -1/8 (/ eps (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) 2)))
(* eps (pow (sqrt -1) 2))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ (pow (sqrt -1) 2) eps)))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (/ (pow (sqrt -1) 2) eps))))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 3) (sqrt -1))) (/ (pow (sqrt -1) 2) eps)))))
(* -1 eps)
(* (pow eps 2) (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -2 (/ (pow x 2) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
x
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* (sqrt eps) (sqrt -1))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* (sqrt eps) (sqrt -1)))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1 (/ (* (pow eps 2) (pow (sqrt -1) 2)) (pow x 2)))
(/ (+ (* -2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -1 (* (pow eps 2) (pow (sqrt -1) 2)))) (pow x 2))
(/ (+ (* -1 (* (pow eps 2) (pow (sqrt -1) 2))) (* x (+ (* -2 (* (sqrt (pow eps 3)) (sqrt -1))) (* x (+ (* -1 eps) (+ (* -1/2 eps) (* (sqrt eps) (* (sqrt -1) (- (* (sqrt eps) (sqrt -1)) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1))))))))))))) (pow x 2))
(/ (+ (* -1 (* (pow eps 2) (pow (sqrt -1) 2))) (* x (+ (* -2 (* (sqrt (pow eps 3)) (sqrt -1))) (* x (+ (* -1 eps) (+ (* -1/2 eps) (+ (* x (- (+ (* -1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* 2 (* (sqrt eps) (sqrt -1)))) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))))) (* (sqrt eps) (* (sqrt -1) (- (* (sqrt eps) (sqrt -1)) (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))))))))))))) (pow x 2))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (+ (* -1 (/ eps (pow x 2))) (* 2 (/ (- (* -1/2 eps) (* 2 eps)) (pow x 2))))))
(* (pow x 2) (+ 4 (+ (* -1 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* 2 eps))) (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (+ (* 2 (/ (- (* -1/2 eps) (* 2 eps)) (pow x 2))) (* 2 (/ (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))) (pow x 4)))))))))
(* (pow x 2) (+ 4 (+ (* -1 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* 2 eps))) (pow x 4))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 6))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/2 eps) (* 2 eps))) (pow x 6))) (+ (* -1/8 (/ (pow eps 3) (pow x 6))) (+ (* 2 (/ (- (* -1/2 eps) (* 2 eps)) (pow x 2))) (+ (* 2 (/ (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2))) (pow x 4))) (* 2 (/ (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3))) (pow x 6)))))))))))))
(* 1/4 (/ (pow eps 2) (pow x 2)))
(/ (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 2))) (+ (* 1/16 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2)))) (pow x 2))
(/ (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 4))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* 1/32 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))))))) (pow x 2))
(/ (+ (* -1/2 (/ (* eps (- (* -1/2 (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (* -1/16 (pow eps 4)))) (pow x 6))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 4))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (* (pow eps 2) (- (* -1/16 (pow eps 3)) (* -1/8 (pow eps 3)))) (pow x 6))) (+ (* -1/16 (/ (* (pow eps 3) (- (* -1/8 (pow eps 2)) (* -1/2 (pow eps 2)))) (pow x 6))) (+ (* 1/32 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 3) (pow x 2))) (+ (* 1/4 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (* 1/4 (pow eps 2))))))))))) (pow x 2))
(* 4 (pow x 2))
(+ (* 4 (pow x 2)) (* eps (- (* 2 (/ (- (* -1/2 x) (* 2 x)) x)) 1)))
(+ (* 4 (pow x 2)) (* eps (- (+ (* 2 (/ (- (* -1/2 x) (* 2 x)) x)) (* eps (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))) 1)))
(+ (* 4 (pow x 2)) (* eps (- (+ (* 2 (/ (- (* -1/2 x) (* 2 x)) x)) (* eps (+ (* -1/2 (/ (- (* -1/2 x) (* 2 x)) (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* eps (- (+ (* -1/8 (/ (- (* -1/2 x) (* 2 x)) (pow x 5))) (* 1/8 (/ 1 (pow x 4)))) (* 5/16 (/ 1 (pow x 4))))))))) 1)))
(* -1 (/ (* (pow eps 2) (pow (sqrt -1) 2)) (pow x 2)))
(* (pow eps 3) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x))) (+ (* -1 (/ (pow (sqrt -1) 2) (* eps (pow x 2)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2))))))
(* (pow eps 3) (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x))) (+ (* -1 (/ (pow (sqrt -1) 2) (* eps (pow x 2)))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1))) (* (sqrt (/ 1 (pow eps 5))) (/ (* (sqrt -1) (- (pow x 3) (* 1/2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))))) (pow x 2))))))) (/ 3/2 (pow eps 2))))
(* (pow eps 3) (- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) x))) (+ (* -1 (/ (pow (sqrt -1) 2) (* eps (pow x 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x) (sqrt -1)))) (+ (* 1/2 (/ (pow x 2) (pow eps 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) x)) (pow x 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1))) (+ (* (sqrt (/ 1 (pow eps 5))) (/ (* (sqrt -1) (- (pow x 3) (* 1/2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))))) (pow x 2))) (/ (pow x 2) (pow eps 3))))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ x (sqrt -1)))) (/ 3/2 (pow eps 2)))))
(/ (pow eps 2) (pow x 2))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2)))) eps)) (/ 1 (* eps (pow x 2))))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ 3/2 (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2))))) eps)) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))))) eps)) (/ 1 (* eps (pow x 2))))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ 3/2 (+ (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))))) (+ (* 1/2 (pow x 2)) (pow x 2))) (* -1/2 (* (sqrt eps) (* x (sqrt -1))))) eps)) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (pow x 3) (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))))) (pow x 2)))))) eps)) (+ (* (sqrt (/ 1 eps)) (/ (sqrt -1) x)) (* (sqrt (/ 1 eps)) (/ (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (* -1 x))) (pow x 2))))) eps)) (/ 1 (* eps (pow x 2))))))
(* (sqrt (pow eps 3)) (/ (pow (sqrt -1) 3) (pow x 2)))
(/ (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2)))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (pow x 2))
(/ (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (pow x 2))
(/ (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (+ (* 4 x) (* 4 (* (sqrt eps) (sqrt -1))))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (pow x 2))
(* 8 x)
(* x (+ 8 (+ (* -4 (/ eps (pow x 2))) (* -2 (/ eps (pow x 2))))))
(* x (+ 8 (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (/ (pow eps 2) (pow x 4))))))))
(* x (+ 8 (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 3) (pow x 6))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* 2 (/ (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (pow x 6))) (/ (pow eps 2) (pow x 4))))))))))))
(* 1/8 (/ (pow eps 3) (pow x 5)))
(* -1 (/ (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (* -1/32 (/ (pow eps 4) (pow x 2))))) (pow x 5)))
(* -1 (/ (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (* -1/32 (/ (pow eps 5) (pow x 4))))))) (pow x 5)))
(* -1 (/ (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))) (pow x 6))) (+ (* -1/4 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 5) (pow x 4))) (* -1/128 (/ (pow eps 6) (pow x 6)))))))))) (pow x 5)))
(* 8 x)
(+ (* -6 (/ eps x)) (* 8 x))
(+ (* 8 x) (* eps (- (* -1/8 (/ (pow eps 2) (pow x 5))) (* 6 (/ 1 x)))))
(+ (* 8 x) (* eps (- (* (pow eps 2) (- (* -3/32 (/ eps (pow x 7))) (* 1/8 (/ 1 (pow x 5))))) (* 6 (/ 1 x)))))
(* (sqrt (pow eps 3)) (/ (pow (sqrt -1) 3) (pow x 2)))
(* (pow eps 3) (+ (* 2 (/ (pow (sqrt -1) 2) (* (pow eps 2) x))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (pow (sqrt -1) 3) (pow x 2))) (/ (pow (sqrt -1) 2) (* (pow eps 2) x)))))
(* (pow eps 3) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (+ (* 2 (/ (pow (sqrt -1) 2) (* (pow eps 2) x))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (pow (sqrt -1) 3) (pow x 2))) (/ (pow (sqrt -1) 2) (* (pow eps 2) x)))))))
(* (pow eps 3) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (+ (* 2 (/ (pow (sqrt -1) 2) (* (pow eps 2) x))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (sqrt -1))) (+ (* 4 (/ x (pow eps 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (pow (sqrt -1) 3) (pow x 2))) (/ (pow (sqrt -1) 2) (* (pow eps 2) x))))))))
(* -1 (* (sqrt (pow eps 3)) (/ (sqrt -1) (pow x 2))))
(* -1 (* (pow eps 3) (+ (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) (pow x 2))) (* 3 (/ 1 (* (pow eps 2) x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 4 (* (sqrt (/ 1 eps)) (sqrt -1)))) eps)) (* 3 (/ 1 (* eps x)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) (pow x 2))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (+ (* -4 (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 4 (* (sqrt (/ 1 eps)) (sqrt -1))))) eps)) (* 3 (/ 1 (* eps x)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (/ (sqrt -1) (pow x 2))))))

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

eval343.0ms (2.4%)

Memory: 46.2MiB live, 774.7MiB allocated
Compiler: Compiled 185 924 to 7 399 computations (96% saved)

prune320.0ms (2.3%)

Memory

-6.7MiB live, 526.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 876	5	1 881
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	1 878	10	1 888

Accuracy

100.0%

Counts

1 888 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.8%	(/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)))) x)
▶	58.6%	(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
✓	43.6%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
▶	100.0%	(/.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) x))
▶	44.0%	(/.f64 (neg.f64 eps) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x) x))
✓	99.6%	(/.f64 (neg.f64 eps) (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))
▶	2.1%	(/.f64 #s(literal 1 binary64) (+.f64 x x))
✓	62.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	3.6%	(+.f64 x x)

Compiler

Compiled 213 to 126 computations (40.8% saved)

simplify425.0ms (3%)

Memory

18.3MiB live, 335.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(/.f64 (.f64 eps eps) (.f64 x x))
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)))) x)
✓	cost-diff	1280	(fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64))))
✓	cost-diff	0	(-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x) x)
✓	cost-diff	0	(neg.f64 eps)
✓	cost-diff	128	(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
✓	cost-diff	128	(/.f64 (neg.f64 eps) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x) x))
✓	cost-diff	0	(sqrt.f64 (neg.f64 eps))
✓	cost-diff	0	(+.f64 x (sqrt.f64 (neg.f64 eps)))
✓	cost-diff	0	(fma.f64 x x eps)
✓	cost-diff	0	(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (+.f64 x x))
✓	cost-diff	0	(neg.f64 eps)
✓	cost-diff	128	(/.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) x))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	cost-diff	192	(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) eps))

Rules

5 914×	`lower-fma.f32`
5 908×	`lower-fma.f64`
3 226×	`lower-*.f32`
3 212×	`lower-*.f64`
1 530×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	298
0	69	270
1	129	254
2	271	248
3	613	244
4	1820	244
5	5674	244
6	7989	244
0	8001	238

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) x))
(/.f64 eps (+.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(neg.f64 eps)
eps
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) x)
(-.f64 (/.f64 (-.f64 eps (.f64 x x)) (sqrt.f64 (-.f64 (.f64 x x) eps))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 eps (.f64 x x)) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) eps))
(-.f64 eps (*.f64 x x))
#s(literal 0 binary64)
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
x
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)
(+.f64 x x)
x
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
(fma.f64 x x eps)
x
eps
(+.f64 x (sqrt.f64 (neg.f64 eps)))
(sqrt.f64 (neg.f64 eps))
(neg.f64 eps)
(/.f64 (neg.f64 eps) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x) x))
(/.f64 eps (+.f64 x (-.f64 x (/.f64 eps (+.f64 x x)))))
(neg.f64 eps)
eps
(-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x) x)
(-.f64 (/.f64 eps (+.f64 x x)) (+.f64 x x))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)
(-.f64 (/.f64 eps (+.f64 x x)) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(/.f64 eps (+.f64 x x))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)))) x)
(.f64 eps (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64))))
(.f64 eps (fma.f64 (/.f64 eps (.f64 x x)) (fma.f64 eps (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 eps eps) (.f64 x x))
(*.f64 eps eps)
eps
(*.f64 x x)
x
#s(literal 1/8 binary64)
(.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)))
(.f64 eps (fma.f64 eps (/.f64 (.f64 eps #s(literal 1/16 binary64)) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/2 binary64))
(fma.f64 eps (/.f64 (.f64 eps #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64))
(.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 eps #s(literal 1/16 binary64)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
#s(literal 1/16 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x x))
#s(literal 1/2 binary64)

localize184.0ms (1.3%)

Memory

-27.7MiB live, 164.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.6%	(fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64))))
✓	accuracy	89.6%	(.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)))
✓	accuracy	89.0%	(fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/2 binary64))
✓	accuracy	61.3%	(/.f64 (.f64 eps eps) (.f64 x x))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)
✓	accuracy	100.0%	(-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x) x)
✓	accuracy	99.9%	(/.f64 (neg.f64 eps) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x) x))
✓	accuracy	100.0%	(sqrt.f64 (neg.f64 eps))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (neg.f64 eps)))
✓	accuracy	99.5%	(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x x))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	accuracy	99.6%	(/.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) x))
✓	accuracy	99.5%	(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))))

Samples

54.0ms	196×	0	valid
48.0ms	60×	0	invalid

Compiler

Compiled 300 to 41 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-add: 43.0ms (52.1% of total)

ival-div: 14.0ms (17% of total)

ival-mult: 13.0ms (15.8% of total)

ival-sub: 6.0ms (7.3% of total)

ival-sqrt: 4.0ms (4.8% of total)

exact: 1.0ms (1.2% of total)

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

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

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

series47.0ms (0.3%)

Memory

21.2MiB live, 96.4MiB allocated

Counts

22 → 468

Calls

Call 1

Inputs
#<alt (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) eps))>
#<alt (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))>
#<alt (/.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps)))) x))>
#<alt (neg.f64 eps)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x x))>
#<alt (+.f64 x x)>
#<alt (/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))>
#<alt (fma.f64 x x eps)>
#<alt (+.f64 x (sqrt.f64 (neg.f64 eps)))>
#<alt (sqrt.f64 (neg.f64 eps))>
#<alt (/.f64 (neg.f64 eps) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x) x))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)>
#<alt (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x) x)>
#<alt (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64))))>
#<alt (/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)))) x)>
#<alt (/.f64 (.f64 eps eps) (.f64 x x))>
#<alt (*.f64 eps eps)>
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))))>
#<alt (sqrt.f64 (-.f64 (*.f64 x x) eps))>
#<alt (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)>
#<alt (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/2 binary64))>
#<alt (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)))>

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

Calls

117 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(/ (- 0 (- (* x x) eps)) (+ 0 (sqrt (- (* x x) eps))))
3.0ms	x	@	-inf	(/ (neg eps) (- (/ (- 0 (- (* x x) eps)) (+ 0 (sqrt (- (* x x) eps)))) x))
2.0ms	eps	@	inf	(/ (neg eps) (- (/ (- 0 (- (* x x) eps)) (+ 0 (sqrt (- (* x x) eps)))) x))
2.0ms	eps	@	inf	(+ (* (/ (* eps eps) (* x x)) 1/8) (* eps (+ (* eps (* eps (/ 1/16 (* x (* x (* x x)))))) 1/2)))
2.0ms	x	@	inf	(/ (neg eps) (- (/ (- 0 (- (* x x) eps)) (+ 0 (sqrt (- (* x x) eps)))) x))

rewrite450.0ms (3.2%)

Memory

-4.6MiB live, 666.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 156×	`lower-/.f32`
4 138×	`lower-/.f64`
4 046×	`lower-*.f32`
4 032×	`lower-*.f64`
3 508×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	215
0	69	193
1	307	164
2	2640	157
0	9633	153

Stop Event

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

Counts

22 → 1 393

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) eps))
(+.f64 (*.f64 x x) (neg.f64 eps))
(+.f64 eps (neg.f64 (*.f64 x x)))
(+.f64 (-.f64 (*.f64 x x) eps) #s(literal 0 binary64))
(+.f64 (neg.f64 eps) (*.f64 x x))
(+.f64 (neg.f64 (*.f64 x x)) eps)
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 eps))
(+.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 eps))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (*.f64 x x) eps))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(-.f64 (-.f64 (*.f64 x x) eps) #s(literal 0 binary64))
(-.f64 (neg.f64 (*.f64 x x)) (neg.f64 eps))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) eps)
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps)))) (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x (.f64 x x)) (*.f64 eps (fma.f64 x x eps)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x eps)) (/.f64 (.f64 eps eps) (fma.f64 x x eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (-.f64 (.f64 x x) eps))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))
(sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(fma.f64 x x (neg.f64 eps))
(fma.f64 x (neg.f64 x) eps)
(fma.f64 eps #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 x x) eps) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) eps (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) eps) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) eps)
(fma.f64 #s(literal -1 binary64) eps (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) eps) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) (neg.f64 (*.f64 x x)))
(fma.f64 (neg.f64 x) x eps)
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 eps))
(fma.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 0 binary64))
(fma.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) #s(literal 0 binary64))
(fma.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) eps)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) eps)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (*.f64 eps (fma.f64 x x eps)))) #s(literal 0 binary64))
(fma.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)) (fma.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 (-.f64 eps (.f64 x x)))) #s(literal 0 binary64))
(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))) (-.f64 (*.f64 x x) eps) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (*.f64 eps (fma.f64 x x eps)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (.f64 eps eps)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (-.f64 eps (.f64 x x)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)) (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps))) #s(literal 1 binary64)) (-.f64 (*.f64 x x) eps) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) eps) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 eps) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 eps))
(neg.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (-.f64 (*.f64 x x) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (*.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x eps) (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 eps (fma.f64 x x eps))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (*.f64 eps eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x eps) (.f64 (fma.f64 x x eps) (-.f64 (.f64 x x) eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) eps))))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 0 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) #s(literal 0 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (-.f64 (.f64 x x) eps))
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(/.f64 (neg.f64 (.f64 eps (fma.f64 (/.f64 eps (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))) (.f64 (.f64 eps eps) (/.f64 eps (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 eps (/.f64 eps (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 16 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1/8 binary64)) eps)) (neg.f64 (-.f64 (fma.f64 (/.f64 eps (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))) (.f64 (.f64 eps eps) (/.f64 eps (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps eps) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 16 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 eps (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))) (.f64 (.f64 eps eps) (/.f64 eps (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)))) #s(literal -1/4 binary64)) eps)) (neg.f64 (fma.f64 eps (/.f64 eps (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 16 binary64))) #s(literal -1/2 binary64))))
(.f64 eps (fma.f64 eps (/.f64 eps (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 16 binary64))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 eps (/.f64 eps (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 16 binary64))) #s(literal 1/2 binary64)) eps)

simplify995.0ms (7%)

Memory

-97.6MiB live, 863.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 346×	`lower-fma.f64`
14 346×	`lower-fma.f32`
8 424×	`lower-*.f64`
8 424×	`lower-*.f32`
5 230×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	859	7397
1	2780	6977
0	8992	6638

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 453

Calls

Call 1

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

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

eval325.0ms (2.3%)

Memory: 20.6MiB live, 649.2MiB allocated
Compiler: Compiled 64 374 to 5 730 computations (91.1% saved)

prune645.0ms (4.6%)

Memory

-22.9MiB live, 530.4MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 903	7	1 910
Fresh	0	0	0
Picked	4	1	5
Done	1	4	5
Total	1 908	12	1 920

Accuracy

100.0%

Counts

1 920 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.8%	(/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (.f64 eps (fma.f64 eps (.f64 eps (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)))) x)
✓	43.6%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
	100.0%	(/.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (neg.f64 x) x eps) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x))
	99.6%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	2.1%	(/.f64 #s(literal 1/2 binary64) x)
	3.4%	(/.f64 #s(literal -1 binary64) (+.f64 x x))
	5.3%	(-.f64 (neg.f64 x) x)
✓	62.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	3.6%	(+.f64 x x)
	4.3%	(.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))
	4.2%	(.f64 #s(literal -8 binary64) (.f64 x (*.f64 x x)))

Compiler

Compiled 548 to 173 computations (68.4% saved)

regimes25.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	eps
8.0ms	x
8.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes49.0ms (0.3%)

Memory

-41.0MiB live, 18.2MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
6.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`
99.6%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes13.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.1%	2	`x`
84.4%	2	`eps`
99.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
98.0%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes14.0ms (0.1%)

Memory

-5.4MiB live, 33.1MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))

Calls

3 calls:

6.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
60.6%	2	`eps`
59.0%	1	`x`
60.7%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory

-8.1MiB live, 29.7MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(+.f64 x x)
(-.f64 x (neg.f64 x))
(-.f64 (neg.f64 x) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(.f64 #s(literal -8 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))

Outputs
(-.f64 (neg.f64 x) x)

Calls

3 calls:

4.0ms	eps
3.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
3.0ms	x

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	1	`eps`
5.3%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0%)

Memory

17.5MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(+.f64 x x)
(-.f64 x (neg.f64 x))

Outputs
(+.f64 x x)

Calls

3 calls:

2.0ms	eps
1.0ms	x
1.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9765619363168943e-154	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9765619363168943e-154	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9765619363168943e-154	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify29.0ms (0.2%)

Memory

-24.5MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Rules

176×	`neg-mul-1_binary64`
158×	`distribute-lft-neg-in_binary64`
134×	`unsub-neg_binary64`
110×	`neg-sub0_binary64`
86×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	102
1	51	102
2	71	102
3	91	101
4	119	101
5	164	101
6	228	101
7	316	101
8	471	101
9	609	101
10	635	101
11	671	101
12	689	101
13	720	101
14	726	101

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (neg.f64 x) x eps) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (.f64 eps #s(literal 1/2 binary64)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
(-.f64 (neg.f64 x) x)
(+.f64 x x)

Outputs
(/.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (neg.f64 x) x eps) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) x))
(/.f64 eps (-.f64 x (/.f64 (fma.f64 (neg.f64 x) x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (*.f64 eps #s(literal 1/2 binary64)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (.f64 eps #s(literal 1/2 binary64)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
(-.f64 (neg.f64 x) x)
(+.f64 x x)

soundness1.4s (10.1%)

Memory

4.1MiB live, 1 331.8MiB allocated

Rules

14 346×	`lower-fma.f64`
14 346×	`lower-fma.f32`
11 222×	`lower-fma.f64`
11 222×	`lower-fma.f32`
10 208×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1733	13910
1	5808	13429
0	8396	12742
0	859	7397
1	2780	6977
0	8992	6638
0	37	215
0	69	193
1	307	164
2	2640	157
0	9633	153
0	36	386
0	68	331
1	298	263
2	2757	250
0	9328	235
0	25	179
0	47	171
1	210	148
2	1912	142
0	8491	141
0	6	22
0	10	22
1	42	22
2	310	22
3	3602	22
0	8549	22
0	964	6638
1	3179	6068
0	8272	5802
0	257	1257
1	784	1238
2	2594	1200
3	6944	1197
0	8091	1129

Stop Event

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

Compiler

Compiled 255 to 133 computations (47.8% saved)

preprocess79.0ms (0.6%)

Memory: 10.0MiB live, 123.1MiB allocated
Compiler: Compiled 250 to 84 computations (66.4% 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	31	102
1	51	102
2	71	102
3	91	101
4	119	101
5	164	101
6	228	101
7	316	101
8	471	101
9	609	101
10	635	101
11	671	101
12	689	101
13	720	101
14	726	101

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	31	102
1	51	102
2	71	102
3	91	101
4	119	101
5	164	101
6	228	101
7	316	101
8	471	101
9	609	101
10	635	101
11	671	101
12	689	101
13	720	101
14	726	101

analyze16.0ms (0.1%)

sample1.3s (9.2%)

preprocess39.0ms (0.3%)

explain92.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize51.0ms (0.4%)

series8.0ms (0.1%)

rewrite340.0ms (2.4%)

simplify674.0ms (4.8%)

eval42.0ms (0.3%)

prune69.0ms (0.5%)

simplify228.0ms (1.6%)

localize124.0ms (0.9%)

series69.0ms (0.5%)

rewrite488.0ms (3.5%)

simplify441.0ms (3.1%)

eval803.0ms (5.7%)

prune2.4s (16.7%)

simplify378.0ms (2.7%)

localize150.0ms (1.1%)

series100.0ms (0.7%)

rewrite505.0ms (3.6%)

simplify439.0ms (3.1%)

eval343.0ms (2.4%)

prune320.0ms (2.3%)

simplify425.0ms (3%)

localize184.0ms (1.3%)

series47.0ms (0.3%)

rewrite450.0ms (3.2%)

simplify995.0ms (7%)

eval325.0ms (2.3%)

prune645.0ms (4.6%)

regimes25.0ms (0.2%)

regimes49.0ms (0.3%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify29.0ms (0.2%)

soundness1.4s (10.1%)

preprocess79.0ms (0.6%)

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

Iter	Nodes	Cost
0	31	102
1	51	102
2	71	102
3	91	101
4	119	101
5	164	101
6	228	101
7	316	101
8	471	101
9	609	101
10	635	101
11	671	101
12	689	101
13	720	101
14	726	101