Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze54.0ms (0.7%)

Memory

-21.4MiB live, 26.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.5s (20.1%)

Memory

-4.1MiB live, 1 914.4MiB allocated

Samples

462.0ms	4 938×	0	valid
415.0ms	2 712×	1	valid
101.0ms	606×	2	valid
12.0ms	177×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 714.0ms

ival-sqrt: 190.0ms (26.6% of total)

ival-sub: 136.0ms (19% of total)

ival-<=: 128.0ms (17.9% of total)

ival-mult: 122.0ms (17.1% of total)

adjust: 80.0ms (11.2% of total)

ival-and: 36.0ms (5% of total)

exact: 19.0ms (2.7% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain104.0ms (1.4%)

Memory

25.1MiB live, 215.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
117	-	1	(8.144398265655764e-78 -2.1472300398557435e-156)	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
0	-	0	-	`eps`
0	-	0	-	`(sqrt.f64 (-.f64 (*.f64 x x) eps))`
0	-	0	-	`(-.f64 (*.f64 x x) eps)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`	cancellation	116	1

Confusion

	Predicted +	Predicted -
+	116	1
-	0	139

Precision

1.0

Recall

0.9914529914529915

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	116	1	0
-	0	0	139

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	140
1	116

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms	178×	1	valid
15.0ms	288×	0	valid
7.0ms	46×	2	valid

Compiler

Compiled 60 to 22 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sub: 13.0ms (45.2% of total)

ival-sqrt: 6.0ms (20.9% of total)

ival-mult: 5.0ms (17.4% of total)

adjust: 4.0ms (13.9% of total)

ival-true: 1.0ms (3.5% of total)

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

preprocess26.0ms (0.4%)

Memory

-19.0MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.6%)

Memory

4.9MiB live, 49.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.015625	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.03125	(-.f64 (*.f64 x x) eps)
accuracy	26.359096354816003	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

29.0ms	89×	1	valid
7.0ms	144×	0	valid
3.0ms	23×	2	valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sqrt: 4.0ms (32.6% of total)

ival-sub: 4.0ms (32.6% of total)

ival-mult: 3.0ms (24.4% of total)

adjust: 2.0ms (16.3% of total)

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

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

series8.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

4 → 49

Calls

Call 1

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

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

Calls

6 calls:

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

simplify166.0ms (2.2%)

Memory

5.5MiB live, 196.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

rewrite178.0ms (2.4%)

Memory

-47.8MiB live, 148.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 199

Calls

Call 1

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

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

eval49.0ms (0.7%)

Memory: 15.0MiB live, 58.5MiB allocated
Compiler: Compiled 6 064 to 978 computations (83.9% saved)

prune11.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	234	11	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	234	12	246

Accuracy

99.5%

Counts

246 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.0%	(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) x)
	44.2%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))))
	58.2%	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶	58.4%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	54.5%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	7.1%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
▶	3.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	36.0%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 (/.f64 eps x) #s(literal 1/8 binary64)) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) eps))) x))
	24.7%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
▶	39.9%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
▶	47.4%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 426 to 274 computations (35.7% saved)

simplify182.0ms (2.4%)

Memory

12.3MiB live, 155.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	192
0	48	192
1	68	184
2	136	183
3	394	183
4	1442	183
5	3575	183
6	4419	183
7	4629	183
8	4712	183
9	5022	183
10	5214	183
11	5922	183
12	6672	183
0	8034	183

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (2.8%)

Memory

-22.3MiB live, 223.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
accuracy	0.03125	(-.f64 (*.f64 x x) eps)
accuracy	0.03515625	(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64))
accuracy	26.93995602534939	(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) x)
accuracy	0.1328125	(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	5.7369087728784605	(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
accuracy	10.470201661724246	(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
accuracy	34.7134858381018	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.19921875	(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
accuracy	33.59114467836896	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
accuracy	0.0	(neg.f64 x)
accuracy	26.359096354816003	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
accuracy	62.406770232621	#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
accuracy	0.015625	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.03125	(-.f64 (*.f64 x x) eps)
accuracy	0.30078125	(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))
accuracy	26.359096354816003	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))

Samples

99.0ms	23×	2	valid
62.0ms	89×	1	valid
31.0ms	144×	0	valid

Compiler

Compiled 172 to 26 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 35.0ms (33.5% of total)

adjust: 27.0ms (25.9% of total)

ival-pow: 17.0ms (16.3% of total)

ival-div: 10.0ms (9.6% of total)

ival-sub: 6.0ms (5.7% of total)

ival-neg: 3.0ms (2.9% of total)

ival-sqrt: 3.0ms (2.9% of total)

ival-add: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory

-13.7MiB live, 75.7MiB allocated

Counts

18 → 124

Calls

Call 1

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

Outputs
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1 eps)
(- (pow x 2) eps)
(pow x 2)
(* -1 x)
(* 1/2 (/ eps x))
(/ 1/2 x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 3))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* x (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))))))))
(pow (* -1 eps) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow eps 3)) 1/4) (pow x 2))) (pow (* -1 eps) 1/4))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow eps 7)) 1/4) (pow x 2))))) (pow (* -1 eps) 1/4))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* (pow x 2) (+ (* -3/32 (pow (/ -1 (pow eps 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow eps 11)) 1/4) (pow x 2))))))) (pow (* -1 eps) 1/4))
(* -1 (pow (* -1 eps) 1/4))
(- (* 1/4 (* (pow (/ -1 (pow eps 3)) 1/4) (pow x 2))) (pow (* -1 eps) 1/4))
(- (* (pow x 2) (- (* 3/32 (* (pow (/ -1 (pow eps 7)) 1/4) (pow x 2))) (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)))) (pow (* -1 eps) 1/4))
(- (* (pow x 2) (- (* (pow x 2) (- (* 7/128 (* (pow (/ -1 (pow eps 11)) 1/4) (pow x 2))) (* -3/32 (pow (/ -1 (pow eps 7)) 1/4)))) (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)))) (pow (* -1 eps) 1/4))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) x)
(sqrt x)
(+ (sqrt x) (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))))
(+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))))
(+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))) (* (sqrt (/ 1 (pow x 11))) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3))))))))
(* -1 (sqrt x))
(- (* 1/4 (* eps (sqrt (/ 1 (pow x 3))))) (sqrt x))
(- (* -1 (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))) (+ (sqrt x) (* -1/4 (* eps (sqrt (/ 1 (pow x 3)))))))
(- (* -1 (* (sqrt (/ 1 (pow x 11))) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3)))))) (+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (* x (- (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) 2)))
(* -1 (* x (- (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* (sqrt x) (sqrt -1))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (* (sqrt x) (sqrt -1)))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))))))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))) (* (sqrt (/ 1 (pow x 11))) (* (sqrt -1) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3)))))))))
(* -1 (* (sqrt x) (sqrt -1)))
(- (* 1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (* (sqrt x) (sqrt -1)))
(- (* -1 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))))) (+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (* (sqrt x) (sqrt -1))))
(- (* -1 (* (sqrt (/ 1 (pow x 11))) (* (sqrt -1) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3))))))) (+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ x (* -1 x))
(+ x (+ (* -1 x) (* 1/2 (/ eps x))))
(+ x (+ (* -1 x) (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
(+ x (+ (* -1 x) (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
(* (pow 1 1/4) (sqrt x))
(+ (* -1/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 3)))))) (* (pow 1 1/4) (sqrt x)))
(+ (* eps (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))) (* -3/32 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 7)))))))) (* (pow 1 1/4) (sqrt x)))
(+ (* eps (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))) (* eps (+ (* -3/32 (* (pow 1 1/4) (sqrt (/ 1 (pow x 7))))) (* -7/128 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 11)))))))))) (* (pow 1 1/4) (sqrt x)))
(* -1 (* (pow 1 1/4) (sqrt x)))
(- (* 1/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 3)))))) (* (pow 1 1/4) (sqrt x)))
(- (* eps (- (* 3/32 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 7)))))) (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))))) (* (pow 1 1/4) (sqrt x)))
(- (* eps (- (* eps (- (* 7/128 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 11)))))) (* -3/32 (* (pow 1 1/4) (sqrt (/ 1 (pow x 7))))))) (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))))) (* (pow 1 1/4) (sqrt x)))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ (pow x 2) eps) 1))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps)))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps))))
(* 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) (pow (sqrt -1) 3)))) (/ x eps)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/12 (pow x 6)) (+ (* -1/384 (pow x 6)) (* 1/32 (pow x 6))))) (pow eps 3)))))
(* -1 (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))))
(- (* 1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))))
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2))) (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps))))
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/12 (pow x 6)) (+ (* -1/384 (pow x 6)) (* 1/32 (pow x 6))))) (pow eps 3))) (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1))))) eps))) eps)))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/32 (pow x 6)) (+ (* 1/384 (pow x 6)) (* 1/12 (pow x 6)))))) (* (pow (* -1 eps) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) eps)) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(- (* -1 (/ (- (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(- (* -1 (/ (- (* -1 (/ (- (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/32 (pow x 6)) (+ (* 1/384 (pow x 6)) (* 1/12 (pow x 6))))) (* (pow (* -1 eps) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) eps)) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (sqrt (- (* x x) eps)) (neg (pow (- (* x x) eps) 1/4)))
7.0ms	eps	@	-inf	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (sqrt (- (* x x) eps)) (neg (pow (- (* x x) eps) 1/4)))
5.0ms	eps	@	0	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (sqrt (- (* x x) eps)) (neg (pow (- (* x x) eps) 1/4)))
5.0ms	x	@	0	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (sqrt (- (* x x) eps)) (neg (pow (- (* x x) eps) 1/4)))
4.0ms	eps	@	inf	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (sqrt (- (* x x) eps)) (neg (pow (- (* x x) eps) 1/4)))

simplify172.0ms (2.3%)

Memory

27.5MiB live, 228.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	551	2914
1	1807	2781
2	7268	2752
0	8300	2609

Stop Event

1×	iter limit
1×	node limit

Counts

124 → 123

Calls

Call 1

Inputs
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1 eps)
(- (pow x 2) eps)
(pow x 2)
(* -1 x)
(* 1/2 (/ eps x))
(/ 1/2 x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 3))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* x (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))))))))
(pow (* -1 eps) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow eps 3)) 1/4) (pow x 2))) (pow (* -1 eps) 1/4))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow eps 7)) 1/4) (pow x 2))))) (pow (* -1 eps) 1/4))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* (pow x 2) (+ (* -3/32 (pow (/ -1 (pow eps 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow eps 11)) 1/4) (pow x 2))))))) (pow (* -1 eps) 1/4))
(* -1 (pow (* -1 eps) 1/4))
(- (* 1/4 (* (pow (/ -1 (pow eps 3)) 1/4) (pow x 2))) (pow (* -1 eps) 1/4))
(- (* (pow x 2) (- (* 3/32 (* (pow (/ -1 (pow eps 7)) 1/4) (pow x 2))) (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)))) (pow (* -1 eps) 1/4))
(- (* (pow x 2) (- (* (pow x 2) (- (* 7/128 (* (pow (/ -1 (pow eps 11)) 1/4) (pow x 2))) (* -3/32 (pow (/ -1 (pow eps 7)) 1/4)))) (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)))) (pow (* -1 eps) 1/4))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) x)
(sqrt x)
(+ (sqrt x) (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))))
(+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))))
(+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))) (* (sqrt (/ 1 (pow x 11))) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3))))))))
(* -1 (sqrt x))
(- (* 1/4 (* eps (sqrt (/ 1 (pow x 3))))) (sqrt x))
(- (* -1 (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))) (+ (sqrt x) (* -1/4 (* eps (sqrt (/ 1 (pow x 3)))))))
(- (* -1 (* (sqrt (/ 1 (pow x 11))) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3)))))) (+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (* x (- (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) 2)))
(* -1 (* x (- (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* (sqrt x) (sqrt -1))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (* (sqrt x) (sqrt -1)))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))))))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))) (* (sqrt (/ 1 (pow x 11))) (* (sqrt -1) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3)))))))))
(* -1 (* (sqrt x) (sqrt -1)))
(- (* 1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (* (sqrt x) (sqrt -1)))
(- (* -1 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))))) (+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (* (sqrt x) (sqrt -1))))
(- (* -1 (* (sqrt (/ 1 (pow x 11))) (* (sqrt -1) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3))))))) (+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ x (* -1 x))
(+ x (+ (* -1 x) (* 1/2 (/ eps x))))
(+ x (+ (* -1 x) (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
(+ x (+ (* -1 x) (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
(* (pow 1 1/4) (sqrt x))
(+ (* -1/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 3)))))) (* (pow 1 1/4) (sqrt x)))
(+ (* eps (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))) (* -3/32 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 7)))))))) (* (pow 1 1/4) (sqrt x)))
(+ (* eps (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))) (* eps (+ (* -3/32 (* (pow 1 1/4) (sqrt (/ 1 (pow x 7))))) (* -7/128 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 11)))))))))) (* (pow 1 1/4) (sqrt x)))
(* -1 (* (pow 1 1/4) (sqrt x)))
(- (* 1/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 3)))))) (* (pow 1 1/4) (sqrt x)))
(- (* eps (- (* 3/32 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 7)))))) (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))))) (* (pow 1 1/4) (sqrt x)))
(- (* eps (- (* eps (- (* 7/128 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 11)))))) (* -3/32 (* (pow 1 1/4) (sqrt (/ 1 (pow x 7))))))) (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))))) (* (pow 1 1/4) (sqrt x)))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ (pow x 2) eps) 1))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps)))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps))))
(* 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) (pow (sqrt -1) 3)))) (/ x eps)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/12 (pow x 6)) (+ (* -1/384 (pow x 6)) (* 1/32 (pow x 6))))) (pow eps 3)))))
(* -1 (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))))
(- (* 1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))))
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2))) (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps))))
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/12 (pow x 6)) (+ (* -1/384 (pow x 6)) (* 1/32 (pow x 6))))) (pow eps 3))) (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1))))) eps))) eps)))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/32 (pow x 6)) (+ (* 1/384 (pow x 6)) (* 1/12 (pow x 6)))))) (* (pow (* -1 eps) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) eps)) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(- (* -1 (/ (- (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(- (* -1 (/ (- (* -1 (/ (- (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/32 (pow x 6)) (+ (* 1/384 (pow x 6)) (* 1/12 (pow x 6))))) (* (pow (* -1 eps) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) eps)) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))

Outputs
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (fma.f64 (.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) x) x x))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (.f64 x x) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(-.f64 (*.f64 x x) eps)
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* 1/2 (/ eps x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (/ eps (pow x 3)))
(*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps)
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* x (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))))))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (fma.f64 (.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) x) x x))
(pow (* -1 eps) 1/4)
(pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow (/ -1 (pow eps 3)) 1/4) (pow x 2))) (pow (* -1 eps) 1/4))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) x) x (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow eps 7)) 1/4) (pow x 2))))) (pow (* -1 eps) 1/4))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -3/32 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (.f64 x x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* (pow x 2) (+ (* -3/32 (pow (/ -1 (pow eps 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow eps 11)) 1/4) (pow x 2))))))) (pow (* -1 eps) 1/4))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64)) #s(literal -7/128 binary64)) x) x (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal -3/32 binary64))) (.f64 x x) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (.f64 x x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(* -1 (pow (* -1 eps) 1/4))
(neg.f64 (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(- (* 1/4 (* (pow (/ -1 (pow eps 3)) 1/4) (pow x 2))) (pow (* -1 eps) 1/4))
(-.f64 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) x) x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(- (* (pow x 2) (- (* 3/32 (* (pow (/ -1 (pow eps 7)) 1/4) (pow x 2))) (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)))) (pow (* -1 eps) 1/4))
(-.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 3/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64))) x) x (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 x x)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(- (* (pow x 2) (- (* (pow x 2) (- (* 7/128 (* (pow (/ -1 (pow eps 11)) 1/4) (pow x 2))) (* -3/32 (pow (/ -1 (pow eps 7)) 1/4)))) (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)))) (pow (* -1 eps) 1/4))
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 7/128 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64))) x) x (.f64 #s(literal 3/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)))) (.f64 x x) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 x x)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))
(/ (- (* 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 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) eps) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (.f64 eps eps) x) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(.f64 (fma.f64 (.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 eps x) (fma.f64 (.f64 eps eps) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))) x x)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) x)) x) x)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))))
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) eps) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (.f64 eps eps) x) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) eps) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
(+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))))
(fma.f64 (.f64 #s(literal -3/32 binary64) (.f64 eps eps)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) eps) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)))
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(* eps (- (/ (pow x 2) eps) 1))
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(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps)))
(.f64 (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* 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) (pow (sqrt -1) 3)))) (/ x eps)))))
(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps)
(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)))
(fma.f64 (.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))) (.f64 x (/.f64 x eps))) #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2))))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64)) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)))) eps)) eps))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/12 (pow x 6)) (+ (* -1/384 (pow x 6)) (* 1/32 (pow x 6))))) (pow eps 3)))))
(fma.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -7/128 binary64)) eps)) (.f64 eps eps)) (fma.f64 (.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))) (.f64 x (/.f64 x eps))) #s(literal -1/4 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)))))
(* -1 (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))))
(neg.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))))
(- (* 1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))))
(-.f64 (.f64 (.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))) (.f64 x (/.f64 x eps))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))))
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2))) (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps))))
(-.f64 (.f64 (neg.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (/.f64 #s(literal -3/32 binary64) eps))) (fma.f64 (.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))) (.f64 x (/.f64 x eps))) #s(literal -1/4 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)))))
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/12 (pow x 6)) (+ (* -1/384 (pow x 6)) (* 1/32 (pow x 6))))) (pow eps 3))) (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2)))))
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -7/128 binary64)) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)))) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64)) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)))) eps)) eps)))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (neg.f64 eps) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) eps)) eps))))
(* -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 (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* 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 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* 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 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 x eps))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))
(*.f64 (neg.f64 eps) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)))))
(.f64 (neg.f64 eps) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) eps))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1))))) eps))) eps)))))
(.f64 (neg.f64 eps) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) eps)) eps))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/32 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))) eps) #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/32 (pow x 6)) (+ (* 1/384 (pow x 6)) (* 1/12 (pow x 6)))))) (* (pow (* -1 eps) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) eps)) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/32 binary64) (.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/128 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)))) (neg.f64 eps))) eps) #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(- (* -1 (/ (- (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)))) (neg.f64 eps)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(- (* -1 (/ (- (* -1 (/ (- (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/32 (pow x 6)) (+ (* 1/384 (pow x 6)) (* 1/12 (pow x 6))))) (* (pow (* -1 eps) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) eps)) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/128 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))) (neg.f64 eps))) (neg.f64 eps)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))

rewrite195.0ms (2.6%)

Memory

-9.0MiB live, 183.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	164
0	48	155
1	158	155
2	1146	143
0	8813	143

Stop Event

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

Counts

18 → 741

Calls

Call 1

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

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

eval260.0ms (3.5%)

Memory: 8.4MiB live, 148.8MiB allocated
Compiler: Compiled 37 255 to 3 725 computations (90% saved)

prune38.0ms (0.5%)

Memory

2.9MiB live, 47.5MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 081	15	1 096
Fresh	5	1	6
Picked	3	2	5
Done	0	1	1
Total	1 089	19	1 108

Accuracy

99.8%

Counts

1 108 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.8%	(fma.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64))) x)
	58.1%	(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) x)
▶	58.5%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
	44.4%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (-.f64 (.f64 x x) eps))) (.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
▶	58.6%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
▶	58.5%	(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
✓	58.4%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
▶	55.0%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
✓	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	54.5%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	7.1%	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	24.7%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
	45.6%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
	47.5%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
	45.6%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) eps))
	45.5%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (/.f64 (fma.f64 (.f64 (/.f64 eps x) (/.f64 #s(literal 1/8 binary64) x)) x (.f64 x #s(literal 1/2 binary64))) (.f64 x x)) eps))
	24.7%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64)))))
▶	4.4%	#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))

Compiler

Compiled 931 to 449 computations (51.8% saved)

simplify154.0ms (2.1%)

Memory

16.2MiB live, 106.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	4	(.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
cost-diff	11	(+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
cost-diff	24	(-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
cost-diff	32	(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
cost-diff	0	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
cost-diff	17	(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) eps)
cost-diff	0	(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps))))
cost-diff	0	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
cost-diff	0	#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
cost-diff	0	(-.f64 (*.f64 x x) eps)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
cost-diff	8	(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	479
0	49	408
1	92	375
2	318	358
3	1354	324
4	6013	322
0	8059	322

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))
(*.f64 x x)
x
(-.f64 (*.f64 x x) eps)
eps
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
x
(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps))))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
eps
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
#s(approx (- (* x x) eps) (neg.f64 eps))
(neg.f64 eps)
(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(*.f64 x x)
x
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
eps
(/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(*.f64 x x)
x
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
eps
(.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))

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

localize231.0ms (3.1%)

Memory

-50.5MiB live, 146.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
accuracy	0.27734375	(/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
accuracy	4.676191166701597	(/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
accuracy	25.75193352493161	(-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
accuracy	0.03125	(-.f64 (*.f64 x x) eps)
accuracy	0.27734375	(/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
accuracy	4.676191166701597	(/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
accuracy	26.287228625606623	(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
accuracy	0.03125	(-.f64 (*.f64 x x) eps)
accuracy	0.30078125	(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps))))
accuracy	26.359096354816003	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
accuracy	28.034614525164365	#s(approx (- (* x x) eps) (neg.f64 eps))
accuracy	61.17018541018215	#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
accuracy	0.015625	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.03125	(-.f64 (*.f64 x x) eps)
accuracy	0.234375	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
accuracy	25.87775561278786	(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))

Samples

147.0ms	89×	1	valid
27.0ms	144×	0	valid
24.0ms	23×	2	valid

Compiler

Compiled 467 to 27 computations (94.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

adjust: 87.0ms (49.5% of total)

ival-sub: 26.0ms (14.8% of total)

ival-pow: 20.0ms (11.4% of total)

ival-add: 17.0ms (9.7% of total)

ival-div: 11.0ms (6.3% of total)

ival-mult: 8.0ms (4.6% of total)

ival-neg: 3.0ms (1.7% of total)

ival-sqrt: 3.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series166.0ms (2.2%)

Memory

33.8MiB live, 129.4MiB allocated

Counts

18 → 236

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 x x)
(-.f64 (*.f64 x x) eps)
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps))))
(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
#s(approx (- (* x x) eps) (neg.f64 eps))
(/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))

Outputs
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))))
(pow x 2)
(* -1 eps)
(- (pow x 2) eps)
(* -1 (* (sqrt eps) (sqrt -1)))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* x (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))))))))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (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)))))))))
(* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1 (/ x (* eps (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(* (pow x 2) (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(+ x (* (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)))
(+ (* x (- (* x (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (/ 1 (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (+ (* -1 (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -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)) (* (sqrt -1) (- (* 2 (/ 1 (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (* x (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (- (* 2 (/ 1 (pow (sqrt -1) 4))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5)))))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (/ 1 (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (+ (* -1 (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))) (+ (* -1 (- (* -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)))) (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* 2 (/ 1 (* eps (pow (sqrt -1) 2))))))) (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) (sqrt -1)))))))) (+ (* -1 (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* -1 (/ eps (pow (sqrt -1) 2)))
(- (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (/ eps (pow (sqrt -1) 2)))
(- (* x (+ (* 2 (* (sqrt eps) (/ 1 (pow (sqrt -1) 3)))) (* x (- (* 2 (/ 1 (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (/ eps (pow (sqrt -1) 2)))
(- (* x (+ (* 2 (* (sqrt eps) (/ 1 (pow (sqrt -1) 3)))) (* x (- (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (* x (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (- (* 2 (/ 1 (pow (sqrt -1) 4))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5))))))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (/ eps (pow (sqrt -1) 2)))
(* -1 (* (sqrt eps) (/ 1 (sqrt -1))))
(- (/ x (pow (sqrt -1) 2)) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (* x (+ (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (* x (+ (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* x (- (* -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)))) (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* 2 (/ 1 (* eps (pow (sqrt -1) 2))))))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(/ (pow x 4) (* eps (pow (sqrt -1) 2)))
(* (pow x 4) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ x (pow (sqrt -1) 3)))) (/ 1 (* eps (pow (sqrt -1) 2)))))
(* (pow x 4) (+ (* x (- (* 2 (/ x (* (pow eps 2) (pow (sqrt -1) 4)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* eps (pow (sqrt -1) 2)))))
(* (pow x 4) (+ (* x (- (* x (+ (* -1 (* x (+ (* -4 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (pow (sqrt -1) 5)))) (* (sqrt (/ 1 (pow eps 5))) (/ 1 (pow (sqrt -1) 5))))))) (* 2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* eps (pow (sqrt -1) 2)))))
(+ (* -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)))))
(/ eps (pow (sqrt -1) 2))
(+ (* -2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (/ eps (pow (sqrt -1) 2)))
(+ (* x (- (* x (- (* 2 (/ 1 (pow (sqrt -1) 4))) (* 2 (/ 1 (pow (sqrt -1) 2))))) (* 2 (* (sqrt eps) (/ 1 (pow (sqrt -1) 3)))))) (/ eps (pow (sqrt -1) 2)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (- (* 2 (/ 1 (pow (sqrt -1) 4))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5))))))) (* 2 (/ 1 (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow (sqrt -1) 2))))) (* 2 (* (sqrt eps) (/ 1 (pow (sqrt -1) 3)))))) (/ eps (pow (sqrt -1) 2)))
(* 1/2 (/ eps x))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -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)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) x)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (* 1/16 (/ (pow eps 2) (pow x 4)))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3))) (pow x 6)))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4))))))
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(/ (- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (* 1/2 eps)) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (* eps (- (* 1/4 eps) (* 1/2 eps))) (pow x 2)))))) x)
(/ (- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (* 1/2 eps)))) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/8 (pow eps 2)))) (pow x 4))) (+ (* 1/2 (/ (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* 1/2 (/ (* eps (- (* 1/4 eps) (* 1/2 eps))) (pow x 2))) (/ (* (- (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/16 (pow eps 2)) (+ (* 1/4 (pow eps 2)) (* 1/2 (* eps (- (* 1/4 eps) (* 1/2 eps))))))) (- (* 1/4 eps) (* 1/2 eps))) (pow x 4))))))))) x)
(/ (- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* 1/4 (/ (* (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 6))) (+ (* 1/2 eps) (* 1/2 (/ (* eps (+ (* -1/2 (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/4 (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))))))) (pow x 6))))))))) (+ (* -1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/32 (/ (* eps (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (+ (* -2 (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3)))) (* -1/16 (pow eps 3)))) (pow x 6))) (+ (* 1/2 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/8 (pow eps 2)))) (pow x 4))) (+ (* 1/2 (/ (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* 1/2 (/ (* eps (+ (* 1/32 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/2 (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))))) (pow x 6))) (+ (* 1/2 (/ (* eps (- (* 1/4 eps) (* 1/2 eps))) (pow x 2))) (+ (/ (* (+ (* -1/8 (pow eps 2)) (* 1/8 (pow eps 2))) (- (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/16 (pow eps 2)) (+ (* 1/4 (pow eps 2)) (* 1/2 (* eps (- (* 1/4 eps) (* 1/2 eps)))))))) (pow x 6)) (+ (/ (* (- (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/16 (pow eps 2)) (+ (* 1/4 (pow eps 2)) (* 1/2 (* eps (- (* 1/4 eps) (* 1/2 eps))))))) (- (* 1/4 eps) (* 1/2 eps))) (pow x 4)) (/ (* (- (* 1/4 eps) (* 1/2 eps)) (- (+ (* -1/2 (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))))) (+ (* 1/32 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* 1/2 (* eps (+ (* -1/8 (pow eps 2)) (* 1/8 (pow eps 2))))) (+ (* 1/2 (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* (- (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/16 (pow eps 2)) (+ (* 1/4 (pow eps 2)) (* 1/2 (* eps (- (* 1/4 eps) (* 1/2 eps))))))) (- (* 1/4 eps) (* 1/2 eps)))))))) (pow x 6))))))))))))))) x)
(* 1/2 eps)
(- (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 eps) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 2))))))
(- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 4))) (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))))) (+ (* -1/2 eps) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))))))))
(- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* 1/4 (/ (* (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 6))) (* 1/2 (/ (* eps (+ (* -1/2 (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/4 (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))))))) (pow x 6)))))))) (+ (* -1/2 eps) (+ (* -1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/32 (/ (* eps (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 (/ (* eps (+ (* 1/32 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/2 (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))))) (pow x 6)))))))))))
(* x (- (+ 1 (* 1/4 (/ eps (pow x 2)))) (* 1/2 (/ eps (pow x 2)))))
(* x (- (+ 1 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/4 (/ eps (pow x 2)))))) (* 1/2 (/ eps (pow x 2)))))
(* x (- (+ 1 (+ (* -2 (/ (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/4 (/ eps (pow x 2)))))))) (* 1/2 (/ eps (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/8 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ 1/4 (* -1 (/ (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (pow x 4)))) (* -1/8 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ 1/4 (* -1 (/ (+ (* 1/32 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/2 (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (pow x 6)))) (+ (* -1/8 (/ eps (pow x 2))) (+ (* -1/16 (/ (pow eps 2) (pow x 4))) (* 1/16 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4)))))))
(* x (- (+ 1/2 (* -1/2 (/ eps (pow x 2)))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))) (pow x 4))) (* -1/2 (/ eps (pow x 2))))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (* (pow eps 2) (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/64 (pow eps 3)) (* 1/4 (* eps (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))))))) (pow x 6))) (* -1/2 (/ eps (pow x 2))))) (+ (* -1/4 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/32 (/ (pow eps 2) (pow x 4)))))))
(* (pow x 2) (- (+ 1/4 (* -1/2 (/ eps (pow x 2)))) (* -1/8 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ 1/4 (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 4))))) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* 1/16 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4)))))))
(* (pow x 2) (- (+ 1/4 (+ (* -1 (/ (+ (* -1/2 (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/4 (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps)))))) (pow x 6))) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 4)))))) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* 1/16 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4)))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) 2)))
(* -1 (* x (- (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* 2 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* -1 (* x (- (* 2 (/ eps (pow x 2))) (+ 2 (* 3/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))))) (pow x 4))) (* 2 (/ eps (pow x 2)))) (+ 2 (+ (* -3/4 (/ (* eps (- (* 2 eps) (* 3/2 eps))) (pow x 4))) (+ (* 1/2 (/ (* eps (+ (* -2 (+ (* -1/4 eps) (* 1/8 eps))) (* -1/2 eps))) (pow x 4))) (* 3/2 (/ eps (pow x 2)))))))))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))))) (pow x 4))) (+ (* -1/4 (/ (* eps (- (+ (* -40 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 3))) (+ (* -1/2 (* eps (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))))))) (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow eps 2))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 3))) (+ (* -1/2 (* eps (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))))))) (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow eps 2))))))) (pow x 6))) (* 2 (/ eps (pow x 2))))) (+ 2 (+ (* -3/4 (/ (* eps (- (* -1/4 (* eps (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))))))) (+ (* -3/4 (* eps (- (* 2 eps) (* 3/2 eps)))) (* 1/2 (* eps (+ (* -2 (+ (* -1/4 eps) (* 1/8 eps))) (* -1/2 eps))))))) (pow x 6))) (+ (* -3/4 (/ (* eps (- (* 2 eps) (* 3/2 eps))) (pow x 4))) (+ (* -1/4 (/ (* eps (* (+ (* -2 (+ (* -1/4 eps) (* 1/8 eps))) (* -1/2 eps)) (- (* 2 eps) (* 3/2 eps)))) (pow x 6))) (+ (* 1/2 (/ (* eps (+ (* -2 (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2))))) (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (pow x 6))) (+ (* 1/2 (/ (* eps (+ (* -2 (+ (* -1/4 eps) (* 1/8 eps))) (* -1/2 eps))) (pow x 4))) (* 3/2 (/ eps (pow x 2))))))))))))
(* 8 (/ (pow x 4) eps))
(* (pow x 4) (- (* 8 (/ 1 eps)) (* 8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* 1/2 (/ (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (* 8 (/ 1 eps)))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* 1/2 (/ (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow x 4) (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* -40 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 3) (pow x 6)))) (+ (* -1/2 (/ (* eps (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4)))))) (pow x 6))) (+ (* 1/2 (/ (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (+ (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (* (pow eps 2) (pow x 6)))) (* 8 (/ 1 eps))))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* -8 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 3) (pow x 6)))) (+ (* -1/2 (/ (* eps (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4)))))) (pow x 6))) (+ (* 1/2 (/ (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (+ (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (* (pow eps 2) (pow x 6)))) (* 8 (/ 1 (pow x 2))))))))))
(* 4 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (- (* 3 (/ 1 (pow x 2))) (* 4 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -2 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (+ (* -1/2 (/ eps (pow x 4))) (* 3 (/ 1 (pow x 2))))) (* 4 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -2 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (+ (* -2 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 6))) (* 3 (/ 1 (pow x 2)))))))) (* 4 (/ 1 eps)))))
(* 4 (/ (pow x 6) (pow eps 2)))
(* (pow x 6) (- (* 4 (/ 1 (pow eps 2))) (* 2 (/ 1 (* eps (pow x 2))))))
(* (pow x 6) (- (+ (* 4 (/ 1 (pow eps 2))) (/ 1 (pow x 4))) (+ (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 4) (pow x 4)))) (/ 2 (* eps (pow x 2))))))
(* (pow x 6) (- (+ (* -1 (/ (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))))) (pow x 6))) (+ (* 4 (/ 1 (pow eps 2))) (/ 1 (pow x 4)))) (+ (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 4) (pow x 4)))) (/ 2 (* eps (pow x 2))))))
(* -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)))))))
(* (pow x 6) (- (* 4 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps (pow x 2))))))
(* (pow x 6) (- (+ (* 4 (/ 1 (pow eps 2))) (/ 9 (pow x 4))) (+ (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 4) (pow x 4)))) (/ 10 (* eps (pow x 2))))))
(* (pow x 6) (- (+ (* -1 (/ (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))))) (pow x 6))) (+ (* 4 (/ 1 (pow eps 2))) (/ 9 (pow x 4)))) (+ (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 4) (pow x 4)))) (/ 10 (* eps (pow x 2))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ (* -1 eps) (pow x 2))
(+ x (* -1 x))
(+ x (+ (* -1 x) (* 1/2 (/ eps x))))
(+ x (+ (* -1 x) (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
(+ x (+ (* -1 x) (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* 1/8 (/ eps x)) (* 1/2 x))
(+ (* 1/2 x) (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 1/8 (/ 1 x)))))
(+ (* 1/2 x) (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x)))))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* eps (+ 1/2 (* 1/32 (/ (pow eps 2) (pow x 4)))))
(* eps (+ 1/2 (* (pow eps 2) (+ (* 1/32 (/ eps (pow x 6))) (* 1/32 (/ 1 (pow x 4)))))))
(* eps (+ 1/2 (* (pow eps 2) (+ (* eps (+ (* 7/256 (/ eps (pow x 8))) (* 1/32 (/ 1 (pow x 6))))) (* 1/32 (/ 1 (pow x 4)))))))
(+ x (* -1/4 (/ eps x)))
(+ x (* eps (- (* 1/64 (/ (pow eps 2) (pow x 5))) (* 1/4 (/ 1 x)))))
(+ x (* eps (- (* (pow eps 2) (+ (* 1/64 (/ eps (pow x 7))) (* 1/64 (/ 1 (pow x 5))))) (* 1/4 (/ 1 x)))))
(+ (* 1/8 eps) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* eps (+ 1/8 (* 5/64 (/ eps (pow x 2))))))
(+ (* 1/4 (pow x 2)) (* eps (+ 1/8 (* eps (+ (* 7/128 (/ eps (pow x 4))) (* 5/64 (/ 1 (pow x 2))))))))
(+ (* -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)))))
(+ (* -3/8 eps) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* eps (- (* 5/64 (/ eps (pow x 2))) 3/8)))
(+ (* 1/4 (pow x 2)) (* eps (- (* eps (+ (* 3/128 (/ eps (pow x 4))) (* 5/64 (/ 1 (pow x 2))))) 3/8)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps)))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps))))
(* 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) (pow (sqrt -1) 3)))) (/ x eps)))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(/ (+ (* -1 (/ (pow x 3) (pow (sqrt -1) 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (pow x 3) (pow (sqrt -1) 2))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 5)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ (pow x 3) (pow (sqrt -1) 2))))) eps)
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) eps)))
(- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4))))))) (* (sqrt eps) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (* (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* -1 (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))))))))) (+ (* -1 (/ (+ (* -2 (/ (* eps (pow x 3)) (pow (sqrt -1) 2))) (+ (* -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))) (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) eps)))))
(- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 7))) (* (sqrt -1) (- (+ (* 2 (* (sqrt eps) (/ (* x (- (/ (* eps (pow x 4)) (pow (sqrt -1) 2)) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* 2 (/ (* eps (* (pow x 2) (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3))))))) (pow (sqrt -1) 2))) (* (sqrt (pow eps 5)) (/ (pow x 3) (pow (sqrt -1) 5))))) (* 2 (* (sqrt (pow eps 3)) (/ (pow x 5) (pow (sqrt -1) 3)))))))) (* (sqrt eps) (/ 1 (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (* (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* -1 (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 7))) (* (sqrt -1) (* (+ (* -2 (/ (* eps (pow x 3)) (pow (sqrt -1) 2))) (+ (* -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)))))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* -1 (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 7))) (* (sqrt -1) (* (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4))))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* -1 (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))))))))) (* -1 (+ (* -2 (/ (* eps (pow x 3)) (pow (sqrt -1) 2))) (+ (* -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))))))))))))) (+ (* -1 (/ (+ (* -2 (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (+ (* -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))) (+ (* -1 (/ (+ (* -2 (/ (* eps (pow x 3)) (pow (sqrt -1) 2))) (+ (* -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))) (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) eps))))))))
(- (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (/ eps (pow (sqrt -1) 2))))
(- (+ (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (pow x 2) (pow (sqrt -1) 4))))) (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (/ eps (pow (sqrt -1) 2))))
(- (+ (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (/ (* x (- (/ (* eps (pow x 4)) (pow (sqrt -1) 2)) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* 2 (/ (* (pow x 2) (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (* (pow eps 2) (pow (sqrt -1) 2)))) (+ (* 2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt (/ 1 eps)) (/ (pow x 3) (pow (sqrt -1) 5)))))))) (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 5) (pow (sqrt -1) 3)))) (/ eps (pow (sqrt -1) 2)))))
(- (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -2 (/ (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)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (/ x (pow (sqrt -1) 2)))))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -2 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 3))) (+ (* -2 (/ (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)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (/ x (pow (sqrt -1) 2))))))))) (* (sqrt eps) (/ 1 (sqrt -1))))
(/ (+ (* -2 (* (sqrt eps) (/ (pow x 5) (pow (sqrt -1) 3)))) (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow eps 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* (pow eps 2) (pow x 6)) (pow (sqrt -1) 4))) (* 2 (/ (* (pow eps 2) (pow x 6)) (pow (sqrt -1) 4)))) (pow eps 2))) (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (* 2 (* (sqrt eps) (/ (pow x 5) (pow (sqrt -1) 3))))) (pow eps 2))
(/ (- (+ (* -1 (/ (+ (* -4 (* (sqrt (pow eps 5)) (/ (pow x 7) (pow (sqrt -1) 5)))) (+ (* -2 (* (sqrt eps) (/ (* x (+ (* -4 (/ (* (pow eps 2) (pow x 6)) (pow (sqrt -1) 4))) (* 2 (/ (* (pow eps 2) (pow x 6)) (pow (sqrt -1) 4))))) (sqrt -1)))) (* (sqrt (pow eps 5)) (/ (pow x 7) (pow (sqrt -1) 5))))) (pow eps 3))) (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (+ (* -4 (/ (pow x 6) (pow (sqrt -1) 4))) (+ (* 2 (* (sqrt eps) (/ (pow x 5) (pow (sqrt -1) 3)))) (* 2 (/ (pow x 6) (pow (sqrt -1) 4)))))) (pow eps 2))
(- (+ (* -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))))))
(- (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (/ eps (pow (sqrt -1) 2))) (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))))
(- (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (+ (/ eps (pow (sqrt -1) 2)) (/ (pow x 4) (* eps (pow (sqrt -1) 2))))) (+ (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (* x (- (/ (* eps (pow x 4)) (pow (sqrt -1) 2)) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* 2 (/ (* eps (* (pow x 2) (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3))))))) (pow (sqrt -1) 2))) (* (sqrt (pow eps 5)) (/ (pow x 3) (pow (sqrt -1) 5))))) (pow eps 3))) (+ (/ eps (pow (sqrt -1) 2)) (/ (pow x 4) (* eps (pow (sqrt -1) 2)))))) (+ (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (pow x 2) (pow (sqrt -1) 4))))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1))))) eps))) eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (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 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(* -1 (/ (+ (* -1 (pow x 3)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1))))))))) (* -1/2 (* eps (pow x 5)))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))))) eps)) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2)))))) (+ (* -1 (- (* 2 (* 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))))))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x)))))))))) eps)) (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2))))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (+ (* -2 (* eps (* (pow x 2) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))))))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))))))) (* (sqrt (pow eps 5)) (* (pow x 3) (sqrt -1))))) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))))) (+ (* -1 (- (* -2 (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -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)))))) (+ (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (- (* 2 (* 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)))))) (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x)))))))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2)))))) (+ (* -1 (- (* 2 (* 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))))))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x)))))))))))))))) eps)) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))))) (+ (* -1 (- (* 2 (* 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))))))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x)))))))))) eps)) (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2))))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))))) eps)))
(- (* -1 (/ (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))) eps)) (* -1 eps))
(- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2)))) eps)) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) (* -2 (* eps (pow x 2)))) eps)) (* -1 eps))
(- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (* eps (* (pow x 2) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))))))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))))))) (* (sqrt (pow eps 5)) (* (pow x 3) (sqrt -1))))) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))) eps)) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))) eps)) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) (* -2 (* eps (pow x 2)))) eps)) (* -1 eps))
(+ (* -1 (/ (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (* 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)) (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -2 (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -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)) (* 2 (* 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)) (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (/ (pow x 4) eps))
(/ (+ (* -1 (* eps (pow x 4))) (* 2 (* (sqrt eps) (* (pow x 5) (sqrt -1))))) (pow eps 2))
(/ (+ (* -1 (* eps (pow x 4))) (* -1 (/ (- (+ (* -4 (* eps (pow x 6))) (* 2 (* eps (pow x 6)))) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))) eps))) (pow eps 2))
(/ (+ (* -1 (* eps (pow x 4))) (* -1 (/ (- (* -1 (/ (- (+ (* -4 (* (sqrt (pow eps 3)) (* (pow x 7) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -4 (* (pow eps 2) (pow x 6))) (* 2 (* (pow eps 2) (pow x 6)))))))) (* (sqrt (pow eps 3)) (* (pow x 7) (sqrt -1))))) (+ (* -4 (* (pow eps 2) (pow x 6))) (* 2 (* (pow eps 2) (pow x 6))))) eps)) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))) eps))) (pow eps 2))
(+ (* -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)))
(+ (* -1 eps) (* -1 (/ (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) eps)))
(+ (* -1 eps) (* -1 (/ (- (+ (* -2 (* eps (pow x 2))) (* -1 (/ (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))) eps))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) eps)))
(+ (* -1 eps) (* -1 (/ (- (+ (* -2 (* eps (pow x 2))) (* -1 (/ (- (+ (* -2 (* (pow x 2) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))) (+ (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))))))) (* (sqrt (pow eps 3)) (* (pow x 3) (sqrt -1)))))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))) eps))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) eps)))

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	eps	@	0	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (/ (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))))
49.0ms	eps	@	-inf	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (/ (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))))
17.0ms	x	@	-inf	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (/ (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))))
14.0ms	eps	@	inf	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (/ (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))))
13.0ms	x	@	inf	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (/ (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (- (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)))) (+ (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (* (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (* x x) (+ (sqrt (- (* x x) eps)) x))) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (* (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))))

simplify245.0ms (3.3%)

Memory

1.7MiB live, 225.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1793	12350
1	6504	11802
0	8262	11231

Stop Event

1×	iter limit
1×	node limit

Counts

236 → 234

Calls

Call 1

Inputs
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))))
(pow x 2)
(* -1 eps)
(- (pow x 2) eps)
(* -1 (* (sqrt eps) (sqrt -1)))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* x (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))))))))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (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)))))))))
(* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1 (/ x (* eps (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(* (pow x 2) (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))
(+ x (* (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)))
(+ (* x (- (* x (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (/ 1 (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (+ (* -1 (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -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)) (* (sqrt -1) (- (* 2 (/ 1 (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (* x (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (- (* 2 (/ 1 (pow (sqrt -1) 4))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5)))))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (/ 1 (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (+ (* -1 (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))) (+ (* -1 (- (* -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)))) (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* 2 (/ 1 (* eps (pow (sqrt -1) 2))))))) (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))) (sqrt -1)))))))) (+ (* -1 (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* -1 (/ eps (pow (sqrt -1) 2)))
(- (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (/ eps (pow (sqrt -1) 2)))
(- (* x (+ (* 2 (* (sqrt eps) (/ 1 (pow (sqrt -1) 3)))) (* x (- (* 2 (/ 1 (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (/ eps (pow (sqrt -1) 2)))
(- (* x (+ (* 2 (* (sqrt eps) (/ 1 (pow (sqrt -1) 3)))) (* x (- (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (* x (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (- (* 2 (/ 1 (pow (sqrt -1) 4))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5))))))) (* 2 (/ 1 (pow (sqrt -1) 4))))))) (/ eps (pow (sqrt -1) 2)))
(* -1 (* (sqrt eps) (/ 1 (sqrt -1))))
(- (/ x (pow (sqrt -1) 2)) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (* x (+ (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (* x (+ (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* x (- (* -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)))) (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* 2 (/ 1 (* eps (pow (sqrt -1) 2))))))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(/ (pow x 4) (* eps (pow (sqrt -1) 2)))
(* (pow x 4) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ x (pow (sqrt -1) 3)))) (/ 1 (* eps (pow (sqrt -1) 2)))))
(* (pow x 4) (+ (* x (- (* 2 (/ x (* (pow eps 2) (pow (sqrt -1) 4)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* eps (pow (sqrt -1) 2)))))
(* (pow x 4) (+ (* x (- (* x (+ (* -1 (* x (+ (* -4 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ 1 (pow (sqrt -1) 5)))) (* (sqrt (/ 1 (pow eps 5))) (/ 1 (pow (sqrt -1) 5))))))) (* 2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* eps (pow (sqrt -1) 2)))))
(+ (* -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)))))
(/ eps (pow (sqrt -1) 2))
(+ (* -2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (/ eps (pow (sqrt -1) 2)))
(+ (* x (- (* x (- (* 2 (/ 1 (pow (sqrt -1) 4))) (* 2 (/ 1 (pow (sqrt -1) 2))))) (* 2 (* (sqrt eps) (/ 1 (pow (sqrt -1) 3)))))) (/ eps (pow (sqrt -1) 2)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (- (* 2 (/ 1 (pow (sqrt -1) 4))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 5))))))) (* 2 (/ 1 (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow (sqrt -1) 2))))) (* 2 (* (sqrt eps) (/ 1 (pow (sqrt -1) 3)))))) (/ eps (pow (sqrt -1) 2)))
(* 1/2 (/ eps x))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -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)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) x)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (* 1/16 (/ (pow eps 2) (pow x 4)))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3))) (pow x 6)))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4))))))
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(/ (- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (* 1/2 eps)) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (* eps (- (* 1/4 eps) (* 1/2 eps))) (pow x 2)))))) x)
(/ (- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (* 1/2 eps)))) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/8 (pow eps 2)))) (pow x 4))) (+ (* 1/2 (/ (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* 1/2 (/ (* eps (- (* 1/4 eps) (* 1/2 eps))) (pow x 2))) (/ (* (- (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/16 (pow eps 2)) (+ (* 1/4 (pow eps 2)) (* 1/2 (* eps (- (* 1/4 eps) (* 1/2 eps))))))) (- (* 1/4 eps) (* 1/2 eps))) (pow x 4))))))))) x)
(/ (- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* 1/4 (/ (* (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 6))) (+ (* 1/2 eps) (* 1/2 (/ (* eps (+ (* -1/2 (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/4 (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))))))) (pow x 6))))))))) (+ (* -1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/32 (/ (* eps (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (+ (* -2 (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3)))) (* -1/16 (pow eps 3)))) (pow x 6))) (+ (* 1/2 (/ (* eps (+ (* -1/8 (pow eps 2)) (* 1/8 (pow eps 2)))) (pow x 4))) (+ (* 1/2 (/ (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* 1/2 (/ (* eps (+ (* 1/32 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/2 (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))))) (pow x 6))) (+ (* 1/2 (/ (* eps (- (* 1/4 eps) (* 1/2 eps))) (pow x 2))) (+ (/ (* (+ (* -1/8 (pow eps 2)) (* 1/8 (pow eps 2))) (- (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/16 (pow eps 2)) (+ (* 1/4 (pow eps 2)) (* 1/2 (* eps (- (* 1/4 eps) (* 1/2 eps)))))))) (pow x 6)) (+ (/ (* (- (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/16 (pow eps 2)) (+ (* 1/4 (pow eps 2)) (* 1/2 (* eps (- (* 1/4 eps) (* 1/2 eps))))))) (- (* 1/4 eps) (* 1/2 eps))) (pow x 4)) (/ (* (- (* 1/4 eps) (* 1/2 eps)) (- (+ (* -1/2 (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))))) (+ (* 1/32 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* 1/2 (* eps (+ (* -1/8 (pow eps 2)) (* 1/8 (pow eps 2))))) (+ (* 1/2 (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* (- (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/16 (pow eps 2)) (+ (* 1/4 (pow eps 2)) (* 1/2 (* eps (- (* 1/4 eps) (* 1/2 eps))))))) (- (* 1/4 eps) (* 1/2 eps)))))))) (pow x 6))))))))))))))) x)
(* 1/2 eps)
(- (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 eps) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 2))))))
(- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 4))) (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))))) (+ (* -1/2 eps) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))))))))
(- (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 2))) (+ (* -1/2 (/ (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* 1/4 (/ (* (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (- (* -1/2 eps) (* -1/8 eps))) (pow x 6))) (* 1/2 (/ (* eps (+ (* -1/2 (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/4 (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps))))))) (pow x 6)))))))) (+ (* -1/2 eps) (+ (* -1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ (* -1/16 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/32 (/ (* eps (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (pow x 6))) (+ (* 1/4 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 (/ (* eps (+ (* 1/32 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/2 (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))))) (pow x 6)))))))))))
(* x (- (+ 1 (* 1/4 (/ eps (pow x 2)))) (* 1/2 (/ eps (pow x 2)))))
(* x (- (+ 1 (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/4 (/ eps (pow x 2)))))) (* 1/2 (/ eps (pow x 2)))))
(* x (- (+ 1 (+ (* -2 (/ (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/4 (/ eps (pow x 2)))))))) (* 1/2 (/ eps (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/8 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ 1/4 (* -1 (/ (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (pow x 4)))) (* -1/8 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ 1/4 (* -1 (/ (+ (* 1/32 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/2 (* eps (+ (* -1/16 (pow eps 2)) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (pow x 6)))) (+ (* -1/8 (/ eps (pow x 2))) (+ (* -1/16 (/ (pow eps 2) (pow x 4))) (* 1/16 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4)))))))
(* x (- (+ 1/2 (* -1/2 (/ eps (pow x 2)))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))) (pow x 4))) (* -1/2 (/ eps (pow x 2))))) (* -1/8 (/ eps (pow x 2)))))
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (* (pow eps 2) (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/64 (pow eps 3)) (* 1/4 (* eps (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))))))) (pow x 6))) (* -1/2 (/ eps (pow x 2))))) (+ (* -1/4 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/32 (/ (pow eps 2) (pow x 4)))))))
(* (pow x 2) (- (+ 1/4 (* -1/2 (/ eps (pow x 2)))) (* -1/8 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ 1/4 (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 4))))) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* 1/16 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4)))))))
(* (pow x 2) (- (+ 1/4 (+ (* -1 (/ (+ (* -1/2 (* eps (- (* 1/4 (pow eps 2)) (+ (* -1/2 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* 1/16 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (+ (* 1/16 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (* 1/4 (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 eps) (* -1/8 eps)))))) (pow x 6))) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 (/ (pow eps 2) (pow x 4)))))) (+ (* -1/2 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* 1/16 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4)))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) 2)))
(* -1 (* x (- (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* 2 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps)))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* -1 (* x (- (* 2 (/ eps (pow x 2))) (+ 2 (* 3/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))))) (pow x 4))) (* 2 (/ eps (pow x 2)))) (+ 2 (+ (* -3/4 (/ (* eps (- (* 2 eps) (* 3/2 eps))) (pow x 4))) (+ (* 1/2 (/ (* eps (+ (* -2 (+ (* -1/4 eps) (* 1/8 eps))) (* -1/2 eps))) (pow x 4))) (* 3/2 (/ eps (pow x 2)))))))))
(* -1 (* x (- (+ (* -1/4 (/ (* eps (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))))) (pow x 4))) (+ (* -1/4 (/ (* eps (- (+ (* -40 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 3))) (+ (* -1/2 (* eps (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))))))) (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow eps 2))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 3))) (+ (* -1/2 (* eps (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))))))) (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow eps 2))))))) (pow x 6))) (* 2 (/ eps (pow x 2))))) (+ 2 (+ (* -3/4 (/ (* eps (- (* -1/4 (* eps (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))))))) (+ (* -3/4 (* eps (- (* 2 eps) (* 3/2 eps)))) (* 1/2 (* eps (+ (* -2 (+ (* -1/4 eps) (* 1/8 eps))) (* -1/2 eps))))))) (pow x 6))) (+ (* -3/4 (/ (* eps (- (* 2 eps) (* 3/2 eps))) (pow x 4))) (+ (* -1/4 (/ (* eps (* (+ (* -2 (+ (* -1/4 eps) (* 1/8 eps))) (* -1/2 eps)) (- (* 2 eps) (* 3/2 eps)))) (pow x 6))) (+ (* 1/2 (/ (* eps (+ (* -2 (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2))))) (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (pow x 6))) (+ (* 1/2 (/ (* eps (+ (* -2 (+ (* -1/4 eps) (* 1/8 eps))) (* -1/2 eps))) (pow x 4))) (* 3/2 (/ eps (pow x 2))))))))))))
(* 8 (/ (pow x 4) eps))
(* (pow x 4) (- (* 8 (/ 1 eps)) (* 8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* 1/2 (/ (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (* 8 (/ 1 eps)))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* 1/2 (/ (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (* 8 (/ 1 (pow x 2)))))))
(* (pow x 4) (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* -40 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 3) (pow x 6)))) (+ (* -1/2 (/ (* eps (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4)))))) (pow x 6))) (+ (* 1/2 (/ (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (+ (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (* (pow eps 2) (pow x 6)))) (* 8 (/ 1 eps))))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* -8 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 3) (pow x 6)))) (+ (* -1/2 (/ (* eps (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4)))))) (pow x 6))) (+ (* 1/2 (/ (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (+ (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (* (pow eps 2) (pow x 6)))) (* 8 (/ 1 (pow x 2))))))))))
(* 4 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (- (* 3 (/ 1 (pow x 2))) (* 4 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -2 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (+ (* -1/2 (/ eps (pow x 4))) (* 3 (/ 1 (pow x 2))))) (* 4 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -2 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (+ (* -2 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 6))) (* 3 (/ 1 (pow x 2)))))))) (* 4 (/ 1 eps)))))
(* 4 (/ (pow x 6) (pow eps 2)))
(* (pow x 6) (- (* 4 (/ 1 (pow eps 2))) (* 2 (/ 1 (* eps (pow x 2))))))
(* (pow x 6) (- (+ (* 4 (/ 1 (pow eps 2))) (/ 1 (pow x 4))) (+ (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 4) (pow x 4)))) (/ 2 (* eps (pow x 2))))))
(* (pow x 6) (- (+ (* -1 (/ (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))))) (pow x 6))) (+ (* 4 (/ 1 (pow eps 2))) (/ 1 (pow x 4)))) (+ (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 4) (pow x 4)))) (/ 2 (* eps (pow x 2))))))
(* -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)))))))
(* (pow x 6) (- (* 4 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps (pow x 2))))))
(* (pow x 6) (- (+ (* 4 (/ 1 (pow eps 2))) (/ 9 (pow x 4))) (+ (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 4) (pow x 4)))) (/ 10 (* eps (pow x 2))))))
(* (pow x 6) (- (+ (* -1 (/ (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))))) (pow x 6))) (+ (* 4 (/ 1 (pow eps 2))) (/ 9 (pow x 4)))) (+ (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 4) (pow x 4)))) (/ 10 (* eps (pow x 2))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ (* -1 eps) (pow x 2))
(+ x (* -1 x))
(+ x (+ (* -1 x) (* 1/2 (/ eps x))))
(+ x (+ (* -1 x) (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
(+ x (+ (* -1 x) (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* 1/8 (/ eps x)) (* 1/2 x))
(+ (* 1/2 x) (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 1/8 (/ 1 x)))))
(+ (* 1/2 x) (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x)))))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* eps (+ 1/2 (* 1/32 (/ (pow eps 2) (pow x 4)))))
(* eps (+ 1/2 (* (pow eps 2) (+ (* 1/32 (/ eps (pow x 6))) (* 1/32 (/ 1 (pow x 4)))))))
(* eps (+ 1/2 (* (pow eps 2) (+ (* eps (+ (* 7/256 (/ eps (pow x 8))) (* 1/32 (/ 1 (pow x 6))))) (* 1/32 (/ 1 (pow x 4)))))))
(+ x (* -1/4 (/ eps x)))
(+ x (* eps (- (* 1/64 (/ (pow eps 2) (pow x 5))) (* 1/4 (/ 1 x)))))
(+ x (* eps (- (* (pow eps 2) (+ (* 1/64 (/ eps (pow x 7))) (* 1/64 (/ 1 (pow x 5))))) (* 1/4 (/ 1 x)))))
(+ (* 1/8 eps) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* eps (+ 1/8 (* 5/64 (/ eps (pow x 2))))))
(+ (* 1/4 (pow x 2)) (* eps (+ 1/8 (* eps (+ (* 7/128 (/ eps (pow x 4))) (* 5/64 (/ 1 (pow x 2))))))))
(+ (* -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)))))
(+ (* -3/8 eps) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* eps (- (* 5/64 (/ eps (pow x 2))) 3/8)))
(+ (* 1/4 (pow x 2)) (* eps (- (* eps (+ (* 3/128 (/ eps (pow x 4))) (* 5/64 (/ 1 (pow x 2))))) 3/8)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps)))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps))))
(* 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) (pow (sqrt -1) 3)))) (/ x eps)))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(/ (+ (* -1 (/ (pow x 3) (pow (sqrt -1) 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (pow x 3) (pow (sqrt -1) 2))) eps)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 5)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ (pow x 3) (pow (sqrt -1) 2))))) eps)
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* (sqrt eps) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) eps)))
(- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4))))))) (* (sqrt eps) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (* (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* -1 (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))))))))) (+ (* -1 (/ (+ (* -2 (/ (* eps (pow x 3)) (pow (sqrt -1) 2))) (+ (* -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))) (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) eps)))))
(- (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 7))) (* (sqrt -1) (- (+ (* 2 (* (sqrt eps) (/ (* x (- (/ (* eps (pow x 4)) (pow (sqrt -1) 2)) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* 2 (/ (* eps (* (pow x 2) (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3))))))) (pow (sqrt -1) 2))) (* (sqrt (pow eps 5)) (/ (pow x 3) (pow (sqrt -1) 5))))) (* 2 (* (sqrt (pow eps 3)) (/ (pow x 5) (pow (sqrt -1) 3)))))))) (* (sqrt eps) (/ 1 (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (* (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* -1 (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 7))) (* (sqrt -1) (* (+ (* -2 (/ (* eps (pow x 3)) (pow (sqrt -1) 2))) (+ (* -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)))))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* -1 (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 7))) (* (sqrt -1) (* (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4))))))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) (- (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))) (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))))))) (* -1 (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))))))))) (* -1 (+ (* -2 (/ (* eps (pow x 3)) (pow (sqrt -1) 2))) (+ (* -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))))))))))))) (+ (* -1 (/ (+ (* -2 (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (+ (* -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))) (+ (* -1 (/ (+ (* -2 (/ (* eps (pow x 3)) (pow (sqrt -1) 2))) (+ (* -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))) (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (* eps x) (pow (sqrt -1) 2))) eps))))))))
(- (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (/ eps (pow (sqrt -1) 2))))
(- (+ (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (pow x 2) (pow (sqrt -1) 4))))) (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (/ eps (pow (sqrt -1) 2))))
(- (+ (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 5))) (/ (* x (- (/ (* eps (pow x 4)) (pow (sqrt -1) 2)) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* 2 (/ (* (pow x 2) (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (* (pow eps 2) (pow (sqrt -1) 2)))) (+ (* 2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt (/ 1 eps)) (/ (pow x 3) (pow (sqrt -1) 5)))))))) (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 5) (pow (sqrt -1) 3)))) (/ eps (pow (sqrt -1) 2)))))
(- (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -2 (/ (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)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (/ x (pow (sqrt -1) 2)))))) (* (sqrt eps) (/ 1 (sqrt -1))))
(- (+ (* -2 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 3))) (+ (* -2 (/ (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)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (/ x (pow (sqrt -1) 2))))))))) (* (sqrt eps) (/ 1 (sqrt -1))))
(/ (+ (* -2 (* (sqrt eps) (/ (pow x 5) (pow (sqrt -1) 3)))) (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow eps 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* (pow eps 2) (pow x 6)) (pow (sqrt -1) 4))) (* 2 (/ (* (pow eps 2) (pow x 6)) (pow (sqrt -1) 4)))) (pow eps 2))) (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (* 2 (* (sqrt eps) (/ (pow x 5) (pow (sqrt -1) 3))))) (pow eps 2))
(/ (- (+ (* -1 (/ (+ (* -4 (* (sqrt (pow eps 5)) (/ (pow x 7) (pow (sqrt -1) 5)))) (+ (* -2 (* (sqrt eps) (/ (* x (+ (* -4 (/ (* (pow eps 2) (pow x 6)) (pow (sqrt -1) 4))) (* 2 (/ (* (pow eps 2) (pow x 6)) (pow (sqrt -1) 4))))) (sqrt -1)))) (* (sqrt (pow eps 5)) (/ (pow x 7) (pow (sqrt -1) 5))))) (pow eps 3))) (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (+ (* -4 (/ (pow x 6) (pow (sqrt -1) 4))) (+ (* 2 (* (sqrt eps) (/ (pow x 5) (pow (sqrt -1) 3)))) (* 2 (/ (pow x 6) (pow (sqrt -1) 4)))))) (pow eps 2))
(- (+ (* -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))))))
(- (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (/ eps (pow (sqrt -1) 2))) (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))))
(- (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (+ (/ eps (pow (sqrt -1) 2)) (/ (pow x 4) (* eps (pow (sqrt -1) 2))))) (+ (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (pow x 2) (pow (sqrt -1) 4))))))
(- (+ (* -2 (/ (pow x 2) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (* x (- (/ (* eps (pow x 4)) (pow (sqrt -1) 2)) (+ (* 2 (* (sqrt eps) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (* (pow eps 2) (pow x 2)) (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* 2 (/ (* eps (* (pow x 2) (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3))))))) (pow (sqrt -1) 2))) (* (sqrt (pow eps 5)) (/ (pow x 3) (pow (sqrt -1) 5))))) (pow eps 3))) (+ (/ eps (pow (sqrt -1) 2)) (/ (pow x 4) (* eps (pow (sqrt -1) 2)))))) (+ (* 2 (* (sqrt eps) (/ x (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* -2 (/ (* eps (pow x 2)) (pow (sqrt -1) 2))) (* 2 (* (sqrt (pow eps 3)) (/ x (pow (sqrt -1) 3)))))) (sqrt -1)))) (* 2 (/ (pow x 2) (pow (sqrt -1) 4))))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1))))) eps))) eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (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 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(* -1 (/ (+ (* -1 (pow x 3)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1))))))))) (* -1/2 (* eps (pow x 5)))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))))) eps)) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))))) eps)))
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(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (+ (* -2 (* eps (* (pow x 2) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))))))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))))))) (* (sqrt (pow eps 5)) (* (pow x 3) (sqrt -1))))) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))))) (+ (* -1 (- (* -2 (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -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)))))) (+ (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (- (* 2 (* 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)))))) (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x)))))))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2)))))) (+ (* -1 (- (* 2 (* 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))))))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x)))))))))))))))) eps)) (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))))) (+ (* -1 (- (* 2 (* 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))))))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (* (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) (- (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x)))))))))) eps)) (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2))))))) (* -1 (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))))) eps)))
(- (* -1 (/ (- (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))) (* -2 (* eps (pow x 2)))) eps)) (* -1 eps))
(- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2)))) eps)) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) (* -2 (* eps (pow x 2)))) eps)) (* -1 eps))
(- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (* eps (* (pow x 2) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1)))))))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))))))) (* (sqrt (pow eps 5)) (* (pow x 3) (sqrt -1))))) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))) eps)) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))) eps)) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) (* -2 (* eps (pow x 2)))) eps)) (* -1 eps))
(+ (* -1 (/ (- (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (* 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)) (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -2 (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -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)) (* 2 (* 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)) (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(* -1 (/ (pow x 4) eps))
(/ (+ (* -1 (* eps (pow x 4))) (* 2 (* (sqrt eps) (* (pow x 5) (sqrt -1))))) (pow eps 2))
(/ (+ (* -1 (* eps (pow x 4))) (* -1 (/ (- (+ (* -4 (* eps (pow x 6))) (* 2 (* eps (pow x 6)))) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))) eps))) (pow eps 2))
(/ (+ (* -1 (* eps (pow x 4))) (* -1 (/ (- (* -1 (/ (- (+ (* -4 (* (sqrt (pow eps 3)) (* (pow x 7) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -4 (* (pow eps 2) (pow x 6))) (* 2 (* (pow eps 2) (pow x 6)))))))) (* (sqrt (pow eps 3)) (* (pow x 7) (sqrt -1))))) (+ (* -4 (* (pow eps 2) (pow x 6))) (* 2 (* (pow eps 2) (pow x 6))))) eps)) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))) eps))) (pow eps 2))
(+ (* -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)))
(+ (* -1 eps) (* -1 (/ (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) eps)))
(+ (* -1 eps) (* -1 (/ (- (+ (* -2 (* eps (pow x 2))) (* -1 (/ (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))) eps))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) eps)))
(+ (* -1 eps) (* -1 (/ (- (+ (* -2 (* eps (pow x 2))) (* -1 (/ (- (+ (* -2 (* (pow x 2) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))) (+ (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))))))) (* (sqrt (pow eps 3)) (* (pow x 3) (sqrt -1)))))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))) eps))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) eps)))

Outputs
eps
(* (sqrt eps) (/ 1 (sqrt -1)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))) #s(literal -1 binary64)) x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))) x) #s(literal -1 binary64)) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(pow x 2)
(*.f64 x x)
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(-.f64 (*.f64 x x) eps)
(* -1 (* (sqrt eps) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) x)
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (+ 1 (* x (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))))
(- x (* (sqrt eps) (sqrt -1)))
(-.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
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(* x (- (+ 1 (* 1/4 (/ eps (pow x 2)))) (* 1/2 (/ eps (pow x 2)))))
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(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* 1/8 (/ eps (pow x 2)))))
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(* (pow x 4) (- (* 8 (/ 1 eps)) (* 8 (/ 1 (pow x 2)))))
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(* (pow x 4) (- (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* -40 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 3) (pow x 6)))) (+ (* -1/2 (/ (* eps (+ (* -40 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4)))))) (pow x 6))) (+ (* 1/2 (/ (* eps (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (+ (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 9 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (* (pow eps 2) (pow x 6)))) (* 8 (/ 1 eps))))))) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 3) (pow x 4)))) (+ (* -8 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 3) (pow x 6)))) (+ (* -1/2 (/ (* eps (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 3))) (+ (* 1/2 (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4)))))) (* 16 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4)))))) (pow x 6))) (+ (* 1/2 (/ (* eps (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (pow x 4))) (+ (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- 1 (* 16 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 4))))) (* (pow eps 2) (pow x 6)))) (* 8 (/ 1 (pow x 2))))))))))
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(* 4 (/ (pow x 3) eps))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 4 binary64))
(* -1 (* (pow x 3) (- (* 3 (/ 1 (pow x 2))) (* 4 (/ 1 eps)))))
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(* -1 (* (pow x 3) (- (+ (* -2 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (+ (* -1/2 (/ eps (pow x 4))) (* 3 (/ 1 (pow x 2))))) (* 4 (/ 1 eps)))))
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(* -1 (* (pow x 3) (- (+ (* -2 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (+ (* -2 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 6))) (* 3 (/ 1 (pow x 2)))))))) (* 4 (/ 1 eps)))))
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(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -2 (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -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)) (* 2 (* 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)) (* 2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 2 binary64) (/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) #s(literal -1/2 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 eps) x) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))))) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) eps))) (.f64 (neg.f64 eps) x)) eps)))
(* -1 (/ (pow x 4) eps))
(neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(/ (+ (* -1 (* eps (pow x 4))) (* 2 (* (sqrt eps) (* (pow x 5) (sqrt -1))))) (pow eps 2))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (.f64 (pow.f64 x #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (neg.f64 eps) (pow.f64 x #s(literal 4 binary64)))) (.f64 eps eps))
(/ (+ (* -1 (* eps (pow x 4))) (* -1 (/ (- (+ (* -4 (* eps (pow x 6))) (* 2 (* eps (pow x 6)))) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))) eps))) (pow eps 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) eps (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) eps) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))))) eps))) (.f64 eps eps))
(/ (+ (* -1 (* eps (pow x 4))) (* -1 (/ (- (* -1 (/ (- (+ (* -4 (* (sqrt (pow eps 3)) (* (pow x 7) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -4 (* (pow eps 2) (pow x 6))) (* 2 (* (pow eps 2) (pow x 6)))))))) (* (sqrt (pow eps 3)) (* (pow x 7) (sqrt -1))))) (+ (* -4 (* (pow eps 2) (pow x 6))) (* 2 (* (pow eps 2) (pow x 6))))) eps)) (* 2 (* (sqrt (pow eps 3)) (* (pow x 5) (sqrt -1))))) eps))) (pow eps 2))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) eps (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 eps eps)) #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 eps eps)) #s(literal -2 binary64))) eps) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))))) eps))) (.f64 eps eps))
(+ (* -1 (/ (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x))) eps)))
(+ (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (sqrt.f64 eps) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (*.f64 (neg.f64 eps) x)) eps)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))))))))))) (* -1/2 (* (pow x 2) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 eps) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x))) (neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) x) (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 eps) x) (.f64 (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x))) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64)))))) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 eps) x) (.f64 (fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 #s(literal 1 binary64) (.f64 eps x))) (sqrt.f64 #s(literal -1 binary64)))))) eps))) (.f64 (neg.f64 eps) x)) eps)))
(+ (* -1 eps) (* -1 (/ (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) eps)))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))))) eps) #s(literal -1 binary64) (neg.f64 eps))
(+ (* -1 eps) (* -1 (/ (- (+ (* -2 (* eps (pow x 2))) (* -1 (/ (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))) eps))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) eps)))
(fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (.f64 x x) (neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 eps) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 (sqrt.f64 eps) x) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 eps eps) (.f64 x x))))) eps))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) #s(literal 2 binary64))) eps) #s(literal -1 binary64) (neg.f64 eps))
(+ (* -1 eps) (* -1 (/ (- (+ (* -2 (* eps (pow x 2))) (* -1 (/ (- (+ (* -2 (* (pow x 2) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))) (+ (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* -1 (* eps (pow x 4))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))))))) (* (sqrt (pow eps 3)) (* (pow x 3) (sqrt -1)))))) (+ (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* -2 (* eps (pow x 2))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))))))) (* 2 (* (pow eps 2) (pow x 2))))) eps))) (* 2 (* (sqrt (pow eps 3)) (* x (sqrt -1))))) eps)))
(fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (.f64 x x) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal -2 binary64) eps) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))))) (fma.f64 (neg.f64 eps) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 (-.f64 (.f64 (neg.f64 eps) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 (sqrt.f64 eps) x) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 eps eps) (.f64 x x))))) (sqrt.f64 #s(literal -1 binary64))) x))))) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 (sqrt.f64 eps) x) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 eps eps) (.f64 x x))))) eps))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) #s(literal 2 binary64))) eps) #s(literal -1 binary64) (neg.f64 eps))

rewrite322.0ms (4.3%)

Memory

12.1MiB live, 382.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	381
0	49	250
1	205	207
2	2116	207
0	8190	206

Stop Event

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

Counts

18 → 996

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 x x)
(-.f64 (*.f64 x x) eps)
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps))))
(-.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))))
(+.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))
(.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
#s(approx (- (* x x) eps) (neg.f64 eps))
(/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(.f64 (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)) (/.f64 (-.f64 (.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))

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

eval814.0ms (11%)

Memory: 36.0MiB live, 1 141.2MiB allocated
Compiler: Compiled 285 078 to 11 305 computations (96% saved)

prune61.0ms (0.8%)

Memory

37.0MiB live, 227.7MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	3 663	4	3 667
Fresh	7	4	11
Picked	4	1	5
Done	1	2	3
Total	3 675	11	3 686

Accuracy

100.0%

Counts

3 686 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) x))
▶	99.6%	(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
	54.2%	(-.f64 x (/.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))))
✓	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	54.5%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	7.1%	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	47.5%	#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
▶	45.6%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
	45.6%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) eps))
✓	4.4%	#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))

Compiler

Compiled 375 to 205 computations (45.3% saved)

simplify92.0ms (1.2%)

Memory

-8.2MiB live, 129.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	292
0	63	244
1	106	244
2	296	244
3	958	244
4	2649	244
5	6494	244
0	8120	244

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (1.7%)

Memory

-14.2MiB live, 247.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
accuracy	0.234375	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) x))
accuracy	0.3466987793053261	(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) x)
accuracy	25.87775561278786	(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))
accuracy	0.0546875	(/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
accuracy	0.17578125	(/.f64 (/.f64 eps x) x)
accuracy	5.7369087728784605	(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
accuracy	34.7134858381018	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
accuracy	0.0	(/.f64 eps x)
accuracy	0.0078125	(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
accuracy	26.359096354816003	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
accuracy	33.0785554354477	#s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
accuracy	0.0	(neg.f64 eps)
accuracy	0.015625	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
accuracy	26.359096354816003	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
accuracy	28.034614525164365	#s(approx (- (* x x) eps) (neg.f64 eps))
accuracy	0.0078125	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy	0.015625	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.03125	(-.f64 (*.f64 x x) eps)
accuracy	0.234375	(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))

Samples

40.0ms	89×	1	valid
36.0ms	144×	0	valid
32.0ms	23×	2	valid

Compiler

Compiled 264 to 33 computations (87.5% saved)

Precisions

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

ival-div: 23.0ms (31.7% of total)

ival-mult: 12.0ms (16.6% of total)

ival-sub: 10.0ms (13.8% of total)

adjust: 8.0ms (11% of total)

ival-add: 7.0ms (9.7% of total)

ival-neg: 6.0ms (8.3% of total)

ival-sqrt: 5.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

-12.7MiB live, 32.6MiB allocated

Counts

23 → 127

Calls

Call 1

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

Outputs
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1 (* (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 eps)
(- (pow x 2) eps)
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ eps x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
eps
(/ eps (pow x 2))
(pow (* -1 eps) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow eps 3)) 1/4) (pow x 2))) (pow (* -1 eps) 1/4))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow eps 7)) 1/4) (pow x 2))))) (pow (* -1 eps) 1/4))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* (pow x 2) (+ (* -3/32 (pow (/ -1 (pow eps 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow eps 11)) 1/4) (pow x 2))))))) (pow (* -1 eps) 1/4))
(* 1/2 (/ eps x))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
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)))))))
(/ (- (* 1/8 (/ (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)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))))
(+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))))
(+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))) (* (sqrt (/ 1 (pow x 11))) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (/ (+ (* -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))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* (sqrt x) (sqrt -1))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (* (sqrt x) (sqrt -1)))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))))))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))) (* (sqrt (/ 1 (pow x 11))) (* (sqrt -1) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3)))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ (* -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)))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(* (pow 1 1/4) (sqrt x))
(+ (* -1/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 3)))))) (* (pow 1 1/4) (sqrt x)))
(+ (* eps (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))) (* -3/32 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 7)))))))) (* (pow 1 1/4) (sqrt x)))
(+ (* eps (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))) (* eps (+ (* -3/32 (* (pow 1 1/4) (sqrt (/ 1 (pow x 7))))) (* -7/128 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 11)))))))))) (* (pow 1 1/4) (sqrt x)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/12 (pow x 6)) (+ (* -1/384 (pow x 6)) (* 1/32 (pow x 6))))) (pow eps 3)))))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (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 eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/32 (pow x 6)) (+ (* 1/384 (pow x 6)) (* 1/12 (pow x 6)))))) (* (pow (* -1 eps) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) eps)) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((+ eps 0) (/ (+ eps 0) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x) (neg (neg (sqrt (- (* x x) eps)))) (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x)) (- (* x x) eps) (/ (/ eps x) x) (sqrt (neg (neg (sqrt (- (* x x) eps))))))
3.0ms	eps	@	-inf	((+ eps 0) (/ (+ eps 0) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x) (neg (neg (sqrt (- (* x x) eps)))) (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x)) (- (* x x) eps) (/ (/ eps x) x) (sqrt (neg (neg (sqrt (- (* x x) eps))))))
3.0ms	eps	@	inf	((+ eps 0) (/ (+ eps 0) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x) (neg (neg (sqrt (- (* x x) eps)))) (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x)) (- (* x x) eps) (/ (/ eps x) x) (sqrt (neg (neg (sqrt (- (* x x) eps))))))
3.0ms	x	@	0	((+ eps 0) (/ (+ eps 0) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x) (neg (neg (sqrt (- (* x x) eps)))) (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x)) (- (* x x) eps) (/ (/ eps x) x) (sqrt (neg (neg (sqrt (- (* x x) eps))))))
2.0ms	x	@	inf	((+ eps 0) (/ (+ eps 0) (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x) (neg (neg (sqrt (- (* x x) eps)))) (/ (- (* x x) (- (* x x) eps)) (+ (* (sqrt (neg (neg (sqrt (- (* x x) eps))))) (sqrt (neg (neg (sqrt (- (* x x) eps)))))) x)) (- (* x x) eps) (/ (/ eps x) x) (sqrt (neg (neg (sqrt (- (* x x) eps))))))

simplify167.0ms (2.3%)

Memory

2.1MiB live, 286.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	2853
1	2087	2706
0	8349	2558

Stop Event

1×	iter limit
1×	node limit

Counts

127 → 125

Calls

Call 1

Inputs
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1 (* (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 eps)
(- (pow x 2) eps)
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ eps x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
eps
(/ eps (pow x 2))
(pow (* -1 eps) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow eps 3)) 1/4) (pow x 2))) (pow (* -1 eps) 1/4))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow eps 7)) 1/4) (pow x 2))))) (pow (* -1 eps) 1/4))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* (pow x 2) (+ (* -3/32 (pow (/ -1 (pow eps 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow eps 11)) 1/4) (pow x 2))))))) (pow (* -1 eps) 1/4))
(* 1/2 (/ eps x))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
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)))))))
(/ (- (* 1/8 (/ (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)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))))
(+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))))
(+ (sqrt x) (+ (* -1/4 (* eps (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt (/ 1 (pow x 7))) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))) (* (sqrt (/ 1 (pow x 11))) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (/ (+ (* -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))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* (sqrt x) (sqrt -1))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (* (sqrt x) (sqrt -1)))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2)))))))
(+ (* -1/4 (* (* eps (sqrt -1)) (sqrt (/ 1 (pow x 3))))) (+ (* (sqrt x) (sqrt -1)) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (+ (* -1/8 (pow eps 2)) (* 1/32 (pow eps 2))))) (* (sqrt (/ 1 (pow x 11))) (* (sqrt -1) (+ (* -1/12 (pow eps 3)) (+ (* -1/384 (pow eps 3)) (* 1/32 (pow eps 3)))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ (* -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)))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(* (pow 1 1/4) (sqrt x))
(+ (* -1/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 3)))))) (* (pow 1 1/4) (sqrt x)))
(+ (* eps (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))) (* -3/32 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 7)))))))) (* (pow 1 1/4) (sqrt x)))
(+ (* eps (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow x 3))))) (* eps (+ (* -3/32 (* (pow 1 1/4) (sqrt (/ 1 (pow x 7))))) (* -7/128 (* (pow 1 1/4) (* eps (sqrt (/ 1 (pow x 11)))))))))) (* (pow 1 1/4) (sqrt x)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/12 (pow x 6)) (+ (* -1/384 (pow x 6)) (* 1/32 (pow x 6))))) (pow eps 3)))))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (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 eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/32 (pow x 6)) (+ (* 1/384 (pow x 6)) (* 1/12 (pow x 6)))))) (* (pow (* -1 eps) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) eps)) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))

Outputs
(* (sqrt eps) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) x)
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) x (.f64 (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ x (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x)
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x))
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))))) (.f64 x x) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) x (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) x #s(literal 1 binary64)) x (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(-.f64 (*.f64 x x) eps)
(* -1/2 (/ eps x))
(*.f64 (/.f64 eps x) #s(literal -1/2 binary64))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x x)) x)
(/ eps x)
(/.f64 eps x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (/ eps (pow x 3)))
(*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps)
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/8 binary64) eps (.f64 (.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (/ eps (pow x 2)))
(*.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) eps (.f64 (.f64 x x) #s(literal 1/2 binary64))) x) x)
eps
(/ eps (pow x 2))
(/.f64 (/.f64 eps x) x)
(pow (* -1 eps) 1/4)
(pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow (/ -1 (pow eps 3)) 1/4) (pow x 2))) (pow (* -1 eps) 1/4))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow eps 7)) 1/4) (pow x 2))))) (pow (* -1 eps) 1/4))
(fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal -3/32 binary64)) x) x (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (.f64 x x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(+ (* (pow x 2) (+ (* -1/4 (pow (/ -1 (pow eps 3)) 1/4)) (* (pow x 2) (+ (* -3/32 (pow (/ -1 (pow eps 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow eps 11)) 1/4) (pow x 2))))))) (pow (* -1 eps) 1/4))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -7/128 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64))) x) x (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal -3/32 binary64))) (.f64 x x) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (.f64 x x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/16 binary64) x) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
(/ (- (+ (* -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 (fma.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 eps (/.f64 (/.f64 eps x) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(.f64 (fma.f64 (.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64))) x)
(* 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 (+.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
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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)))))
(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps)
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps)
(* eps (- (/ (pow x 2) eps) 1))
(.f64 (-.f64 (.f64 x (/.f64 x eps)) #s(literal 1 binary64)) eps)
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)) eps)
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps eps))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) eps)) eps)
(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 eps) (log.f64 #s(literal -1 binary64))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)))
(fma.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 eps) (log.f64 #s(literal -1 binary64)))) (.f64 x (/.f64 x eps))) #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 eps) (log.f64 #s(literal -1 binary64)))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 eps) (log.f64 #s(literal -1 binary64)))) (.f64 eps eps)) (fma.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 eps) (log.f64 #s(literal -1 binary64)))) (.f64 x (/.f64 x eps))) #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 eps) (log.f64 #s(literal -1 binary64))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (pow x 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps))))))) eps)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4)))) (pow eps 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 eps)))))) (+ (* -1/12 (pow x 6)) (+ (* -1/384 (pow x 6)) (* 1/32 (pow x 6))))) (pow eps 3)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 eps) (log.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (/.f64 #s(literal -3/32 binary64) eps) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -7/128 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 eps) (log.f64 #s(literal -1 binary64)))) (*.f64 x (/.f64 x eps))) #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 eps) (log.f64 #s(literal -1 binary64))))))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) (.f64 (neg.f64 x) eps)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) #s(literal -1 binary64)))) x (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x))))) (neg.f64 eps)) (*.f64 x eps)) eps)))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (neg.f64 eps) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 x) eps)))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) (neg.f64 eps))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) eps)) (neg.f64 eps))))
(* -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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* 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 (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)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* 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 (.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)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (pow.f64 x #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (neg.f64 eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) eps)) (neg.f64 eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 x eps))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/2 binary64) eps)) eps)
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/32 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))) eps) #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow eps 3)) 1/4) (+ (* -1/32 (pow x 6)) (+ (* 1/384 (pow x 6)) (* 1/12 (pow x 6)))))) (* (pow (* -1 eps) 1/4) (+ (* -1/8 (pow x 4)) (* 1/32 (pow x 4))))) eps)) (* 1/4 (* (pow (* -1 eps) 1/4) (pow x 2)))) eps)) (pow (* -1 eps) 1/4))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/32 binary64) (.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/128 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)))) (neg.f64 eps))) eps) #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64)))

rewrite272.0ms (3.7%)

Memory

31.9MiB live, 306.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	251
0	63	199
1	241	199
2	1900	181
0	9502	181

Stop Event

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

Counts

23 → 1 690

Calls

Call 1

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

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

eval276.0ms (3.7%)

Memory: 5.5MiB live, 390.5MiB allocated
Compiler: Compiled 59 388 to 6 091 computations (89.7% saved)

prune84.0ms (1.1%)

Memory

-8.8MiB live, 90.7MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 564	5	1 569
Fresh	1	2	3
Picked	3	2	5
Done	0	3	3
Total	1 568	12	1 580

Accuracy

100.0%

Counts

1 580 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.3%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) x))
	100.0%	(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) x))
	48.3%	(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)) x))
	99.6%	(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
	54.2%	(-.f64 x (/.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))))
✓	58.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	54.5%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	7.1%	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	47.5%	#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
	45.6%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
✓	4.4%	#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))

Compiler

Compiled 1 060 to 288 computations (72.8% saved)

regimes33.0ms (0.4%)

Memory

-0.7MiB live, 43.3MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
9.0ms	eps
9.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

regimes19.0ms (0.3%)

Memory

-18.5MiB live, 24.9MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (/.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)) x))
(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) eps))

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

Calls

3 calls:

8.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
5.0ms	eps
5.0ms	x

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

regimes10.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (/.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
89.2%	2	`x`
79.5%	2	`eps`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
#s(approx (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
96.0%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
95.8%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-50.6MiB live, 9.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))

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

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

Outputs
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))

Calls

3 calls:

5.0ms	x
2.0ms	eps
1.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
54.5%	1	`eps`
54.5%	1	`x`
56.1%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Accuracy

Total -0.9b remaining (-1.4%)

Threshold costs -0.9b (-1.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))

Outputs
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
4.4%	1	`x`
4.4%	1	`eps`
4.4%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.923197724280636e-148	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.923197724280636e-148	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.923197724280636e-148	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.923197724280636e-148	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

simplify50.0ms (0.7%)

Memory

32.1MiB live, 32.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	193
1	58	179
2	90	179
3	137	179
4	174	179
5	211	179
6	263	179
7	998	179
8	2229	179
9	5717	179

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) x))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64)))
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))

Outputs
(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) x))
(/.f64 eps (+.f64 (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) x))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64)))
#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))

derivations978.0ms (13.2%)

Memory

-75.3MiB live, 549.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	551	2914
1	1807	2781
2	7268	2752
0	8300	2609
0	257	1069
1	807	1054
2	3108	1019
0	8668	960
0	6	22
0	10	22
1	42	22
2	320	22
3	3652	22
0	8870	22
0	36	251
0	63	199
1	241	199
2	1900	181
0	9502	181
0	30	381
0	49	250
1	205	207
2	2116	207
0	8190	206
0	29	164
0	48	155
1	158	155
2	1146	143
0	8813	143

Stop Event

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

Compiler

Compiled 193 to 39 computations (79.8% saved)

preprocess44.0ms (0.6%)

Memory: 25.5MiB live, 68.3MiB allocated
Compiler: Compiled 422 to 104 computations (75.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze54.0ms (0.7%)

sample1.5s (20.1%)

explain104.0ms (1.4%)

preprocess26.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize46.0ms (0.6%)

series8.0ms (0.1%)

simplify166.0ms (2.2%)

rewrite178.0ms (2.4%)

eval49.0ms (0.7%)

prune11.0ms (0.1%)

simplify182.0ms (2.4%)

localize211.0ms (2.8%)

series40.0ms (0.5%)

simplify172.0ms (2.3%)

rewrite195.0ms (2.6%)

eval260.0ms (3.5%)

prune38.0ms (0.5%)

simplify154.0ms (2.1%)

localize231.0ms (3.1%)

series166.0ms (2.2%)

simplify245.0ms (3.3%)

rewrite322.0ms (4.3%)

eval814.0ms (11%)

prune61.0ms (0.8%)

simplify92.0ms (1.2%)

localize129.0ms (1.7%)

series24.0ms (0.3%)

simplify167.0ms (2.3%)

rewrite272.0ms (3.7%)

eval276.0ms (3.7%)

prune84.0ms (1.1%)

regimes33.0ms (0.4%)

regimes19.0ms (0.3%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.7%)

derivations978.0ms (13.2%)

preprocess44.0ms (0.6%)

end0.0ms (0%)

Profiling