Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze15.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.6s (22.2%)

Memory

21.6MiB live, 1 939.3MiB allocated

Samples

529.0ms	2 746×	1	valid
462.0ms	4 894×	0	valid
117.0ms	616×	2	valid
12.0ms	180×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 706.0ms

ival-sub: 158.0ms (22.4% of total)

ival-mult: 147.0ms (20.8% of total)

ival-<=: 147.0ms (20.8% of total)

adjust: 107.0ms (15.2% of total)

ival-sqrt: 98.0ms (13.9% of total)

ival-and: 25.0ms (3.5% of total)

exact: 19.0ms (2.7% of total)

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

Bogosity

explain120.0ms (1.7%)

Memory

-18.7MiB live, 213.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
104	1	(2.524547552491603e-95 7.4930992420572e-192)	-	`(-.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	105	0

Confusion

	Predicted +	Predicted -
+	104	0
-	1	151

Precision

0.9904761904761905

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	104	0	0
-	1	0	151

Precision?

0.9904761904761905

Recall?

1.0

Freqs

test

number	freq
0	151
1	105

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms	310×	0	valid
17.0ms	160×	1	valid
6.0ms	42×	2	valid

Compiler

Compiled 60 to 22 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sqrt: 9.0ms (34.4% of total)

ival-sub: 7.0ms (26.7% of total)

ival-mult: 5.0ms (19.1% of total)

adjust: 4.0ms (15.3% of total)

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

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

preprocess25.0ms (0.3%)

Memory

-41.2MiB live, 30.0MiB 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

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB 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

localize25.0ms (0.3%)

Memory

27.2MiB live, 27.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01171875	(-.f64 (*.f64 x x) eps)
accuracy	23.895458467403923	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

8.0ms	80×	1	valid
8.0ms	155×	0	valid
3.0ms	21×	2	valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sqrt: 3.0ms (27.6% of total)

ival-mult: 3.0ms (27.6% of total)

ival-sub: 3.0ms (27.6% of total)

adjust: 2.0ms (18.4% of total)

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

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

series11.0ms (0.1%)

Memory

-26.0MiB live, 20.2MiB 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
3.0ms	eps	@	-inf	((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x))
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	@	0	((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x))

simplify170.0ms (2.4%)

Memory

38.6MiB live, 310.4MiB 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)

rewrite141.0ms (2%)

Memory

-8.8MiB live, 97.0MiB 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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(/.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)))
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(/.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)))
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(/.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)))))
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(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)))
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(-.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))))
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(*.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))))

eval34.0ms (0.5%)

Memory: 27.2MiB live, 68.2MiB allocated
Compiler: Compiled 6 064 to 978 computations (83.9% saved)

prune17.0ms (0.2%)

Memory

3.9MiB live, 44.4MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	231	14	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	231	15	246

Accuracy

99.9%

Counts

246 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.7%	(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)
▶	49.8%	(/.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))))
	31.2%	(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))) (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)))
	49.8%	(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
	62.2%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	62.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	62.6%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
	57.7%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	6.9%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
▶	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	62.5%	(.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)))))
	36.3%	#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))
	29.1%	#s(approx (- x (sqrt (- (* x x) eps))) (*.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))
▶	38.7%	#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))
	43.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 726 to 350 computations (51.8% saved)

simplify129.0ms (1.8%)

Memory

-7.8MiB live, 99.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	279
0	68	282
1	96	279
2	219	277
3	689	277
4	2071	272
5	5454	262
6	7344	262
0	8031	260

Stop Event

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

Calls

Call 1

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

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

localize310.0ms (4.3%)

Memory

-21.5MiB live, 267.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))
accuracy	0.16015625	(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))
accuracy	14.175161949440204	(/.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))))
accuracy	17.53369747722117	(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))
accuracy	0.1015625	(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	7.4177990458709	(*.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	7.781004770500749	(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
accuracy	37.413437249910565	#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	(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
accuracy	0.0	(/.f64 eps x)
accuracy	23.895458467403923	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
accuracy	35.64474707909206	#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
accuracy	0.0	(neg.f64 x)
accuracy	23.895458467403923	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
accuracy	62.41419323729551	#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
accuracy	0.00390625	(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))
accuracy	0.08984375	(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
accuracy	0.10546875	(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
accuracy	23.895458467403923	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))

Samples

151.0ms	19×	2	valid
60.0ms	157×	0	valid
51.0ms	80×	1	valid

Compiler

Compiled 231 to 34 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-sub: 133.0ms (62% of total)

ival-mult: 28.0ms (13.1% of total)

ival-pow: 23.0ms (10.7% of total)

ival-div: 11.0ms (5.1% of total)

adjust: 8.0ms (3.7% of total)

ival-add: 7.0ms (3.3% of total)

ival-sqrt: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series54.0ms (0.8%)

Memory

-11.1MiB live, 91.2MiB allocated

Counts

21 → 167

Calls

Call 1

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

Outputs
(* -1 eps)
(+ (* -1 eps) (pow x 2))
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (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)))))))))
(- (pow x 2) eps)
(* -1 x)
(* -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 (pow x 3))
(- (* (sqrt eps) (* x (sqrt -1))) eps)
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps)
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps)
(- (* 2 (pow x 2)) eps)
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* (pow x 2) (- x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* (pow x 2) (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1)))
-1
(- (/ (pow x 2) eps) 1)
(* (sqrt (pow eps 3)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1)))
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))))
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (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)))))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(* 3 (pow x 2))
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x))
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x)
(* -1/2 (* x (+ (* -2 eps) (* -1 eps))))
(* x (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (+ (* -2 eps) (* -1 eps)))))
(* x (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))))
(* x (- (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))))
(/ (pow x 2) eps)
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))
(* 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 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2)))
(* 2 (pow x 3))
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2)))
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))) (+ 2 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))))
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))))
(* 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)))))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* 2 (pow x 2)) (pow x 2))
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2)))
(+ (* -1 eps) (* 2 (pow x 2)))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3)))
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(/ (+ (* -1 eps) (pow x 2)) eps)
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3))
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3))
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3))
(* eps (- (/ (pow x 2) eps) 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 (+ (* 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) (* 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 (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1))
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1))
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1))
(* eps (- (* 2 (/ (pow x 2) eps)) 1))
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))))
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) 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)) (* 1/2 (/ 1 x)))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (* -2 (/ (pow x 2) eps)))))
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps 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)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps))) (+ (* x x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x (/ x eps)) -1) (pow (- (* x x) eps) 3/2))
9.0ms	eps	@	0	((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps 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)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps))) (+ (* x x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x (/ x eps)) -1) (pow (- (* x x) eps) 3/2))
9.0ms	eps	@	-inf	((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps 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)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps))) (+ (* x x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x (/ x eps)) -1) (pow (- (* x x) eps) 3/2))
7.0ms	eps	@	inf	((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps 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)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps))) (+ (* x x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x (/ x eps)) -1) (pow (- (* x x) eps) 3/2))
7.0ms	x	@	0	((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps 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)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps))) (+ (* x x) (- (* x x) eps)) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* (sqrt (- (* x x) eps)) x) (+ (* x x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x (/ x eps)) -1) (pow (- (* x x) eps) 3/2))

simplify228.0ms (3.2%)

Memory

-4.5MiB live, 269.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	965	6739
1	3234	6534
0	8520	6216

Stop Event

1×	iter limit
1×	node limit

Counts

167 → 166

Calls

Call 1

Inputs
(* -1 eps)
(+ (* -1 eps) (pow x 2))
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (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)))))))))
(- (pow x 2) eps)
(* -1 x)
(* -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 (pow x 3))
(- (* (sqrt eps) (* x (sqrt -1))) eps)
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps)
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps)
(- (* 2 (pow x 2)) eps)
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1)))
(* -1 (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* (pow x 2) (- x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1)))
(- (* (pow x 2) (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1)))
-1
(- (/ (pow x 2) eps) 1)
(* (sqrt (pow eps 3)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1)))
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))))
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (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)))))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(* 3 (pow x 2))
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1 (/ eps (pow x 2)))))
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x))
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x)
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x)
(* -1/2 (* x (+ (* -2 eps) (* -1 eps))))
(* x (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (+ (* -2 eps) (* -1 eps)))))
(* x (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))))
(* x (- (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))))
(/ (pow x 2) eps)
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))
(* 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 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2)))
(* 2 (pow x 3))
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2)))
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))) (+ 2 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))))
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))))
(* 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)))))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* 2 (pow x 2)) (pow x 2))
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2)))
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2)))
(+ (* -1 eps) (* 2 (pow x 2)))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3)))
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))
(/ (+ (* -1 eps) (pow x 2)) eps)
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3))
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3))
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3))
(* eps (- (/ (pow x 2) eps) 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 (+ (* 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) (* 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 (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1))
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1))
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1))
(* eps (- (* 2 (/ (pow x 2) eps)) 1))
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))))
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) 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)) (* 1/2 (/ 1 x)))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))
(* -1 (* eps (+ 1 (* -2 (/ (pow x 2) eps)))))
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps)))))
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))

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

rewrite205.0ms (2.8%)

Memory

-5.8MiB live, 238.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	237
0	68	237
1	246	215
2	1927	215
0	8161	215

Stop Event

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

Counts

21 → 491

Calls

Call 1

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

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

eval173.0ms (2.4%)

Memory: 40.4MiB live, 236.1MiB allocated
Compiler: Compiled 29 625 to 3 132 computations (89.4% saved)

prune61.0ms (0.9%)

Memory

-35.8MiB live, 55.1MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	648	7	655
Fresh	4	5	9
Picked	3	2	5
Done	1	0	1
Total	656	14	670

Accuracy

100.0%

Counts

670 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.7%	(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)
	62.4%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
	33.0%	(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 eps eps) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9 binary64)))) (.f64 x x)) (.f64 eps #s(literal -3 binary64)))) x)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))))
▶	62.2%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
▶	57.7%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	62.7%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))))
✓	6.9%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	42.2%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) eps)) x))
	29.1%	#s(approx (- x (sqrt (- (* x x) eps))) (*.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))
▶	38.7%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) x) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
▶	43.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
	43.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
	41.3%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(approx (+ ( (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))

Compiler

Compiled 570 to 356 computations (37.5% saved)

simplify113.0ms (1.6%)

Memory

26.0MiB live, 73.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	261
0	57	261
1	81	258
2	164	253
3	444	253
4	1387	245
5	4312	237
6	6250	237
0	8023	237

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (2%)

Memory

-25.3MiB live, 73.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
accuracy	7.4177990458709	(.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) x) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
accuracy	7.781004770500749	(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) eps (/.f64 #s(literal 1/2 binary64) x))
accuracy	37.413437249910565	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) x) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
accuracy	0.00390625	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01171875	(-.f64 (*.f64 x x) eps)
accuracy	0.33984375	(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))
accuracy	23.895458467403923	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
accuracy	0.0	(/.f64 eps x)
accuracy	0.0	(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
accuracy	36.06594816683415	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
accuracy	0.0	(neg.f64 eps)
accuracy	0.00390625	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
accuracy	23.895458467403923	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
accuracy	26.122249344560768	#s(approx (- (* x x) eps) (neg.f64 eps))
accuracy	0.0	#s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))
accuracy	0.0	#s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))
accuracy	0.00390625	(sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))
accuracy	23.895458467403923	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))))

Samples

59.0ms	80×	1	valid
27.0ms	155×	0	valid
9.0ms	21×	2	valid

Compiler

Compiled 182 to 27 computations (85.2% saved)

Precisions

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

ival-div: 45.0ms (60.2% of total)

ival-mult: 11.0ms (14.7% of total)

ival-sub: 6.0ms (8% of total)

adjust: 5.0ms (6.7% of total)

ival-add: 4.0ms (5.3% of total)

ival-sqrt: 3.0ms (4% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

21 → 65

Calls

Call 1

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

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 eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (/ (/ 1/8 (* x x)) x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) eps) (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) (sqrt (- (* x x) eps)) (/ 1/8 (* x x)))
2.0ms	x	@	0	((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (/ (/ 1/8 (* x x)) x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) eps) (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) (sqrt (- (* x x) eps)) (/ 1/8 (* x x)))
2.0ms	eps	@	inf	((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (/ (/ 1/8 (* x x)) x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) eps) (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) (sqrt (- (* x x) eps)) (/ 1/8 (* x x)))
2.0ms	x	@	-inf	((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (/ (/ 1/8 (* x x)) x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) eps) (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) (sqrt (- (* x x) eps)) (/ 1/8 (* x x)))
2.0ms	x	@	inf	((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (/ (/ 1/8 (* x x)) x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) eps) (+ (* (/ (/ 1/8 (* x x)) x) eps) (/ 1/2 x)) (sqrt (- (* x x) eps)) (/ 1/8 (* x x)))

simplify244.0ms (3.4%)

Memory

-5.1MiB live, 139.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1248
1	900	1237
2	3390	1176
0	8265	1109

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

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

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

rewrite287.0ms (4%)

Memory

-3.8MiB live, 283.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	235
0	57	229
1	189	221
2	1352	215
0	8376	211

Stop Event

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

Counts

21 → 489

Calls

Call 1

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

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

eval94.0ms (1.3%)

Memory: 22.4MiB live, 211.1MiB allocated
Compiler: Compiled 20 232 to 2 290 computations (88.7% saved)

prune18.0ms (0.2%)

Memory

19.5MiB live, 65.4MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	560	2	562
Fresh	0	7	7
Picked	2	3	5
Done	0	2	2
Total	562	14	576

Accuracy

100.0%

Counts

576 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(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)
▶	62.4%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
	57.3%	(/.f64 (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (neg.f64 eps))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x))
	33.0%	(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 eps eps) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9 binary64)))) (.f64 x x)) (.f64 eps #s(literal -3 binary64)))) x)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))))
✓	57.7%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	62.7%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))))
✓	6.9%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	42.2%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) eps)) x))
	29.1%	#s(approx (- x (sqrt (- (* x x) eps))) (*.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))
	38.7%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (*.f64 (neg.f64 x) x) x)) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
✓	43.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
▶	43.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
▶	41.3%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(approx (+ ( (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))

Compiler

Compiled 543 to 333 computations (38.7% saved)

simplify190.0ms (2.6%)

Memory

6.2MiB live, 186.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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 (*.f64 eps eps) x)
cost-diff	0	(/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) eps)) x)
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) eps)) x))
cost-diff	2	(fma.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) eps))
cost-diff	0	(/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
cost-diff	0	(.f64 #s(approx (+ ( (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps)
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(approx (+ ( (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #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	(-.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: 2 (0.0ms)

Iter	Nodes	Cost
0	40	295
0	64	287
1	114	270
2	299	261
3	886	261
4	2941	261
5	7865	261
0	8082	261

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

localize351.0ms (4.9%)

Memory

-32.9MiB live, 201.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
accuracy	0.01171875	(-.f64 (*.f64 x x) eps)
accuracy	0.01953125	(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64))
accuracy	24.487647939811072	(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	0.08203125	(/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) eps)) x)
accuracy	3.683934678072132	(fma.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) eps))
accuracy	10.78100637403514	(/.f64 (*.f64 eps eps) x)
accuracy	37.413437249910565	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) eps)) x))
accuracy	0.04296875	(/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
accuracy	7.4177990458709	(.f64 #s(approx (+ ( (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps)
accuracy	10.8348460123579	(/.f64 eps (*.f64 x x))
accuracy	37.413437249910565	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(approx (+ ( (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.23828125	(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
accuracy	36.06594816683415	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
accuracy	0.01171875	(-.f64 (*.f64 x x) eps)
accuracy	0.01171875	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy	0.3046875	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
accuracy	23.456351579438927	(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))

Samples

176.0ms	80×	1	valid
40.0ms	155×	0	valid
19.0ms	21×	2	valid

Compiler

Compiled 234 to 37 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-mult: 141.0ms (72% of total)

ival-pow: 15.0ms (7.7% of total)

ival-div: 14.0ms (7.1% of total)

adjust: 8.0ms (4.1% of total)

ival-add: 7.0ms (3.6% of total)

ival-sub: 5.0ms (2.6% of total)

ival-sqrt: 3.0ms (1.5% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series49.0ms (0.7%)

Memory

32.4MiB live, 79.9MiB allocated

Counts

20 → 141

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

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 (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* 1/2 (/ eps x))
(/ 1/2 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 eps 2) (pow x 2)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))
(/ (pow eps 2) x)
(+ 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))
(* (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)))
(/ eps (pow x 2))
(* -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 (/ (+ (* -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)))))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(* 1/2 eps)
(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))
(/ (+ (* 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))))))))
(* 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 (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)))))))
(* -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))) (+ 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 (/ (+ (* -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 (/ (+ (* -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 (* (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))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(* eps (+ 1/2 (* 1/8 (/ 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))))))
(* (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)))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* -1 (* (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)))
(- (+ (* -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 (- (/ 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)))))
(* (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)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* 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)))))
(* 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 (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 (* (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 (/ 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)))))
(* 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 (* 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 (/ (- (* (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
13.0ms	x	@	0	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (- 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)) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) x) (/ (* eps eps) x) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (+ (sqrt (- (* x x) eps)) x) (/ eps (* x x)) (neg (pow (- (* x x) eps) 1/4)))
10.0ms	eps	@	0	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (- 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)) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) x) (/ (* eps eps) x) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (+ (sqrt (- (* x x) eps)) x) (/ eps (* x x)) (neg (pow (- (* x x) eps) 1/4)))
7.0ms	eps	@	inf	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (- 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)) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) x) (/ (* eps eps) x) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (+ (sqrt (- (* x x) eps)) x) (/ eps (* x x)) (neg (pow (- (* x x) eps) 1/4)))
6.0ms	eps	@	-inf	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (- 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)) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) x) (/ (* eps eps) x) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (+ (sqrt (- (* x x) eps)) x) (/ eps (* x x)) (neg (pow (- (* x x) eps) 1/4)))
5.0ms	x	@	inf	((- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- (* x x) eps) (- 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)) (/ (+ (* (/ eps (* x x)) 1/8) 1/2) x) (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) x) (/ 1/8 x)) (* 1/2 eps)) x) (/ (* eps eps) x) (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) (pow (- (* x x) eps) 1/4) (+ (sqrt (- (* x x) eps)) x) (/ eps (* x x)) (neg (pow (- (* x x) eps) 1/4)))

simplify181.0ms (2.5%)

Memory

-11.0MiB live, 212.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	664	3334
1	2235	3124
0	8491	2969

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 140

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

rewrite158.0ms (2.2%)

Memory

13.2MiB live, 246.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	245
0	64	246
1	235	217
2	1825	217
0	8418	217

Stop Event

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

Counts

20 → 775

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

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

eval196.0ms (2.7%)

Memory: 25.3MiB live, 400.3MiB allocated
Compiler: Compiled 40 391 to 4 218 computations (89.6% saved)

prune31.0ms (0.4%)

Memory

-22.1MiB live, 76.2MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 172	3	1 175
Fresh	4	0	4
Picked	4	1	5
Done	0	5	5
Total	1 180	9	1 189

Accuracy

100.0%

Counts

1 189 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
✓	57.7%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	62.7%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))))
✓	6.9%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	41.2%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) eps)) x))
✓	43.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
✓	43.5%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
	4.3%	#s(approx (+ (* (pow (- (* x x) eps) 1/4) (neg (pow (- (* x x) eps) 1/4))) x) #s(literal 0 binary64))

Compiler

Compiled 802 to 255 computations (68.2% saved)

regimes28.0ms (0.4%)

Memory

-3.9MiB live, 40.7MiB allocated

Counts

27 → 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 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 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (-.f64 (.f64 x x) #s(approx (- ( x x) eps) (neg.f64 eps))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(approx (+ ( (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.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 (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (*.f64 (neg.f64 x) x) x)) eps (/.f64 #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 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) x) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) eps)) x))
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 eps eps) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9 binary64)))) (.f64 x x)) (.f64 eps #s(literal -3 binary64)))) x)) (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)))))
#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))
(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)
#s(approx (- x (sqrt (- (* x x) eps))) (*.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))
(/.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))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps))) (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)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

regimes11.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.2%	2	`x`
83.4%	2	`eps`
98.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

6 → 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 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)))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
95.9%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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)

regimes6.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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:

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

Results

Accuracy	Segments	Branch
57.7%	1	`eps`
57.7%	1	`x`
59.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes8.0ms (0.1%)

Memory

-35.2MiB live, 10.3MiB allocated

Accuracy

Total -0.8b remaining (-1.2%)

Threshold costs -0.8b (-1.2%)

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:

4.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	eps
1.0ms	x

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.268604975108545e-153	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.268604975108545e-153	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.268604975108545e-153	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.268604975108545e-153	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.268604975108545e-153	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

simplify41.0ms (0.6%)

Memory

-7.7MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	226
1	71	212
2	123	212
3	233	212
4	425	210
5	792	208
6	2299	208
7	7998	208

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 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 -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 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 (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 -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps)))))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 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 -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 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))

soundness1.7s (23.1%)

Memory

-73.3MiB live, 806.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1069
1	807	1054
2	3108	1019
0	8668	960
0	39	237
0	68	237
1	246	215
2	1927	215
0	8161	215
0	965	6739
1	3234	6534
0	8520	6216
0	40	245
0	64	246
1	235	217
2	1825	217
0	8418	217
0	664	3334
1	2235	3124
0	8491	2969
0	6	22
0	10	22
1	42	22
2	320	22
3	3652	22
0	8870	22

Stop Event

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

Compiler

Compiled 377 to 153 computations (59.4% saved)

preprocess50.0ms (0.7%)

Memory: -0.5MiB live, 82.4MiB allocated
Compiler: Compiled 480 to 110 computations (77.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.2%)

sample1.6s (22.2%)

explain120.0ms (1.7%)

preprocess25.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize25.0ms (0.3%)

series11.0ms (0.1%)

simplify170.0ms (2.4%)

rewrite141.0ms (2%)

eval34.0ms (0.5%)

prune17.0ms (0.2%)

simplify129.0ms (1.8%)

localize310.0ms (4.3%)

series54.0ms (0.8%)

simplify228.0ms (3.2%)

rewrite205.0ms (2.8%)

eval173.0ms (2.4%)

prune61.0ms (0.9%)

simplify113.0ms (1.6%)

localize141.0ms (2%)

series14.0ms (0.2%)

simplify244.0ms (3.4%)

rewrite287.0ms (4%)

eval94.0ms (1.3%)

prune18.0ms (0.2%)

simplify190.0ms (2.6%)

localize351.0ms (4.9%)

series49.0ms (0.7%)

simplify181.0ms (2.5%)

rewrite158.0ms (2.2%)

eval196.0ms (2.7%)

prune31.0ms (0.4%)

regimes28.0ms (0.4%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify41.0ms (0.6%)

soundness1.7s (23.1%)

preprocess50.0ms (0.7%)

end0.0ms (0%)

Profiling