Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze18.0ms (0.3%)

Memory

-14.1MiB live, 24.3MiB 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)

sample1.4s (21.6%)

Memory

7.6MiB live, 1 508.6MiB allocated

Samples

486.0ms	4 911×	0	valid
439.0ms	2 768×	1	valid
106.0ms	577×	2	valid
12.0ms	183×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 692.0ms

ival-sub: 190.0ms (27.5% of total)

ival-<=: 142.0ms (20.5% of total)

ival-mult: 132.0ms (19.1% of total)

adjust: 94.0ms (13.6% of total)

ival-sqrt: 90.0ms (13% of total)

ival-and: 22.0ms (3.2% of total)

exact: 18.0ms (2.6% of total)

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

Bogosity

explain124.0ms (1.9%)

Memory

-9.1MiB live, 148.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`	cancellation	110	1

Confusion

	Predicted +	Predicted -
+	110	0
-	0	146

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	110	0	0
-	0	1	145

Precision?

0.990990990990991

Recall?

1.0

Freqs

test

number	freq
0	146
1	110

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms	180×	1	valid
15.0ms	302×	0	valid
4.0ms	30×	2	valid

Compiler

Compiled 60 to 22 computations (63.3% saved)

Precisions

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

ival-sub: 7.0ms (31.5% of total)

ival-sqrt: 6.0ms (27% of total)

ival-mult: 5.0ms (22.5% of total)

adjust: 4.0ms (18% of total)

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

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

preprocess16.0ms (0.2%)

Memory

-20.2MiB live, 18.1MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

localize24.0ms (0.4%)

Memory

31.9MiB live, 31.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01953125	(-.f64 (*.f64 x x) eps)
accuracy	24.890922427910105	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

9.0ms	90×	1	valid
7.0ms	151×	0	valid
2.0ms	15×	2	valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

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

ival-sub: 4.0ms (36.5% of total)

ival-sqrt: 3.0ms (27.4% of total)

ival-mult: 3.0ms (27.4% of total)

adjust: 2.0ms (18.3% of total)

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

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

series9.0ms (0.1%)

Memory

-24.3MiB live, 14.1MiB allocated

Counts

4 → 49

Calls

Call 1

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

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

Calls

6 calls:

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

simplify192.0ms (2.9%)

Memory

21.8MiB live, 133.0MiB 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)

rewrite223.0ms (3.3%)

Memory

2.3MiB live, 166.5MiB 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 (pow.f64 (/.f64 (fma.f64 eps eps (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
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(.f64 (pow.f64 (fma.f64 x x eps) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) eps) (fma.f64 x x eps)) #s(literal 1 binary64)))
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(.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (hypot.f64 eps (*.f64 x x))) (sqrt.f64 (fma.f64 x x eps)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (/.f64 eps (fma.f64 x x eps))) #s(literal 2 binary64))) (-.f64 (.f64 x x) eps))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 x x eps))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (/.f64 eps (fma.f64 x x eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 eps (/.f64 eps (fma.f64 x x eps))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (.f64 eps (/.f64 eps (fma.f64 x x eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (pow.f64 (hypot.f64 eps (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x eps) #s(literal 1 binary64)))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (hypot.f64 eps (.f64 x x))) (hypot.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
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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)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x eps) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 eps #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 eps eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x eps))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 x x) eps) (.f64 eps (/.f64 eps (fma.f64 x x eps))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) eps)
(fabs.f64 (-.f64 (*.f64 x x) eps))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (-.f64 (.f64 x x) eps))) (sinh.f64 (log.f64 (-.f64 (.f64 x x) eps))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval50.0ms (0.8%)

Memory: 1.5MiB live, 72.0MiB allocated
Compiler: Compiled 6 064 to 978 computations (83.9% saved)

prune19.0ms (0.3%)

Memory

-18.6MiB live, 35.6MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	233	12	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	233	13	246

Accuracy

99.7%

Counts

246 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.5%	(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)
	46.8%	(/.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))))
	46.8%	(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
▶	60.6%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
	28.7%	(-.f64 x (sqrt.f64 (/.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)))))
✓	61.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	56.3%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	7.3%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
▶	3.4%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
	33.9%	#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))
▶	31.5%	#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))
▶	37.1%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
▶	45.2%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 534 to 302 computations (43.4% saved)

simplify218.0ms (3.3%)

Memory

34.2MiB live, 257.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	251
0	55	251
1	78	251
2	164	251
3	498	251
4	1708	251
5	4058	251
6	5388	251
7	5734	251
8	6128	251
9	6673	251
10	7998	251
0	8001	251

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (2.2%)

Memory

-17.7MiB live, 180.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.028512181930996	(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
accuracy	8.813624749217063	(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))
accuracy	31.91381067128508	(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))))
accuracy	35.27256392116731	#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))
accuracy	0.13671875	(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	8.772761564102053	(*.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	11.647702565412214	(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
accuracy	36.24753835151928	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.27734375	(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
accuracy	34.933322477931405	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
accuracy	0.0	(neg.f64 x)
accuracy	24.890922427910105	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
accuracy	62.43699851355158	#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
accuracy	0.0078125	(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy	0.01953125	(-.f64 (*.f64 x x) eps)
accuracy	0.3984375	(/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps)))
accuracy	24.890922427910105	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))

Samples

59.0ms	151×	0	valid
38.0ms	90×	1	valid
8.0ms	15×	2	valid

Compiler

Compiled 215 to 30 computations (86% saved)

Precisions

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

ival-pow: 28.0ms (38.8% of total)

ival-mult: 14.0ms (19.4% of total)

ival-div: 9.0ms (12.5% of total)

adjust: 6.0ms (8.3% of total)

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

ival-add: 4.0ms (5.5% of total)

ival-sqrt: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series135.0ms (2%)

Memory

-25.7MiB live, 107.0MiB allocated

Counts

20 → 87

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
82.0ms	x	@	inf	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
35.0ms	eps	@	-inf	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
6.0ms	eps	@	inf	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
4.0ms	x	@	0	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
3.0ms	eps	@	0	((- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))

simplify181.0ms (2.7%)

Memory

19.7MiB live, 173.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	1653
1	1133	1630
2	4291	1610
0	8405	1525

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 86

Calls

Call 1

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

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

rewrite216.0ms (3.2%)

Memory

12.8MiB live, 259.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	213
0	55	207
1	183	207
2	1345	201
0	8645	201

Stop Event

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

Counts

20 → 609

Calls

Call 1

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

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

eval146.0ms (2.2%)

Memory: -40.8MiB live, 184.4MiB allocated
Compiler: Compiled 28 390 to 3 294 computations (88.4% saved)

prune36.0ms (0.5%)

Memory

-12.6MiB live, 63.4MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	727	11	738
Fresh	6	1	7
Picked	2	3	5
Done	0	1	1
Total	735	16	751

Accuracy

99.9%

Counts

751 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.7%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
✓	60.6%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
	56.7%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
✓	61.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	56.3%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	7.3%	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.4%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	65.4%	(+.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	43.1%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
	45.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
▶	43.1%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) eps))
	38.4%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 #s(approx (+ ( (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
	32.8%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 #s(approx (+ ( (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (/.f64 (fma.f64 #s(literal 1/16 binary64) eps (.f64 (.f64 x x) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
✓	45.2%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
	31.7%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(approx (+ ( (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal 1/8 binary64) eps)) x) x (.f64 (*.f64 eps eps) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64)))) eps))
	24.0%	#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (/.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 701 to 451 computations (35.7% saved)

simplify195.0ms (2.9%)

Memory

34.2MiB live, 192.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 eps (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) eps)
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) eps))
cost-diff	2	(fma.f64 (/.f64 eps (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
cost-diff	0	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
cost-diff	0	(/.f64 eps x)
cost-diff	0	(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
cost-diff	0	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
cost-diff	0	(neg.f64 eps)
cost-diff	0	#s(approx (- (* x x) eps) (neg.f64 eps))
cost-diff	0	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
cost-diff	0	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))
cost-diff	0	(-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))
cost-diff	7	(+.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	287
0	64	274
1	94	274
2	181	274
3	500	274
4	1390	274
5	2849	274
6	3497	274
7	3717	274
8	4035	274
9	4240	274
10	4312	274
11	5078	274
12	5818	274
0	8085	274

Stop Event

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

Calls

Call 1

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

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

localize212.0ms (3.2%)

Memory

-30.2MiB live, 171.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(fma.f64 (/.f64 eps (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
accuracy	8.772761564102053	(.f64 (fma.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) eps)
accuracy	11.700906230830272	(/.f64 eps (*.f64 x x))
accuracy	36.24753835151928	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) eps))
accuracy	0.07421875	(/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
accuracy	0.20703125	(/.f64 (/.f64 eps x) x)
accuracy	8.772761564102053	(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps)
accuracy	36.24753835151928	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x) eps))
accuracy	0.0	(/.f64 eps x)
accuracy	0.0078125	(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
accuracy	24.890922427910105	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
accuracy	34.41847699542723	#s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
accuracy	0.0	(neg.f64 eps)
accuracy	0.0078125	(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
accuracy	24.890922427910105	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
accuracy	26.830820370752	#s(approx (- (* x x) eps) (neg.f64 eps))
accuracy	0.03515625	(+.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
accuracy	0.328125	(/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))
accuracy	6.1056009965403755	(/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))
accuracy	24.856549389498372	(-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))

Samples

109.0ms	90×	1	valid
66.0ms	151×	0	valid
8.0ms	15×	2	valid

Compiler

Compiled 244 to 32 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-sub: 44.0ms (41.9% of total)

ival-div: 34.0ms (32.4% of total)

ival-mult: 10.0ms (9.5% of total)

adjust: 6.0ms (5.7% of total)

ival-add: 5.0ms (4.8% of total)

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

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (1.2%)

Memory

16.8MiB live, 88.6MiB allocated

Counts

22 → 148

Calls

Call 1

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

Outputs
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (- (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* x (+ 1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* x (+ 1 (* x (- (* (pow x 2) (- (* 1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt eps) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1))))))))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(+ (* 1/2 (* (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)
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ eps x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(/ eps (pow x 2))
(+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))))))))
(/ (- eps (* 1/2 eps)) x)
(/ (- (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (* 1/2 eps))))) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps)) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(* x (+ 1 (* 1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))
(* 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 (+ 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)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x)
(* 2 x)
(* -1 (* x (- (/ eps (pow x 2)) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2)))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))))
(* -1 (* x (- (* -1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))))
(* -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))
(* -1 (/ eps x))
(* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 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))))
(* eps (- (* -3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* -5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* eps (- (* -35/128 (/ eps (pow x 7))) (* 5/16 (/ 1 (pow x 5))))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* 1/2 (/ eps x)))
(+ x (* eps (+ (* 3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(* eps (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x)))
(* eps (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (- (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 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))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* 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)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* (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)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 6) (sqrt -1))))) eps))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1))))) (pow eps 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (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)))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	eps	@	-inf	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) eps) (/ eps (* x x)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x))
22.0ms	eps	@	0	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) eps) (/ eps (* x x)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x))
5.0ms	eps	@	inf	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) eps) (/ eps (* x x)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x))
5.0ms	x	@	inf	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) eps) (/ eps (* x x)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x))
5.0ms	x	@	0	((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (+ (* (/ eps x) -1/2) x) (/ eps x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ eps (* x x)) (/ 1/8 x)) (/ 1/2 x)) eps) (/ eps (* x x)) (/ eps (sqrt (- (* x x) eps))) (/ (/ eps x) x))

simplify275.0ms (4.1%)

Memory

-14.9MiB live, 194.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	4166
1	2354	3938
0	8849	3735

Stop Event

1×	iter limit
1×	node limit

Counts

148 → 147

Calls

Call 1

Inputs
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (- (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* x (+ 1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* x (+ 1 (* x (- (* (pow x 2) (- (* 1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt eps) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1))))))))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(+ (* 1/2 (* (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)
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ eps x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(/ eps (pow x 2))
(+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))))))))
(/ (- eps (* 1/2 eps)) x)
(/ (- (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (* 1/2 eps))))) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps)) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(* x (+ 1 (* 1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))
(* 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 (+ 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)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x)
(* 2 x)
(* -1 (* x (- (/ eps (pow x 2)) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2)))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))))
(* -1 (* x (- (* -1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))))
(* -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))
(* -1 (/ eps x))
(* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 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))))
(* eps (- (* -3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* -5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* eps (- (* -35/128 (/ eps (pow x 7))) (* 5/16 (/ 1 (pow x 5))))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* 1/2 (/ eps x)))
(+ x (* eps (+ (* 3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(* eps (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x)))
(* eps (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (- (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 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))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(* 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)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* (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)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 6) (sqrt -1))))) eps))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1))))) (pow eps 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (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)))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))

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

rewrite280.0ms (4.2%)

Memory

11.7MiB live, 167.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	249
0	64	242
1	229	242
2	1901	212
0	8419	212

Stop Event

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

Counts

22 → 723

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 (.f64 x x) eps)) (pow.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
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(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (/.f64 eps x) x) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 eps x) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 eps (/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64))) x)) (/.f64 (.f64 (.f64 eps eps) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64))) x)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (*.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) x))
(-.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (neg.f64 (/.f64 (/.f64 eps x) x)) #s(literal 1/8 binary64)) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 eps x) x)) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (/.f64 (/.f64 eps x) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (/.f64 (/.f64 eps x) x)) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 9 binary64))) (fma.f64 (.f64 eps eps) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/16 binary64))) (.f64 x x)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 eps eps) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/16 binary64))) (*.f64 x x)))))
(+.f64 (*.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 eps x)))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 eps x) #s(literal 1/2 binary64)) x) eps)
(*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 eps x))
(*.f64 eps (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 eps x) #s(literal 1/2 binary64)) x))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 x x)) eps)) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 eps x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (.f64 eps eps) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/16 binary64))) (.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) eps)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 eps (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 x x)))) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (.f64 eps (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 eps x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 eps eps) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/16 binary64))) (.f64 x x)))))
(/.f64 (neg.f64 (*.f64 eps (neg.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 x x)) eps) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 eps x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 (.f64 eps eps) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/16 binary64))) (.f64 x x))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) eps) (neg.f64 x))
(/.f64 (.f64 eps (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 x x))) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (.f64 eps (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 eps x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 eps eps) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/16 binary64))) (.f64 x x))))
(/.f64 (*.f64 eps (neg.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps) x)
(fma.f64 (.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) eps (.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) eps (.f64 (.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) eps))
(fma.f64 eps (.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 eps (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))))
(+.f64 (.f64 (.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) eps) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) eps) (.f64 (*.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) eps))
(+.f64 (.f64 eps (.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 eps (/.f64 #s(literal 1/2 binary64) x)) (.f64 eps (*.f64 eps (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 eps)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 eps) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 eps) x) (neg.f64 x))
(/.f64 (/.f64 eps x) (neg.f64 (neg.f64 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)))
(neg.f64 (/.f64 (/.f64 (neg.f64 eps) x) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 eps) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(neg.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 (/.f64 eps (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 eps)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 eps) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 eps) x) (neg.f64 x))
(/.f64 (/.f64 eps x) (neg.f64 (neg.f64 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)))
(neg.f64 (/.f64 (/.f64 (neg.f64 eps) x) x))

eval152.0ms (2.3%)

Memory: -7.7MiB live, 153.2MiB allocated
Compiler: Compiled 25 667 to 3 029 computations (88.2% saved)

prune102.0ms (1.5%)

Memory

13.6MiB live, 58.8MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	664	6	670
Fresh	2	5	7
Picked	2	3	5
Done	0	4	4
Total	668	18	686

Accuracy

99.9%

Counts

686 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.4%	(/.f64 (fma.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps)) (.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x) eps)) (.f64 (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x) (sqrt.f64 (-.f64 (.f64 x x) eps))))
▶	60.7%	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
✓	60.6%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 (-.f64 (.f64 x x) eps))))
	56.7%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
✓	61.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	56.3%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	7.3%	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.4%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	61.4%	(+.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	65.4%	(+.f64 (-.f64 x (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	43.3%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 eps x)))
▶	32.9%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 (fma.f64 (.f64 (neg.f64 eps) #s(literal 1/8 binary64)) x (.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x)) eps))
▶	43.1%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 #s(approx (+ ( (/ (/ eps x) x) 1/8) 1/2) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) eps))
	44.1%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) #s(approx (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) 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)))
▶	45.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
	38.4%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 (fma.f64 #s(approx (+ ( (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (/.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
✓	45.2%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
	31.7%	#s(approx (- x (sqrt (- (* x x) eps))) (.f64 #s(approx (+ ( (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal 1/8 binary64) eps)) x) x (.f64 (*.f64 eps eps) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64)))) eps))

Compiler

Compiled 852 to 469 computations (45% saved)

simplify165.0ms (2.5%)

Memory

-19.9MiB live, 95.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	1	(*.f64 (neg.f64 eps) #s(literal 1/8 binary64))
cost-diff	2	(.f64 (.f64 (*.f64 (neg.f64 x) x) x) x)
cost-diff	2	(.f64 (.f64 (neg.f64 x) x) x)
cost-diff	5	(/.f64 (fma.f64 (.f64 (neg.f64 eps) #s(literal 1/8 binary64)) x (.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x))
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))
cost-diff	0	#s(approx (+ (* (/ (/ eps x) x) 1/8) 1/2) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (/ (/ eps x) x) 1/8) 1/2) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x)
cost-diff	0	(.f64 (/.f64 #s(approx (+ ( (/ (/ eps x) x) 1/8) 1/2) (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 (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 #s(approx (+ ( (/ (/ eps x) x) 1/8) 1/2) (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) eps)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
cost-diff	0	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))
cost-diff	0	(/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x x))
cost-diff	0	(+.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) x x)) (/.f64 eps (sqrt.f64 (-.f64 (.f64 x x) eps))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	461
0	84	449
1	144	418
2	463	392
3	3042	388
0	8530	388

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (3.7%)

Memory

33.5MiB live, 191.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (.f64 (neg.f64 x) x) x)
accuracy	8.772761564102053	(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 eps) #s(literal 1/8 binary64)) x (.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x)) eps)
accuracy	29.99330136040001	(/.f64 (fma.f64 (.f64 (neg.f64 eps) #s(literal 1/8 binary64)) x (.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (neg.f64 x) x) x) x))
accuracy	36.24753835151928	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 (fma.f64 (.f64 (neg.f64 eps) #s(literal 1/8 binary64)) x (.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (neg.f64 x) x) x) x)) eps))
accuracy	0.01953125	(-.f64 (*.f64 x x) eps)
accuracy	0.03125	(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy	0.32421875	(/.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
accuracy	24.47843587876163	(-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))
accuracy	0.07421875	(/.f64 #s(approx (+ (* (/ (/ eps x) x) 1/8) 1/2) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x)
accuracy	8.772761564102053	(.f64 (/.f64 #s(approx (+ ( (/ (/ eps x) x) 1/8) 1/2) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) eps)
accuracy	11.700906230830272	(/.f64 eps (*.f64 x x))
accuracy	36.24753835151928	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 #s(approx (+ ( (/ (/ eps x) x) 1/8) 1/2) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) eps))
accuracy	0.0	(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) eps)
accuracy	34.933322477931405	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
accuracy	0.328125	(/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))
accuracy	9.451723893932776	(/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) eps))
accuracy	19.857834843077416	(/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x x))
accuracy	24.4864228627754	(-.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) eps)))

Samples

112.0ms	90×	1	valid
74.0ms	151×	0	valid
12.0ms	15×	2	valid

Compiler

Compiled 388 to 47 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

adjust: 58.0ms (34% of total)

ival-div: 52.0ms (30.5% of total)

ival-mult: 22.0ms (12.9% of total)

ival-add: 20.0ms (11.7% of total)

ival-sub: 8.0ms (4.7% of total)

ival-pow: 4.0ms (2.3% of total)

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

ival-neg: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series123.0ms (1.8%)

Memory

-14.4MiB live, 71.1MiB allocated

Counts

24 → 173

Calls

Call 1

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

Outputs
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* x (- (/ 1 eps) (* -1 (/ (pow (sqrt -1) 2) eps))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* x (+ 1 (* x (- (* x (- (/ 1 eps) (* -1 (/ (pow (sqrt -1) 2) eps)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (/ 1 eps) (* -1 (/ (pow (sqrt -1) 2) eps)))))))) (/ 1 eps)) (* -1 (/ (pow (sqrt -1) 2) eps)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow x 2) eps)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 eps) (/ (pow x 2) (pow eps 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (pow eps 2)) (/ (pow x 2) (pow eps 3)))) (/ 1 eps)))))
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* 1/2 (/ eps x))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
eps
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* -1 eps)
(- (pow x 2) eps)
(* -1 (pow x 3))
(* -1 (pow x 4))
(* -1 (/ (pow x 4) eps))
(* (pow x 4) (- (* -1 (/ (pow x 2) (pow eps 2))) (/ 1 eps)))
(* (pow x 4) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(* (pow x 4) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))))))))
(/ eps (pow x 2))
(+ (* 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 (* 1/4 (+ (* -2 eps) (* 1/2 eps)))) (* 1/8 eps)) x)
(/ (- (+ eps (+ (* -1/8 (/ (pow (+ (* -2 eps) (* 1/2 eps)) 2) (pow x 2))) (+ (* 1/4 (+ (* -2 eps) (* 1/2 eps))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 2))))))) (+ (* -1/8 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/32 (/ (pow eps 2) (pow x 2))) (* 1/8 eps)))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/8 (pow (+ (* -2 eps) (* 1/2 eps)) 2)) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (pow (+ (* -2 eps) (* 1/2 eps)) 2) (pow x 2))) (+ (* 1/4 (+ (* -2 eps) (* 1/2 eps))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (pow x 2))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))))))))) (+ (* -1/4 (/ (* eps (+ (* -1/8 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/32 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/8 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/32 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/8 eps))))))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/8 (pow (+ (* -2 eps) (* 1/2 eps)) 2)) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))))))) (+ (* -1/8 (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))))) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/8 (pow (+ (* -2 eps) (* 1/2 eps)) 2)) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (+ (* -1/8 (pow (+ (* -2 eps) (* 1/2 eps)) 2)) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))))) (pow x 6))) (+ (* -1/8 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* -1/8 (/ (pow (+ (* -2 eps) (* 1/2 eps)) 2) (pow x 2))) (+ (* 1/4 (+ (* -2 eps) (* 1/2 eps))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (pow x 2))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2))))) (* 1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))))))))))) (+ (* -1/4 (/ (* eps (+ (* -1/4 (* eps (+ (* -1/8 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/32 (pow eps 2))))) (+ (* -1/8 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/32 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (pow x 6))) (+ (* -1/4 (/ (* eps (+ (* -1/8 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/32 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/8 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/8 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (+ (* -1/32 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/32 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* 1/8 eps) (* 1/4 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1/8 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/32 (pow eps 2)))) (pow x 6))))))))))))) x)
(* -1/2 (/ eps x))
(/ (- (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) (pow x 2)))) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* -1/2 (/ (pow eps 3) (pow x 4))))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/8 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/4 (/ (* eps (- (* -1/2 (pow eps 2)) (* -1/8 (pow eps 2)))) (pow x 4)))))) x)
(/ (- (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* -1/2 (/ (pow eps 3) (pow x 4))) (* -1/2 (/ (pow eps 4) (pow x 6)))))) (+ (* -1/4 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 (pow eps 2)) (* -1/8 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/8 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/8 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* 1/4 (/ (* eps (- (* -1/2 (pow eps 2)) (* -1/8 (pow eps 2)))) (pow x 4))) (* 1/4 (/ (* eps (- (* -1/2 (pow eps 3)) (+ (* 1/8 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/4 (* eps (- (* -1/2 (pow eps 2)) (* -1/8 (pow eps 2)))))))) (pow x 6))))))))) x)
(+ (* -1 eps) (* -1 (/ (pow eps 2) (pow x 2))))
(+ (* -1 eps) (+ (* -1 (/ (pow eps 2) (pow x 2))) (* -1 (/ (pow eps 3) (pow x 4)))))
(+ (* -1 eps) (+ (* -1 (/ (pow eps 2) (pow x 2))) (+ (* -1 (/ (pow eps 3) (pow x 4))) (* -1 (/ (pow eps 4) (pow x 6))))))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(/ (- (+ (* 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)))))
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow eps 2) (pow x 4))) (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ (pow eps 3) (pow x 6))) (+ (* -1 (/ eps (pow x 2))) (* -1 (/ (pow eps 2) (pow x 4))))))
(/ eps x)
(/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* -1 (* x (- (* 4 (/ (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (pow eps 2))) (* -2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow eps 2))))))
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eps 2))) (pow eps 2))) (+ (* 4 (/ (+ (* -1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (* (pow eps 2) (pow x 2)))) (+ (* 4 (/ (+ (* -1/2 (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2))))) (* 1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (* (pow eps 2) (pow x 4)))) (+ (* 4 (/ (+ (* -1/2 (+ (* -1 (pow eps 5)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))))) (* 1/2 (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))))) (* 1/2 (* eps (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2))))))) (* (pow eps 2) (pow x 6)))) (/ eps (pow x 2)))))))))))))) (+ (* -2 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* (pow eps 3) (pow x 4)))) (+ (* -2 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2))))) (* (pow eps 3) (pow x 6)))) (+ (* -2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow eps 2))) (+ (* -2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (* (pow eps 2) (pow x 2)))) (+ (* -2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (* (pow eps 2) (pow x 4)))) (+ (* -2 (/ (+ (* -1 (pow eps 5)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))))) (* 1/2 (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))))) (* (pow eps 2) (pow x 6)))) (+ (* -2 (/ (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2) (* (pow eps 3) (pow x 2)))) (+ (/ (* (+ (* -2 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow eps 3))) (+ (* -2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow eps 2))) (/ (* (+ (* -2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps 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(* -1 (* x (- (* -2 (/ eps (pow x 2))) (+ 2 (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (* eps (pow x 2))))))))
(* -1 (* x (- (+ (* -2 (/ eps (pow x 2))) (* -2 (/ (pow eps 2) (pow x 4)))) (+ 2 (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -2 eps) (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) eps)))) (* eps (pow x 4)))) (+ (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (* eps (pow x 2)))) (* 2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (* eps (pow x 4))))))))))
(* -1 (* x (- (+ (* -2 (/ eps (pow x 2))) (+ (* -2 (/ (pow eps 2) (pow x 4))) (* -2 (/ (pow eps 3) (pow x 6))))) (+ 2 (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -2 eps) (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) eps)))) (* eps (pow x 4)))) (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -2 (pow eps 2)) (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -2 eps) (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) eps)))) eps)) (* 2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) eps))))) (* eps (pow x 6)))) (+ (* -1 (/ (* (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (- (* -2 eps) (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) eps)))) (* eps (pow x 6)))) (+ (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (* eps (pow x 2)))) (+ (* 2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (* eps (pow x 4)))) (* 2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (* eps (pow x 6)))))))))))))
(* -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 (/ (+ (* -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 (/ (+ (* -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 (/ eps x))
(* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (* 7/8 (/ 1 x))))
(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (+ (* 7/8 (/ 1 x)) (* eps (- (+ (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))) (* 7/16 (/ 1 (pow x 3)))) (* 1/32 (/ 1 (pow x 3))))))))
(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (+ (* 7/8 (/ 1 x)) (* eps (- (+ (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))) (+ (* 7/16 (/ 1 (pow x 3))) (* eps (- (+ (* 1/64 (/ (+ (* -2 x) (* 1/2 x)) (pow x 6))) (+ (* 43/128 (/ 1 (pow x 5))) (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))))) (pow x 3))))) (* 1/64 (/ 1 (pow x 5))))))) (* 1/32 (/ 1 (pow x 3))))))))
(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (+ (* 7/8 (/ 1 x)) (* eps (- (+ (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))) (+ (* 7/16 (/ 1 (pow x 3))) (* eps (- (+ (* 1/64 (/ (+ (* -2 x) (* 1/2 x)) (pow x 6))) (+ (* 43/128 (/ 1 (pow x 5))) (+ (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))))) (pow x 3))) (* eps (- (+ (* -1/16 (/ (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5)))) (pow x 4))) (+ (* 1/128 (/ (+ (* -2 x) (* 1/2 x)) (pow x 8))) (+ (* 73/256 (/ 1 (pow x 7))) (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/64 (/ 1 (pow x 5))) (+ (* 1/64 (/ (+ (* -2 x) (* 1/2 x)) (pow x 6))) (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))))) (pow x 3)))))) (pow x 3)))))) (* 5/512 (/ 1 (pow x 7)))))))) (* 1/64 (/ 1 (pow x 5))))))) (* 1/32 (/ 1 (pow x 3))))))))
(* eps (- (* -3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* -5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* eps (- (* -35/128 (/ eps (pow x 7))) (* 5/16 (/ 1 (pow x 5))))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* -1 (/ eps (pow x 2))) 1))
(* eps (- (* eps (- (* -1 (/ eps (pow x 4))) (/ 1 (pow x 2)))) 1))
(* eps (- (* eps (- (* eps (- (* -1 (/ eps (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) 1))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 1/2 eps)
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* -1 eps) (pow x 2))
(* -1/8 eps)
(+ eps (pow x 2))
(+ (* eps (+ 1 (/ eps (pow x 2)))) (pow x 2))
(+ (* eps (+ 1 (* eps (+ (/ 1 (pow x 2)) (/ eps (pow x 4)))))) (pow x 2))
(* eps (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x)))
(* eps (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))) (* -1 (/ (pow x 4) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (+ (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (/ (pow x 6) (* (pow eps 3) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))))) (+ (* -1 (/ (pow x 4) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))))))
(/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (/ (pow x 4) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))
(- (+ (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (+ (/ (pow x 4) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (/ (pow x 6) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 6) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))))
(- (+ (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (+ (/ (pow x 4) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (+ (/ (pow x 6) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (/ (pow x 8) (* (pow eps 3) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 8) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 6) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2)))))))
(+ (/ (pow x 4) eps) (pow x 2))
(- (+ (/ (pow x 6) (pow eps 2)) (pow x 2)) (* -1 (/ (pow x 4) eps)))
(- (+ (/ (pow x 6) (pow eps 2)) (+ (/ (pow x 8) (pow eps 3)) (pow x 2))) (* -1 (/ (pow x 4) eps)))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(- (+ (* -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))
(/ (+ (* -1 (/ (pow x 6) eps)) (* -1 (pow x 4))) eps)
(/ (- (+ (* -1 (/ (pow x 8) (pow eps 2))) (* -1 (pow x 4))) (/ (pow x 6) eps)) eps)
(/ (- (+ (* -1 (/ (pow x 10) (pow eps 3))) (* -1 (pow x 4))) (+ (/ (pow x 6) eps) (/ (pow x 8) (pow eps 2)))) eps)
(* 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)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (/ (pow x 6) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (* -1/2 (* (sqrt eps) (/ (* (pow x 6) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) eps)) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)))))
(+ (* -1 (/ (+ (* -1 (/ (- (/ (pow x 6) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* -1/2 (* (sqrt eps) (/ (* (pow x 6) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) eps)) (* -1 (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow x 8) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (* (sqrt eps) (/ (* (pow x 8) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2)))) eps)) (/ (pow x 6) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (* -1/2 (* (sqrt eps) (/ (* (pow x 6) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) eps)) (* -1 (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1 (/ (- (* -1 (/ (pow x 6) eps)) (pow x 4)) eps)) (pow x 2))
(+ (* -1 (/ (- (* -1 (/ (+ (/ (pow x 8) eps) (pow x 6)) eps)) (pow x 4)) eps)) (pow x 2))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (/ (+ (/ (pow x 6) eps) (pow x 4)) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 8) eps)) (pow x 6)) eps)) (pow x 4)) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 10) eps) (* -1 (pow x 8))) eps)) (pow x 6)) eps)) (pow x 4)) eps))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))
(* -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)))))

Calls

6 calls:

Time	Variable		Point	Expression
66.0ms	x	@	0	((+ (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (/ eps (sqrt (- (* x x) eps)))) (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (- (* x x) (/ (pow x 4) (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (/ (* 1/2 eps) x) (* 1/2 eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) (* (* (neg x) x) x) (* (* (* (neg x) x) x) x) (* (neg eps) 1/8) (/ (pow x 4) (- (* x x) eps)) (/ eps (sqrt (- (* x x) eps))) (/ eps (* x x)) (+ (sqrt (- (* x x) eps)) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) eps))
19.0ms	x	@	-inf	((+ (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (/ eps (sqrt (- (* x x) eps)))) (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (- (* x x) (/ (pow x 4) (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (/ (* 1/2 eps) x) (* 1/2 eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) (* (* (neg x) x) x) (* (* (* (neg x) x) x) x) (* (neg eps) 1/8) (/ (pow x 4) (- (* x x) eps)) (/ eps (sqrt (- (* x x) eps))) (/ eps (* x x)) (+ (sqrt (- (* x x) eps)) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) eps))
13.0ms	x	@	inf	((+ (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (/ eps (sqrt (- (* x x) eps)))) (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (- (* x x) (/ (pow x 4) (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (/ (* 1/2 eps) x) (* 1/2 eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) (* (* (neg x) x) x) (* (* (* (neg x) x) x) x) (* (neg eps) 1/8) (/ (pow x 4) (- (* x x) eps)) (/ eps (sqrt (- (* x x) eps))) (/ eps (* x x)) (+ (sqrt (- (* x x) eps)) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) eps))
7.0ms	eps	@	inf	((+ (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (/ eps (sqrt (- (* x x) eps)))) (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (- (* x x) (/ (pow x 4) (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (/ (* 1/2 eps) x) (* 1/2 eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) (* (* (neg x) x) x) (* (* (* (neg x) x) x) x) (* (neg eps) 1/8) (/ (pow x 4) (- (* x x) eps)) (/ eps (sqrt (- (* x x) eps))) (/ eps (* x x)) (+ (sqrt (- (* x x) eps)) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) eps))
6.0ms	eps	@	-inf	((+ (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (/ eps (sqrt (- (* x x) eps)))) (/ (- (* x x) (/ (pow x 4) (- (* x x) eps))) (+ (* (/ x (sqrt (- (* x x) eps))) x) x)) (- (* x x) (/ (pow x 4) (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (/ (* 1/2 eps) x) (* 1/2 eps) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) eps) (/ (+ (* (/ (/ eps x) x) 1/8) 1/2) x) (+ (* (/ (/ eps x) x) 1/8) 1/2) (- (* x x) (- (* x x) eps)) (/ (- (* x x) (- (* x x) eps)) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) (* (* (neg x) x) x) (* (* (* (neg x) x) x) x) (* (neg eps) 1/8) (/ (pow x 4) (- (* x x) eps)) (/ eps (sqrt (- (* x x) eps))) (/ eps (* x x)) (+ (sqrt (- (* x x) eps)) x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (* (/ (+ (* (* (neg eps) 1/8) x) (* (* (* (neg x) x) x) 1/2)) (* (* (* (neg x) x) x) x)) eps))

simplify266.0ms (4%)

Memory

-2.1MiB live, 224.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1261	7846
1	4475	7664
0	9084	7212

Stop Event

1×	iter limit
1×	node limit

Counts

173 → 171

Calls

Call 1

Inputs
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* x (- (/ 1 eps) (* -1 (/ (pow (sqrt -1) 2) eps))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* x (+ 1 (* x (- (* x (- (/ 1 eps) (* -1 (/ (pow (sqrt -1) 2) eps)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (/ 1 eps) (* -1 (/ (pow (sqrt -1) 2) eps)))))))) (/ 1 eps)) (* -1 (/ (pow (sqrt -1) 2) eps)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow x 2) eps)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 eps) (/ (pow x 2) (pow eps 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (pow eps 2)) (/ (pow x 2) (pow eps 3)))) (/ 1 eps)))))
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* 1/2 (/ eps x))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ eps (pow x 2)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
eps
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* -1 eps)
(- (pow x 2) eps)
(* -1 (pow x 3))
(* -1 (pow x 4))
(* -1 (/ (pow x 4) eps))
(* (pow x 4) (- (* -1 (/ (pow x 2) (pow eps 2))) (/ 1 eps)))
(* (pow x 4) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(* (pow x 4) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))))))))
(/ eps (pow x 2))
(+ (* 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 (* 1/4 (+ (* -2 eps) (* 1/2 eps)))) (* 1/8 eps)) x)
(/ (- (+ eps (+ (* -1/8 (/ (pow (+ (* -2 eps) (* 1/2 eps)) 2) (pow x 2))) (+ (* 1/4 (+ (* -2 eps) (* 1/2 eps))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 2))))))) (+ (* -1/8 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/32 (/ (pow eps 2) (pow x 2))) (* 1/8 eps)))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/8 (pow (+ (* -2 eps) (* 1/2 eps)) 2)) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (pow (+ (* -2 eps) (* 1/2 eps)) 2) (pow x 2))) (+ (* 1/4 (+ (* -2 eps) (* 1/2 eps))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (pow x 2))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))))))))) (+ (* -1/4 (/ (* eps (+ (* -1/8 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/32 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/8 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/32 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/8 eps))))))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/8 (pow (+ (* -2 eps) (* 1/2 eps)) 2)) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))))))) (+ (* -1/8 (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))))) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/8 (pow (+ (* -2 eps) (* 1/2 eps)) 2)) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (* (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (+ (* -1/8 (pow (+ (* -2 eps) (* 1/2 eps)) 2)) (* 1/4 (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))))) (pow x 6))) (+ (* -1/8 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -2 eps) (* 1/2 eps)) (+ (* -1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* -1/8 (/ (pow (+ (* -2 eps) (* 1/2 eps)) 2) (pow x 2))) (+ (* 1/4 (+ (* -2 eps) (* 1/2 eps))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (pow x 2))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* 1/4 (/ (+ (* -1/2 (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2))))) (* 1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))))))))))) (+ (* -1/4 (/ (* eps (+ (* -1/4 (* eps (+ (* -1/8 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/32 (pow eps 2))))) (+ (* -1/8 (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (* 1/32 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (pow x 6))) (+ (* -1/4 (/ (* eps (+ (* -1/8 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/32 (pow eps 2)))) (pow x 4))) (+ (* -1/8 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/8 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/8 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (+ (* -1/32 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/32 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* 1/8 eps) (* 1/4 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (+ (* -1/8 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/32 (pow eps 2)))) (pow x 6))))))))))))) x)
(* -1/2 (/ eps x))
(/ (- (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) (pow x 2)))) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* -1/2 (/ (pow eps 3) (pow x 4))))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/8 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/4 (/ (* eps (- (* -1/2 (pow eps 2)) (* -1/8 (pow eps 2)))) (pow x 4)))))) x)
(/ (- (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* -1/2 (/ (pow eps 3) (pow x 4))) (* -1/2 (/ (pow eps 4) (pow x 6)))))) (+ (* -1/4 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/2 (pow eps 2)) (* -1/8 (pow eps 2)))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/8 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/8 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (+ (* 1/4 (/ (* eps (- (* -1/2 (pow eps 2)) (* -1/8 (pow eps 2)))) (pow x 4))) (* 1/4 (/ (* eps (- (* -1/2 (pow eps 3)) (+ (* 1/8 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 1/4 (* eps (- (* -1/2 (pow eps 2)) (* -1/8 (pow eps 2)))))))) (pow x 6))))))))) x)
(+ (* -1 eps) (* -1 (/ (pow eps 2) (pow x 2))))
(+ (* -1 eps) (+ (* -1 (/ (pow eps 2) (pow x 2))) (* -1 (/ (pow eps 3) (pow x 4)))))
(+ (* -1 eps) (+ (* -1 (/ (pow eps 2) (pow x 2))) (+ (* -1 (/ (pow eps 3) (pow x 4))) (* -1 (/ (pow eps 4) (pow x 6))))))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
1/2
(+ 1/2 (* 1/8 (/ eps (pow x 2))))
(/ (- (+ (* 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)))))
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow eps 2) (pow x 4))) (* -1 (/ eps (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ (pow eps 3) (pow x 6))) (+ (* -1 (/ eps (pow x 2))) (* -1 (/ (pow eps 2) (pow x 4))))))
(/ eps x)
(/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* -1 (* x (- (* 4 (/ (+ (* -1/2 (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (* -1/2 (pow eps 2))) (pow eps 2))) (* -2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow eps 2))))))
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(* -1 (* x (- (* -2 (/ eps (pow x 2))) (+ 2 (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (* eps (pow x 2))))))))
(* -1 (* x (- (+ (* -2 (/ eps (pow x 2))) (* -2 (/ (pow eps 2) (pow x 4)))) (+ 2 (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -2 eps) (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) eps)))) (* eps (pow x 4)))) (+ (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (* eps (pow x 2)))) (* 2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (* eps (pow x 4))))))))))
(* -1 (* x (- (+ (* -2 (/ eps (pow x 2))) (+ (* -2 (/ (pow eps 2) (pow x 4))) (* -2 (/ (pow eps 3) (pow x 6))))) (+ 2 (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -2 eps) (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) eps)))) (* eps (pow x 4)))) (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -2 (pow eps 2)) (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -2 eps) (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) eps)))) eps)) (* 2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) eps))))) (* eps (pow x 6)))) (+ (* -1 (/ (* (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (- (* -2 eps) (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) eps)))) (* eps (pow x 6)))) (+ (* 2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (* eps (pow x 2)))) (+ (* 2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (* eps (pow x 4)))) (* 2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (* eps (pow x 6)))))))))))))
(* -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 (/ (+ (* -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 (/ (+ (* -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 (/ eps x))
(* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (* 7/8 (/ 1 x))))
(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (+ (* 7/8 (/ 1 x)) (* eps (- (+ (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))) (* 7/16 (/ 1 (pow x 3)))) (* 1/32 (/ 1 (pow x 3))))))))
(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (+ (* 7/8 (/ 1 x)) (* eps (- (+ (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))) (+ (* 7/16 (/ 1 (pow x 3))) (* eps (- (+ (* 1/64 (/ (+ (* -2 x) (* 1/2 x)) (pow x 6))) (+ (* 43/128 (/ 1 (pow x 5))) (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))))) (pow x 3))))) (* 1/64 (/ 1 (pow x 5))))))) (* 1/32 (/ 1 (pow x 3))))))))
(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (+ (* 7/8 (/ 1 x)) (* eps (- (+ (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))) (+ (* 7/16 (/ 1 (pow x 3))) (* eps (- (+ (* 1/64 (/ (+ (* -2 x) (* 1/2 x)) (pow x 6))) (+ (* 43/128 (/ 1 (pow x 5))) (+ (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))))) (pow x 3))) (* eps (- (+ (* -1/16 (/ (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5)))) (pow x 4))) (+ (* 1/128 (/ (+ (* -2 x) (* 1/2 x)) (pow x 8))) (+ (* 73/256 (/ 1 (pow x 7))) (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/64 (/ 1 (pow x 5))) (+ (* 1/64 (/ (+ (* -2 x) (* 1/2 x)) (pow x 6))) (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))))) (pow x 3)))))) (pow x 3)))))) (* 5/512 (/ 1 (pow x 7)))))))) (* 1/64 (/ 1 (pow x 5))))))) (* 1/32 (/ 1 (pow x 3))))))))
(* eps (- (* -3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* -5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* eps (- (* -35/128 (/ eps (pow x 7))) (* 5/16 (/ 1 (pow x 5))))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* -1 (/ eps (pow x 2))) 1))
(* eps (- (* eps (- (* -1 (/ eps (pow x 4))) (/ 1 (pow x 2)))) 1))
(* eps (- (* eps (- (* eps (- (* -1 (/ eps (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) 1))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* 1/2 eps)
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* -1 eps) (pow x 2))
(* -1/8 eps)
(+ eps (pow x 2))
(+ (* eps (+ 1 (/ eps (pow x 2)))) (pow x 2))
(+ (* eps (+ 1 (* eps (+ (/ 1 (pow x 2)) (/ eps (pow x 4)))))) (pow x 2))
(* eps (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x)))
(* eps (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))) (* -1 (/ (pow x 4) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (+ (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (/ (pow x 6) (* (pow eps 3) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))))) (+ (* -1 (/ (pow x 4) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))))))
(/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (/ (pow x 4) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))
(- (+ (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (+ (/ (pow x 4) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (/ (pow x 6) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 6) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))))
(- (+ (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (+ (/ (pow x 4) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (+ (/ (pow x 6) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (/ (pow x 8) (* (pow eps 3) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 8) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 6) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2)))))))
(+ (/ (pow x 4) eps) (pow x 2))
(- (+ (/ (pow x 6) (pow eps 2)) (pow x 2)) (* -1 (/ (pow x 4) eps)))
(- (+ (/ (pow x 6) (pow eps 2)) (+ (/ (pow x 8) (pow eps 3)) (pow x 2))) (* -1 (/ (pow x 4) eps)))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(- (+ (* -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))
(/ (+ (* -1 (/ (pow x 6) eps)) (* -1 (pow x 4))) eps)
(/ (- (+ (* -1 (/ (pow x 8) (pow eps 2))) (* -1 (pow x 4))) (/ (pow x 6) eps)) eps)
(/ (- (+ (* -1 (/ (pow x 10) (pow eps 3))) (* -1 (pow x 4))) (+ (/ (pow x 6) eps) (/ (pow x 8) (pow eps 2)))) eps)
(* 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)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (/ (pow x 6) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (* -1/2 (* (sqrt eps) (/ (* (pow x 6) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) eps)) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)))))
(+ (* -1 (/ (+ (* -1 (/ (- (/ (pow x 6) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* -1/2 (* (sqrt eps) (/ (* (pow x 6) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) eps)) (* -1 (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow x 8) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (* (sqrt eps) (/ (* (pow x 8) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2)))) eps)) (/ (pow x 6) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (* -1/2 (* (sqrt eps) (/ (* (pow x 6) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) eps)) (* -1 (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1 (/ (- (* -1 (/ (pow x 6) eps)) (pow x 4)) eps)) (pow x 2))
(+ (* -1 (/ (- (* -1 (/ (+ (/ (pow x 8) eps) (pow x 6)) eps)) (pow x 4)) eps)) (pow x 2))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (/ (+ (/ (pow x 6) eps) (pow x 4)) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 8) eps)) (pow x 6)) eps)) (pow x 4)) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 10) eps) (* -1 (pow x 8))) eps)) (pow x 6)) eps)) (pow x 4)) eps))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))
(* -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)))))

Outputs
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ x (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x)
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* x (- (/ 1 eps) (* -1 (/ (pow (sqrt -1) 2) eps))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (/ 1 eps) (* -1 (/ (pow (sqrt -1) 2) eps)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (/ 1 eps) (* -1 (/ (pow (sqrt -1) 2) eps)))))))) (/ 1 eps)) (* -1 (/ (pow (sqrt -1) 2) eps)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps))) x (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow x 2) eps)))
(.f64 (+.f64 (/.f64 (.f64 x x) eps) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 eps) (/ (pow x 2) (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 #s(literal 1 binary64) eps)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (pow eps 2)) (/ (pow x 2) (pow eps 3)))) (/ 1 eps)))))
(.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (.f64 x x) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 x x) (/.f64 #s(literal 1 binary64) eps)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
(* -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 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (.f64 (neg.f64 (sqrt.f64 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 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))))
(* 1/2 (/ eps x))
(*.f64 #s(literal 1/2 binary64) (/.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 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (/ eps (pow x 2)))
(.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) eps)) (*.f64 x x))
eps
(* (sqrt eps) (/ 1 (sqrt -1)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 x #s(literal 1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x (.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(-.f64 (*.f64 x x) eps)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (/ (pow x 4) eps))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) eps)
(* (pow x 4) (- (* -1 (/ (pow x 2) (pow eps 2))) (/ 1 eps)))
(.f64 (-.f64 (/.f64 (.f64 (neg.f64 x) x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 (neg.f64 x) x) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 (neg.f64 x) x) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(+ (* -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)))
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(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (* 7/8 (/ 1 x))))
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(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (+ (* 7/8 (/ 1 x)) (* eps (- (+ (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))) (* 7/16 (/ 1 (pow x 3)))) (* 1/32 (/ 1 (pow x 3))))))))
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(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (+ (* 7/8 (/ 1 x)) (* eps (- (+ (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))) (+ (* 7/16 (/ 1 (pow x 3))) (* eps (- (+ (* 1/64 (/ (+ (* -2 x) (* 1/2 x)) (pow x 6))) (+ (* 43/128 (/ 1 (pow x 5))) (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))))) (pow x 3))))) (* 1/64 (/ 1 (pow x 5))))))) (* 1/32 (/ 1 (pow x 3))))))))
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(* eps (+ (* 1/4 (/ (+ (* -2 x) (* 1/2 x)) (pow x 2))) (+ (* 7/8 (/ 1 x)) (* eps (- (+ (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))) (+ (* 7/16 (/ 1 (pow x 3))) (* eps (- (+ (* 1/64 (/ (+ (* -2 x) (* 1/2 x)) (pow x 6))) (+ (* 43/128 (/ 1 (pow x 5))) (+ (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))))) (pow x 3))) (* eps (- (+ (* -1/16 (/ (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5)))) (pow x 4))) (+ (* 1/128 (/ (+ (* -2 x) (* 1/2 x)) (pow x 8))) (+ (* 73/256 (/ 1 (pow x 7))) (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/64 (/ 1 (pow x 5))) (+ (* 1/64 (/ (+ (* -2 x) (* 1/2 x)) (pow x 6))) (* 1/2 (/ (* (+ (* -2 x) (* 1/2 x)) (- (* 1/32 (/ 1 (pow x 3))) (* -1/8 (/ (pow (+ (* -2 x) (* 1/2 x)) 2) (pow x 5))))) (pow x 3)))))) (pow x 3)))))) (* 5/512 (/ 1 (pow x 7)))))))) (* 1/64 (/ 1 (pow x 5))))))) (* 1/32 (/ 1 (pow x 3))))))))
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(* eps (- (* -3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
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(* eps (- (* eps (- (* -5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
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(* eps (- (* -1 (/ eps (pow x 2))) 1))
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(* eps (+ (* 1/8 (/ eps (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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(* 1/2 eps)
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(* -1/8 eps)
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(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))))
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(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))) (* -1 (/ (pow x 4) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))))
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(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (+ (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (/ (pow x 6) (* (pow eps 3) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))))) (+ (* -1 (/ (pow x 4) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))))))
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(/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(/.f64 (.f64 x x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x))
(+ (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (/ (pow x 4) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x))
(- (+ (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (+ (/ (pow x 4) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (/ (pow x 6) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 6) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))))
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(- (+ (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (+ (/ (pow x 4) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (+ (/ (pow x 6) (* (pow eps 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (/ (pow x 8) (* (pow eps 3) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 8) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 6) (* (sqrt -1) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2)))))))
(-.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 eps eps))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64))))))
(+ (/ (pow x 4) eps) (pow x 2))
(fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(- (+ (/ (pow x 6) (pow eps 2)) (pow x 2)) (* -1 (/ (pow x 4) eps)))
(-.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 eps eps))) (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) eps))
(- (+ (/ (pow x 6) (pow eps 2)) (+ (/ (pow x 8) (pow eps 3)) (pow x 2))) (* -1 (/ (pow x 4) eps)))
(-.f64 (+.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 eps eps))) (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) eps))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x eps)) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* (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 (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) eps)
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (.f64 (neg.f64 eps) eps))) (/.f64 x #s(literal -1 binary64)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (.f64 x (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 x #s(literal -1 binary64)))))
(* eps (- (/ (pow x 2) eps) 1))
(.f64 (-.f64 (/.f64 (.f64 x x) eps) #s(literal 1 binary64)) eps)
(/ (+ (* -1 (/ (pow x 6) eps)) (* -1 (pow x 4))) eps)
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps))
(/ (- (+ (* -1 (/ (pow x 8) (pow eps 2))) (* -1 (pow x 4))) (/ (pow x 6) eps)) eps)
(/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 eps eps)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) eps)) eps)
(/ (- (+ (* -1 (/ (pow x 10) (pow eps 3))) (* -1 (pow x 4))) (+ (/ (pow x 6) eps) (/ (pow x 8) (pow eps 2)))) eps)
(/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 eps eps)) (/.f64 (pow.f64 x #s(literal 6 binary64)) eps))) eps)
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.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 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(.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 x x) (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 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps)
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) eps)
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(.f64 (fma.f64 (.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)))) eps)
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (pow x 2) (* eps (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))))))
(.f64 (neg.f64 eps) (neg.f64 (fma.f64 (/.f64 x (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)))))
(.f64 (neg.f64 eps) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x))) eps) #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x))) eps))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (/ (pow x 6) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (* -1/2 (* (sqrt eps) (/ (* (pow x 6) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) eps)) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)))))
(.f64 (neg.f64 eps) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64))))) (neg.f64 eps))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x))) (neg.f64 eps)) (/.f64 (.f64 x x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x))) eps))))
(+ (* -1 (/ (+ (* -1 (/ (- (/ (pow x 6) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* -1/2 (* (sqrt eps) (/ (* (pow x 6) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) eps)) (* -1 (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64))))) eps))) eps) #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow x 8) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (* (sqrt eps) (/ (* (pow x 8) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2)))) eps)) (/ (pow x 6) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (* -1/2 (* (sqrt eps) (/ (* (pow x 6) (sqrt -1)) (pow (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) 2))))) eps)) (* -1 (/ (pow x 4) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (/ (pow x 2) (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)))) eps) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)))))) eps))) eps) #s(literal -1 binary64) (/.f64 (.f64 x x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (* -1 (/ (- (* -1 (/ (pow x 6) eps)) (pow x 4)) eps)) (pow x 2))
(fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 eps)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps)))
(+ (* -1 (/ (- (* -1 (/ (+ (/ (pow x 8) eps) (pow x 6)) eps)) (pow x 4)) eps)) (pow x 2))
(fma.f64 x x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) eps) (pow.f64 x #s(literal 6 binary64))) (neg.f64 eps)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) x) (neg.f64 eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) eps) #s(literal -1 binary64) x) (neg.f64 eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) eps)
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x)
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (.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 (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) x)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 eps)) (.f64 eps x)) eps)))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1 binary64) #s(literal 1 binary64)))
(* -1 (/ (+ (/ (pow x 6) eps) (pow x 4)) eps))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 8) eps)) (pow x 6)) eps)) (pow x 4)) eps))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 eps)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 eps)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 10) eps) (* -1 (pow x 8))) eps)) (pow x 6)) eps)) (pow x 4)) eps))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) eps) (neg.f64 (pow.f64 x #s(literal 8 binary64)))) (neg.f64 eps)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 eps)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(.f64 (neg.f64 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 x x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(.f64 (neg.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))
(.f64 (neg.f64 eps) (fma.f64 (neg.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 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 (neg.f64 eps) #s(literal 3 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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 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 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) eps) #s(literal -1 binary64) x) (neg.f64 eps))))

rewrite268.0ms (4%)

Memory

23.3MiB live, 308.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	362
0	84	358
1	306	314
2	2258	294
0	8723	294

Stop Event

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

Counts

24 → 509

Calls

Call 1

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

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

eval154.0ms (2.3%)

Memory: -3.1MiB live, 340.7MiB allocated
Compiler: Compiled 50 166 to 4 759 computations (90.5% saved)

prune29.0ms (0.4%)

Memory

-12.6MiB live, 73.4MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 028	1	1 029
Fresh	5	1	6
Picked	3	2	5
Done	2	5	7
Total	1 038	9	1 047

Accuracy

100.0%

Counts

1 047 → 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))
	56.7%	(-.f64 x (/.f64 (-.f64 (.f64 x x) eps) (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))))
✓	61.1%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	56.3%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	7.3%	(-.f64 x #s(approx (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.4%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
✓	43.1%	#s(approx (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (.f64 (/.f64 #s(approx (+ ( (/ (/ eps x) x) 1/8) 1/2) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) eps))
✓	45.4%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
✓	45.2%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))

Compiler

Compiled 977 to 281 computations (71.2% saved)

regimes30.0ms (0.5%)

Memory

17.9MiB live, 56.1MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	eps
9.0ms	x
9.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

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)

regimes23.0ms (0.3%)

Memory

-16.8MiB live, 21.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	eps
3.0ms	x
3.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
85.7%	2	`x`
80.3%	2	`eps`
98.5%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

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)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

(-.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
95.6%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(-.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))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.3%	1	`eps`
56.3%	1	`x`
56.3%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes32.0ms (0.5%)

Memory

-47.2MiB live, 11.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x
1.0ms	eps
1.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
3.4%	1	`x`
3.4%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
3.4%	1	`eps`

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2487548075809963e-151	-2.059874988322811e-157

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2487548075809963e-151	-2.059874988322811e-157

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2487548075809963e-151	-2.059874988322811e-157

Compiler

Compiled 11 to 11 computations (0% saved)

simplify72.0ms (1.1%)

Memory

6.4MiB live, 44.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	137
1	51	137
2	77	137
3	103	137
4	120	137
5	122	137
6	124	137
7	126	137
8	128	137
9	134	137
10	160	137
11	556	137
12	1269	137
13	3679	137

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 -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 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)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))

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 -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 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)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))

soundness720.0ms (10.8%)

Memory

44.6MiB live, 345.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1069
1	807	1054
2	3108	1019
0	8668	960
0	49	362
0	84	358
1	306	314
2	2258	294
0	8723	294
0	6	22
0	10	22
1	42	22
2	320	22
3	3652	22
0	8870	22
0	33	213
0	55	207
1	183	207
2	1345	201
0	8645	201

Stop Event

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

Compiler

Compiled 265 to 111 computations (58.1% saved)

preprocess39.0ms (0.6%)

Memory: 6.4MiB live, 81.3MiB allocated
Compiler: Compiled 310 to 88 computations (71.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze18.0ms (0.3%)

sample1.4s (21.6%)

explain124.0ms (1.9%)

preprocess16.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize24.0ms (0.4%)

series9.0ms (0.1%)

simplify192.0ms (2.9%)

rewrite223.0ms (3.3%)

eval50.0ms (0.8%)

prune19.0ms (0.3%)

simplify218.0ms (3.3%)

localize147.0ms (2.2%)

series135.0ms (2%)

simplify181.0ms (2.7%)

rewrite216.0ms (3.2%)

eval146.0ms (2.2%)

prune36.0ms (0.5%)

simplify195.0ms (2.9%)

localize212.0ms (3.2%)

series81.0ms (1.2%)

simplify275.0ms (4.1%)

rewrite280.0ms (4.2%)

eval152.0ms (2.3%)

prune102.0ms (1.5%)

simplify165.0ms (2.5%)

localize248.0ms (3.7%)

series123.0ms (1.8%)

simplify266.0ms (4%)

rewrite268.0ms (4%)

eval154.0ms (2.3%)

prune29.0ms (0.4%)

regimes30.0ms (0.5%)

regimes23.0ms (0.3%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes32.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify72.0ms (1.1%)

soundness720.0ms (10.8%)

preprocess39.0ms (0.6%)

end0.0ms (0%)

Profiling