Metrics for ENA, Section 1.4, Exercise 4d

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze18.0ms (0.7%)

Memory

-19.3MiB live, 25.6MiB allocated; 8ms collecting garbage

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 (55.4%)

Memory

38.3MiB live, 1 857.3MiB allocated; 420ms collecting garbage

Samples

412.0ms	4 854×	0	valid
368.0ms	2 765×	1	valid
279.0ms	637×	2	valid
8.0ms	156×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 777.0ms

ival-mult: 335.0ms (43.1% of total)

ival-sqrt: 160.0ms (20.6% of total)

adjust: 148.0ms (19% of total)

ival-sub: 132.0ms (17% of total)

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

Bogosity

explain133.0ms (5.4%)

Memory

-5.8MiB live, 286.8MiB allocated; 52ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
105	-	-	`(-.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	105	0

Confusion

	Predicted +	Predicted -
+	105	0
-	0	151

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	105	0	0
-	0	0	151

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	151
1	105

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms	160×	1	valid
18.0ms	306×	0	valid
8.0ms	46×	2	valid

Compiler

Compiled 60 to 22 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

adjust: 7.0ms (25.1% of total)

ival-sub: 7.0ms (25.1% of total)

ival-mult: 7.0ms (25.1% of total)

ival-sqrt: 6.0ms (21.5% of total)

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

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

preprocess21.0ms (0.9%)

Memory

-17.6MiB live, 25.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	35	54
2	64	54
3	91	54
4	115	54
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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.9%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 8 to 6 computations (25% saved)

series10.0ms (0.4%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

6 → 54

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
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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)))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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))))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 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))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))

Calls

6 calls:

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

rewrite92.0ms (3.7%)

Memory

-7.7MiB live, 133.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	1558
0	325	1431
0	1747	1380

Stop Event

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

Counts

60 → 70

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
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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)))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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))))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 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))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))

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

eval11.0ms (0.4%)

Memory: -18.4MiB live, 28.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 686 to 375 computations (77.8% saved)

prune6.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	64	10	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	10	75

Accuracy

99.8%

Counts

75 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	62.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps)))))
	57.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
	7.2%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
▶	4.4%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) x))
▶	41.1%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
	39.1%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps))
▶	43.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
▶	58.0%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 316 to 202 computations (36.1% saved)

series21.0ms (0.8%)

Memory

0.2MiB live, 47.2MiB allocated; 1ms collecting garbage

Counts

24 → 84

Calls

Call 1

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

Outputs
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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)))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (+ (* x x) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* x x) (neg eps)) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (* (/ eps x) 1/2) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 3)))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 2)))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))))
#s(approx (/ (* eps eps) (* x x)) #s(hole binary64 (/ (pow eps 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (+ (* x x) (neg eps)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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))))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 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))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx (+ (* x x) (neg eps)) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg (sqrt (neg eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (neg eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* 1/2 eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (+ (* x x) (neg eps)) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))
#s(approx (+ (* x x) (neg eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))
#s(approx (neg (sqrt (neg eps))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (neg eps)) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (/ (* eps eps) (* x x)) (* eps eps) (* x x) 1/8 (* 1/2 eps))
4.0ms	eps	@	inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (/ (* eps eps) (* x x)) (* eps eps) (* x x) 1/8 (* 1/2 eps))
3.0ms	eps	@	-inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (/ (* eps eps) (* x x)) (* eps eps) (* x x) 1/8 (* 1/2 eps))
3.0ms	x	@	inf	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (/ (* eps eps) (* x x)) (* eps eps) (* x x) 1/8 (* 1/2 eps))
3.0ms	x	@	0	((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (neg (sqrt (neg eps))) (sqrt (neg eps)) (- x (sqrt (- (* x x) eps))) (* (/ eps x) 1/2) (/ eps x) 1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (/ (* eps eps) (* x x)) (* eps eps) (* x x) 1/8 (* 1/2 eps))

rewrite92.0ms (3.7%)

Memory

-26.9MiB live, 79.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	2247
0	420	2088
0	2049	2032

Stop Event

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

Counts

108 → 163

Calls

Call 1

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

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

eval19.0ms (0.8%)

Memory: 38.3MiB live, 38.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 598 to 751 computations (83.7% saved)

prune53.0ms (2.1%)

Memory

-23.7MiB live, 21.9MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	1	4	5
Picked	0	5	5
Done	0	0	0
Total	189	10	199

Accuracy

99.8%

Counts

199 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	62.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps)))))
▶	57.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
▶	7.2%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
▶	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
✓	4.4%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) x))
✓	41.1%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) eps)) x))
▶	41.3%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) x))
✓	43.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
✓	58.0%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 270 to 165 computations (38.9% saved)

series54.0ms (2.2%)

Memory

-11.1MiB live, 35.7MiB allocated; 2ms collecting garbage

Counts

29 → 142

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* (sqrt eps) (/ 1 (sqrt -1)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole 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))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))))
#s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) #s(hole binary64 eps))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 eps)))
#s(approx (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ x (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole 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)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- x (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (/ eps x) -1/2) x) #s(hole binary64 (* -1/2 (/ eps x))))
#s(approx (+ (* (/ eps x) -1/2) x) #s(hole binary64 (/ (+ (* -1/2 eps) (pow x 2)) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 3)))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 2)))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (* 1/8 (/ (pow eps 2) (pow x 2)))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 2))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (* 1/8 (/ eps (pow x 2)))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (/ eps (* x x)) #s(hole binary64 (/ eps (pow x 2))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) #s(hole binary64 (pow x 2)))
#s(approx (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* x (+ 2 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)))
#s(approx (+ (* (/ eps x) -1/2) x) #s(hole binary64 x))
#s(approx (+ (* (/ eps x) -1/2) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 (/ eps (pow x 2))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -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))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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))))))))))
#s(approx (+ (* (/ eps x) -1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* 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))))))
#s(approx (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* -1/2 (/ eps x)) (* 2 x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* 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))))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (/ eps x) -1/2) x) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* 1/8 (/ eps (pow x 2)))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole 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)))))))
#s(approx (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (+ (* (/ eps x) -1/2) x) #s(hole binary64 (* eps (- (/ x eps) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))))
#s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (/ 1 eps)) (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ x (* -1 (* (sqrt eps) (sqrt -1))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))))
#s(approx (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole 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)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (- x (sqrt (- (* x x) eps))) #s(hole 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)))))))
#s(approx (+ (* (/ eps x) -1/2) x) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (/ eps (* x x)) 1/8) 1/2) #s(hole binary64 (* eps (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	eps	@	-inf	((/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (* x x) x (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (+ x (sqrt (- (* x x) eps))) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) 1/8 1/2)
6.0ms	x	@	0	((/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (* x x) x (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (+ x (sqrt (- (* x x) eps))) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) 1/8 1/2)
4.0ms	eps	@	inf	((/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (* x x) x (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (+ x (sqrt (- (* x x) eps))) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) 1/8 1/2)
3.0ms	x	@	-inf	((/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (* x x) x (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (+ x (sqrt (- (* x x) eps))) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) 1/8 1/2)
3.0ms	x	@	inf	((/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (* x x) x (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (+ x (sqrt (- (* x x) eps))) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (/ (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) x) (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (* (+ (* (/ eps (* x x)) 1/8) 1/2) eps) (+ (* (/ eps (* x x)) 1/8) 1/2) (/ eps (* x x)) 1/8 1/2)

rewrite146.0ms (5.9%)

Memory

-4.1MiB live, 138.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	4762
0	685	3844
0	3626	3715

Stop Event

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

Counts

171 → 244

Calls

Call 1

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

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

eval48.0ms (2%)

Memory: 1.6MiB live, 46.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 11 467 to 1 283 computations (88.8% saved)

prune8.0ms (0.3%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	332	1	333
Fresh	0	0	0
Picked	1	4	5
Done	1	4	5
Total	334	9	343

Accuracy

100.0%

Counts

343 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	62.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps)))))
✓	57.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	7.2%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
✓	4.4%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) x))
✓	41.3%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) x))
✓	43.6%	#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
✓	58.0%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 151 to 97 computations (35.8% saved)

series6.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

8 → 76

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* (sqrt eps) (/ 1 (sqrt -1)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole 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))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))))
#s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) #s(hole binary64 eps))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ x (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole 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)))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* x (+ 2 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -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))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* 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))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* -1/2 (/ eps x)) (* 2 x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole 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)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ x (* -1 (* (sqrt eps) (sqrt -1))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole 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)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))

Calls

6 calls:

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

rewrite121.0ms (4.9%)

Memory

-8.4MiB live, 43.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	2933
0	472	2396
0	2763	2319

Stop Event

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

Counts

84 → 101

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
#s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps)
eps
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
x
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* (sqrt eps) (/ 1 (sqrt -1)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole 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))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))))
#s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) #s(hole binary64 eps))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ x (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole 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)))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* (sqrt eps) (sqrt -1))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (* x x) eps) #s(hole binary64 (- (pow x 2) eps)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* x (+ 2 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) eps) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* 2 x)))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* 1/2 (/ eps x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -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))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* 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))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* -1/2 (/ eps x)) (* 2 x))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* -1/2 (/ eps x)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))))
#s(approx (- (* x x) eps) #s(hole binary64 (+ (* -1 eps) (pow x 2))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole 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)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* eps (- (/ (pow x 2) eps) 1))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ x (* -1 (* (sqrt eps) (sqrt -1))))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))))
#s(approx (/ (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) (+ x (sqrt (- (* x x) eps)))) #s(hole binary64 (+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) eps))) #s(hole 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)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* (sqrt eps) (sqrt -1)))))
#s(approx (sqrt (- (* x x) eps)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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))))))))
#s(approx (sqrt (- (* x x) eps)) #s(hole 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)))))))))
#s(approx (- (* x x) eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))))

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

eval12.0ms (0.5%)

Memory: 12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 566 to 571 computations (87.5% saved)

prune17.0ms (0.7%)

Memory

-33.4MiB live, 13.2MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	0	0	0
Picked	1	0	1
Done	1	7	8
Total	103	12	115

Accuracy

100.0%

Counts

115 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps))))))
	60.9%	(/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))))
	44.3%	(/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))))
	43.6%	(/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) x)))
	44.3%	(/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) #s(approx (+ x (sqrt (- (* x x) eps))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (*.f64 #s(literal 2 binary64) x))))
✓	62.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps)))))
✓	57.9%	(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
✓	7.2%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	3.5%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
✓	4.4%	(-.f64 x #s(approx (sqrt (- (* x x) eps)) x))
✓	41.3%	#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(approx (+ (* (/ (* eps eps) (* x x)) 1/8) (* 1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) eps)) x))
✓	58.0%	#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 672 to 227 computations (66.2% saved)

regimes16.0ms (0.7%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

regimes11.0ms (0.5%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
89.9%	2	`x`
82.8%	2	`eps`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes10.0ms (0.4%)

Memory

-39.0MiB live, 6.2MiB allocated; 4ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
95.2%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.0%	1	`eps`
58.0%	1	`x`
58.0%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes4.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.9b remaining (-1.4%)

Threshold costs -0.9b (-1.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.781728067130246e-152	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.781728067130246e-152	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.781728067130246e-152	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.781728067130246e-152	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

simplify73.0ms (2.9%)

Memory

-6.5MiB live, 89.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	238
1	72	238
2	136	208
3	342	198
4	615	198
5	2674	198
6	7306	198

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps))))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (fma.f64 x x (neg.f64 eps))))) (/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (fma.f64 x x (neg.f64 eps))))) (/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) (/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) #s(approx (- x (sqrt (- ( x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps)))) (/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) x))))
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) x))

Outputs
(/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps))))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (fma.f64 x x (neg.f64 eps))))) (/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (fma.f64 x x (neg.f64 eps))))) (/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (-.f64 x (sqrt.f64 #s(approx (- ( x x) eps) (neg.f64 eps)))) (/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) #s(approx (- x (sqrt (- ( x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps)))) (/.f64 #s(approx (- (* x x) (* (sqrt (- (* x x) eps)) (sqrt (- (* x x) eps)))) eps) (+.f64 x #s(approx (sqrt (- (* x x) eps)) x))))
#s(approx (- x (sqrt (- (* x x) eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) x))

derivations46.0ms (1.9%)

Memory

-11.1MiB live, 82.2MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 278 to 42 computations (84.9% saved)

preprocess46.0ms (1.8%)

Memory: 16.9MiB live, 63.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 592 to 110 computations (81.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze18.0ms (0.7%)

sample1.4s (55.4%)

explain133.0ms (5.4%)

preprocess21.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.4%)

rewrite92.0ms (3.7%)

eval11.0ms (0.4%)

prune6.0ms (0.2%)

series21.0ms (0.8%)

rewrite92.0ms (3.7%)

eval19.0ms (0.8%)

prune53.0ms (2.1%)

series54.0ms (2.2%)

rewrite146.0ms (5.9%)

eval48.0ms (2%)

prune8.0ms (0.3%)

series6.0ms (0.2%)

rewrite121.0ms (4.9%)

eval12.0ms (0.5%)

prune17.0ms (0.7%)

regimes16.0ms (0.7%)

regimes11.0ms (0.5%)

regimes10.0ms (0.4%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify73.0ms (2.9%)

derivations46.0ms (1.9%)

preprocess46.0ms (1.8%)

end0.0ms (0%)

Profiling