Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.7s (54.7%)

Memory

70.1MiB live, 2 434.4MiB allocated; 510ms collecting garbage

Samples

1.0s	6 207×	1	valid
349.0ms	1 932×	2	valid
6.0ms	117×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sqrt: 526.0ms (47.8% of total)

adjust: 261.0ms (23.7% of total)

ival-div!: 228.0ms (20.7% of total)

ival-add!: 43.0ms (3.9% of total)

ival-sub!: 43.0ms (3.9% of total)

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

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

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

Bogosity

explain159.0ms (5.2%)

Memory

-26.6MiB live, 117.5MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
173	1	(1.0168168557339037e+215)	2	(28.93523098513091)	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
0	0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`(sqrt.f64 x)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 x))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`	cancellation	172	2

Confusion

	Predicted +	Predicted -
+	171	2
-	1	82

Precision

0.9941860465116279

Recall

0.9884393063583815

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	171	2	0
-	1	0	82

Precision?

0.9942528735632183

Recall?

1.0

Freqs

test

number	freq
0	84
1	172

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	374×	1	valid
30.0ms	128×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 17.0ms (38.4% of total)

adjust: 11.0ms (24.9% of total)

ival-div!: 11.0ms (24.9% of total)

ival-add!: 3.0ms (6.8% of total)

ival-sub!: 2.0ms (4.5% of total)

preprocess57.0ms (1.9%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	20	38
2	23	38
3	45	38
4	134	38
5	1084	35
6	5717	35

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series13.0ms (0.4%)

Memory

-30.9MiB live, 14.4MiB allocated; 5ms collecting garbage

Counts

8 → 44

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
4.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
1.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

7.0ms

inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

4.0ms

-inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

1.0ms

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

rewrite64.0ms (2.1%)

Memory

29.7MiB live, 74.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	1066
0	222	934
0	1281	890

Stop Event

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

Counts

52 → 68

Calls

Call 1

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

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

eval9.0ms (0.3%)

Memory: -32.7MiB live, 13.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 379 to 307 computations (77.7% saved)

prune9.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	49	13	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	14	63

Accuracy

82.1%

Counts

63 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	7.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
✓	39.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	36.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
	5.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
	3.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
▶	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
▶	32.2%	(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	3.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
	2.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
	80.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (.f64 x x)))
▶	80.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
	80.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (.f64 x x)))
	69.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))

Compiler

Compiled 565 to 396 computations (29.9% saved)

series34.0ms (1.1%)

Memory

-4.8MiB live, 43.9MiB allocated; 8ms collecting garbage

Counts

46 → 193

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* 1/2 (pow (sqrt x) -1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 -1))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 1))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x)))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (sqrt (pow x -1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 x))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (sqrt (pow x -1)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
6.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
6.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

17.0ms

-inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

6.0ms

inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

6.0ms

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

rewrite126.0ms (4.1%)

Memory

0.6MiB live, 139.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	6257
0	748	4871
0	3786	4750

Stop Event

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

Counts

239 → 393

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x))
(-.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
x
#s(literal -5 binary64)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 x)
(fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* 1/2 (pow (sqrt x) -1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 -1))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 1))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x)))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (sqrt (pow x -1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 x))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (sqrt (pow x -1)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

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

eval45.0ms (1.5%)

Memory: 24.3MiB live, 73.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 14 466 to 1 836 computations (87.3% saved)

prune15.0ms (0.5%)

Memory

-21.5MiB live, 25.4MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	314	10	324
Fresh	7	1	8
Picked	5	0	5
Done	0	1	1
Total	326	12	338

Accuracy

99.8%

Counts

338 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.5%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
▶	39.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	32.2%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	80.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
▶	80.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (.f64 x x)))
	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
▶	79.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
▶	98.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
	21.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))))
▶	3.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 857 to 544 computations (36.5% saved)

series24.0ms (0.8%)

Memory

-10.4MiB live, 35.9MiB allocated; 3ms collecting garbage

Counts

33 → 164

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* -1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* -1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 x))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (* -1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (* (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* -1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* 1/2 (sqrt x)) (sqrt x) (* x x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) (* -1/2 (- (pow x -1/2) (sqrt x))) (- (pow x -1/2) (sqrt x)))
6.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* 1/2 (sqrt x)) (sqrt x) (* x x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) (* -1/2 (- (pow x -1/2) (sqrt x))) (- (pow x -1/2) (sqrt x)))
5.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* 1/2 (sqrt x)) (sqrt x) (* x x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) (* -1/2 (- (pow x -1/2) (sqrt x))) (- (pow x -1/2) (sqrt x)))

Time

Variable

Point

Expression

8.0ms

-inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* 1/2 (sqrt x)) (sqrt x) (* x x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) (* -1/2 (- (pow x -1/2) (sqrt x))) (- (pow x -1/2) (sqrt x)))

6.0ms

inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* 1/2 (sqrt x)) (sqrt x) (* x x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) (* -1/2 (- (pow x -1/2) (sqrt x))) (- (pow x -1/2) (sqrt x)))

5.0ms

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* 1/2 (sqrt x)) (sqrt x) (* x x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (* -1/2 (- (pow x -1/2) (sqrt x))) (* x x)) (* -1/2 (- (pow x -1/2) (sqrt x))) (- (pow x -1/2) (sqrt x)))

rewrite155.0ms (5.1%)

Memory

18.9MiB live, 162.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	713	6192
0	757	4843
0	4316	4570

Stop Event

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

Counts

197 → 296

Calls

Call 1

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

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

eval35.0ms (1.2%)

Memory: 16.7MiB live, 62.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 14 998 to 1 535 computations (89.8% saved)

prune17.0ms (0.6%)

Memory

-16.7MiB live, 30.4MiB allocated; 2ms collecting garbage

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	296	11	307
Fresh	3	3	6
Picked	3	2	5
Done	0	1	1
Total	302	17	319

Accuracy

99.9%

Counts

319 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.7%	(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	40.4%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	22.5%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
	4.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	37.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
▶	39.5%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.5%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
✓	39.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	32.2%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	97.7%	#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	80.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (.f64 x x)))
	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
✓	79.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
▶	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
▶	98.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
▶	47.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (.f64 x x))) x)))
✓	3.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 1 067 to 649 computations (39.2% saved)

series33.0ms (1.1%)

Memory

-14.7MiB live, 36.3MiB allocated; 5ms collecting garbage

Counts

38 → 163

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* -3/8 (sqrt x)) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 x))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* -3/8 (sqrt x)) #s(hole binary64 (* 3/8 (* (sqrt x) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (pow x 3/2) 3/2 (* -3/8 (sqrt x)) -3/8 (* x x))
7.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (pow x 3/2) 3/2 (* -3/8 (sqrt x)) -3/8 (* x x))
6.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (pow x 3/2) 3/2 (* -3/8 (sqrt x)) -3/8 (* x x))

Time

Variable

Point

Expression

11.0ms

-inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (pow x 3/2) 3/2 (* -3/8 (sqrt x)) -3/8 (* x x))

7.0ms

inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (pow x 3/2) 3/2 (* -3/8 (sqrt x)) -3/8 (* x x))

6.0ms

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (pow x 3/2) 3/2 (* -3/8 (sqrt x)) -3/8 (* x x))

rewrite137.0ms (4.5%)

Memory

11.7MiB live, 150.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	696	5522
0	743	4543
0	4189	4326

Stop Event

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

Counts

201 → 310

Calls

Call 1

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

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

eval39.0ms (1.3%)

Memory: 17.7MiB live, 66.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 16 013 to 1 581 computations (90.1% saved)

prune20.0ms (0.7%)

Memory

-10.1MiB live, 36.9MiB allocated; 1ms collecting garbage

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	306	5	311
Fresh	2	7	9
Picked	2	3	5
Done	0	3	3
Total	310	18	328

Accuracy

99.9%

Counts

328 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.7%	(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	40.4%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	22.5%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
	4.6%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.5%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.5%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
	37.8%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
	97.1%	(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	32.2%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	97.7%	#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	80.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (.f64 x x)))
	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
✓	79.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
	98.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
✓	3.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 1 984 to 648 computations (67.3% saved)

regimes21.0ms (0.7%)

Memory

-13.0MiB live, 33.7MiB allocated; 3ms collecting garbage

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

10.0ms	x
7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.8%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.8%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.4%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.4%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.4%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.4%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.1%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.1%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.4%)

Memory

-29.9MiB live, 17.1MiB allocated; 1ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.1%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.1%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))

Calls

2 calls:

5.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.1%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.1%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.3%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))

(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.0%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.0%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.3%)

Memory

-35.6MiB live, 14.0MiB allocated; 4ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))

Calls

2 calls:

5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
4.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.4%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
79.9%	1	`x`
79.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
5.7%	1	`x`
5.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
3.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
3.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch17.0ms (0.6%)

Memory

-23.6MiB live, 23.4MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	17814850587960.402	1904323402482081.5

Samples

11.0ms

112×

valid

Compiler

Compiled 392 to 222 computations (43.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sqrt: 3.0ms (36.7% of total)

ival-div!: 3.0ms (36.7% of total)

adjust: 1.0ms (12.2% of total)

ival-sub!: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch20.0ms (0.7%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	32441.10167849455	10030021829.374704

Samples

12.0ms

144×

valid

Compiler

Compiled 356 to 246 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sqrt: 4.0ms (45.2% of total)

adjust: 2.0ms (22.6% of total)

ival-div!: 2.0ms (22.6% of total)

ival-sub!: 1.0ms (11.3% of total)

ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	32441.10167849455	10030021829.374704

Compiler

Compiled 671 to 453 computations (32.5% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	32441.10167849455	10030021829.374704

Compiler

Compiled 662 to 462 computations (30.2% saved)

bsearch11.0ms (0.4%)

Memory

-32.0MiB live, 14.5MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	32441.10167849455	10030021829.374704

Samples

5.0ms

64×

valid

Compiler

Compiled 635 to 453 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sqrt: 2.0ms (50.2% of total)

adjust: 1.0ms (25.1% of total)

ival-div!: 1.0ms (25.1% of total)

ival-sub!: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.977572173880951e-16	8.556902290207669e-8

Compiler

Compiled 14 to 12 computations (14.3% saved)

derivations180.0ms (5.9%)

Memory

7.7MiB live, 113.3MiB allocated; 114ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 670 to 119 computations (82.2% saved)

preprocess53.0ms (1.7%)

Memory: 5.1MiB live, 100.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 705 to 143 computations (79.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.7s (54.7%)

explain159.0ms (5.2%)

preprocess57.0ms (1.9%)

series13.0ms (0.4%)

rewrite64.0ms (2.1%)

eval9.0ms (0.3%)

prune9.0ms (0.3%)

series34.0ms (1.1%)

rewrite126.0ms (4.1%)

eval45.0ms (1.5%)

prune15.0ms (0.5%)

series24.0ms (0.8%)

rewrite155.0ms (5.1%)

eval35.0ms (1.2%)

prune17.0ms (0.6%)

series33.0ms (1.1%)

rewrite137.0ms (4.5%)

eval39.0ms (1.3%)

prune20.0ms (0.7%)

regimes21.0ms (0.7%)

regimes13.0ms (0.4%)

regimes11.0ms (0.4%)

regimes11.0ms (0.4%)

regimes9.0ms (0.3%)

regimes8.0ms (0.3%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch17.0ms (0.6%)

bsearch20.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch11.0ms (0.4%)

bsearch0.0ms (0%)

derivations180.0ms (5.9%)

preprocess53.0ms (1.7%)

end0.0ms (0%)

Profiling