Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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)

sample2.0s (49.9%)

Memory

84.9MiB live, 1 652.1MiB allocated; 994ms collecting garbage

Samples

1.2s	6 392×	1	valid
390.0ms	1 728×	2	valid
8.0ms	136×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-sqrt: 575.0ms (43.8% of total)

ival-div: 277.0ms (21.1% of total)

adjust: 270.0ms (20.6% of total)

ival-sub: 99.0ms (7.5% of total)

ival-add: 83.0ms (6.3% of total)

exact: 8.0ms (0.6% of total)

ival-assert: 2.0ms (0.2% of total)

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

const: 0.0ms (0% of total)

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

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

Bogosity

explain165.0ms (4.2%)

Memory

-16.6MiB live, 228.9MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
174	1	(2.6607776502983036e+215)	-	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(sqrt.f64 x)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 x))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
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	175	0

Confusion

	Predicted +	Predicted -
+	174	0
-	1	81

Precision

0.9942857142857143

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	174	0	0
-	1	0	81

Precision?

0.9942857142857143

Recall?

1.0

Freqs

test

number	freq
0	81
1	175

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms	384×	1	valid
25.0ms	108×	2	valid
4.0ms	20×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

adjust: 20.0ms (29% of total)

ival-div: 18.0ms (26.1% of total)

ival-sqrt: 18.0ms (26.1% of total)

ival-add: 6.0ms (8.7% of total)

ival-sub: 5.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess233.0ms (5.9%)

Memory

-3.7MiB live, 137.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (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
0	8	11
0	14	11
1	17	11
2	20	11
3	35	11
4	92	11
5	548	11
6	5514	11
0	8019	11

Stop Event

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

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)))))

Outputs

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series7.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms 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
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))
2.0ms	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

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))

2.0ms

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))

rewrite90.0ms (2.3%)

Memory

-16.0MiB live, 93.0MiB allocated; 19ms 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))))))))

eval8.0ms (0.2%)

Memory: 16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 489 to 308 computations (79.3% saved)

prune15.0ms (0.4%)

Memory

-24.4MiB live, 21.8MiB allocated; 4ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	56	16	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	17	73

Accuracy

84.4%

Counts

73 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.5%	(/.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))))))
	39.6%	(/.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))))
	39.6%	(/.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)))))
	8.6%	(-.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))))))
✓	39.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
	35.3%	(-.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)))))
	3.6%	(-.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)))
	31.2%	(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	3.4%	#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))
▶	82.7%	#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)))
▶	82.8%	#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)))
	81.6%	#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)))
▶	68.4%	#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 771 to 482 computations (37.5% saved)

series23.0ms (0.6%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Counts

39 → 142

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))
(-.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 #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 #s(literal 1/2 binary64) 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)))
(*.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 (.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)))
(/.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))
(-.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 (.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))))

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 (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 (* (sqrt (pow x -3)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 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 (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (/ (+ (* 1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (pow x 3))) (* 1/2 (sqrt x))) 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 (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 (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (- (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#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 (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 (pow x -3)) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 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 -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -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)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 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 (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -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 -3)) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (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)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 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 (sqrt (+ x 1))) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (pow x -3)) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt 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 (sqrt (+ x 1))) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (pow x -3)) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1))))
5.0ms	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 (sqrt (+ x 1))) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (pow x -3)) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* x x)) (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1))))

Time

Variable

Point

Expression

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

5.0ms

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

rewrite149.0ms (3.8%)

Memory

-5.3MiB live, 137.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	579	5512
0	636	4416
0	3419	4303

Stop Event

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

Counts

181 → 300

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

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

eval56.0ms (1.4%)

Memory: -26.0MiB live, 65.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 19 666 to 1 853 computations (90.6% saved)

prune25.0ms (0.6%)

Memory

6.6MiB live, 52.9MiB allocated; 3ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	424	10	434
Fresh	3	8	11
Picked	4	1	5
Done	0	1	1
Total	431	20	451

Accuracy

99.5%

Counts

451 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.5%	(/.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))))))
	39.6%	(/.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))))
▶	39.6%	(/.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)))))
	8.6%	(-.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))))))
✓	39.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
	3.6%	(-.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)))
▶	31.2%	(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	2.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
	82.7%	#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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 x x)))
▶	51.2%	#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) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (.f64 x x))))) (.f64 x x)))
	81.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (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)))
	39.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (*.f64 x x)))
	82.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #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 -1/2 binary64)))) x)) (.f64 x x)))
	81.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	96.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	96.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
▶	97.7%	#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)))
	17.2%	#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)))))

Compiler

Compiled 1 378 to 862 computations (37.4% saved)

series84.0ms (2.1%)

Memory

-10.9MiB live, 39.2MiB allocated; 11ms collecting garbage

Counts

45 → 204

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

Calls

3 calls:

Time	Variable		Point	Expression
65.0ms	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 x) (sqrt x)) x) (+ (* -1 x) (sqrt x)) -1 (sqrt 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))) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (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)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 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) -5 (+ (* 1/2 x) 1) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* (sqrt x) 3/8) (* -1/2 (sqrt x)) (* x x))
8.0ms	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 x) (sqrt x)) x) (+ (* -1 x) (sqrt x)) -1 (sqrt 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))) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (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)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 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) -5 (+ (* 1/2 x) 1) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* (sqrt x) 3/8) (* -1/2 (sqrt x)) (* x 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 x) (sqrt x)) x) (+ (* -1 x) (sqrt x)) -1 (sqrt 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))) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (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)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 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) -5 (+ (* 1/2 x) 1) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* (sqrt x) 3/8) (* -1/2 (sqrt x)) (* x x))

Time

Variable

Point

Expression

65.0ms

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

8.0ms

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

rewrite162.0ms (4.1%)

Memory

19.1MiB live, 208.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	808	7335
0	875	5819
0	4805	5516

Stop Event

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

Counts

249 → 423

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

eval62.0ms (1.6%)

Memory: -0.2MiB live, 136.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 27 023 to 2 336 computations (91.4% saved)

prune31.0ms (0.8%)

Memory

5.6MiB live, 61.2MiB allocated; 19ms collecting garbage

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	478	18	496
Fresh	9	4	13
Picked	5	0	5
Done	1	1	2
Total	493	23	516

Accuracy

99.9%

Counts

516 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(/.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)))))
	40.1%	(/.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)))))
	39.6%	(/.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))))
	37.6%	(/.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))
	39.6%	(/.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)))))
▶	39.6%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
	98.3%	(/.f64 #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)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	98.6%	(/.f64 #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)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	97.7%	(/.f64 #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)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	96.4%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.6%	(-.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))))))
✓	39.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	3.6%	(-.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))))
	31.2%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	81.7%	#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)))
	81.6%	#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)))
	96.8%	#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)))
	81.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
▶	5.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* -1 x) (sqrt x)) (sqrt.f64 x)) x))
▶	96.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
	97.7%	#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) x)))
▶	50.9%	#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)))
	96.5%	#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 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)))

Compiler

Compiled 1 499 to 938 computations (37.4% saved)

series26.0ms (0.6%)

Memory

2.0MiB live, 49.0MiB allocated; 2ms collecting garbage

Counts

44 → 205

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) -1/8 (pow x -1/2) x -1/2 (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x)))) -5/128 (pow x -5/2) -5/2 (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))) 1/16 (pow x -3/2) -3/2 (* 1/2 (sqrt x)) 1/2 (sqrt x) (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* -1 x) (sqrt x)) x) (+ (* -1 x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1))) (* x (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1 (pow x 3/2)) 1/2) (/ 1 (pow x 3/2)) (pow x 3/2) 3/2 (- (/ 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))) (* -3/8 (sqrt x)) -3/8 (* x x))
7.0ms	x	@	inf	((/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) -1/8 (pow x -1/2) x -1/2 (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x)))) -5/128 (pow x -5/2) -5/2 (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))) 1/16 (pow x -3/2) -3/2 (* 1/2 (sqrt x)) 1/2 (sqrt x) (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* -1 x) (sqrt x)) x) (+ (* -1 x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1))) (* x (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1 (pow x 3/2)) 1/2) (/ 1 (pow x 3/2)) (pow x 3/2) 3/2 (- (/ 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))) (* -3/8 (sqrt x)) -3/8 (* x x))
6.0ms	x	@	0	((/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) -1/8 (pow x -1/2) x -1/2 (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x)))) -5/128 (pow x -5/2) -5/2 (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))) 1/16 (pow x -3/2) -3/2 (* 1/2 (sqrt x)) 1/2 (sqrt x) (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* -1 x) (sqrt x)) x) (+ (* -1 x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1))) (* x (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1 (pow x 3/2)) 1/2) (/ 1 (pow x 3/2)) (pow x 3/2) 3/2 (- (/ 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))) (* -3/8 (sqrt x)) -3/8 (* x x))

Time

Variable

Point

Expression

8.0ms

-inf

((/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) -1/8 (pow x -1/2) x -1/2 (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x)))) -5/128 (pow x -5/2) -5/2 (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))) 1/16 (pow x -3/2) -3/2 (* 1/2 (sqrt x)) 1/2 (sqrt x) (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* -1 x) (sqrt x)) x) (+ (* -1 x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1))) (* x (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1 (pow x 3/2)) 1/2) (/ 1 (pow x 3/2)) (pow x 3/2) 3/2 (- (/ 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))) (* -3/8 (sqrt x)) -3/8 (* x x))

7.0ms

inf

((/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) -1/8 (pow x -1/2) x -1/2 (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x)))) -5/128 (pow x -5/2) -5/2 (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))) 1/16 (pow x -3/2) -3/2 (* 1/2 (sqrt x)) 1/2 (sqrt x) (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* -1 x) (sqrt x)) x) (+ (* -1 x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1))) (* x (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1 (pow x 3/2)) 1/2) (/ 1 (pow x 3/2)) (pow x 3/2) 3/2 (- (/ 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))) (* -3/8 (sqrt x)) -3/8 (* x x))

6.0ms

((/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) -1/8 (pow x -1/2) x -1/2 (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x)))) -5/128 (pow x -5/2) -5/2 (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))) 1/16 (pow x -3/2) -3/2 (* 1/2 (sqrt x)) 1/2 (sqrt x) (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* -1 x) (sqrt x)) x) (+ (* -1 x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1))) (* x (+ x 1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1 (pow x 3/2)) 1/2) (/ 1 (pow x 3/2)) (pow x 3/2) 3/2 (- (/ 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))) (* -3/8 (sqrt x)) -3/8 (* x x))

rewrite218.0ms (5.5%)

Memory

17.6MiB live, 190.7MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	785	7274
0	834	5840
0	4580	5571

Stop Event

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

Counts

249 → 377

Calls

Call 1

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

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

eval56.0ms (1.4%)

Memory: 3.4MiB live, 90.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 20 828 to 1 939 computations (90.7% saved)

prune49.0ms (1.2%)

Memory

17.7MiB live, 73.8MiB allocated; 21ms collecting garbage

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	422	11	433
Fresh	8	9	17
Picked	2	3	5
Done	0	1	1
Total	432	24	456

Accuracy

99.9%

Counts

456 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(/.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 (+.f64 x #s(literal 1 binary64)) x))))) (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))
	40.1%	(/.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))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
	31.1%	(/.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))))
	37.6%	(/.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))
	39.6%	(/.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)))))
✓	39.6%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
	98.3%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	83.8%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))
	97.7%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	98.6%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (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)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	96.5%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	96.4%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	24.8%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(approx (/ (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 4 binary64))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.6%	(-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))))
✓	39.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	3.6%	(-.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))))
	31.2%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	81.7%	#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)))
	96.8%	#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)))
	81.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* -1 x) (sqrt x)) (sqrt.f64 x)) x))
	97.7%	#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) x)))
✓	50.9%	#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)))
	50.9%	#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 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 (.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (.f64 x x)))) x)))

Compiler

Compiled 2 863 to 926 computations (67.7% saved)

regimes28.0ms (0.7%)

Memory

-7.2MiB live, 41.6MiB allocated; 3ms collecting garbage

Counts

56 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

13.0ms	x
10.0ms	(-.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
98.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.6%)

Memory

-17.7MiB live, 28.5MiB allocated; 2ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

11.0ms	x
9.0ms	(-.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
98.3%	1	`x`
98.3%	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)

regimes20.0ms (0.5%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

42 → 2

Calls

Call 1

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

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))) (sqrt.f64 (*.f64 x (+.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) x)))

Calls

2 calls:

10.0ms	x
8.0ms	(-.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
99.3%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.3%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes56.0ms (1.4%)

Memory

-26.4MiB live, 19.9MiB allocated; 2ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

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

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

Calls

2 calls:

48.0ms	x
6.0ms	(-.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)

regimes12.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

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
98.9%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.9%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Calls

2 calls:

5.0ms	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
98.5%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.5%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.3%)

Memory

-36.2MiB live, 10.6MiB allocated; 8ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Calls

2 calls:

10.0ms	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
98.5%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.5%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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
83.6%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
83.6%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	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
83.6%	2	`x`
83.6%	2	`(-.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)

regimes6.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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
83.6%	2	`x`
83.6%	2	`(-.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)

regimes9.0ms (0.2%)

Memory

-31.6MiB live, 12.0MiB allocated; 3ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* -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 -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 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)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) 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 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 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)))))
3.0ms	x

Results

Accuracy	Segments	Branch
81.5%	1	`x`
81.5%	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)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -2.4b remaining (-4%)

Threshold costs -2.4b (-4%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* -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 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
5.8%	1	`x`
5.8%	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)

bsearch17.0ms (0.4%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	128467.54637735295	32038966.644124992

Samples

7.0ms	64×	1	valid
3.0ms	48×	0	valid

Compiler

Compiled 714 to 453 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (28.8% of total)

ival-sqrt: 2.0ms (28.8% of total)

adjust: 1.0ms (14.4% of total)

ival-sub: 1.0ms (14.4% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.5%)

Memory

-18.0MiB live, 27.9MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	101140674.78239049	13701037923.654804

Samples

14.0ms

112×

valid

Compiler

Compiled 343 to 208 computations (39.4% saved)

Precisions

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

ival-div: 5.0ms (45.1% of total)

ival-sqrt: 3.0ms (27.1% of total)

adjust: 2.0ms (18% of total)

ival-sub: 1.0ms (9% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	101140674.78239049	13701037923.654804

Compiler

Compiled 238 to 173 computations (27.3% saved)

bsearch9.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	101140674.78239049	13701037923.654804

Samples

5.0ms

48×

valid

Compiler

Compiled 462 to 334 computations (27.7% saved)

Precisions

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

ival-div: 1.0ms (26.2% of total)

adjust: 1.0ms (26.2% of total)

ival-sqrt: 1.0ms (26.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	101140674.78239049	13701037923.654804

Compiler

Compiled 455 to 341 computations (25.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1177419315946836e-16	4.915653116759761e-13

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1177419315946836e-16	4.915653116759761e-13

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.915653116759761e-13	2.7570982335297506e-12

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify84.0ms (2.1%)

Memory

-59.8MiB live, 71.5MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	668
1	228	666
2	627	653
3	3259	652

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (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)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #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)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 155000 binary64)) (/.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))) (sqrt.f64 (.f64 x (+.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) x))))
(if (<=.f64 x #s(literal 132000000 binary64)) (/.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))) (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 132000000 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))))) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 102000000 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 #s(approx (- ( 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 102000000 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 #s(approx (- ( 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2535301200456459/5070602400912917605986812821504 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 #s(literal 1/2 binary64) (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))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2535301200456459/5070602400912917605986812821504 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 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)))) (/.f64 #s(approx (+ (* -1 x) (sqrt x)) (sqrt.f64 x)) x))

Outputs
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (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)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #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)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 155000 binary64)) (/.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))) (sqrt.f64 (.f64 x (+.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) x))))
(if (<=.f64 x #s(literal 155000 binary64)) (/.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))) (sqrt.f64 (.f64 x (+.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) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) x))))
(if (<=.f64 x #s(literal 132000000 binary64)) (/.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))) (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 132000000 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))))) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 102000000 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 #s(approx (- ( 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 102000000 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 #s(approx (- ( 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (pow x -1/2)) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (pow x -3/2)) (* 1/2 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2535301200456459/5070602400912917605986812821504 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 #s(literal 1/2 binary64) (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))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2535301200456459/5070602400912917605986812821504 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 1/2 (pow (sqrt x) -1)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -3)) 1/2) (+ (* 1/4 x) 1)) (+ (* -1/2 (sqrt x)) (* 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)))) (/.f64 #s(approx (+ (* -1 x) (sqrt x)) (sqrt.f64 x)) x))

derivations134.0ms (3.4%)

Memory

20.2MiB live, 115.3MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 684 to 141 computations (79.4% saved)

preprocess63.0ms (1.6%)

Memory: -18.7MiB live, 75.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 1 408 to 312 computations (77.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample2.0s (49.9%)

explain165.0ms (4.2%)

preprocess233.0ms (5.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.2%)

rewrite90.0ms (2.3%)

eval8.0ms (0.2%)

prune15.0ms (0.4%)

series23.0ms (0.6%)

rewrite149.0ms (3.8%)

eval56.0ms (1.4%)

prune25.0ms (0.6%)

series84.0ms (2.1%)

rewrite162.0ms (4.1%)

eval62.0ms (1.6%)

prune31.0ms (0.8%)

series26.0ms (0.6%)

rewrite218.0ms (5.5%)

eval56.0ms (1.4%)

prune49.0ms (1.2%)

regimes28.0ms (0.7%)

regimes23.0ms (0.6%)

regimes20.0ms (0.5%)

regimes56.0ms (1.4%)

regimes12.0ms (0.3%)

regimes10.0ms (0.2%)

regimes14.0ms (0.3%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch17.0ms (0.4%)

bsearch21.0ms (0.5%)

bsearch1.0ms (0%)

bsearch9.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify84.0ms (2.1%)

derivations134.0ms (3.4%)

preprocess63.0ms (1.6%)

end0.0ms (0%)

Profiling