Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB 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)

sample2.1s (48.7%)

Memory

55.1MiB live, 2 449.6MiB allocated; 534ms collecting garbage

Samples

1.2s	6 395×	1	valid
507.0ms	1 728×	2	valid
10.0ms	133×	0	valid

Precisions

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

adjust: 443.0ms (35% of total)

ival-sqrt: 365.0ms (28.8% of total)

ival-div: 258.0ms (20.4% of total)

ival-sub: 97.0ms (7.7% of total)

ival-add: 95.0ms (7.5% of total)

exact: 8.0ms (0.6% of total)

ival-assert: 1.0ms (0.1% 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

explain194.0ms (4.5%)

Memory

-21.9MiB live, 229.2MiB allocated; 77ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
175	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 x))`
0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
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 -
+	175	0
-	0	81

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	175	0	0
-	0	0	81

Precision?

1.0

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

59.0ms	420×	1	valid
20.0ms	84×	2	valid
0.0ms	8×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

adjust: 16.0ms (28.4% of total)

ival-sqrt: 15.0ms (26.6% of total)

ival-div: 14.0ms (24.8% of total)

ival-add: 6.0ms (10.6% of total)

ival-sub: 5.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess234.0ms (5.4%)

Memory

30.4MiB live, 260.9MiB allocated; 33ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.9%	(-.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)

series17.0ms (0.4%)

Memory

-19.5MiB live, 22.5MiB allocated; 10ms 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
10.0ms	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))
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))

Time

Variable

Point

Expression

10.0ms

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

4.0ms

-inf

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

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))

rewrite68.0ms (1.6%)

Memory

11.9MiB live, 54.9MiB allocated; 12ms 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: 12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 489 to 308 computations (79.3% saved)

prune14.0ms (0.3%)

Memory

-29.4MiB live, 17.7MiB allocated; 4ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	58	14	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	15	73

Accuracy

84.7%

Counts

73 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.9%	(/.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))))))
	39.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	7.1%	(-.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))))))
✓	38.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	36.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
	5.6%	(-.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)))))
	3.4%	(-.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)))
▶	29.3%	(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	3.2%	#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))
	83.8%	#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)))
▶	83.9%	#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)))
	83.0%	#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)))
	68.1%	#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 663 to 428 computations (35.4% saved)

series30.0ms (0.7%)

Memory

35.7MiB live, 35.7MiB allocated; 0ms collecting garbage

Counts

46 → 193

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
6.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
6.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

13.0ms

-inf

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

6.0ms

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

6.0ms

inf

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

rewrite165.0ms (3.8%)

Memory

-12.4MiB live, 128.0MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

239 → 393

Calls

Call 1

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

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

eval94.0ms (2.2%)

Memory: 5.6MiB live, 94.7MiB allocated; 60ms collecting garbage
Compiler: Compiled 16 531 to 1 848 computations (88.8% saved)

prune25.0ms (0.6%)

Memory

-3.9MiB live, 44.1MiB allocated; 8ms collecting garbage

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	377	14	391
Fresh	6	3	9
Picked	4	1	5
Done	1	0	1
Total	388	18	406

Accuracy

99.7%

Counts

406 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.9%	(/.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))))))
	38.8%	(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.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 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
▶	20.4%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
▶	39.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	7.1%	(-.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))))))
	29.3%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	83.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	83.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- 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))) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (.f64 x x)))
	83.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (.f64 x x)))
	98.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	79.6%	#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)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
	51.1%	#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)))
	83.9%	#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))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.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)))
	82.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
	68.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
▶	98.6%	#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)))
▶	3.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 1 323 to 811 computations (38.7% saved)

series35.0ms (0.8%)

Memory

1.0MiB live, 46.0MiB allocated; 7ms collecting garbage

Counts

43 → 237

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt 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) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (+ (* (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) -1) (* 1/2 (sqrt x))) (* x x)) (+ (* (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) -1) (* 1/2 (sqrt x))) (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x)) (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (+ (* (/ x -1) -1/4) 1) (/ x -1) -1 -1/4 (* 1/2 (sqrt x)) (* x x) (/ (- (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1))) (+ (pow x -1/2) (pow (sqrt (+ x 1)) -1))) (- (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1))) (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1)) (pow (sqrt (+ x 1)) -1) (+ (pow x -1/2) (pow (sqrt (+ x 1)) -1)))
7.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt 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) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (+ (* (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) -1) (* 1/2 (sqrt x))) (* x x)) (+ (* (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) -1) (* 1/2 (sqrt x))) (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x)) (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (+ (* (/ x -1) -1/4) 1) (/ x -1) -1 -1/4 (* 1/2 (sqrt x)) (* x x) (/ (- (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1))) (+ (pow x -1/2) (pow (sqrt (+ x 1)) -1))) (- (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1))) (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1)) (pow (sqrt (+ x 1)) -1) (+ (pow x -1/2) (pow (sqrt (+ x 1)) -1)))
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)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt 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) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (+ (* (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) -1) (* 1/2 (sqrt x))) (* x x)) (+ (* (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) -1) (* 1/2 (sqrt x))) (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x)) (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (+ (* (/ x -1) -1/4) 1) (/ x -1) -1 -1/4 (* 1/2 (sqrt x)) (* x x) (/ (- (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1))) (+ (pow x -1/2) (pow (sqrt (+ x 1)) -1))) (- (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1))) (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1)) (pow (sqrt (+ x 1)) -1) (+ (pow x -1/2) (pow (sqrt (+ x 1)) -1)))

Time

Variable

Point

Expression

15.0ms

-inf

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

7.0ms

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

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

rewrite245.0ms (5.6%)

Memory

21.1MiB live, 163.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	975	8609
0	1044	6574
0	5992	6307

Stop Event

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

Counts

280 → 432

Calls

Call 1

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

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

eval116.0ms (2.7%)

Memory: -31.4MiB live, 106.6MiB allocated; 29ms collecting garbage
Compiler: Compiled 25 607 to 2 443 computations (90.5% saved)

prune32.0ms (0.7%)

Memory

25.2MiB live, 69.8MiB allocated; 5ms collecting garbage

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	545	19	564
Fresh	8	4	12
Picked	4	1	5
Done	0	1	1
Total	557	25	582

Accuracy

100.0%

Counts

582 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(/.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)))))
	38.9%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
	39.6%	(/.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)))))
	39.0%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	7.2%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #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))))
	38.6%	(/.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))) (.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)))))
	37.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
▶	39.0%	(/.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)))))
	39.0%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
	84.2%	(/.f64 #s(approx (- (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
	98.9%	(/.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)))))
▶	99.1%	(/.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)))))
▶	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)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	7.1%	(-.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))))))
	29.3%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	83.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(approx ( (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	83.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(approx ( (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
	51.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 #s(approx (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x))) (.f64 x x))) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
	82.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (+ (* (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) -1) (* 1/2 (sqrt x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
▶	98.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
▶	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
	68.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
	97.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)))
	36.0%	#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)) #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))))))
✓	3.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 1 785 to 1 105 computations (38.1% saved)

series30.0ms (0.7%)

Memory

-4.2MiB live, 40.7MiB allocated; 8ms collecting garbage

Counts

34 → 174

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

Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	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)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (* (pow x -3/2) 1/2) (/ (- (* 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)) (* 1/2 (sqrt x))) x) (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))))
5.0ms	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)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (* (pow x -3/2) 1/2) (/ (- (* 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)) (* 1/2 (sqrt x))) x) (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))))
5.0ms	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)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (* (pow x -3/2) 1/2) (/ (- (* 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)) (* 1/2 (sqrt x))) x) (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))))

Time

Variable

Point

Expression

16.0ms

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

5.0ms

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

5.0ms

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

rewrite176.0ms (4.1%)

Memory

25.7MiB live, 124.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	663	5994
0	706	5001
0	3803	4794

Stop Event

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

Counts

208 → 280

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

Outputs
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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))) (neg.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt 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)) (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt 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 (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 (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)))
(+.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)))))
#s(literal -1/8 binary64)
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
x
#s(literal -1/2 binary64)
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (.f64 (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 -3/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (.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 -5/2 binary64)) #s(literal -5/128 binary64)) #s(literal 3 binary64)) (pow.f64 (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 -5/2 binary64)) #s(literal -5/128 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (-.f64 (.f64 (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 -3/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 (.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))))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 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) (.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 -3/2 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)))
(+.f64 (.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 -5/128 binary64)
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(pow.f64 x #s(literal -5/2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64)))
#s(literal -5/2 binary64)
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (.f64 (pow.f64 x #s(literal -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 -3/2 binary64)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(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 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 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)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (.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 -3/2 binary64)) #s(literal 1/16 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))
#s(literal 1/16 binary64)
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
#s(literal -3/2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 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 #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 (neg.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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#s(approx (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64)))
#s(approx (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))) (/.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))
#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 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sqrt.f64 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)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 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 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -5/32 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))) (.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 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 (sqrt.f64 x) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #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 #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 (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 -3 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 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 -3 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 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 (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))) (.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 -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 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 x x)))
#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 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sqrt.f64 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)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 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 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -5/32 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))) (.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 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 (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))) (.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 -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 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)))
#s(approx (/ (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))) x) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 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 -1/4 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 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 -1/4 binary64) (sqrt.f64 x)) #s(literal -1 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 binary64) (pow.f64 x #s(literal 3/2 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 (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #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 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/8 binary64) (.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64) (.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 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 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 5/128 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/16 binary64))) x))) x)))))
#s(approx (pow x -1/2) (*.f64 #s(literal -1 binary64) (pow.f64 (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 (.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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 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 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 5/128 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal 1/16 binary64))))))
#s(approx (pow x -5/2) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal 1/16 binary64)))))
#s(approx (pow x -3/2) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 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 (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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 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 (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 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 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 (sqrt.f64 x) #s(literal -1 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 -1/4 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 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 -1/4 binary64) (sqrt.f64 x)) #s(literal -1 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 binary64) (pow.f64 x #s(literal 3/2 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 (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 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)))) (*.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 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 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)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))) x) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (* (pow x -3/2) 1/2) (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))) x) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* -1/8 (pow x -1/2)) (* 1/2 (sqrt x))) x) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/8 binary64) (.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/8 (pow x -1/2)) (* 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)) (* 1/2 (sqrt x))) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))

eval79.0ms (1.8%)

Memory: 6.5MiB live, 96.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 17 094 to 1 530 computations (91% saved)

prune149.0ms (3.4%)

Memory

-50.5MiB live, 64.1MiB allocated; 27ms collecting garbage

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	449	9	458
Fresh	7	11	18
Picked	2	3	5
Done	0	2	2
Total	458	25	483

Accuracy

100.0%

Counts

483 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.9%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
	39.6%	(/.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)))))
	39.0%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	98.6%	(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.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)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	7.2%	(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
✓	39.0%	(/.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)))))
	39.0%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
	38.6%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #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)))))
	37.8%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
	98.9%	(/.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)))))
	80.9%	(/.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 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64))))))
	83.9%	(/.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)) (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))
	29.0%	(/.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)) #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))))) 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 #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)))))
	98.3%	(/.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) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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)))))
✓	7.1%	(-.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))))))
	29.3%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	83.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(approx ( (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	83.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(approx ( (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
	51.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 #s(approx (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x))) (.f64 x x))) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
	82.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (+ (* (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) -1) (* 1/2 (sqrt x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	98.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
✓	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
✓	3.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 3 005 to 1 010 computations (66.4% saved)

regimes30.0ms (0.7%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Counts

57 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (+ (* (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) -1) (* 1/2 (sqrt x))) (.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(approx ( (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(approx ( (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #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 x) 1) (- x 1))))) (/.f64 (fma.f64 #s(approx (/ (* -1/2 (- (* (+ (* (/ x -1) -1/4) 1) (pow x -1/2)) (sqrt x))) x) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x))) (.f64 x x))) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(/.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))) (.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)))) (*.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 x) 1) (- x 1))))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (.f64 x x)))
(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.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 (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)) (sqrt.f64 (.f64 x (+.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)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.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)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 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)) #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 (- (/ 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 x) 1) (- 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))) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (.f64 x x)))
(/.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) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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)))) (/.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)) #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 x (+.f64 x #s(literal 1 binary64))))))) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (pow x -1) (* (pow (sqrt (+ x 1)) -1) (pow (sqrt (+ x 1)) -1))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #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 -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))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.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 (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 #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)) #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))))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) #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 #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 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.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)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.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 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (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) (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)))))

Calls

2 calls:

14.0ms	x
11.0ms	(-.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%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes37.0ms (0.8%)

Memory

-14.7MiB live, 30.6MiB allocated; 4ms collecting garbage

Counts

46 → 1

Calls

Call 1

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

Outputs

(/.f64 #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:

12.0ms	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
98.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.8%)

Memory

-5.7MiB live, 38.5MiB allocated; 4ms collecting garbage

Counts

42 → 1

Calls

Call 1

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

#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)))

Calls

2 calls:

20.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
11.0ms	x

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)

regimes47.0ms (1.1%)

Memory

-10.9MiB live, 32.8MiB allocated; 6ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

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)) (*.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:

35.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
10.0ms	x

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)

regimes17.0ms (0.4%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	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
98.0%	1	`x`
98.0%	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)

regimes17.0ms (0.4%)

Memory

-29.2MiB live, 23.6MiB allocated; 8ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

Outputs

(/.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:

9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
7.0ms	x

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Calls

2 calls:

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
82.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
82.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
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
5.6%	1	`x`
5.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
3.4%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify88.0ms (2%)

Memory

-12.3MiB live, 78.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	346
1	188	342
2	533	330
3	2457	330

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

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

derivations157.0ms (3.6%)

Memory

8.7MiB live, 153.7MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 362 to 116 computations (68% saved)

preprocess78.0ms (1.8%)

Memory: -3.8MiB live, 80.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 764 to 262 computations (65.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample2.1s (48.7%)

explain194.0ms (4.5%)

preprocess234.0ms (5.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series17.0ms (0.4%)

rewrite68.0ms (1.6%)

eval8.0ms (0.2%)

prune14.0ms (0.3%)

series30.0ms (0.7%)

rewrite165.0ms (3.8%)

eval94.0ms (2.2%)

prune25.0ms (0.6%)

series35.0ms (0.8%)

rewrite245.0ms (5.6%)

eval116.0ms (2.7%)

prune32.0ms (0.7%)

series30.0ms (0.7%)

rewrite176.0ms (4.1%)

eval79.0ms (1.8%)

prune149.0ms (3.4%)

regimes30.0ms (0.7%)

regimes37.0ms (0.8%)

regimes34.0ms (0.8%)

regimes47.0ms (1.1%)

regimes17.0ms (0.4%)

regimes17.0ms (0.4%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

simplify88.0ms (2%)

derivations157.0ms (3.6%)

preprocess78.0ms (1.8%)

end0.0ms (0%)

Profiling