Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.6s (51.8%)

Memory

104.7MiB live, 2 573.4MiB allocated; 439ms collecting garbage

Samples

833.0ms	6 167×	1	valid
397.0ms	1 978×	2	valid
5.0ms	111×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 978.0ms

ival-sqrt: 393.0ms (40.2% of total)

adjust: 252.0ms (25.8% of total)

ival-div!: 237.0ms (24.2% of total)

ival-add!: 53.0ms (5.4% of total)

ival-sub!: 42.0ms (4.3% of total)

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

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

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

Bogosity

explain209.0ms (6.8%)

Memory

-12.1MiB live, 150.2MiB allocated; 125ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
187	-	-	`(-.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	187	0

Confusion

	Predicted +	Predicted -
+	187	0
-	0	69

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	187	0	0
-	0	0	69

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	69
1	187

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

124.0ms	396×	1	valid
19.0ms	110×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

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

ival-sqrt: 16.0ms (36.6% of total)

adjust: 11.0ms (25.2% of total)

ival-div!: 11.0ms (25.2% of total)

ival-add!: 3.0ms (6.9% of total)

ival-sub!: 2.0ms (4.6% of total)

preprocess64.0ms (2.1%)

Memory

1.2MiB live, 52.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series12.0ms (0.4%)

Memory

-35.9MiB live, 10.8MiB allocated; 3ms collecting garbage

Counts

8 → 44

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
3.0ms	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))
3.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

rewrite87.0ms (2.8%)

Memory

3.7MiB live, 48.9MiB allocated; 5ms 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 (.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 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #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 (/.f64 #s(literal 1 binary64) x))
#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) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (+.f64 (neg.f64 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#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 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#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 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) 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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) 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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.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 1)) (.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))

eval7.0ms (0.2%)

Memory: 8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 447 to 307 computations (78.8% saved)

prune7.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	52	9	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	10	62

Accuracy

83.5%

Counts

62 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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))))))))
	34.0%	(/.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)))))
✓	34.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	31.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
	25.7%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 x x)))
▶	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)))
▶	81.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (.f64 x x)))
▶	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	65.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))

Compiler

Compiled 511 to 300 computations (41.3% saved)

series30.0ms (1%)

Memory

-14.1MiB live, 36.6MiB allocated; 8ms collecting garbage

Counts

37 → 136

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

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

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* (* (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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))))
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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* (* (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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))))
6.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* (* (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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))))

Time

Variable

Point

Expression

14.0ms

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

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

6.0ms

inf

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

rewrite112.0ms (3.6%)

Memory

24.1MiB live, 69.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	529	5713
0	591	4416
0	2962	4328

Stop Event

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

Counts

173 → 287

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

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

eval53.0ms (1.7%)

Memory: -10.5MiB live, 78.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 20 048 to 2 009 computations (90% saved)

prune30.0ms (1%)

Memory

-2.7MiB live, 49.6MiB allocated; 8ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	368	21	389
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	373	26	399

Accuracy

99.8%

Counts

399 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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))))))))
	34.0%	(/.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)))))
✓	34.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) x))
	97.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x))
	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
	36.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64)) #s(approx (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) (.f64 x x)))
	78.1%	#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) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
▶	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 x x)))
▶	36.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (*.f64 x x)))
	81.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	29.3%	#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3/8 binary64))) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) x))) (.f64 x x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))))
	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))))
	65.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
▶	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
	66.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
	66.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)) #s(literal 1/2 binary64)))
	65.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
✓	65.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
	81.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x))))
▶	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	26.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x)))))
	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x)))
▶	98.8%	#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))

Compiler

Compiled 2 087 to 1 238 computations (40.7% saved)

series21.0ms (0.7%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Counts

43 → 133

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

8.0ms

-inf

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

5.0ms

inf

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

5.0ms

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

rewrite141.0ms (4.6%)

Memory

-33.5MiB live, 106.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	5657
0	582	4475
0	2826	4321

Stop Event

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

Counts

176 → 295

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

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

eval49.0ms (1.6%)

Memory: 0.3MiB live, 47.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 21 642 to 1 933 computations (91.1% saved)

prune30.0ms (1%)

Memory

30.6MiB live, 30.6MiB allocated; 0ms collecting garbage

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	308	14	322
Fresh	5	13	18
Picked	2	3	5
Done	0	3	3
Total	315	33	348

Accuracy

99.8%

Counts

348 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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))))))))
▶	34.0%	(/.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)))))
✓	34.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) x))
▶	36.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) x) x))
	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
	78.1%	#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) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x))
✓	36.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (*.f64 x x)))
	34.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (.f64 x x)))
	42.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* 1/8 (sqrt x)) (* (sqrt (* (* x x) x)) 1/2)) (.f64 (.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (.f64 x x)))
	36.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)) (.f64 x x)))
	81.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	29.3%	#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3/8 binary64))) x (.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) x))) (.f64 x x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))))
	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))))
	65.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
✓	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) x)))
	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
	66.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)) #s(literal 1/2 binary64)))
	65.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
✓	65.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
▶	81.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x))))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	26.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x)))))
	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x)))
	98.8%	#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
▶	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
▶	98.8%	#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))))
	36.6%	#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (.f64 (*.f64 x x) x)))))

Compiler

Compiled 3 038 to 1 753 computations (42.3% saved)

series29.0ms (0.9%)

Memory

-14.6MiB live, 32.2MiB allocated; 2ms collecting garbage

Counts

45 → 196

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

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

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+ (/ (/ (/ 3/8 (sqrt x)) (neg x)) x) (/ (/ 1/2 (sqrt x)) x)) (/ (/ (/ 3/8 (sqrt x)) (neg x)) x) (/ (/ 3/8 (sqrt x)) (neg x)) (/ 3/8 (sqrt x)) 3/8 (sqrt x) x (neg x) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) 1 (* x x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) x) x) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) x) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/ (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (* x x)) (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (sqrt (* (* x x) x)) (* (* x x) x) (* 1/8 (sqrt x)) 1/8 (* 1/2 (sqrt x)))
9.0ms	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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+ (/ (/ (/ 3/8 (sqrt x)) (neg x)) x) (/ (/ 1/2 (sqrt x)) x)) (/ (/ (/ 3/8 (sqrt x)) (neg x)) x) (/ (/ 3/8 (sqrt x)) (neg x)) (/ 3/8 (sqrt x)) 3/8 (sqrt x) x (neg x) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) 1 (* x x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) x) x) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) x) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/ (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (* x x)) (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (sqrt (* (* x x) x)) (* (* x x) x) (* 1/8 (sqrt x)) 1/8 (* 1/2 (sqrt x)))
6.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+ (/ (/ (/ 3/8 (sqrt x)) (neg x)) x) (/ (/ 1/2 (sqrt x)) x)) (/ (/ (/ 3/8 (sqrt x)) (neg x)) x) (/ (/ 3/8 (sqrt x)) (neg x)) (/ 3/8 (sqrt x)) 3/8 (sqrt x) x (neg x) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) 1 (* x x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) x) x) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) x) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/ (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (* x x)) (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (sqrt (* (* x x) x)) (* (* x x) x) (* 1/8 (sqrt x)) 1/8 (* 1/2 (sqrt x)))

Time

Variable

Point

Expression

9.0ms

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

9.0ms

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

6.0ms

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

rewrite168.0ms (5.5%)

Memory

8.1MiB live, 152.3MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	8010
0	863	6119
0	4688	5800

Stop Event

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

Counts

241 → 380

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

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

eval61.0ms (2%)

Memory: -23.5MiB live, 67.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 24 634 to 2 443 computations (90.1% saved)

prune28.0ms (0.9%)

Memory

34.0MiB live, 34.0MiB allocated; 0ms collecting garbage

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	392	13	405
Fresh	15	7	22
Picked	4	1	5
Done	1	5	6
Total	412	26	438

Accuracy

100.0%

Counts

438 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	34.0%	(/.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))))
	34.0%	(/.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 #s(approx (+ x 1) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
	34.0%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
	99.0%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	98.8%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	97.3%	(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	34.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	81.7%	#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
	98.8%	#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
	82.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x))
	81.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) x)))
	66.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)) #s(literal 1/2 binary64)))
	65.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
✓	65.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	82.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (sqrt.f64 x) (neg.f64 x))) x (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))))
✓	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
	98.8%	#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))))
	98.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)))))
	36.6%	#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (.f64 (*.f64 x x) x)))))

Compiler

Compiled 3 714 to 996 computations (73.2% saved)

regimes30.0ms (1%)

Memory

-2.6MiB live, 43.3MiB allocated; 3ms collecting garbage

Counts

58 → 1

Calls

Call 1

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

Outputs

(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) 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:

16.0ms	x
10.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes26.0ms (0.8%)

Memory

2.2MiB live, 53.4MiB allocated; 7ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

Calls

2 calls:

12.0ms	(-.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
98.8%	1	`x`
98.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.6%)

Memory

-15.4MiB live, 29.4MiB allocated; 5ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

8.0ms	(-.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
98.8%	1	`x`
98.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.7%)

Memory

-11.8MiB live, 33.9MiB allocated; 4ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(-.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
97.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.8%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.6%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

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
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)

regimes21.0ms (0.7%)

Memory

-16.4MiB live, 29.4MiB allocated; 6ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	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
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)

regimes13.0ms (0.4%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

8.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
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)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 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
5.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
5.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

derivations108.0ms (3.5%)

Memory

-27.3MiB live, 121.9MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 366 to 96 computations (73.8% saved)

preprocess90.0ms (2.9%)

Memory: 18.4MiB live, 160.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 802 to 240 computations (70.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.6s (51.8%)

explain209.0ms (6.8%)

preprocess64.0ms (2.1%)

series12.0ms (0.4%)

rewrite87.0ms (2.8%)

eval7.0ms (0.2%)

prune7.0ms (0.2%)

series30.0ms (1%)

rewrite112.0ms (3.6%)

eval53.0ms (1.7%)

prune30.0ms (1%)

series21.0ms (0.7%)

rewrite141.0ms (4.6%)

eval49.0ms (1.6%)

prune30.0ms (1%)

series29.0ms (0.9%)

rewrite168.0ms (5.5%)

eval61.0ms (2%)

prune28.0ms (0.9%)

regimes30.0ms (1%)

regimes26.0ms (0.8%)

regimes17.0ms (0.6%)

regimes23.0ms (0.7%)

regimes17.0ms (0.6%)

regimes21.0ms (0.7%)

regimes13.0ms (0.4%)

regimes3.0ms (0.1%)

derivations108.0ms (3.5%)

preprocess90.0ms (2.9%)

end0.0ms (0%)

Profiling