Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample2.0s (27.7%)

Memory

60.8MiB live, 2 155.3MiB allocated; 424ms collecting garbage

Samples

1.2s	6 368×	1	valid
491.0ms	1 733×	2	valid
8.0ms	155×	0	valid

Precisions

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

ival-div: 441.0ms (34.9% of total)

ival-sqrt: 333.0ms (26.4% of total)

adjust: 260.0ms (20.6% of total)

ival-sub: 118.0ms (9.3% of total)

ival-add: 100.0ms (7.9% of total)

exact: 7.0ms (0.6% of total)

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

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

const: 0.0ms (0% of total)

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

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

Bogosity

explain161.0ms (2.2%)

Memory

21.2MiB live, 129.0MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
179	-	1	(9.79742106908004)	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(sqrt.f64 x)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 x))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`	cancellation	178	0

Confusion

	Predicted +	Predicted -
+	178	0
-	0	78

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	178	0	0
-	0	0	78

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	78
1	178

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	384×	1	valid
24.0ms	116×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sqrt: 16.0ms (26.7% of total)

adjust: 15.0ms (25.1% of total)

ival-div: 14.0ms (23.4% of total)

ival-add: 8.0ms (13.4% of total)

ival-sub: 5.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess250.0ms (3.4%)

Memory

7.2MiB live, 195.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	20	38
2	23	38
3	45	38
4	134	38
5	1084	35
6	5717	35
0	8	11
0	14	11
1	17	11
2	20	11
3	35	11
4	92	11
5	548	11
6	5514	11
0	8019	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify230.0ms (3.1%)

Memory

-67.0MiB live, 112.6MiB allocated; 88ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	14	32
1	17	32
2	20	32
3	35	32
4	92	32
5	548	32
6	5514	32
0	8019	32

Stop Event

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

Calls

Call 1

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

localize53.0ms (0.7%)

Memory

14.7MiB live, 63.9MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	40.1101810605859	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Samples

27.0ms	192×	1	valid
16.0ms	58×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 11.0ms (33.9% of total)

adjust: 8.0ms (24.7% of total)

ival-sqrt: 8.0ms (24.7% of total)

ival-add: 3.0ms (9.2% of total)

ival-sub: 2.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

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

Counts

4 → 27

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))))
2.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))))
1.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify172.0ms (2.3%)

Memory

-7.4MiB live, 136.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	704
1	366	642
2	1346	615
0	7472	590

Stop Event

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

Counts

27 → 27

Calls

Call 1

Inputs
#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 (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (- (/ 1 (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 (- (/ 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))))))

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

rewrite93.0ms (1.3%)

Memory

14.8MiB live, 61.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	14	23
1	59	19
0	456	19

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 42

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

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

eval14.0ms (0.2%)

Memory: -29.0MiB live, 14.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 344 to 260 computations (80.7% saved)

prune10.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	55	13	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	14	69

Accuracy

81.5%

Counts

69 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.4%	(/.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))))
▶	37.3%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	37.4%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))))
	37.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	30.4%	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	37.4%	(-.f64 (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))))
✓	37.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	27.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	30.8%	(-.f64 #s(approx (/ 1 (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	79.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x)))
▶	80.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))
▶	79.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
▶	61.3%	#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)))
▶	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 653 to 416 computations (36.3% saved)

simplify145.0ms (2%)

Memory

18.2MiB live, 116.4MiB allocated; 13ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
cost-diff	0	(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	#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)))
cost-diff	0	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))
cost-diff	0	(.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	465
0	86	465
1	127	465
2	270	465
3	884	465
4	3509	465
0	9160	465

Stop Event

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

Calls

Call 1

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

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

localize349.0ms (4.7%)

Memory

1.2MiB live, 387.0MiB allocated; 38ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.4131050293053261	(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))
accuracy	0.4248237793053261	(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
accuracy	11.023660336448337	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
accuracy	28.656447482368925	(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))
accuracy	0.00390625	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
accuracy	0.8663235025555631	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	1.5487721093869249	#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)))
accuracy	22.031360395213046	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.015625	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy	0.10546875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	1.4791315098980824	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
accuracy	11.831981947011421	(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.10546875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	60.423403436259434	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	11.812990097349498	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))
accuracy	15.468518673196744	(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy	18.019800483783275	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
accuracy	22.031360395213046	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))

Samples

161.0ms	192×	1	valid
71.0ms	58×	2	valid
2.0ms	6×	0	valid

Compiler

Compiled 416 to 51 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

adjust: 57.0ms (32.4% of total)

ival-pow: 31.0ms (17.6% of total)

ival-div: 23.0ms (13.1% of total)

ival-sqrt: 21.0ms (11.9% of total)

ival-mult: 18.0ms (10.2% of total)

ival-sub: 14.0ms (7.9% of total)

ival-add: 10.0ms (5.7% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series28.0ms (0.4%)

Memory

-10.1MiB live, 36.2MiB allocated; 4ms collecting garbage

Counts

22 → 125

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) -1/2) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (pow (sqrt x) -2) (sqrt x) (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (pow (sqrt (- x -1)) -2))
6.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) -1/2) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (pow (sqrt x) -2) (sqrt x) (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (pow (sqrt (- x -1)) -2))
5.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) -1/2) (/ (- (sqrt (/ 1 x)) (sqrt x)) (* x x)) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (pow x 3))) 1/2) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (pow (sqrt x) -2) (sqrt x) (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (pow (sqrt (- x -1)) -2))

Time

Variable

Point

Expression

7.0ms

-inf

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

6.0ms

inf

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

5.0ms

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

simplify207.0ms (2.8%)

Memory

-15.7MiB live, 127.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	550	5049
1	1473	4396
2	6030	4370
0	8839	4211

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 125

Calls

Call 1

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

rewrite114.0ms (1.5%)

Memory

27.1MiB live, 73.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	339
0	86	305
1	336	263
0	2646	263

Stop Event

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

Counts

22 → 345

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)) (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (neg.f64 x)))
(.f64 (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 x x)) #s(literal -1/2 binary64))
(.f64 (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) x) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) x))
(.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) x)
(/.f64 (neg.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal 1/2 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x)))
(.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 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))) (-.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 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))) (-.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))))
(.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log1p.f64 x) #s(literal -1/2 binary64) (*.f64 (log1p.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -2 binary64)))

eval104.0ms (1.4%)

Memory: -2.9MiB live, 87.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 25 064 to 2 932 computations (88.3% saved)

prune54.0ms (0.7%)

Memory

-15.4MiB live, 37.6MiB allocated; 8ms collecting garbage

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	612	22	634
Fresh	4	4	8
Picked	4	1	5
Done	1	0	1
Total	621	27	648

Accuracy

99.9%

Counts

648 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	37.4%	(/.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))))
▶	27.2%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	37.4%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))))
	37.5%	(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3/2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))))
	8.6%	(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
	5.2%	(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
	37.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	27.1%	(/.f64 (-.f64 #s(approx (pow (sqrt x) -2) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	81.1%	(/.f64 #s(approx (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	80.1%	(/.f64 #s(approx (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	37.3%	(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
	30.8%	(-.f64 #s(approx (/ 1 (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	97.3%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
	79.3%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
	34.1%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	79.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
	79.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) x)) (.f64 x x)))
	79.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
▶	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	97.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
	63.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
✓	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	17.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 5 binary64)))))
▶	98.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
	98.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))

Compiler

Compiled 1 914 to 1 228 computations (35.8% saved)

simplify90.0ms (1.2%)

Memory

19.7MiB live, 64.8MiB allocated; 4ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
cost-diff	0	(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
cost-diff	0	(pow.f64 x #s(literal -3/2 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
cost-diff	1	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
cost-diff	3	(*.f64 #s(literal 0 binary64) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff	0	#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
cost-diff	2	(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff	5	(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	489
0	106	476
1	168	470
2	372	458
3	1390	430
0	8543	420

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x)
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(literal 3/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 0 binary64) (sqrt.f64 x))
#s(literal 0 binary64)
(sqrt.f64 x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
x
#s(literal -3/2 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
x
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal -1/2 binary64))

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1/2 binary64))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1/2 binary64))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/4 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/4 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 3/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 0 binary64) (sqrt.f64 x))
#s(literal 0 binary64)
#s(literal 0 binary64)
(sqrt.f64 x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
x
#s(literal -3/2 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt.f64 x)
x
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal -1/2 binary64))

localize377.0ms (5.1%)

Memory

-11.5MiB live, 418.5MiB allocated; 36ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
accuracy	0.4248237793053261	(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
accuracy	11.023660336448337	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
accuracy	28.656447482368925	(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
accuracy	0.00390625	(pow.f64 x #s(literal -3/2 binary64))
accuracy	0.00390625	(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
accuracy	1.5487721093869249	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.10546875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.16015625	(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
accuracy	1.5487721093869249	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	60.423403436259434	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy	0.171875	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
accuracy	0.34375	(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
accuracy	0.9002549751803125	#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
accuracy	1.0053999982431323	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))

Samples

240.0ms	192×	1	valid
78.0ms	58×	2	valid
3.0ms	6×	0	valid

Compiler

Compiled 370 to 67 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

adjust: 79.0ms (30.4% of total)

ival-pow: 48.0ms (18.5% of total)

ival-div: 45.0ms (17.3% of total)

ival-sqrt: 30.0ms (11.6% of total)

ival-mult: 22.0ms (8.5% of total)

ival-sub: 16.0ms (6.2% of total)

ival-add: 16.0ms (6.2% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series28.0ms (0.4%)

Memory

-19.1MiB live, 27.0MiB allocated; 5ms collecting garbage

Counts

21 → 115

Calls

Call 1

Inputs
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 #s(literal 0 binary64) (sqrt.f64 x))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))

Outputs
#s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) #s(hole binary64 (/ (- (* 1/2 (sqrt x)) (sqrt x)) x)))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* 0 (sqrt x)) #s(hole binary64 0))
#s(approx (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (+ 1 (* x (- x 1))) x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)))
#s(approx (pow (sqrt x) -2) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 2))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)) (pow x 2))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 4)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (/ (+ x (sqrt x)) x)))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) x)))
#s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (pow x 2))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (- 1 (/ 1 x)) (pow x 2))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (* 3/4 (sqrt (/ 1 x)))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (* 2 (sqrt (/ 1 x)))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) #s(hole binary64 (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -1 (/ (+ (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (sqrt x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x)) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (sqrt x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x)) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 1 (pow (sqrt -1) 2))) (/ 1 x)) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (- 1 (/ 1 x)) x)) (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (pow (sqrt x) -2) #s(hole binary64 (/ -1 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Calls

3 calls:

Time

Variable

Point

Expression

15.0ms

-inf

((- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (* 0 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (pow x -3/2) 1/2) (pow x -3/2) (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) (- (pow (sqrt x) -2) (/ 1 (- x -1))) (pow (sqrt x) -2) (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (sqrt (/ 1 x)) (+ (pow (- x -1) -1/2) (pow x -1/2)))

6.0ms

inf

((- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (* 0 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (pow x -3/2) 1/2) (pow x -3/2) (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) (- (pow (sqrt x) -2) (/ 1 (- x -1))) (pow (sqrt x) -2) (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (sqrt (/ 1 x)) (+ (pow (- x -1) -1/2) (pow x -1/2)))

3.0ms

((- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (* 0 (sqrt x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (pow x -3/2) 1/2) (pow x -3/2) (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) (- (pow (sqrt x) -2) (/ 1 (- x -1))) (pow (sqrt x) -2) (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (sqrt (/ 1 x)) (+ (pow (- x -1) -1/2) (pow x -1/2)))

simplify226.0ms (3.1%)

Memory

47.8MiB live, 320.2MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	526	4850
1	1410	4235
2	5918	4225
0	8840	4075

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 115

Calls

Call 1

Inputs
#s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) #s(hole binary64 (/ (- (* 1/2 (sqrt x)) (sqrt x)) x)))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* 0 (sqrt x)) #s(hole binary64 0))
#s(approx (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (+ 1 (* x (- x 1))) x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)))
#s(approx (pow (sqrt x) -2) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 2))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)) (pow x 2))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 4)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (/ (+ x (sqrt x)) x)))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) x)))
#s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (pow x 2))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (- 1 (/ 1 x)) (pow x 2))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (* 3/4 (sqrt (/ 1 x)))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 3/4 (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (* 2 (sqrt (/ 1 x)))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) #s(hole binary64 (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -1 (/ (+ (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (sqrt x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x)) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (sqrt x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x)) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 1 (pow (sqrt -1) 2))) (/ 1 x)) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (- 1 (/ 1 x)) x)) (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (pow (sqrt x) -2) #s(hole binary64 (/ -1 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Outputs
#s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) #s(hole binary64 (/ (- (* 1/2 (sqrt x)) (sqrt x)) x)))
#s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3/8 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 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)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))) (/.f64 (-.f64 (sqrt.f64 x) 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)))) (/.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)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) 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 (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
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#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
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#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (+ 1 (* x (- x 1))) x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (sqrt x) -2) #s(hole binary64 (/ 1 x)))
#s(approx (pow (sqrt x) -2) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 2))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x)))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 3/4 (sqrt (pow x 3)))) (sqrt x)) (pow x 2))))
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#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 4))))
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#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
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#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) (/.f64 (+.f64 (sqrt.f64 x) x) x))
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#s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)))))
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#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
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#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) x)) x))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) x)) (neg.f64 x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)) (neg.f64 x))) (neg.f64 x)))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (sqrt x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x)) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))) x))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
#s(approx (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 0 (sqrt x))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -3/2) 1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (pow x -3/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (sqrt x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x)) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (/ 1 (- x -1))) (+ (pow (- x -1) -1/2) (pow x -1/2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))) x))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(literal 0 binary64))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 1 (pow (sqrt -1) 2))) (/ 1 x)) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (- 1 (/ 1 x)) x)) (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (- (pow (sqrt x) -2) (/ 1 (- x -1))) (/.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal -1 binary64)) #s(literal 0 binary64)) x) (neg.f64 x)))
#s(approx (pow (sqrt x) -2) #s(hole binary64 (/ -1 (* x (pow (sqrt -1) 2)))))
#s(approx (pow (sqrt x) -2) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) (*.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) #s(hole binary64 (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) (fma.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (/.f64 (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) x))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (pow (- x -1) -1/2) (pow x -1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))))

rewrite114.0ms (1.5%)

Memory

-7.9MiB live, 138.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	400
0	106	391
1	433	293
0	3486	287

Stop Event

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

Counts

21 → 353

Calls

Call 1

Inputs
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 #s(literal 0 binary64) (sqrt.f64 x))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))

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

eval70.0ms (1%)

Memory: 24.8MiB live, 151.1MiB allocated; 28ms collecting garbage
Compiler: Compiled 19 976 to 1 847 computations (90.8% saved)

prune162.0ms (2.2%)

Memory

7.4MiB live, 85.2MiB allocated; 101ms collecting garbage

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	423	10	433
Fresh	9	12	21
Picked	3	2	5
Done	0	1	1
Total	435	25	460

Accuracy

100.0%

Counts

460 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) x) (.f64 x (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
▶	37.4%	(/.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))))
	27.2%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
	5.8%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	37.5%	(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3/2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))))
	37.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	37.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	81.1%	(/.f64 #s(approx (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	30.8%	(-.f64 #s(approx (/ 1 (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	79.1%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x #s(literal 0 binary64)) (*.f64 x x)))
	97.2%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	79.3%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
▶	97.2%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
▶	34.1%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
▶	79.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
	79.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	97.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
	96.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
✓	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	17.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 5 binary64)))))
	98.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
	98.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
▶	98.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)))

Compiler

Compiled 1 813 to 1 155 computations (36.3% saved)

simplify112.0ms (1.5%)

Memory

13.3MiB live, 100.3MiB allocated; 15ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ ( (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
cost-diff	0	(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
cost-diff	1	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	3	(/.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))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff	5	(*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
cost-diff	0	(/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
cost-diff	0	#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	918
0	135	908
1	216	898
2	474	886
3	1478	883
4	5730	883
0	8787	869

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x))
(/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(literal -3/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal -1/2 binary64)
(-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ ( (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(sqrt.f64 x)
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x x)

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64)))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64)))) x))
(/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
(/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64)))) x)
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64)))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
(.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ ( (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (+ ( (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(sqrt.f64 x)
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x x)

localize420.0ms (5.7%)

Memory

8.7MiB live, 430.5MiB allocated; 88ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.588956025057916	#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy	11.537001195590925	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
accuracy	11.812990097349498	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
accuracy	18.019800483783275	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.25390625	(/.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))))
accuracy	0.328125	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	59.46380396572459	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.10546875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.22722626953688402	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	1.5487721093869249	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	0.10546875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	42.163346292162394	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy	0.8663235025555631	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.9002549751803125	#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x))
accuracy	1.0053999982431323	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)))
accuracy	22.031360395213046	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))

Samples

251.0ms	192×	1	valid
91.0ms	58×	2	valid
3.0ms	6×	0	valid

Compiler

Compiled 580 to 74 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

ival-div: 85.0ms (29.1% of total)

adjust: 75.0ms (25.6% of total)

ival-mult: 37.0ms (12.6% of total)

ival-pow: 32.0ms (10.9% of total)

ival-sub: 22.0ms (7.5% of total)

ival-sqrt: 21.0ms (7.2% of total)

ival-add: 16.0ms (5.5% of total)

exact: 2.0ms (0.7% of total)

ival-neg: 2.0ms (0.7% of total)

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

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

series28.0ms (0.4%)

Memory

-20.6MiB live, 23.9MiB allocated; 6ms collecting garbage

Counts

25 → 151

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x))
(/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) 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))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ ( (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 4)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (* 0 (sqrt (/ 1 x))) #s(hole binary64 0))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (sqrt (/ 1 x)) (/ 1/2 x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (- x -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 (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
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#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ 1 (pow x 3))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (sqrt (/ 1 (pow x 5))) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

14.0ms

-inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (* 0 (sqrt (/ 1 x))) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (* (sqrt (/ 1 x)) (/ 1/2 x)) (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ 1/2 x) (sqrt x) (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt (/ 1 (pow x 5))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))

5.0ms

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (* 0 (sqrt (/ 1 x))) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (* (sqrt (/ 1 x)) (/ 1/2 x)) (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ 1/2 x) (sqrt x) (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt (/ 1 (pow x 5))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))

5.0ms

inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (* 0 (sqrt (/ 1 x))) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (* (sqrt (/ 1 x)) (/ 1/2 x)) (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ 1/2 x) (sqrt x) (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt (/ 1 (pow x 5))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))

simplify154.0ms (2.1%)

Memory

45.9MiB live, 135.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	762	6717
1	2139	5854
0	9113	5596

Stop Event

1×	iter limit
1×	node limit

Counts

151 → 151

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 4)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (* 0 (sqrt (/ 1 x))) #s(hole binary64 0))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (sqrt (/ 1 x)) (/ 1/2 x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (- x -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 (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x)))) (pow x 3))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))))
#s(approx (sqrt (/ 1 (pow x 3))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ 1 (pow x 3)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (/ (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (sqrt (/ 1 (pow x 5))) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/4 (sqrt x)) (sqrt x)))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (pow x 2))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
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#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (sqrt x)))
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#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)))))))))
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#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 7))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (/ (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x)))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (- (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x)))) (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 (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (+ (* -1 (/ (+ (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (sqrt x)) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (sqrt x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x)) (* 1/2 (sqrt x))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
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#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (pow (sqrt -1) 2)))))
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#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 6))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x))))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt -1) 6)))) (+ (* 5/128 (/ 1 (* (pow x 3) (pow (sqrt -1) 8)))) (* 1/2 (/ 1 (pow (sqrt -1) 2))))) (/ -1/8 (* x (pow (sqrt -1) 4)))) x))))
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#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ 1 (pow x 3))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (sqrt (/ 1 (pow x 5))) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))

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)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))) (/.f64 (-.f64 (sqrt.f64 x) 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)))) (/.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)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) 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 (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1/2 binary64)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 4)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3/8 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 4))))
#s(approx (/ (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (* -1/2 (/ (- (* 1/2 (sqrt x)) (sqrt x)) (pow x 3)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* -3/8 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3/8 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* 0 (sqrt (/ 1 x))) #s(hole binary64 0))
#s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (fma.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (fma.f64 (fma.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/8 binary64) x)))) x (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (sqrt (/ 1 x)) (/ 1/2 x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (sqrt (/ 1 x)) (/ 1/2 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (sqrt (- x -1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x))
#s(approx (- (sqrt (- x -1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (- x -1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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#s(approx (- (sqrt (- x -1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
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#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (neg.f64 x))) (neg.f64 x)))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (neg.f64 (sqrt.f64 x)))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1 binary64) (.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1 binary64) (.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ 1 (pow x 3))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 (pow x 3))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)))
#s(approx (sqrt (/ 1 (pow x 5))) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ 1 (pow x 5))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) #s(hole binary64 (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

rewrite719.0ms (9.7%)

Memory

-171.9MiB live, 100.8MiB allocated; 1.0s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	730
0	135	674
1	533	537
0	4155	523

Stop Event

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

Counts

25 → 290

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x))
(/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) 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))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ ( (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64)))) x)))
#s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64)))) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64)))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64))))) (neg.f64 x))
(/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64)))) x)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64))))) x))
(neg.f64 (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64)))) (neg.f64 x)))
#s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64))))
#s(literal 0 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
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(-.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (+.f64 #s(approx (+ ( (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 x)))
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(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
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(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
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(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
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(neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 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)
(exp.f64 (*.f64 (log.f64 x) #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)))
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(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -5/2 binary64))) (pow.f64 x #s(literal -5/2 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (pow.f64 x #s(literal -5/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/2 binary64))))
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(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -5/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))))

eval115.0ms (1.6%)

Memory: 4.6MiB live, 142.8MiB allocated; 20ms collecting garbage
Compiler: Compiled 62 200 to 4 900 computations (92.1% saved)

prune35.0ms (0.5%)

Memory

21.1MiB live, 68.3MiB allocated; 1ms collecting garbage

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	869	9	878
Fresh	9	8	17
Picked	5	0	5
Done	0	3	3
Total	883	20	903

Accuracy

100.0%

Counts

903 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	39.0%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) x) (.f64 x (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	7.0%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))) x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	39.0%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
	37.3%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	37.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	98.3%	(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	98.1%	(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	97.3%	(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	30.8%	(-.f64 #s(approx (/ 1 (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	79.1%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x #s(literal 0 binary64)) (*.f64 x x)))
	97.2%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	96.4%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
	34.1%	#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
	79.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	97.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
✓	5.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	98.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))

Compiler

Compiled 2 334 to 678 computations (71% saved)

regimes28.0ms (0.4%)

Memory

-14.6MiB live, 31.0MiB allocated; 3ms collecting garbage

Counts

55 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
#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 (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x #s(literal 0 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 #s(approx (/ 1 (sqrt x)) (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 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))) x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) x)) (.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#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)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(approx (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) #s(approx (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (-.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (+ (* -1/2 (/ (+ (* 3/4 (sqrt (/ 1 x))) (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) x)) x)) (* 1/2 (sqrt (/ 1 x)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) x) (.f64 x (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(approx (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(approx (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x)))
(/.f64 (-.f64 #s(approx (pow (sqrt x) -2) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3/2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))))

Outputs

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

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

Calls

2 calls:

13.0ms	x
11.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.9%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.9%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
#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 (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x #s(literal 0 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 #s(approx (/ 1 (sqrt x)) (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 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))) x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) x)) (.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

Outputs

(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
#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 (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x #s(literal 0 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 #s(approx (/ 1 (sqrt x)) (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 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))) x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))

Outputs

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

#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.7%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.7%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

Memory

-36.4MiB live, 14.5MiB allocated; 5ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
#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 (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x #s(literal 0 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 #s(approx (/ 1 (sqrt x)) (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 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))) x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

Outputs
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

Calls

2 calls:

7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
6.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
#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 (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x #s(literal 0 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 #s(approx (/ 1 (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
#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 (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x #s(literal 0 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
#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 (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.2%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
#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 (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (- (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (sqrt x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Accuracy

Total -19.1b remaining (-45.3%)

Threshold costs -19.1b (-45.3%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))
#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 (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Outputs
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
34.1%	1	`x`
34.1%	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)

bsearch18.0ms (0.2%)

Memory

-30.9MiB live, 15.5MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
15.0ms	23502813478665.566	8298566754842671.0

Samples

10.0ms

96×

valid

Compiler

Compiled 236 to 168 computations (28.8% saved)

Precisions

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

ival-sqrt: 3.0ms (38.6% of total)

ival-div: 2.0ms (25.7% of total)

adjust: 1.0ms (12.9% of total)

ival-sub: 1.0ms (12.9% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	23502813478665.566	8298566754842671.0

Compiler

Compiled 338 to 234 computations (30.8% saved)

bsearch21.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3576436.537842075	7282777889.482878

Samples

14.0ms

128×

valid

Compiler

Compiled 294 to 236 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (29.5% of total)

ival-sqrt: 3.0ms (29.5% of total)

adjust: 2.0ms (19.7% of total)

ival-add: 1.0ms (9.8% of total)

ival-sub: 1.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify44.0ms (0.6%)

Memory

-22.5MiB live, 23.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	291
1	110	287
2	147	287
3	217	287
4	438	287
5	2588	287

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 6000000000000000 binary64)) (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 6000000000000000 binary64)) (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))) #s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 64000000 binary64)) (-.f64 #s(approx (/ 1 (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))

Outputs
(if (<=.f64 x #s(literal 6000000000000000 binary64)) (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))) #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 6000000000000000 binary64)) (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))) #s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x))) x)))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 64000000 binary64)) (-.f64 #s(approx (/ 1 (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 64000000 binary64)) (-.f64 #s(approx (/ 1 (sqrt x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) (/.f64 (neg.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (pow (sqrt x) -2) (pow (sqrt (- x -1)) -2)) (+ (pow (- x -1) -1/2) (pow x -1/2))) #s(approx (* 0 (sqrt (/ 1 x))) #s(literal 0 binary64)))

derivations406.0ms (5.5%)

Memory

48.6MiB live, 231.6MiB allocated; 29ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 296 to 86 computations (70.9% saved)

preprocess110.0ms (1.5%)

Memory: -56.8MiB live, 50.1MiB allocated; 29ms collecting garbage
Compiler: Compiled 632 to 202 computations (68% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.0s (27.7%)

explain161.0ms (2.2%)

preprocess250.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify230.0ms (3.1%)

localize53.0ms (0.7%)

series6.0ms (0.1%)

simplify172.0ms (2.3%)

rewrite93.0ms (1.3%)

eval14.0ms (0.2%)

prune10.0ms (0.1%)

simplify145.0ms (2%)

localize349.0ms (4.7%)

series28.0ms (0.4%)

simplify207.0ms (2.8%)

rewrite114.0ms (1.5%)

eval104.0ms (1.4%)

prune54.0ms (0.7%)

simplify90.0ms (1.2%)

localize377.0ms (5.1%)

series28.0ms (0.4%)

simplify226.0ms (3.1%)

rewrite114.0ms (1.5%)

eval70.0ms (1%)

prune162.0ms (2.2%)

simplify112.0ms (1.5%)

localize420.0ms (5.7%)

series28.0ms (0.4%)

simplify154.0ms (2.1%)

rewrite719.0ms (9.7%)

eval115.0ms (1.6%)

prune35.0ms (0.5%)

regimes28.0ms (0.4%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch21.0ms (0.3%)

simplify44.0ms (0.6%)

derivations406.0ms (5.5%)

preprocess110.0ms (1.5%)

end0.0ms (0%)

Profiling