Metrics for Main:bigenough3 from C

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
80%	50%	12.5%	0%	0%	37.5%	0%	4
88.9%	50%	6.2%	0%	0%	43.7%	0%	5
94.1%	50%	3.1%	0%	0%	46.9%	0%	6
97%	50%	1.6%	0%	0%	48.4%	0%	7
98.5%	50%	0.8%	0%	0%	49.2%	0%	8
99.2%	50%	0.4%	0%	0%	49.6%	0%	9
99.6%	50%	0.2%	0%	0%	49.8%	0%	10
99.8%	50%	0.1%	0%	0%	49.9%	0%	11
99.9%	50%	0%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample997.0ms (47.9%)

Memory

-20.0MiB live, 1 286.3MiB allocated; 352ms collecting garbage

Samples

397.0ms	4 004×	1	valid
342.0ms	4 252×	0	valid
0.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 410.0ms

ival-sqrt: 264.0ms (64.4% of total)

adjust: 83.0ms (20.3% of total)

ival-add!: 36.0ms (8.8% of total)

ival-sub!: 27.0ms (6.6% of total)

Bogosity

explain120.0ms (5.8%)

Memory

-10.7MiB live, 221.0MiB allocated; 57ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
126	1	(59.102963042329506)	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(sqrt.f64 x)`
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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`	cancellation	127	0

Confusion

	Predicted +	Predicted -
+	126	0
-	1	129

Precision

0.9921259842519685

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	1	0	129

Precision?

0.9921259842519685

Recall?

1.0

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms	248×	1	valid
11.0ms	264×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add!: 22.0ms (55.4% of total)

ival-sqrt: 11.0ms (27.7% of total)

adjust: 5.0ms (12.6% of total)

ival-sub!: 2.0ms (5% of total)

preprocess72.0ms (3.4%)

Memory

-3.6MiB live, 43.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2630	24
7	5397	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.3%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

6 → 31

Calls

Call 1

Inputs
(-.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)

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

Calls

3 calls:

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

rewrite59.0ms (2.8%)

Memory

29.7MiB live, 75.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	679
0	154	575
0	830	543

Stop Event

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

Counts

37 → 63

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) x)
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -4 binary64))
(pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1 binary64))
(cosh.f64 #s(literal 0 binary64))
(sqrt.f64 #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
(exp.f64 #s(literal 0 binary64))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))

eval30.0ms (1.4%)

Memory: -31.1MiB live, 23.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 910 to 267 computations (70.7% saved)

prune14.0ms (0.7%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	49	11	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	12	61

Accuracy

99.9%

Counts

61 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.5%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
▶	54.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	54.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	54.0%	(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 x))
▶	3.5%	(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
	50.1%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
	51.7%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶	49.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	51.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
	49.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
	49.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶	51.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))

Compiler

Compiled 423 to 294 computations (30.5% saved)

series24.0ms (1.1%)

Memory

-16.4MiB live, 32.0MiB allocated; 5ms collecting garbage

Counts

26 → 91

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (* (sqrt x) (sqrt x)) (sqrt x) (+ (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1)
6.0ms	x	@	inf	((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (* (sqrt x) (sqrt x)) (sqrt x) (+ (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1)
4.0ms	x	@	0	((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (* (sqrt x) (sqrt x)) (sqrt x) (+ (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1)

Time

Variable

Point

Expression

10.0ms

-inf

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

6.0ms

inf

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

4.0ms

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

rewrite82.0ms (3.9%)

Memory

5.4MiB live, 98.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	2414
0	381	1802
0	1862	1718

Stop Event

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

Counts

117 → 250

Calls

Call 1

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

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

eval46.0ms (2.2%)

Memory: -0.7MiB live, 95.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 9 408 to 1 533 computations (83.7% saved)

prune14.0ms (0.7%)

Memory

-14.4MiB live, 33.1MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	400	6	406
Fresh	1	5	6
Picked	4	1	5
Done	0	1	1
Total	405	13	418

Accuracy

100.0%

Counts

418 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.5%	(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
	54.4%	(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 (hypot.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))
▶	99.8%	(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	54.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
	50.1%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
▶	51.7%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	49.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	50.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
▶	51.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
▶	49.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶	51.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	3.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
	51.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))

Compiler

Compiled 488 to 326 computations (33.2% saved)

series13.0ms (0.6%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Counts

28 → 117

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) x (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/ 1 (sqrt x)) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16)
3.0ms	x	@	0	((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) x (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/ 1 (sqrt x)) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16)
3.0ms	x	@	inf	((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) x (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/ 1 (sqrt x)) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16)

Time

Variable

Point

Expression

5.0ms

-inf

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

3.0ms

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

3.0ms

inf

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

rewrite87.0ms (4.2%)

Memory

2.6MiB live, 146.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	3453
0	467	2655
0	2315	2540

Stop Event

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

Counts

145 → 264

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -4 binary64))
(pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1 binary64))
(cosh.f64 #s(literal 0 binary64))
(sqrt.f64 #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
(exp.f64 #s(literal 0 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(hypot.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(hypot.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(hypot.f64 #s(literal -1 binary64) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 #s(literal -1 binary64) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) #s(literal -1 binary64))
(hypot.f64 (sqrt.f64 x) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(hypot.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) x)
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x x))
x
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x) (+.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (+.f64 x (*.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))))
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#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (sqrt (pow x -3)) (pow.f64 x #s(literal -3/2 binary64)))
#s(approx (pow x -3) (pow.f64 x #s(literal -3 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))))) x))) x))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 #s(literal 0 binary64) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (* 1/2 (sqrt x)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (pow x -3)) (neg.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))))

eval45.0ms (2.2%)

Memory: 3.0MiB live, 95.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 10 605 to 1 541 computations (85.5% saved)

prune17.0ms (0.8%)

Memory

-14.2MiB live, 36.2MiB allocated; 5ms collecting garbage

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	379	6	385
Fresh	2	4	6
Picked	2	3	5
Done	0	2	2
Total	383	15	398

Accuracy

100.0%

Counts

398 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.8%	(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))))
✓	99.8%	(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
▶	53.0%	(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))))
✓	54.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	50.1%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	51.7%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶	3.2%	(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
✓	49.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	50.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
	49.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))))
	51.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
	51.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
✓	51.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	3.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
▶	51.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))

Compiler

Compiled 547 to 375 computations (31.4% saved)

series28.0ms (1.4%)

Memory

5.1MiB live, 51.8MiB allocated; 3ms collecting garbage

Counts

34 → 175

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ x 1)) 3) (sqrt (+ x 1)) (+ x 1) x 3 (pow (sqrt x) 3) (sqrt x) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (- x (* (sqrt (+ x 1)) (sqrt x))) (* (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) -1/8 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (+ (+ (* 1/2 x) (sqrt x)) 1) (+ (* 1/2 x) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (pow x -1)) 1/2) (sqrt (pow x -1)) (pow x -1) -1)
9.0ms	x	@	inf	((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ x 1)) 3) (sqrt (+ x 1)) (+ x 1) x 3 (pow (sqrt x) 3) (sqrt x) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (- x (* (sqrt (+ x 1)) (sqrt x))) (* (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) -1/8 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (+ (+ (* 1/2 x) (sqrt x)) 1) (+ (* 1/2 x) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (pow x -1)) 1/2) (sqrt (pow x -1)) (pow x -1) -1)
5.0ms	x	@	0	((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ x 1)) 3) (sqrt (+ x 1)) (+ x 1) x 3 (pow (sqrt x) 3) (sqrt x) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (- x (* (sqrt (+ x 1)) (sqrt x))) (* (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) -1/8 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (+ (+ (* 1/2 x) (sqrt x)) 1) (+ (* 1/2 x) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (pow x -1)) 1/2) (sqrt (pow x -1)) (pow x -1) -1)

Time

Variable

Point

Expression

10.0ms

-inf

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

9.0ms

inf

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

5.0ms

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

rewrite208.0ms (10%)

Memory

-11.8MiB live, 268.2MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	888	7096
0	927	4457
1	5774	4457
0	9019	4292

Stop Event

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

Counts

209 → 404

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(approx (- ( (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -4 binary64))
(pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal -2 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 4 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 4 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1 binary64))
(fma.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal 1 binary64)) (*.f64 (sinh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(fma.f64 (cosh.f64 #s(literal 1 binary64)) (cosh.f64 #s(literal -1 binary64)) (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal -4 binary64) (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 3/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(sqrt.f64 #s(literal 1 binary64))
(-.f64 (.f64 (cosh.f64 #s(literal 1 binary64)) (cosh.f64 #s(literal 1 binary64))) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
(exp.f64 #s(literal 0 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 4 binary64))))
(+.f64 (.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal 1 binary64))) (.f64 (sinh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(+.f64 (.f64 (cosh.f64 #s(literal 1 binary64)) (cosh.f64 #s(literal -1 binary64))) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 x (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 3 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (fabs.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (sqrt.f64 x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(/.f64 #s(literal 6 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 4 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 2 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 3 binary64)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(/.f64 x (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 x #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 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 x (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))))) (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 x (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 x (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(fma.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(+.f64 x (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ ( 1/2 x) 1) (.f64 #s(literal 1/2 binary64) x))) #s(approx (sqrt (+ x 1)) #s(approx (+ ( 1/2 x) 1) (.f64 #s(literal 1/2 binary64) x)))) x) (+.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ ( 1/2 x) 1) (.f64 #s(literal 1/2 binary64) x))) #s(approx (sqrt (+ x 1)) #s(approx (+ ( 1/2 x) 1) (.f64 #s(literal 1/2 binary64) x))) (+.f64 x (.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) x) (+.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x)))
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#s(literal -1/8 binary64)
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(fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x))
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(+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
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(/.f64 #s(literal 1 binary64) x)
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(pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -6 binary64))
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#s(literal -1 binary64)
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) #s(literal 1 binary64))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (fma.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (fma.f64 (+.f64 (fma.f64 #s(literal 3/8 binary64) x (sqrt.f64 x)) #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x (sqrt.f64 x)) #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ x 1)) 3) #s(literal 1 binary64))
#s(approx (pow (sqrt (+ x 1)) 3) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ x 1)) 3) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ x 1)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (pow (sqrt x) 3) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal 2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) x #s(literal 2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (neg.f64 (sqrt.f64 x)))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (-.f64 x (sqrt.f64 x)))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) (sqrt.f64 x)))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x) (sqrt.f64 x)))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (sqrt.f64 x))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 x x) (sqrt.f64 x)))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (.f64 x x) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (.f64 x x) (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/8 x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64))) x (.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/16 binary64)))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64)))) x (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (* 1/2 x) (sqrt x)) (sqrt.f64 x))
#s(approx (+ (* 1/2 x) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)))
#s(approx (* (sqrt (pow x -1)) 1/2) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (pow x -1)) (pow.f64 x #s(literal -1/2 binary64)))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/32 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (.f64 #s(literal 3/8 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))))) x))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))) x))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))) x))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/4 binary64))))) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))) x))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)) (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (pow (sqrt (+ x 1)) 3) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) (.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)) (.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) x)
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/16 binary64))) x))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) #s(literal -1/2 binary64))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (-.f64 (-.f64 (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) x)
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/16 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))))) x))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) x))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) x))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))))) x))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ (* 1/2 x) (sqrt x)) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) (.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) (fma.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))))) x) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) (.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)))))) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 #s(literal 0 binary64) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (/.f64 (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (neg.f64 (.f64 (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))) x)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3/2 binary64)) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) x) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))) x)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3/2 binary64)) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal -1/16 binary64))))) x))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) x) #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))) x)))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) (*.f64 x x)))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) (*.f64 x x)))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))) (*.f64 x x)))
#s(approx (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -9/4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)))) (.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
#s(approx (pow (sqrt (+ x 1)) 3) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -9/4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (.f64 x x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) x)))
#s(approx (pow (sqrt x) 3) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (*.f64 x #s(literal 1 binary64)))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) x))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64))) x)) #s(literal 1 binary64)) x)))
#s(approx (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1 binary64))) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (*.f64 #s(literal 0 binary64) x))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) x)))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) x)))
#s(approx (- x (* (sqrt (+ x 1)) (sqrt x))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x #s(literal 1 binary64))) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 0 binary64)) x)))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (neg.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (* (sqrt (+ x 1)) (sqrt x)) (neg.f64 (.f64 (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (+ (* -1/8 x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))))) x))) x))))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) x)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) x)))
#s(approx (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x))))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))))) x)))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (neg.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ (* 1/2 x) (sqrt x)) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (* (sqrt (pow x -1)) 1/2) (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (pow x -1)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))

eval85.0ms (4.1%)

Memory: 27.1MiB live, 174.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 30 529 to 3 286 computations (89.2% saved)

prune20.0ms (1%)

Memory

3.1MiB live, 49.9MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	716	4	720
Fresh	3	2	5
Picked	2	3	5
Done	0	5	5
Total	721	14	735

Accuracy

100.0%

Counts

735 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.7%	(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
✓	99.8%	(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	53.0%	(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))))
✓	54.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	50.1%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	51.7%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	3.2%	(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
✓	49.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	50.3%	#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
	3.5%	#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
	51.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
	51.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
✓	51.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	51.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 026 to 389 computations (62.1% saved)

regimes17.0ms (0.8%)

Memory

-22.2MiB live, 29.8MiB allocated; 3ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (+ x 1) (- x (* (sqrt (+ x 1)) (sqrt x)))))) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 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 (+.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 (hypot.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))

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

Calls

2 calls:

9.0ms	x
5.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.4%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.2%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.4%)

Memory

-32.3MiB live, 14.9MiB allocated; 1ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	2	`x`
97.8%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.3%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.7%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.5%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.5%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
51.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.2%)

Memory

-40.8MiB live, 6.6MiB allocated; 1ms collecting garbage

Accuracy

Total -30.8b remaining (-95.7%)

Threshold costs -30.8b (-95.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.8%	1	`x`
49.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6979527067160234e-5	0.0004972758507619801

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06476492986641436	0.6268837654031101

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch9.0ms (0.4%)

Memory

20.8MiB live, 20.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.2344052343966892	59.102963042329506

Samples

4.0ms

112×

valid

Compiler

Compiled 199 to 178 computations (10.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (50.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch3.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.2344052343966892	59.102963042329506

Samples

1.0ms

32×

valid

Compiler

Compiled 178 to 164 computations (7.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

adjust: 0.0ms (0% of total)

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

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

derivations2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 175 to 49 computations (72% saved)

preprocess50.0ms (2.4%)

Memory: -26.8MiB live, 109.4MiB allocated; 25ms collecting garbage
Compiler: Compiled 382 to 124 computations (67.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample997.0ms (47.9%)

explain120.0ms (5.8%)

preprocess72.0ms (3.4%)

series5.0ms (0.3%)

rewrite59.0ms (2.8%)

eval30.0ms (1.4%)

prune14.0ms (0.7%)

series24.0ms (1.1%)

rewrite82.0ms (3.9%)

eval46.0ms (2.2%)

prune14.0ms (0.7%)

series13.0ms (0.6%)

rewrite87.0ms (4.2%)

eval45.0ms (2.2%)

prune17.0ms (0.8%)

series28.0ms (1.4%)

rewrite208.0ms (10%)

eval85.0ms (4.1%)

prune20.0ms (1%)

regimes17.0ms (0.8%)

regimes8.0ms (0.4%)

regimes7.0ms (0.4%)

regimes5.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.4%)

bsearch3.0ms (0.2%)

derivations2.0ms (0.1%)

preprocess50.0ms (2.4%)

end0.0ms (0%)

Profiling