Metrics for Main:bigenough3 from C

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.0s (49.8%)

Memory

-9.5MiB live, 1 211.7MiB allocated; 228ms collecting garbage

Samples

494.0ms	4 028×	1	valid
266.0ms	4 228×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 460.0ms

ival-sqrt: 190.0ms (41.3% of total)

adjust: 119.0ms (25.9% of total)

ival-add!: 95.0ms (20.6% of total)

ival-sub!: 56.0ms (12.2% of total)

Bogosity

preprocess73.0ms (3.5%)

Memory

-16.3MiB live, 39.6MiB allocated; 6ms 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	2820	24
7	6223	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.3%)

Memory

12.9MiB live, 12.9MiB 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
3.0ms	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))

rewrite65.0ms (3.1%)

Memory

21.6MiB live, 68.1MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	679
0	156	575
0	846	543

Stop Event

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

Counts

37 → 46

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

eval5.0ms (0.2%)

Memory: 12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 419 to 194 computations (53.7% saved)

prune21.0ms (1%)

Memory

-26.3MiB live, 21.1MiB allocated; 1ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	35	8	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	9	44

Accuracy

100.0%

Counts

44 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(/.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)))))
✓	57.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
	3.5%	(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
	56.4%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶	54.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	44.9%	#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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
	46.9%	#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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
▶	45.2%	#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))
▶	48.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))

Compiler

Compiled 254 to 230 computations (9.4% saved)

series31.0ms (1.5%)

Memory

10.5MiB live, 55.6MiB allocated; 4ms collecting garbage

Counts

38 → 180

Calls

Call 1

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

Outputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 1))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 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 (pow (sqrt x) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (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 (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 (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 (/ (+ (* (/ 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 (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 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 (+ 1 x)) 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 (+ 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 (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (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 (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 (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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 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)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (- (pow (sqrt (+ 1 x)) 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 (+ 1 x)) 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 (+ 1 x)) 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 (+ 1 x)) 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 (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 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 (+ 1 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)))))))
#s(approx (pow (sqrt (+ 1 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)))))))
#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 (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 (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (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 (+ 1 x)) (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 (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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 1 x 3 (pow (sqrt x) 3) (sqrt x) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16)
9.0ms	x	@	inf	((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 1 x 3 (pow (sqrt x) 3) (sqrt x) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16)
6.0ms	x	@	0	((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 1 x 3 (pow (sqrt x) 3) (sqrt x) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16)

Time

Variable

Point

Expression

11.0ms

-inf

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

9.0ms

inf

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

6.0ms

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

rewrite182.0ms (8.8%)

Memory

7.4MiB live, 147.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	785	6956
0	851	4875
0	4727	4685

Stop Event

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

Counts

218 → 331

Calls

Call 1

Inputs
(/.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 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
(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))))
(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))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#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)
#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)))
#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 -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #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 -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #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 -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal 1/16 binary64)
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 1))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 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 (pow (sqrt x) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (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 (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 (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 (/ (+ (* (/ 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 (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 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 (+ 1 x)) 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 (+ 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 (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (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 (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 (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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 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)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (- (pow (sqrt (+ 1 x)) 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 (+ 1 x)) 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 (+ 1 x)) 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 (+ 1 x)) 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 (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 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 (+ 1 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)))))))
#s(approx (pow (sqrt (+ 1 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)))))))
#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 (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 (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (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 (+ 1 x)) (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 (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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))

Outputs
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 x) x))) (neg.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (.f64 (sqrt.f64 x) x) (+.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 (+.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 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 x x) x)) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (fma.f64 (.f64 x x) x (.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 x) x)))))
(-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 x) x))
(*.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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (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 (*.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 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(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)
#s(literal 1 binary64)
x
#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 (.f64 (.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (.f64 (.f64 x x) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) x) (+.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) x))) (-.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) x) (+.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) x)))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x))
(fma.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 (+.f64 x #s(literal 1 binary64)) x)) x))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) (+.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.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 (fma.f64 (.f64 x x) x (pow.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.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))))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.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 (+.f64 x #s(literal 1 binary64)) x)) x)
(+.f64 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))))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (sqrt.f64 x) x)) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (+.f64 x (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (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))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #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 (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
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#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 (* (/ 1 (sqrt x)) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) x)))
#s(approx (sqrt (pow x -5)) (pow.f64 x #s(literal -5/2 binary64)))
#s(approx (pow x -5) (pow.f64 x #s(literal -5 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (/ 1 (* (* x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ 1 (* (* x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (.f64 x x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (-.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (.f64 (.f64 x x) x)) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (fma.f64 #s(literal 1/96 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x))) (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (sqrt.f64 x)))) (.f64 (.f64 x x) x)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (.f64 x x))))))))) x))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 #s(literal -9/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (sqrt.f64 x) x))
#s(approx (pow (sqrt (+ 1 x)) 3) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 x #s(literal -5/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 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 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 x #s(literal -5/2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 3/2 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (+.f64 x x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) x)
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (sqrt (+ 1 x)) (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 (+ 1 x)) (sqrt x)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #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 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#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 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
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#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5/128 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/16 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1 binary64)) #s(literal 5/128 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (/ 1 (* (* x x) x))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))))

eval105.0ms (5.1%)

Memory: -42.8MiB live, 74.4MiB allocated; 61ms collecting garbage
Compiler: Compiled 6 049 to 1 995 computations (67% saved)

prune12.0ms (0.6%)

Memory

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

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	423	7	430
Fresh	2	1	3
Picked	4	1	5
Done	0	1	1
Total	429	10	439

Accuracy

100.0%

Counts

439 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.5%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
✓	57.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
	56.4%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	54.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	45.2%	#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
▶	62.5%	#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
▶	48.3%	#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶	48.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
	48.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶	11.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))))

Compiler

Compiled 418 to 344 computations (17.7% saved)

series21.0ms (1%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

32 → 130

Calls

Call 1

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

Outputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (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 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (sqrt x) 1) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (sqrt (/ 1 x))) 1) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 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 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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7)))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 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)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (- (sqrt x) (/ 1 (pow (sqrt -1) 2))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (/ (- (/ x (pow (sqrt -1) 4)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) 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 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 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 (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (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 (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (sqrt x) x (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (* (sqrt x) x) (* -1/8 (sqrt x)) (* 1/16 (sqrt x)) 1/16 (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x x)) (* x x))
6.0ms	x	@	0	((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (sqrt x) x (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (* (sqrt x) x) (* -1/8 (sqrt x)) (* 1/16 (sqrt x)) 1/16 (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x x)) (* x x))
4.0ms	x	@	inf	((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (sqrt x) x (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (* (sqrt x) x) (* -1/8 (sqrt x)) (* 1/16 (sqrt x)) 1/16 (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x x)) (* x x))

Time

Variable

Point

Expression

7.0ms

-inf

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

6.0ms

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

4.0ms

inf

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

rewrite164.0ms (7.9%)

Memory

-24.1MiB live, 112.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	609	6227
0	657	4507
0	3582	4330

Stop Event

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

Counts

162 → 249

Calls

Call 1

Inputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))
(fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) x)
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))
#s(literal 1/16 binary64)
(*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))
#s(literal -5/128 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 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)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (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 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (sqrt x) 1) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (sqrt (/ 1 x))) 1) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 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 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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7)))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 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)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -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)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (- (sqrt x) (/ 1 (pow (sqrt -1) 2))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (/ (- (/ x (pow (sqrt -1) 4)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) 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 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 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 (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 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 (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (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 (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2)))))

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

eval39.0ms (1.9%)

Memory: 13.9MiB live, 64.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 543 to 1 505 computations (66.9% saved)

prune20.0ms (1%)

Memory

-27.2MiB live, 18.9MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	3	3
Picked	0	5	5
Done	0	2	2
Total	265	10	275

Accuracy

100.0%

Counts

275 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
✓	57.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	56.4%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	54.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓	45.2%	#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
✓	62.5%	#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
✓	48.3%	#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓	48.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶	48.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	11.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))))

Compiler

Compiled 216 to 179 computations (17.1% saved)

series7.0ms (0.4%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

16 → 65

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (sqrt x) (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (+ x 1) x) (+ x 1) (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)))
2.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (sqrt x) (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (+ x 1) x) (+ x 1) (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)))
2.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (sqrt x) (/ (- (+ x 1) x) (+ (sqrt (+ x 1)) (sqrt x))) (- (+ x 1) x) (+ x 1) (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite81.0ms (3.9%)

Memory

13.9MiB live, 106.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	1754
0	313	1500
0	1686	1433

Stop Event

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

Counts

81 → 111

Calls

Call 1

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

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

eval19.0ms (0.9%)

Memory: -21.6MiB live, 32.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 242 to 483 computations (61.1% saved)

prune7.0ms (0.4%)

Memory

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

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	0	0
Picked	1	2	3
Done	1	6	7
Total	117	9	126

Accuracy

100.0%

Counts

126 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 #s(approx (- (+ x 1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
✓	57.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	56.4%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	54.8%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓	62.5%	#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
✓	48.3%	#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓	48.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
✓	48.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	11.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))))

Compiler

Compiled 437 to 280 computations (35.9% saved)

regimes9.0ms (0.4%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(-.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 7 to 7 computations (0% saved)

regimes7.0ms (0.4%)

Memory

-33.6MiB live, 13.2MiB allocated; 3ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs
(-.f64 (sqrt.f64 (+.f64 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)))

Calls

2 calls:

5.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.8%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.8%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 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
98.6%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.6%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 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
98.6%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.6%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
54.8%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch20.0ms (1%)

Memory

-14.3MiB live, 32.7MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	32110.647958500667	149324628858622.5

Samples

12.0ms

160×

valid

Compiler

Compiled 190 to 210 computations (-10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sqrt: 4.0ms (46.5% of total)

adjust: 3.0ms (34.8% of total)

ival-sub!: 1.0ms (11.6% of total)

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

bsearch12.0ms (0.6%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.29434800179686027	32110.647958500667

Samples

5.0ms

144×

valid

Compiler

Compiled 379 to 316 computations (16.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sqrt: 2.0ms (75.4% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch4.0ms (0.2%)

Memory

-43.2MiB live, 3.5MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.29434800179686027	32110.647958500667

Compiler

Compiled 523 to 379 computations (27.5% saved)

bsearch7.0ms (0.3%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.29434800179686027	32110.647958500667

Samples

3.0ms

80×

valid

Compiler

Compiled 334 to 271 computations (18.9% saved)

Precisions

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

ival-sqrt: 1.0ms (68.8% of total)

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

adjust: 0.0ms (0% of total)

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

derivations63.0ms (3.1%)

Memory

-10.4MiB live, 88.1MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 90 to 48 computations (46.7% saved)

preprocess43.0ms (2.1%)

Memory: 27.0MiB live, 120.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 96 to 54 computations (43.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample1.0s (49.8%)

preprocess73.0ms (3.5%)

series5.0ms (0.3%)

rewrite65.0ms (3.1%)

eval5.0ms (0.2%)

prune21.0ms (1%)

series31.0ms (1.5%)

rewrite182.0ms (8.8%)

eval105.0ms (5.1%)

prune12.0ms (0.6%)

series21.0ms (1%)

rewrite164.0ms (7.9%)

eval39.0ms (1.9%)

prune20.0ms (1%)

series7.0ms (0.4%)

rewrite81.0ms (3.9%)

eval19.0ms (0.9%)

prune7.0ms (0.4%)

regimes9.0ms (0.4%)

regimes7.0ms (0.4%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch20.0ms (1%)

bsearch12.0ms (0.6%)

bsearch4.0ms (0.2%)

bsearch7.0ms (0.3%)

derivations63.0ms (3.1%)

preprocess43.0ms (2.1%)

end0.0ms (0%)

Profiling