Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.5s (37.7%)

Memory

65.2MiB live, 1 834.3MiB allocated; 432ms collecting garbage

Samples

772.0ms	6 179×	1	valid
365.0ms	1 965×	2	valid
5.0ms	112×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 883.0ms

ival-sqrt: 332.0ms (37.6% of total)

adjust: 233.0ms (26.4% of total)

ival-div!: 229.0ms (25.9% of total)

ival-add!: 47.0ms (5.3% of total)

ival-sub!: 42.0ms (4.8% of total)

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

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

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

Bogosity

preprocess121.0ms (3.1%)

Memory

38.4MiB live, 112.2MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	50	32
2	158	32
3	656	32

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 20 to 16 computations (20% saved)

series31.0ms (0.8%)

Memory

-18.3MiB live, 38.3MiB allocated; 35ms collecting garbage

Counts

8 → 40

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (/ 1 (sqrt x)) #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 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 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 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
3.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
1.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

27.0ms

inf

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

3.0ms

-inf

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

1.0ms

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

rewrite239.0ms (6.1%)

Memory

8.7MiB live, 253.2MiB allocated; 166ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	1177
0	212	1079
1	1146	966
0	8170	925

Stop Event

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

Counts

48 → 117

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (/ 1 (sqrt x)) #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 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 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 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Outputs
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
x
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #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 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) (fma.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 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal -1 binary64) x)))) (/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal -1 binary64) x)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (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 (fma.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) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))
#s(approx (/ 1 (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x)))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x))
#s(approx (+ x 1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (neg.f64 (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x))))
#s(approx (/ 1 (sqrt x)) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) (neg.f64 x)))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x)))) (neg.f64 x)))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) (neg.f64 x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x)))

eval21.0ms (0.5%)

Memory: -20.6MiB live, 24.5MiB allocated; 21ms collecting garbage
Compiler: Compiled 1 212 to 494 computations (59.2% saved)

prune28.0ms (0.7%)

Memory

-8.2MiB live, 37.1MiB allocated; 19ms collecting garbage

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	87	25	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	25	113

Accuracy

67.0%

Counts

113 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))))
	23.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	37.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
▶	37.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	35.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))))
	23.8%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
	26.5%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	29.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
	7.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))
	37.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	7.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
	5.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
	22.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
	29.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
▶	7.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))))
	3.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
▶	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	20.9%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	22.8%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	29.6%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	7.8%	(-.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	22.5%	(-.f64 #s(approx (/ 1 (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	31.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	33.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
▶	34.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))

Compiler

Compiled 806 to 672 computations (16.6% saved)

series237.0ms (6%)

Memory

15.7MiB live, 119.8MiB allocated; 34ms collecting garbage

Counts

33 → 127

Calls

Call 1

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

Outputs
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))) (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x)))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/2 (/ 1 (sqrt x))) (* x (+ (* -1 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x)))))) (* x (+ (* -1/16 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/16 (/ 1 (sqrt x))) (+ (* 1/8 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/2 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))))))))))) (/ 1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* -1/2 x) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 -1))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) 1)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)))
#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 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) -1) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (* x (sqrt x))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (* x (sqrt x))) (* 1/8 (sqrt x)))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (/ 1/2 (* (* x x) x)) #s(hole binary64 (/ 1/2 (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 (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1/2 x)))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* x (- (* 1/4 x) 1/2))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* x (- (* x (+ 1/4 (* -1/6 x))) 1/2))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* x (- (* x (+ 1/4 (* x (- (* 1/8 x) 1/6)))) 1/2))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* 1/2 x)))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* x (+ 1/2 (* -1/4 x)))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/6 x) 1/4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/6 (* -1/8 x))) 1/4))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (pow (pow (sqrt x) -1/2) 2) 1)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (pow (pow (sqrt x) -1/2) 2)) 1)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (pow (pow (sqrt x) -1/2) 2)) 1)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (pow (pow (sqrt x) -1/2) 2)) 1)))
#s(approx (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) #s(hole binary64 (pow (pow (sqrt x) -1/2) 2)))
#s(approx (pow (sqrt x) -1/2) #s(hole binary64 (pow (sqrt x) -1/2)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (* -1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (* -1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (* -1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ 1 x))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))) 2)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))) 2) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))) 2)) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))) 2)) (+ (/ 1 (* x (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (pow (sqrt x) -1/2) #s(hole binary64 (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))) 2)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (/ 1 (* x (sqrt (/ 1 x)))) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))) 2))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (- (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (sqrt (/ 1 x)))) x)) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))) 2))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (- (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x))))) x)) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))) 2))))
#s(approx (pow (sqrt x) -1/2) #s(hole binary64 (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))))))

Calls

3 calls:

Time	Variable		Point	Expression
179.0ms	x	@	-inf	((/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* 1 (neg (sqrt (- x -1)))) 1 (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) x -1 (* (sqrt x) -1) (sqrt x) (* (sqrt x) (neg (sqrt (- x -1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) (* (sqrt x) x) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (pow (sqrt x) -1/2) -1/2 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
42.0ms	x	@	0	((/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* 1 (neg (sqrt (- x -1)))) 1 (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) x -1 (* (sqrt x) -1) (sqrt x) (* (sqrt x) (neg (sqrt (- x -1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) (* (sqrt x) x) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (pow (sqrt x) -1/2) -1/2 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
12.0ms	x	@	inf	((/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* 1 (neg (sqrt (- x -1)))) 1 (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) x -1 (* (sqrt x) -1) (sqrt x) (* (sqrt x) (neg (sqrt (- x -1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) (* (sqrt x) x) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (pow (sqrt x) -1/2) -1/2 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

179.0ms

-inf

((/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* 1 (neg (sqrt (- x -1)))) 1 (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) x -1 (* (sqrt x) -1) (sqrt x) (* (sqrt x) (neg (sqrt (- x -1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) (* (sqrt x) x) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (pow (sqrt x) -1/2) -1/2 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

42.0ms

((/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* 1 (neg (sqrt (- x -1)))) 1 (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) x -1 (* (sqrt x) -1) (sqrt x) (* (sqrt x) (neg (sqrt (- x -1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) (* (sqrt x) x) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (pow (sqrt x) -1/2) -1/2 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

12.0ms

inf

((/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* 1 (neg (sqrt (- x -1)))) 1 (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) x -1 (* (sqrt x) -1) (sqrt x) (* (sqrt x) (neg (sqrt (- x -1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) (* (sqrt x) x) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (pow (sqrt x) -1/2) -1/2 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

rewrite202.0ms (5.2%)

Memory

18.2MiB live, 198.5MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	581	4520
0	636	3918
1	3572	3486
0	9609	3362

Stop Event

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

Counts

160 → 364

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (sqrt.f64 x) #s(literal -1 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))
#s(literal 1/2 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
(*.f64 (sqrt.f64 x) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))) (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x)))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/2 (/ 1 (sqrt x))) (* x (+ (* -1 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x)))))) (* x (+ (* -1/16 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/16 (/ 1 (sqrt x))) (+ (* 1/8 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/2 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))))))))))) (/ 1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* -1/2 x) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 -1))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) 1)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)))
#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 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) -1) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (* x (sqrt x))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (* x (sqrt x))) (* 1/8 (sqrt x)))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (/ 1/2 (* (* x x) x)) #s(hole binary64 (/ 1/2 (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 (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1/2 x)))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* x (- (* 1/4 x) 1/2))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* x (- (* x (+ 1/4 (* -1/6 x))) 1/2))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* x (- (* x (+ 1/4 (* x (- (* 1/8 x) 1/6)))) 1/2))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* 1/2 x)))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* x (+ 1/2 (* -1/4 x)))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/6 x) 1/4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/6 (* -1/8 x))) 1/4))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (pow (pow (sqrt x) -1/2) 2) 1)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (pow (pow (sqrt x) -1/2) 2)) 1)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (pow (pow (sqrt x) -1/2) 2)) 1)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (pow (pow (sqrt x) -1/2) 2)) 1)))
#s(approx (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) #s(hole binary64 (pow (pow (sqrt x) -1/2) 2)))
#s(approx (pow (sqrt x) -1/2) #s(hole binary64 (pow (sqrt x) -1/2)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (* -1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (* -1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (* -1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ 1 x))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))) 2)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))) 2) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))) 2)) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))) 2)) (+ (/ 1 (* x (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (pow (sqrt x) -1/2) #s(hole binary64 (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))) 2)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (/ 1 (* x (sqrt (/ 1 x)))) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))) 2))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (- (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (sqrt (/ 1 x)))) x)) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))) 2))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (- (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x))))) x)) (pow (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))) 2))))
#s(approx (pow (sqrt x) -1/2) #s(hole binary64 (exp (* -1/2 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))))))

Outputs
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x)) (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (neg.f64 (sqrt.f64 x)) x))) (neg.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (neg.f64 (sqrt.f64 x)) x)) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(literal 1 binary64)
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(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(+.f64 (cosh.f64 (neg.f64 (log.f64 (sqrt.f64 x)))) (sinh.f64 (neg.f64 (log.f64 (sqrt.f64 x)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/8 binary64))) (neg.f64 (pow.f64 x #s(literal -1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/8 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/8 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal -1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 (sqrt.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -1/4 binary64) (log.f64 x))))
#s(literal -1/2 binary64)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x 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 (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 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)))
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#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (+.f64 (fma.f64 x (+.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) (.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))) x)) (fma.f64 (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (+.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) (.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (neg.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (-.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (-.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(literal -1 binary64))
#s(approx (* 1 (neg (sqrt (- x -1)))) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (* 1 (neg (sqrt (- x -1)))) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (* 1 (neg (sqrt (- x -1)))) (-.f64 (.f64 (-.f64 (.f64 (fma.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 (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) (+.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (sqrt x) -1) (neg.f64 (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (neg.f64 (sqrt.f64 x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal -1/16 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (neg.f64 (sqrt.f64 x))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (* (* x x) x)) (/.f64 #s(literal 1/2 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 (* (sqrt x) x) (*.f64 (sqrt.f64 x) x))
#s(approx (* (log (sqrt (- x -1))) -1) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (log (sqrt (- x -1))) -1) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* (log (sqrt (- x -1))) -1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x))
#s(approx (* (log (sqrt (- x -1))) -1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x))
#s(approx (log (sqrt (- x -1))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (log (sqrt (- x -1))) (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (log (sqrt (- x -1))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (log (sqrt (- x -1))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
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#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (pow (sqrt x) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
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#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) x))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))))) x))
#s(approx (* 1 (neg (sqrt (- x -1)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64))) x))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64))) x))
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#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
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#s(approx (log (sqrt (- x -1))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (log (sqrt (- x -1))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (+.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))) (.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -6 binary64)) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (exp.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (exp.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)) (sqrt.f64 x)) x)) (exp.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
#s(approx (- (* (pow (sqrt x) -1/2) (pow (sqrt x) -1/2)) (/ 1 (sqrt (+ x 1)))) (+.f64 (exp.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) (sqrt.f64 x)) x))))
#s(approx (pow (sqrt x) -1/2) (exp.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64))))

eval49.0ms (1.3%)

Memory: 14.9MiB live, 101.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 5 572 to 1 741 computations (68.8% saved)

prune25.0ms (0.6%)

Memory

-17.5MiB live, 46.3MiB allocated; 10ms collecting garbage

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	400	17	417
Fresh	17	3	20
Picked	3	2	5
Done	0	0	0
Total	420	22	442

Accuracy

99.8%

Counts

442 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.3%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	37.6%	(/.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	23.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	20.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	36.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
	37.6%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	37.6%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	67.3%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	43.2%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	97.2%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	29.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	29.6%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	31.1%	#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	33.8%	#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
	36.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (*.f64 (sqrt.f64 x) x)))
▶	34.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) x))) (*.f64 (sqrt.f64 x) x)))
✓	34.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
	33.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) #s(approx ( (sqrt x) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
▶	64.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) x))
▶	97.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
	83.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64))))

Compiler

Compiled 884 to 768 computations (13.1% saved)

series30.0ms (0.8%)

Memory

4.2MiB live, 50.0MiB allocated; 6ms collecting garbage

Counts

37 → 139

Calls

Call 1

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

Outputs
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))) (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x)))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/2 (/ 1 (sqrt x))) (* x (+ (* -1 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x)))))) (* x (+ (* -1/16 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/16 (/ 1 (sqrt x))) (+ (* 1/8 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/2 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))))))))))) (/ 1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* -1/2 x) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) #s(hole binary64 (* -1/2 (/ (sqrt x) x))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ x (sqrt x))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (* x (sqrt x))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (* x (sqrt x))) (* 1/8 (sqrt x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 -1))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)))
#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 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (/ (/ 1/2 (sqrt x)) x) #s(hole binary64 (/ 1/2 (* x (sqrt x)))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 3)))))
#s(approx (/ 1/2 (* (* x x) x)) #s(hole binary64 (/ 1/2 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) #s(hole binary64 (/ 1/2 (* (pow x 2) (pow (sqrt x) 2)))))
#s(approx (* (* (sqrt x) x) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (pow (sqrt x) 2))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ 1 (* x (+ 1 (/ 1 (sqrt x)))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (/ 1 (+ 1 (/ 1 (sqrt x)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* x (- (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (/ 1 (sqrt x)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))) (+ (* 3/8 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* x (- x 1))) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (/ 1 (sqrt x)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (+ (* -1/2 x) (/ 1 (sqrt x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (+ (* x (- (* 3/8 x) 1/2)) (/ 1 (sqrt x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (+ (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)) (/ 1 (sqrt x))))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (/ (/ 1/2 (sqrt x)) x) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) #s(hole binary64 (/ 1/2 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (* (sqrt x) x) (* (sqrt x) x)) #s(hole binary64 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (* 3/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (- 1 (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ 1 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 4)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ 1 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 4)))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 6))))) x)))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ (- (/ 1 (pow (sqrt (/ 1 x)) 2)) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))) (pow x 2))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 6))) (/ 1 (pow (sqrt (/ 1 x)) 2))) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))) (pow x 2))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 6))) (/ 1 (pow (sqrt (/ 1 x)) 2))) (+ (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))) (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 8))))) (pow x 2))))
#s(approx (* (sqrt (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))
#s(approx (* (sqrt (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ 2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (* 2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 2 (/ 1 (sqrt (/ 1 x))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (* 2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (/ (/ 1/2 (sqrt x)) x) #s(hole binary64 (/ -1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) 1) x))))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) 1) x))))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))) (+ (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 6))) (/ 1 (pow (sqrt (/ 1 x)) 2)))) x)) 1) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ -2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (* 2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 2 (/ 1 (sqrt (/ 1 x))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (+ (* 2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	((/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/ -1/2 (* (/ 1 (sqrt x)) x)) -1/2 (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1 (sqrt x) x (* (sqrt x) (neg (sqrt (- x -1)))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) (* (/ 1/2 (* (* x x) x)) (sqrt x)) (/ 1/2 (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) (* (sqrt x) x)) (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) (* (* (sqrt x) x) (* (sqrt x) x)) (* (sqrt x) x) (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))))
9.0ms	x	@	-inf	((/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/ -1/2 (* (/ 1 (sqrt x)) x)) -1/2 (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1 (sqrt x) x (* (sqrt x) (neg (sqrt (- x -1)))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) (* (/ 1/2 (* (* x x) x)) (sqrt x)) (/ 1/2 (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) (* (sqrt x) x)) (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) (* (* (sqrt x) x) (* (sqrt x) x)) (* (sqrt x) x) (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))))
8.0ms	x	@	inf	((/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/ -1/2 (* (/ 1 (sqrt x)) x)) -1/2 (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1 (sqrt x) x (* (sqrt x) (neg (sqrt (- x -1)))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) (* (/ 1/2 (* (* x x) x)) (sqrt x)) (/ 1/2 (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) (* (sqrt x) x)) (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) (* (* (sqrt x) x) (* (sqrt x) x)) (* (sqrt x) x) (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))))

Time

Variable

Point

Expression

10.0ms

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

9.0ms

-inf

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

8.0ms

inf

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

rewrite289.0ms (7.4%)

Memory

-51.8MiB live, 209.4MiB allocated; 185ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	641	5184
0	702	4450
1	3778	3888
0	8485	3776

Stop Event

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

Counts

176 → 445

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) x)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) x))) (*.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) x))) (*.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x)))
(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (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))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))) (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x)))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/2 (/ 1 (sqrt x))) (* x (+ (* -1 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x)))))) (* x (+ (* -1/16 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/16 (/ 1 (sqrt x))) (+ (* 1/8 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/2 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))))))))))) (/ 1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* -1/2 x) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) #s(hole binary64 (* -1/2 (/ (sqrt x) x))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ x (sqrt x))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (* x (sqrt x))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (* x (sqrt x))) (* 1/8 (sqrt x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 -1))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)))
#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 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (/ (/ 1/2 (sqrt x)) x) #s(hole binary64 (/ 1/2 (* x (sqrt x)))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 3)))))
#s(approx (/ 1/2 (* (* x x) x)) #s(hole binary64 (/ 1/2 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) #s(hole binary64 (/ 1/2 (* (pow x 2) (pow (sqrt x) 2)))))
#s(approx (* (* (sqrt x) x) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (pow (sqrt x) 2))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ 1 (* x (+ 1 (/ 1 (sqrt x)))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (/ 1 (+ 1 (/ 1 (sqrt x)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* x (- (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (/ 1 (sqrt x)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))) (+ (* 3/8 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* x (- x 1))) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (/ 1 (sqrt x)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (+ (* -1/2 x) (/ 1 (sqrt x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (+ (* x (- (* 3/8 x) 1/2)) (/ 1 (sqrt x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (+ (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)) (/ 1 (sqrt x))))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (/ (/ 1/2 (sqrt x)) x) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (/ 1/2 (* (* (sqrt x) x) (* (sqrt x) x))) #s(hole binary64 (/ 1/2 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (* (sqrt x) x) (* (sqrt x) x)) #s(hole binary64 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (* 3/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (- 1 (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ 1 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 4)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x)))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ 1 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 4)))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 6))))) x)))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ (- (/ 1 (pow (sqrt (/ 1 x)) 2)) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))) (pow x 2))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 6))) (/ 1 (pow (sqrt (/ 1 x)) 2))) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))) (pow x 2))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 6))) (/ 1 (pow (sqrt (/ 1 x)) 2))) (+ (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))) (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 8))))) (pow x 2))))
#s(approx (* (sqrt (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))
#s(approx (* (sqrt (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ 2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (* 2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 2 (/ 1 (sqrt (/ 1 x))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (* 2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (/ (/ 1/2 (sqrt x)) x) #s(hole binary64 (/ -1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) 1) x))))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) 1) x))))
#s(approx (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))) (+ (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 6))) (/ 1 (pow (sqrt (/ 1 x)) 2)))) x)) 1) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ -2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (* 2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 2 (/ 1 (sqrt (/ 1 x))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (+ (* 2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))

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

eval60.0ms (1.5%)

Memory: 18.7MiB live, 120.6MiB allocated; 30ms collecting garbage
Compiler: Compiled 6 504 to 2 229 computations (65.7% saved)

prune26.0ms (0.7%)

Memory

-4.1MiB live, 41.4MiB allocated; 5ms collecting garbage

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	438	17	455
Fresh	6	9	15
Picked	4	1	5
Done	2	0	2
Total	450	27	477

Accuracy

100.0%

Counts

477 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.6%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	37.6%	(/.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	97.2%	(/.f64 (/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	37.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	36.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
	37.6%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	37.6%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	67.3%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	97.2%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	97.2%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (.f64 (sqrt.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
	97.0%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
	83.4%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (neg.f64 (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
	83.3%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) #s(approx ( (sqrt x) (neg (sqrt (- x -1)))) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
	97.0%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	97.2%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	29.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	29.6%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	5.7%	#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	36.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (*.f64 (sqrt.f64 x) x)))
▶	72.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(approx ( (/ 1/2 (* (* x x) x)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))) x))
✓	97.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
	97.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) x)))
	97.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))))
	97.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 #s(approx (/ 1/2 (sqrt x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64))) x)))
	96.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))))
	83.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64))))
	83.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(approx (/ (/ 1/2 (sqrt x)) x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 155 to 1 056 computations (8.6% saved)

series55.0ms (1.4%)

Memory

-24.7MiB live, 20.3MiB allocated; 8ms collecting garbage

Counts

37 → 135

Calls

Call 1

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

Outputs
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))) (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x)))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/2 (/ 1 (sqrt x))) (* x (+ (* -1 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x)))))) (* x (+ (* -1/16 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/16 (/ 1 (sqrt x))) (+ (* 1/8 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/2 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))))))))))) (/ 1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* -1/2 x) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) #s(hole binary64 (* -1/2 (/ (sqrt x) x))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (* x (sqrt x))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (* x (sqrt x))) (* 1/8 (sqrt x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 -1))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)))
#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 x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ 1 (* x (+ 1 (/ 1 (sqrt x)))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (/ 1 (+ 1 (/ 1 (sqrt x)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* x (- (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (/ 1 (sqrt x)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))) (+ (* 3/8 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 3)))))
#s(approx (/ (/ 1/2 (sqrt x)) (* x x)) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (* -1 (/ (- (sqrt x) 1) (sqrt x)))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (sqrt x) 1) (sqrt x))) (* 1/2 (/ x (sqrt x))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (sqrt x) 1) (sqrt x))) (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (* 1/2 (/ (- (sqrt x) 1) (pow (sqrt x) 3)))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (sqrt x) 1) (sqrt x))) (* x (+ (* x (+ (* -1 (* x (- (* 1/4 (/ 1 (pow (sqrt x) 3))) (* 1/16 (/ 1 (sqrt x)))))) (* -1 (- (* 1/8 (/ 1 (sqrt x))) (* 1/2 (/ (- (sqrt x) 1) (pow (sqrt x) 3))))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (- (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (- (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (+ (sqrt x) (* -1/2 x)) 1)))
#s(approx (- (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (+ (sqrt x) (* x (- (* 1/8 x) 1/2))) 1)))
#s(approx (- (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (+ (sqrt x) (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))) 1)))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (- (* -1/2 (/ (pow x 2) (sqrt x))) (sqrt x))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (- (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))) (sqrt x))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))) (sqrt x))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (/ (pow x 2) (sqrt x))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (* x (- x -1)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ x (sqrt x))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (* 3/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (/ (/ 1/2 (sqrt x)) (* x x)) #s(hole binary64 (/ 1/2 (* (pow x 3) (sqrt (/ 1 x))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (- (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x))))) (pow x 2))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/4 (* x (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (- (+ (* -1 (/ (- (* 1/16 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x))))) (pow x 2))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (/ 1/4 (* x (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* -1 x)))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* x (- (/ 1/8 (pow x 2)) (+ 1 (* 1/2 (/ 1 x)))))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* x (- (/ 1/8 (pow x 2)) (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3)))))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* x (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (/ (/ 1/2 (sqrt x)) (* x x)) #s(hole binary64 (/ -1/2 (* (pow x 3) (sqrt (/ 1 x))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ (/ 1/8 (* x (pow (sqrt (/ 1 x)) 3))) (* 1/4 (/ 1 (sqrt (/ 1 x))))) (/ 3/16 (* x (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x)))))) (* -1 (/ (+ (* -1/2 (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x)))))) (* 1/16 (/ 1 (sqrt (/ 1 x))))) x))) x)) (* 1/4 (/ 1 (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 1)))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 1)))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)))))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))

Calls

3 calls:

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

Time

Variable

Point

Expression

6.0ms

-inf

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

5.0ms

inf

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

5.0ms

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

rewrite209.0ms (5.4%)

Memory

-0.1MiB live, 288.6MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	711	5173
0	766	4561
1	4329	4127
0	9628	4003

Stop Event

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

Counts

172 → 353

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/.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 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(approx ( (/ 1/2 (* (* x x) x)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))) x))
(.f64 #s(approx ( (/ 1/2 (* (* x x) x)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))) x)
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))
(*.f64 x x)
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
(neg.f64 (sqrt.f64 x))
(neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (.f64 (sqrt.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))) (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x)))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/2 (/ 1 (sqrt x))) (* x (+ (* -1 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x)))))) (* x (+ (* -1/16 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/16 (/ 1 (sqrt x))) (+ (* 1/8 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/2 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))))))))))) (/ 1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* -1/2 x) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) #s(hole binary64 (* -1/2 (/ (sqrt x) x))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (* x (sqrt x))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (* x (sqrt x))) (* 1/8 (sqrt x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 -1))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)))
#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 x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ 1 (* x (+ 1 (/ 1 (sqrt x)))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (/ 1 (+ 1 (/ 1 (sqrt x)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* x (- (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (/ 1 (sqrt x)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))) (+ (* 3/8 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) (+ 1 (/ 1 (sqrt x))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 3)))))
#s(approx (/ (/ 1/2 (sqrt x)) (* x x)) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (* -1 (/ (- (sqrt x) 1) (sqrt x)))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (sqrt x) 1) (sqrt x))) (* 1/2 (/ x (sqrt x))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (sqrt x) 1) (sqrt x))) (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (* 1/2 (/ (- (sqrt x) 1) (pow (sqrt x) 3)))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (sqrt x) 1) (sqrt x))) (* x (+ (* x (+ (* -1 (* x (- (* 1/4 (/ 1 (pow (sqrt x) 3))) (* 1/16 (/ 1 (sqrt x)))))) (* -1 (- (* 1/8 (/ 1 (sqrt x))) (* 1/2 (/ (- (sqrt x) 1) (pow (sqrt x) 3))))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (- (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (- (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (+ (sqrt x) (* -1/2 x)) 1)))
#s(approx (- (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (+ (sqrt x) (* x (- (* 1/8 x) 1/2))) 1)))
#s(approx (- (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (+ (sqrt x) (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))) 1)))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (- (* -1/2 (/ (pow x 2) (sqrt x))) (sqrt x))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (- (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))) (sqrt x))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))) (sqrt x))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (/ (pow x 2) (sqrt x))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (* x (- x -1)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ x (sqrt x))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (* 3/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (/ (/ 1/2 (sqrt x)) (* x x)) #s(hole binary64 (/ 1/2 (* (pow x 3) (sqrt (/ 1 x))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (- (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x))))) (pow x 2))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/4 (* x (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (- (+ (* -1 (/ (- (* 1/16 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x))))) (pow x 2))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (/ 1/4 (* x (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* -1 x)))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* x (- (/ 1/8 (pow x 2)) (+ 1 (* 1/2 (/ 1 x)))))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* x (- (/ 1/8 (pow x 2)) (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3)))))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* x (- x -1)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (/ (/ 1/2 (sqrt x)) (* x x)) #s(hole binary64 (/ -1/2 (* (pow x 3) (sqrt (/ 1 x))))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ (/ 1/8 (* x (pow (sqrt (/ 1 x)) 3))) (* 1/4 (/ 1 (sqrt (/ 1 x))))) (/ 3/16 (* x (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (* x (- x -1))))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x)))))) (* -1 (/ (+ (* -1/2 (- (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/16 (/ 1 (sqrt (/ 1 x)))))) (* 1/16 (/ 1 (sqrt (/ 1 x))))) x))) x)) (* 1/4 (/ 1 (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 1)))))
#s(approx (neg (sqrt (* x (- x -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 1)))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)))))))
#s(approx (* (/ 1 (sqrt x)) x) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))

Outputs
(/.f64 (neg.f64 (/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))))))
(/.f64 (/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))))
#s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (sqrt.f64 x) x)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) (neg.f64 (.f64 (neg.f64 (sqrt.f64 x)) x)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
x
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
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#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (neg.f64 x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) x) #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (-.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) x) #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x)))
#s(approx (neg (sqrt (- x -1))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (neg (sqrt (- x -1))) (.f64 (neg.f64 x) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (neg (sqrt (- x -1))) (.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (neg (sqrt (- x -1))) (.f64 (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (sqrt (- x -1)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))))
#s(approx (/ 1/2 (sqrt x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 x))))
#s(approx (/ (/ 1/2 (sqrt x)) (* x x)) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (*.f64 x x) x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (.f64 #s(literal -3/16 binary64) (sqrt.f64 x))) (.f64 x x)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/4 binary64))) (.f64 x x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (.f64 #s(literal -3/16 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (.f64 #s(literal -3/16 binary64) (sqrt.f64 x))) (.f64 x x))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/4 binary64))) (*.f64 x x)))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (neg.f64 x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x))) x))
#s(approx (sqrt (* x (- x -1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (sqrt (* x (- x -1))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (sqrt (* x (- x -1))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (* x (- x -1)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) x))
#s(approx (* (/ 1 (sqrt x)) x) (sqrt.f64 x))
#s(approx (/ 1 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt (- x -1))) (/.f64 (-.f64 (sqrt.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (- x -1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (- x -1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))))) x)))
#s(approx (/ (sqrt x) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (neg (sqrt (- x -1))) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (neg (sqrt (- x -1))) (.f64 (neg.f64 x) (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (* (* (/ 1/2 (* (* x x) x)) (sqrt x)) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/2 binary64)))
#s(approx (* (/ 1/2 (* (* x x) x)) (sqrt x)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (.f64 x x)))
#s(approx (/ (/ 1/2 (sqrt x)) (* x x)) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (*.f64 x x) x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) x))) (/.f64 #s(literal 3/16 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) x))) (.f64 x x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (.f64 #s(literal -3/16 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x)) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (.f64 #s(literal -3/16 binary64) (sqrt.f64 x))))) x))) x))) (.f64 x x)))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 1 binary64))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
#s(approx (sqrt (* x (- x -1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
#s(approx (sqrt (* x (- x -1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.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)) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (/ 1 (sqrt (- x -1))) (neg.f64 (/.f64 (-.f64 (sqrt.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (- x -1))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (- x -1))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))

eval81.0ms (2.1%)

Memory: 20.8MiB live, 111.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 6 281 to 2 216 computations (64.7% saved)

prune75.0ms (1.9%)

Memory

-17.2MiB live, 84.0MiB allocated; 37ms collecting garbage

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	455	14	469
Fresh	10	11	21
Picked	2	3	5
Done	0	1	1
Total	467	29	496

Accuracy

100.0%

Counts

496 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	40.6%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	37.6%	(/.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	97.3%	(/.f64 (/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	37.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	37.5%	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	37.6%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
✓	37.6%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	36.9%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (neg.f64 #s(approx (sqrt (* x (- x -1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))))
	37.4%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 #s(approx (sqrt x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))) (neg.f64 (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
	96.9%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
	97.0%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	83.5%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))))
	83.4%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) #s(approx ( (sqrt x) (neg (sqrt (- x -1)))) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
	97.2%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ -1/2 (* (/ 1 (sqrt x)) x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) #s(approx ( (sqrt x) (neg (sqrt (- x -1)))) (neg.f64 x)))
	29.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	29.6%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	5.7%	#s(approx (/ (- (/ 1 x) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	54.6%	#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (.f64 #s(literal -3/16 binary64) (sqrt.f64 x))) (.f64 x x)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/4 binary64))) (.f64 x x)))
	95.9%	#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) x)))
	83.2%	#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
	36.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (*.f64 (sqrt.f64 x) x)))
	72.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(approx ( (/ 1/2 (* (* x x) x)) (sqrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x)) x))
✓	72.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(approx ( (/ 1/2 (* (* x x) x)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))) x))
	70.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(approx ( (/ 1/2 (* (* x x) x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 x)))) x))
✓	97.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
	97.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))))
	96.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))))
	83.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64))))

Compiler

Compiled 1 526 to 882 computations (42.2% saved)

regimes39.0ms (1%)

Memory

45.3MiB live, 89.4MiB allocated; 7ms collecting garbage

Counts

74 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

2 calls:

22.0ms	x
13.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.6%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.7%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes64.0ms (1.6%)

Memory

-18.7MiB live, 69.9MiB allocated; 16ms collecting garbage

Counts

57 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

2 calls:

42.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
14.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.6%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes46.0ms (1.2%)

Memory

-17.2MiB live, 42.7MiB allocated; 5ms collecting garbage

Counts

50 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

31.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
12.0ms	x

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes14.0ms (0.4%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes13.0ms (0.3%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes33.0ms (0.8%)

Memory

-43.1MiB live, 3.5MiB allocated; 2ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

31.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
96.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.0%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -2.1b remaining (-3.4%)

Threshold costs -2.1b (-3.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
5.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
5.7%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch9.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	4293618134654338.0	218809281648011620.0

Samples

5.0ms

64×

valid

Compiler

Compiled 166 to 160 computations (3.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sqrt: 2.0ms (50% of total)

adjust: 1.0ms (25% of total)

ival-div!: 1.0ms (25% of total)

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

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

bsearch14.0ms (0.4%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	1056231656540969.9	4293618134654338.0

Samples

8.0ms

96×

valid

Compiler

Compiled 236 to 228 computations (3.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sqrt: 3.0ms (50.5% of total)

ival-div!: 2.0ms (33.6% of total)

adjust: 1.0ms (16.8% of total)

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

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

derivations343.0ms (8.8%)

Memory

-18.5MiB live, 361.3MiB allocated; 41ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 139 to 79 computations (43.2% saved)

preprocess76.0ms (1.9%)

Memory: 40.1MiB live, 129.7MiB allocated; 13ms collecting garbage
Compiler: Compiled 169 to 103 computations (39.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.5s (37.7%)

preprocess121.0ms (3.1%)

series31.0ms (0.8%)

rewrite239.0ms (6.1%)

eval21.0ms (0.5%)

prune28.0ms (0.7%)

series237.0ms (6%)

rewrite202.0ms (5.2%)

eval49.0ms (1.3%)

prune25.0ms (0.6%)

series30.0ms (0.8%)

rewrite289.0ms (7.4%)

eval60.0ms (1.5%)

prune26.0ms (0.7%)

series55.0ms (1.4%)

rewrite209.0ms (5.4%)

eval81.0ms (2.1%)

prune75.0ms (1.9%)

regimes39.0ms (1%)

regimes64.0ms (1.6%)

regimes46.0ms (1.2%)

regimes14.0ms (0.4%)

regimes13.0ms (0.3%)

regimes33.0ms (0.8%)

regimes3.0ms (0.1%)

bsearch9.0ms (0.2%)

bsearch14.0ms (0.4%)

derivations343.0ms (8.8%)

preprocess76.0ms (1.9%)

end0.0ms (0%)

Profiling