Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.6s (42.8%)

Memory

46.0MiB live, 1 217.7MiB allocated; 420ms collecting garbage

Samples

819.0ms	6 158×	1	valid
461.0ms	1 975×	2	valid
5.0ms	123×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sqrt: 419.0ms (39.9% of total)

adjust: 209.0ms (19.9% of total)

ival-div!: 190.0ms (18.1% of total)

ival-add!: 167.0ms (15.9% of total)

ival-sub!: 66.0ms (6.3% of total)

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

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

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

Bogosity

preprocess101.0ms (2.7%)

Memory

-21.4MiB live, 69.1MiB allocated; 13ms 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
▶	38.4%	(-.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)

series7.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms 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
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))
2.0ms	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

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))

2.0ms

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))

rewrite185.0ms (4.9%)

Memory

2.1MiB live, 141.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	1177
0	212	1079
1	1146	910
0	8146	873

Stop Event

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

Counts

48 → 115

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

eval11.0ms (0.3%)

Memory: 20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 181 to 484 computations (59% saved)

prune22.0ms (0.6%)

Memory

-5.9MiB live, 40.6MiB allocated; 3ms collecting garbage

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	83	27	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	27	111

Accuracy

66.3%

Counts

111 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (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))))))))
	26.2%	(/.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))))))
	38.5%	(/.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)))))
▶	38.5%	(/.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))))))
	37.4%	(-.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 (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)))))))))
	26.7%	(-.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)))))))
▶	24.1%	(-.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)))))
	30.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
	8.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
	24.1%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #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)))))
	8.2%	(-.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))))))
	38.4%	(-.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)))))
	30.4%	(-.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)))
	8.2%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	23.4%	(-.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)))))
	30.4%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	8.2%	(-.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)))))
	23.8%	(-.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)))))
	28.3%	#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 x #s(literal -7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal -5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	28.5%	#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 x #s(literal -7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 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)))
	32.3%	#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 x #s(literal -5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
▶	32.7%	#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 902 to 760 computations (15.7% saved)

series89.0ms (2.4%)

Memory

7.1MiB live, 141.7MiB allocated; 29ms collecting garbage

Counts

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

Calls

3 calls:

Time	Variable		Point	Expression
36.0ms	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))) (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/ 1 (* (pow x 1/4) (pow x 1/4))) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
31.0ms	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))) (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/ 1 (* (pow x 1/4) (pow x 1/4))) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
19.0ms	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))) (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/ 1 (* (pow x 1/4) (pow x 1/4))) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

36.0ms

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

31.0ms

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

19.0ms

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

rewrite192.0ms (5.1%)

Memory

-16.9MiB live, 137.6MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	581	4436
0	636	3815
1	3593	3320
0	9789	3211

Stop Event

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

Counts

161 → 419

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

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

eval48.0ms (1.3%)

Memory: 17.0MiB live, 63.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 679 to 1 910 computations (66.4% saved)

prune26.0ms (0.7%)

Memory

-13.1MiB live, 33.0MiB allocated; 3ms collecting garbage

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	445	19	464
Fresh	17	5	22
Picked	5	0	5
Done	0	0	0
Total	467	24	491

Accuracy

99.8%

Counts

491 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(/.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))))))
	37.0%	(/.f64 (-.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (pow.f64 (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))))))))
▶	37.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (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))))))))
	37.7%	(/.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))))))
▶	38.5%	(/.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))))))
	38.5%	(/.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))))))
	42.6%	(/.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 (/.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 x #s(literal -5/2 binary64))))))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	66.8%	(/.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))))))
	42.4%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 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 x #s(literal -5/2 binary64)))))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	26.7%	(-.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)))))))
	38.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	30.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	23.8%	(-.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)))))
	28.3%	#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 x #s(literal -7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal -5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	32.3%	#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 x #s(literal -5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
▶	5.7%	#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	34.2%	#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)))
	32.7%	#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)))
	31.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (.f64 x x)))))
	31.4%	#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 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))))
	63.6%	#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))
	97.0%	#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)))
	81.7%	#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)) (.f64 x x))))

Compiler

Compiled 1 090 to 948 computations (13% saved)

series34.0ms (0.9%)

Memory

-13.0MiB live, 33.0MiB allocated; 3ms collecting garbage

Counts

38 → 183

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

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

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	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 (* (pow x 1/4) (pow x 1/4))) (/ 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)) 1/2 (* x x) (* (sqrt x) x) (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (* (sqrt x) (neg (sqrt (- x -1))))) (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt x)) (/ (- (/ 1 (* (sqrt x) x)) (pow (sqrt (- x -1)) -3)) (+ (/ 1 x) (+ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/ 1 (sqrt (* x (- x -1))))))) (- (/ 1 (* (sqrt x) x)) (pow (sqrt (- x -1)) -3)) (/ 1 (* (sqrt x) x)) (pow (sqrt (- x -1)) -3) -3 (+ (/ 1 x) (+ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/ 1 (sqrt (* x (- x -1)))))) (/ 1 x) (+ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/ 1 (sqrt (* x (- x -1))))) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))) (/ 1 (sqrt (* x (- x -1)))) (sqrt (* x (- x -1))) (* x (- 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 (* (pow x 1/4) (pow x 1/4))) (/ 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)) 1/2 (* x x) (* (sqrt x) x) (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (* (sqrt x) (neg (sqrt (- x -1))))) (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt x)) (/ (- (/ 1 (* (sqrt x) x)) (pow (sqrt (- x -1)) -3)) (+ (/ 1 x) (+ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/ 1 (sqrt (* x (- x -1))))))) (- (/ 1 (* (sqrt x) x)) (pow (sqrt (- x -1)) -3)) (/ 1 (* (sqrt x) x)) (pow (sqrt (- x -1)) -3) -3 (+ (/ 1 x) (+ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/ 1 (sqrt (* x (- x -1)))))) (/ 1 x) (+ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/ 1 (sqrt (* x (- x -1))))) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))) (/ 1 (sqrt (* x (- x -1)))) (sqrt (* x (- x -1))) (* x (- x -1)))
7.0ms	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 (* (pow x 1/4) (pow x 1/4))) (/ 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)) 1/2 (* x x) (* (sqrt x) x) (/ (- (neg (sqrt (- x -1))) (neg (sqrt x))) (* (sqrt x) (neg (sqrt (- x -1))))) (- (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt x)) (/ (- (/ 1 (* (sqrt x) x)) (pow (sqrt (- x -1)) -3)) (+ (/ 1 x) (+ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/ 1 (sqrt (* x (- x -1))))))) (- (/ 1 (* (sqrt x) x)) (pow (sqrt (- x -1)) -3)) (/ 1 (* (sqrt x) x)) (pow (sqrt (- x -1)) -3) -3 (+ (/ 1 x) (+ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/ 1 (sqrt (* x (- x -1)))))) (/ 1 x) (+ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/ 1 (sqrt (* x (- x -1))))) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))) (/ 1 (sqrt (* x (- x -1)))) (sqrt (* x (- x -1))) (* x (- x -1)))

Time

Variable

Point

Expression

14.0ms

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

7.0ms

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

rewrite195.0ms (5.2%)

Memory

10.6MiB live, 149.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1032	8139
0	1098	6879
1	6782	6006
0	8390	5838

Stop Event

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

Counts

221 → 415

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

eval61.0ms (1.6%)

Memory: 36.3MiB live, 80.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 068 to 2 635 computations (70.9% saved)

prune37.0ms (1%)

Memory

-10.7MiB live, 41.2MiB allocated; 10ms collecting garbage

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	543	20	563
Fresh	10	9	19
Picked	1	4	5
Done	0	0	0
Total	554	33	587

Accuracy

100.0%

Counts

587 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 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))))))
	24.4%	(/.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))))))
	97.1%	(/.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)))))
	38.2%	(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (pow.f64 (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))))))))
✓	38.5%	(/.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))))))
	38.5%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
	37.7%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.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))))))
▶	66.8%	(/.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))))))
▶	96.9%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	42.4%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 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 x #s(literal -5/2 binary64)))))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	96.7%	(/.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) #s(approx (neg (sqrt (- x -1))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
	81.8%	(/.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 (-.f64 x #s(literal -1 binary64)) x))))
	81.8%	(/.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) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) x))) (.f64 #s(approx (sqrt x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	96.7%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ 1 (sqrt x)) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	97.1%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	96.8%	(/.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))))))
	97.1%	(/.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))))))
	38.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	30.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	23.8%	(-.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)))))
	28.3%	#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 x #s(literal -7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal -5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	32.3%	#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 x #s(literal -5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
✓	5.7%	#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	5.7%	#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	5.7%	#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) #s(approx (/ 1 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
▶	50.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x)) x))
	34.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (.f64 (sqrt.f64 x) x)))
✓	34.2%	#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)))
	63.6%	#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))
	97.0%	#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)))
	81.7%	#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)) (.f64 x x))))

Compiler

Compiled 1 417 to 1 259 computations (11.2% saved)

series17.0ms (0.4%)

Memory

-28.6MiB live, 17.9MiB allocated; 3ms collecting garbage

Counts

37 → 106

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
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)) -1/2 (* (/ 1 (sqrt x)) x) (/ x (sqrt x)) x (sqrt x) (* (sqrt x) (neg (sqrt (- x -1)))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ 1/2 (* x x)) (* (sqrt x) x)) x) (* (/ 1/2 (* x x)) (* (sqrt x) x)) (/ 1/2 (* x x)) 1/2 (* x x) (* (sqrt x) x) (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/ (/ -1/2 x) (/ 1 (sqrt x))) (/ -1/2 x) (/ 1 (sqrt x)) (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/ (+ (* (* (/ 1 (* x x)) (* (sqrt x) x)) 1/8) (* -1/2 (sqrt x))) x) (+ (* (* (/ 1 (* x x)) (* (sqrt x) x)) 1/8) (* -1/2 (sqrt x))) (* (/ 1 (* x x)) (* (sqrt x) x)) (/ 1 (* x x)) 1/8 (* -1/2 (sqrt x)))
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)) -1/2 (* (/ 1 (sqrt x)) x) (/ x (sqrt x)) x (sqrt x) (* (sqrt x) (neg (sqrt (- x -1)))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ 1/2 (* x x)) (* (sqrt x) x)) x) (* (/ 1/2 (* x x)) (* (sqrt x) x)) (/ 1/2 (* x x)) 1/2 (* x x) (* (sqrt x) x) (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/ (/ -1/2 x) (/ 1 (sqrt x))) (/ -1/2 x) (/ 1 (sqrt x)) (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/ (+ (* (* (/ 1 (* x x)) (* (sqrt x) x)) 1/8) (* -1/2 (sqrt x))) x) (+ (* (* (/ 1 (* x x)) (* (sqrt x) x)) 1/8) (* -1/2 (sqrt x))) (* (/ 1 (* x x)) (* (sqrt x) x)) (/ 1 (* x x)) 1/8 (* -1/2 (sqrt x)))
4.0ms	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) (/ x (sqrt x)) x (sqrt x) (* (sqrt x) (neg (sqrt (- x -1)))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ 1/2 (* x x)) (* (sqrt x) x)) x) (* (/ 1/2 (* x x)) (* (sqrt x) x)) (/ 1/2 (* x x)) 1/2 (* x x) (* (sqrt x) x) (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/ (/ -1/2 x) (/ 1 (sqrt x))) (/ -1/2 x) (/ 1 (sqrt x)) (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/ (+ (* (* (/ 1 (* x x)) (* (sqrt x) x)) 1/8) (* -1/2 (sqrt x))) x) (+ (* (* (/ 1 (* x x)) (* (sqrt x) x)) 1/8) (* -1/2 (sqrt x))) (* (/ 1 (* x x)) (* (sqrt x) x)) (/ 1 (* x x)) 1/8 (* -1/2 (sqrt x)))

Time

Variable

Point

Expression

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

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

4.0ms

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

rewrite151.0ms (4%)

Memory

28.5MiB live, 119.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	474	3635
0	526	3189
1	2692	2750
0	8487	2672

Stop Event

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

Counts

143 → 408

Calls

Call 1

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

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

eval60.0ms (1.6%)

Memory: -6.1MiB live, 87.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 6 996 to 2 465 computations (64.8% saved)

prune44.0ms (1.2%)

Memory

24.2MiB live, 70.0MiB allocated; 5ms collecting garbage

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	538	18	556
Fresh	13	11	24
Picked	2	3	5
Done	2	2	4
Total	555	34	589

Accuracy

100.0%

Counts

589 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 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))))))
	24.4%	(/.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))))))
	98.4%	(/.f64 (/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) x) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	97.0%	(/.f64 (/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x))))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	38.2%	(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (pow.f64 (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))))))))
✓	38.5%	(/.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))))))
	38.5%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
	98.5%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x 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))))))
	83.3%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) x) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 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 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	81.7%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	42.4%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) x) #s(literal 1/8 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 x #s(literal -5/2 binary64)))))) x)) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	96.8%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(approx (+ (* (* (/ 1 (* x x)) (* (sqrt x) x)) 1/8) (* -1/2 (sqrt x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/2 binary64))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	96.7%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) (.f64 #s(approx (/ 1 (sqrt x)) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.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) (/.f64 x (sqrt.f64 x))))) (.f64 (sqrt.f64 x) #s(approx (neg (sqrt (- x -1))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))))
	81.8%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x))))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
	81.8%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal -1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.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))))))
	96.8%	(/.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))))))
	98.2%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ (+ (* (* (/ 1 (* x x)) (* (sqrt x) x)) 1/8) (* -1/2 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	52.2%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(approx (/ (+ (* (* (/ 1 (* x x)) (* (sqrt x) x)) 1/8) (* -1/2 (sqrt x))) x) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 x x)))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	38.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	30.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	23.8%	(-.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)))))
	28.3%	#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 x #s(literal -7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal -5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	32.8%	#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)))
✓	5.7%	#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	5.7%	#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	5.7%	#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) #s(approx (/ 1 (sqrt x)) (/.f64 (sqrt.f64 x) x)))
	5.7%	#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) #s(approx (/ 1 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
✓	50.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x)) x))
	97.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ 1/2 (* x x)) (* (sqrt x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
	97.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ 1/2 (* x x)) (* (sqrt x) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) x))
	50.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (*.f64 (sqrt.f64 x) x) x)))
	81.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* (/ 1/2 (* x x)) (* (sqrt x) x)) x) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64))))

Compiler

Compiled 1 883 to 1 109 computations (41.1% saved)

regimes247.0ms (6.5%)

Memory

-43.1MiB live, 59.3MiB allocated; 47ms collecting garbage

Counts

85 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x 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))))))

Outputs

(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x 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))))))

Calls

2 calls:

217.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
20.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.5%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes29.0ms (0.8%)

Memory

33.7MiB live, 33.7MiB allocated; 0ms collecting garbage

Counts

62 → 1

Calls

Call 1

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

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

Outputs

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

Calls

2 calls:

15.0ms	x
11.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
98.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.2%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes30.0ms (0.8%)

Memory

-21.0MiB live, 26.3MiB allocated; 7ms collecting garbage

Counts

54 → 1

Calls

Call 1

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

Calls

2 calls:

18.0ms	x
10.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
97.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.1%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes14.0ms (0.4%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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
97.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.1%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes16.0ms (0.4%)

Memory

-31.1MiB live, 15.5MiB allocated; 2ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* (/ 1/2 (* x x)) (* (sqrt x) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) 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
97.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.1%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes6.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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) (sqrt.f64 x)) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.0%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Accuracy

Total -2.0b remaining (-3.4%)

Threshold costs -2b (-3.4%)

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (* (pow x 1/4) (pow x 1/4))) (/ 1 (sqrt (+ x 1)))) #s(approx (/ 1 (sqrt x)) (/.f64 (sqrt.f64 x) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
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)

derivations436.0ms (11.5%)

Memory

1.4MiB live, 283.9MiB allocated; 33ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 121 to 83 computations (31.4% saved)

preprocess100.0ms (2.7%)

Memory: -2.4MiB live, 133.1MiB allocated; 20ms collecting garbage
Compiler: Compiled 151 to 107 computations (29.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.6s (42.8%)

preprocess101.0ms (2.7%)

series7.0ms (0.2%)

rewrite185.0ms (4.9%)

eval11.0ms (0.3%)

prune22.0ms (0.6%)

series89.0ms (2.4%)

rewrite192.0ms (5.1%)

eval48.0ms (1.3%)

prune26.0ms (0.7%)

series34.0ms (0.9%)

rewrite195.0ms (5.2%)

eval61.0ms (1.6%)

prune37.0ms (1%)

series17.0ms (0.4%)

rewrite151.0ms (4%)

eval60.0ms (1.6%)

prune44.0ms (1.2%)

regimes247.0ms (6.5%)

regimes29.0ms (0.8%)

regimes30.0ms (0.8%)

regimes14.0ms (0.4%)

regimes16.0ms (0.4%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

derivations436.0ms (11.5%)

preprocess100.0ms (2.7%)

end0.0ms (0%)

Profiling