Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.5s (38%)

Memory

62.6MiB live, 1 315.8MiB allocated; 285ms collecting garbage

Samples

760.0ms	6 088×	1	valid
412.0ms	2 046×	2	valid
38.0ms	122×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 946.0ms

ival-sqrt: 398.0ms (42.1% of total)

ival-div!: 252.0ms (26.6% of total)

adjust: 216.0ms (22.8% of total)

ival-add!: 42.0ms (4.4% of total)

ival-sub!: 37.0ms (3.9% of total)

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

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

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

Bogosity

preprocess44.0ms (1.1%)

Memory

-30.9MiB live, 60.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	68	27
2	294	27
3	1669	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Symmetry

(abs x)

(negabs x)

Compiler

Compiled 20 to 16 computations (20% saved)

series9.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB 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 (4.7%)

Memory

24.8MiB live, 161.8MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	1177
0	212	1079
1	1342	935
0	8225	898
1	25871	898

Stop Event

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

Counts

48 → 86

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

eval10.0ms (0.2%)

Memory: -34.8MiB live, 10.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 878 to 321 computations (63.4% saved)

prune10.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	66	15	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	15	82

Accuracy

67.6%

Counts

82 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.8%	(/.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)))))
	40.8%	(/.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))))))
	34.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
	40.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 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)))))
▶	25.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))))
	3.4%	(-.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))))
	7.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))))) x)))
▶	2.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	27.1%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	32.9%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	22.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 5/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 #s(literal 35/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9/2 binary64))) (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x))))) (.f64 (*.f64 x x) x)))
	27.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 5/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	31.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
▶	34.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) x))))

Compiler

Compiled 550 to 492 computations (10.5% saved)

series18.0ms (0.4%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

35 → 104

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

5.0ms

-inf

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

5.0ms

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

5.0ms

inf

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

rewrite288.0ms (7.3%)

Memory

-35.8MiB live, 140.4MiB allocated; 178ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3569
0	562	3117
1	3511	2448
0	9704	2358
1	26378	2358

Stop Event

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

Counts

139 → 489

Calls

Call 1

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

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

eval41.0ms (1%)

Memory: 12.3MiB live, 57.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 587 to 1 852 computations (59.6% saved)

prune24.0ms (0.6%)

Memory

-14.4MiB live, 31.4MiB allocated; 4ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	418	21	439
Fresh	8	2	10
Picked	5	0	5
Done	0	0	0
Total	431	23	454

Accuracy

99.9%

Counts

454 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.5%	(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	6.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
	6.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
	40.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (sqrt (* x (- x -1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)))
	40.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	40.5%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	29.9%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
▶	80.2%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	78.7%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	26.8%	(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	40.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x)))
▶	96.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	78.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 x)))) (*.f64 x x)))
	31.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
▶	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (sqrt.f64 x))))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
	94.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
	94.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (sqrt.f64 x)))))
▶	94.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (/.f64 x (/.f64 (sqrt.f64 x) x)))))
	39.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x))) (.f64 (*.f64 x x) x))))

Compiler

Compiled 830 to 784 computations (5.5% saved)

series17.0ms (0.4%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

29 → 120

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (/.f64 x (/.f64 (sqrt.f64 x) x)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (/.f64 x (/.f64 (sqrt.f64 x) x))))
#s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (/.f64 x (/.f64 (sqrt.f64 x) x)))
(/.f64 x (/.f64 (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))
#s(literal 1/8 binary64)
(sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))
(*.f64 x (-.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 (/ (/ 1/2 (sqrt x)) x) #s(hole binary64 (/ 1/2 (* x (sqrt x)))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ 1/2 (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x))) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) #s(hole binary64 (/ (pow x 2) (sqrt x))))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 -1))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 (- (* x (+ 1/2 (* -3/8 x))) 1)))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 (- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1)))
#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)) (sqrt (* x (- x -1)))) #s(hole binary64 (/ (- 1 (sqrt x)) (sqrt x))))
#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) #s(hole binary64 (- (+ (* 1/2 (/ x (sqrt x))) (/ 1 (sqrt x))) 1)))
#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* x (+ (* 1/8 (/ 1 (sqrt x))) (* 1/2 (/ (- 1 (sqrt x)) (pow (sqrt x) 3)))))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))) 1)))
#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) #s(hole binary64 (- (+ (* x (+ (* x (- (* x (- (* 1/16 (/ 1 (sqrt x))) (* 1/4 (/ 1 (pow (sqrt x) 3))))) (+ (* 1/8 (/ 1 (sqrt x))) (* 1/2 (/ (- 1 (sqrt x)) (pow (sqrt x) 3)))))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))) 1)))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) #s(hole binary64 (/ -1/8 (* x (sqrt x)))))
#s(approx (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) #s(hole binary64 (/ (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))) x)))
#s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) #s(hole binary64 (/ -1/8 (sqrt x))))
#s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) #s(hole binary64 (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x))))))
#s(approx (/ 1/2 (/ (sqrt x) x)) #s(hole binary64 (* 1/2 (/ x (sqrt x)))))
#s(approx (/ 1/8 (sqrt x)) #s(hole binary64 (/ 1/8 (sqrt x))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (/ (pow x 2) (sqrt x))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (* x (- x -1)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 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 (/ (/ 1/2 (sqrt x)) x) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1/2 (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x))) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) #s(hole binary64 (/ x (sqrt (/ 1 x)))))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (sqrt (/ 1 x)) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1 (* x (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (sqrt (/ 1 x)))) x)))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (/ 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)))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (/ 1 (sqrt (- x -1))) #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 (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)) (sqrt (* x (- x -1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/4 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 3/16 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (+ (/ 1/4 (* x (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/16 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (- (* 3/16 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))))) (pow x 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 3/16 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (+ (/ 1/4 (* x (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))) (pow x 2))))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x)))
#s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) #s(hole binary64 (/ 1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) #s(hole binary64 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (/ 1/8 (sqrt x)) #s(hole binary64 (/ 1/8 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* x (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* x (- x -1)) #s(hole binary64 (pow x 2)))
#s(approx (* x (- x -1)) #s(hole binary64 (* (pow x 2) (+ 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 (/ (/ 1/2 (sqrt x)) x) #s(hole binary64 (/ -1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ 1/2 (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x))) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) #s(hole binary64 (* -1 (/ x (sqrt (/ 1 x))))))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (sqrt (/ 1 x)))) x)))))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -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)))))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (sqrt (/ 1 x)))) x))))
#s(approx (neg (/ 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))))
#s(approx (neg (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) 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)))))))))
#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 3/16 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) x)) (* 1/4 (/ 1 (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (/ 1 (sqrt (/ 1 x)))) (* -1/2 (- (* 3/16 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))))) x)) (* 3/16 (/ 1 (sqrt (/ 1 x))))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) x)) (* 1/4 (/ 1 (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x))))
#s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) #s(hole binary64 (/ -1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) #s(hole binary64 (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))))
#s(approx (/ 1/8 (sqrt x)) #s(hole binary64 (/ -1/8 (* x (sqrt (/ 1 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
7.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (sqrt x) x (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x))) (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (/ x (/ (sqrt x) x)) (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) (/ 1 x) 1 (neg (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x)) 1/8 (sqrt (* x (- x -1))) (* x (- x -1)))
4.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (sqrt x) x (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x))) (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (/ x (/ (sqrt x) x)) (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) (/ 1 x) 1 (neg (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x)) 1/8 (sqrt (* x (- x -1))) (* x (- x -1)))
3.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (sqrt x) x (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x))) (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (/ x (/ (sqrt x) x)) (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) (/ 1 x) 1 (neg (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x)) 1/8 (sqrt (* x (- x -1))) (* x (- x -1)))

Time

Variable

Point

Expression

7.0ms

-inf

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

4.0ms

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

3.0ms

inf

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

rewrite181.0ms (4.6%)

Memory

-19.5MiB live, 122.5MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	3895
0	571	3394
1	3620	2777
0	8605	2687
1	23402	2687

Stop Event

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

Counts

149 → 321

Calls

Call 1

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

Outputs
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
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(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
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(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))))
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(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 x x))) (neg.f64 (neg.f64 (.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 (sqrt.f64 x) x)))
(/.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
x
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) (/.f64 (sqrt.f64 x) x))
(.f64 (.f64 x x) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 5/2 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
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(fabs.f64 (neg.f64 (/.f64 (sqrt.f64 x) x)))
(fabs.f64 (/.f64 (sqrt.f64 x) x))
#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (*.f64 (/.f64 x (sqrt.f64 x)) x))))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx ( (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (*.f64 (/.f64 x (sqrt.f64 x)) x))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (*.f64 (/.f64 x (sqrt.f64 x)) x))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (*.f64 (/.f64 x (sqrt.f64 x)) x)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (*.f64 (/.f64 x (sqrt.f64 x)) x)))
#s(approx (* (* (/ 1 (sqrt x)) (/ 1 x)) (* (* x x) x)) (*.f64 (/.f64 x (sqrt.f64 x)) x))
(*.f64 (/.f64 x (sqrt.f64 x)) x)
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(/.f64 x (/.f64 (sqrt.f64 x) x))
(.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
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eval41.0ms (1%)

Memory: 9.4MiB live, 54.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 023 to 1 578 computations (60.8% saved)

prune34.0ms (0.9%)

Memory

-10.7MiB live, 39.8MiB allocated; 7ms collecting garbage

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	393	15	408
Fresh	4	14	18
Picked	3	2	5
Done	0	0	0
Total	400	31	431

Accuracy

99.9%

Counts

431 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	8.2%	(fma.f64 (sqrt.f64 x) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	8.6%	(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
	6.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
▶	6.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
	40.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (sqrt (* x (- x -1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)))
	40.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	40.5%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	40.5%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	80.2%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	29.9%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	29.9%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) (fma.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
▶	98.4%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)) #s(approx (sqrt (* x (- x -1))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
	80.2%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (fma.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	78.7%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) x)) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
	78.7%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	26.8%	(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	40.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	96.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	96.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
▶	96.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) x))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (sqrt.f64 x))))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
	94.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
	39.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x))) (.f64 (*.f64 x x) x))))
	96.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
▶	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	78.6%	#s(approx (+ (* (sqrt x) (/ 1 x)) (neg (/ 1 (sqrt (- x -1))))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 x)))) (.f64 x x)))

Compiler

Compiled 1 156 to 1 098 computations (5% saved)

series19.0ms (0.5%)

Memory

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

Counts

39 → 155

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (/ 1/2 (/ (sqrt x) x)) 1/2 (/ (sqrt x) x) (sqrt x) x (/ 1/8 (sqrt x)) 1/8 (sqrt (* x (- x -1))) (* (- (+ (/ 1/2 x) 1) (/ 1/8 (* x x))) x) (- (+ (/ 1/2 x) 1) (/ 1/8 (* x x))) (+ (/ 1/2 x) 1) (/ 1/2 x) 1 (/ 1/8 (* x x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ (sqrt x) x) 1/2) x) (* (/ (sqrt x) x) 1/2) (+ (* (sqrt x) (/ x (* x x))) (neg (/ 1 (sqrt (- x -1))))) (/ x (* x x)) (neg (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (/ (- (* 1 (sqrt (- x -1))) (/ (* x x) (* (sqrt x) x))) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (/ (* x x) (* (sqrt x) x))) (* 1 (sqrt (- x -1))) (/ (* x x) (* (sqrt x) x)) (* (sqrt x) x) (sqrt (* x (- x -1))) (* x (- x -1)))
5.0ms	x	@	inf	((/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (/ 1/2 (/ (sqrt x) x)) 1/2 (/ (sqrt x) x) (sqrt x) x (/ 1/8 (sqrt x)) 1/8 (sqrt (* x (- x -1))) (* (- (+ (/ 1/2 x) 1) (/ 1/8 (* x x))) x) (- (+ (/ 1/2 x) 1) (/ 1/8 (* x x))) (+ (/ 1/2 x) 1) (/ 1/2 x) 1 (/ 1/8 (* x x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ (sqrt x) x) 1/2) x) (* (/ (sqrt x) x) 1/2) (+ (* (sqrt x) (/ x (* x x))) (neg (/ 1 (sqrt (- x -1))))) (/ x (* x x)) (neg (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (/ (- (* 1 (sqrt (- x -1))) (/ (* x x) (* (sqrt x) x))) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (/ (* x x) (* (sqrt x) x))) (* 1 (sqrt (- x -1))) (/ (* x x) (* (sqrt x) x)) (* (sqrt x) x) (sqrt (* x (- x -1))) (* x (- x -1)))
4.0ms	x	@	0	((/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/ (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) x) (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (/ 1/2 (/ (sqrt x) x)) 1/2 (/ (sqrt x) x) (sqrt x) x (/ 1/8 (sqrt x)) 1/8 (sqrt (* x (- x -1))) (* (- (+ (/ 1/2 x) 1) (/ 1/8 (* x x))) x) (- (+ (/ 1/2 x) 1) (/ 1/8 (* x x))) (+ (/ 1/2 x) 1) (/ 1/2 x) 1 (/ 1/8 (* x x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ (sqrt x) x) 1/2) x) (* (/ (sqrt x) x) 1/2) (+ (* (sqrt x) (/ x (* x x))) (neg (/ 1 (sqrt (- x -1))))) (/ x (* x x)) (neg (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (/ (- (* 1 (sqrt (- x -1))) (/ (* x x) (* (sqrt x) x))) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (/ (* x x) (* (sqrt x) x))) (* 1 (sqrt (- x -1))) (/ (* x x) (* (sqrt x) x)) (* (sqrt x) x) (sqrt (* x (- x -1))) (* x (- x -1)))

Time

Variable

Point

Expression

6.0ms

-inf

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

5.0ms

inf

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

4.0ms

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

rewrite810.0ms (20.4%)

Memory

-9.1MiB live, 236.8MiB allocated; 1.2s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	706	5386
0	768	4781
1	5014	3864
0	8661	3740
1	23931	3740

Stop Event

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

Counts

194 → 398

Calls

Call 1

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

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

eval44.0ms (1.1%)

Memory: 18.4MiB live, 63.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 638 to 1 809 computations (61% saved)

prune35.0ms (0.9%)

Memory

-0.4MiB live, 44.5MiB allocated; 8ms collecting garbage

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	414	8	422
Fresh	3	21	24
Picked	3	2	5
Done	0	2	2
Total	420	33	453

Accuracy

99.9%

Counts

453 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 x) x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	8.2%	(fma.f64 (/.f64 x (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	8.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	8.6%	(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
	6.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
	40.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (sqrt (* x (- x -1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)))
	40.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(approx (sqrt x) (/.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
	40.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	40.5%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	40.5%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	80.2%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	98.4%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(approx (sqrt (* x (- x -1))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
	98.4%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(approx (sqrt (* x (- x -1))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) x)))
	29.9%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	29.9%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) (fma.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
	80.2%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (fma.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	78.7%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(approx (- (/ 1/2 (/ (sqrt x) x)) (/ 1/8 (sqrt x))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) x)) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
	78.7%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	26.8%	(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	40.7%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	78.6%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 x)))) (.f64 x x)))
	94.5%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
✓	96.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	96.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
✓	96.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) x))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (sqrt.f64 x))))
	78.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
	39.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x))) (.f64 (*.f64 x x) x))))
	96.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 1 321 to 874 computations (33.8% saved)

regimes47.0ms (1.2%)

Memory

-29.5MiB live, 28.7MiB allocated; 23ms collecting garbage

Counts

60 → 1

Calls

Call 1

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

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

Outputs

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

Calls

2 calls:

33.0ms	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
98.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.4%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes22.0ms (0.6%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

48 → 1

Calls

Call 1

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

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

Outputs

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

Calls

2 calls:

12.0ms	x
9.0ms	(-.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
98.4%	1	`x`
98.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes27.0ms (0.7%)

Memory

-15.7MiB live, 29.7MiB allocated; 5ms collecting garbage

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

16.0ms	x
8.0ms	(-.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
98.6%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes24.0ms (0.6%)

Memory

-19.3MiB live, 25.8MiB allocated; 6ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.9%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes7.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
94.5%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Accuracy

Total -2.0b remaining (-3.3%)

Threshold costs -2b (-3.3%)

Counts

4 → 1

Calls

Call 1

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

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

bsearch3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.3345547783399656e+32	2.4016325082531476e+32

Samples

2.0ms

16×

valid

Compiler

Compiled 60 to 57 computations (5% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

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

derivations387.0ms (9.8%)

Memory

-6.5MiB live, 224.2MiB allocated; 47ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 111 to 74 computations (33.3% saved)

preprocess118.0ms (3%)

Memory

18.9MiB live, 166.2MiB allocated; 31ms collecting garbage

Remove

(negabs x)

(abs x)

Compiler

Compiled 829 to 750 computations (9.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.5s (38%)

preprocess44.0ms (1.1%)

series9.0ms (0.2%)

rewrite185.0ms (4.7%)

eval10.0ms (0.2%)

prune10.0ms (0.3%)

series18.0ms (0.4%)

rewrite288.0ms (7.3%)

eval41.0ms (1%)

prune24.0ms (0.6%)

series17.0ms (0.4%)

rewrite181.0ms (4.6%)

eval41.0ms (1%)

prune34.0ms (0.9%)

series19.0ms (0.5%)

rewrite810.0ms (20.4%)

eval44.0ms (1.1%)

prune35.0ms (0.9%)

regimes47.0ms (1.2%)

regimes22.0ms (0.6%)

regimes27.0ms (0.7%)

regimes24.0ms (0.6%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch3.0ms (0.1%)

derivations387.0ms (9.8%)

preprocess118.0ms (3%)

end0.0ms (0%)

Profiling